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Free Pre-Algebra Worksheets

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Tutor-USA offers 100%  Free Pre-Algebra Worksheets  and printables for use by math teachers, students, and homeschool parents. Many of our Pre-Algebra worksheets contain an answer key and can be downloaded or printed, making them great for Pre-Algebra homework, classwork, or extra math practice.

Pre-Algebra is typically taught in grades 6, 7, 8 in middle school math courses. The overall goal of Pre-Algebra is to prepare the student for Algebra and beyond.  

Pre-Algebra topics usually include natural numbers, integers, fractions, decimals, percents, exponents, factors, slope, properties of numbers, order of operations, and more. Students are also introduced to basic Algebra concepts such as variables and equations. Pre-Algebra students should be comfortable solving basic one or two step equations. 

Our collection of free Pre-Algebra worksheets can be found below. They are free for use in any educational setting. 

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Printable Pre-Algebra Worksheets

“Practice makes perfect,” prepare a stronger base for algebra with this assemblage of pre-algebra worksheets; featuring exercises on topics like fractions, decimals, integers, measurement, squaring numbers, order of operations, estimation, factors, GCF, LCM, ratio, percent, exponents, radicals, scientific notations, logarithms, absolute value, graph and more.

List of Pre-Algebra Worksheets

• Greatest common Factors (GCF)
• Least Common Multiples (LCM)
• Square roots
• Conversion of Units of Speed
• Absolute value

Explore the Pre-Algebra Worksheets in Detail

Factoring Worksheets

Gain immense practice with this batch of factoring worksheets. Learn to list out factors, find the prime factors, the Greatest Common Factor (GCF), the Least Common Multiple (LCM), draw the factor tree and much more.

Greatest common Factor (GCF) Worksheets

A collection of tailor-made GCF worksheets aimed at providing an in-depth knowledge of finding the GCF of two and three numbers, the GCF of monomials and GCF of polynomials. Venn-diagrams and factor trees can be used for a better understanding of the concept.

Least Common Multiple (LCM) Worksheets

Implement these pre-algebra worksheets featuring exercises to find common multiples, find the LCM of a pair of numbers, LCM of three numbers, the LCM of monomials and polynomials to mention a few.

Fraction Worksheets

Handy fractions worksheets feature identifying, simplifying, adding, subtracting, multiplying, dividing and arranging proper, improper and mixed fractions. Conversion of decimals and percents into fractions and vice-versa. Fraction word problems have been included here as well.

Decimal Worksheets

Dealing solely with the concept of decimals, included here are tasks to find the place value of decimals and to perform arithmetic operations on decimals, conversion of fractions, percentages to decimals and vice-versa. Additionally, find PDFs to estimate and round off decimals and decimal word problems as well.

Converting between Fractions and Decimals Worksheets

Flex your learning parameters with this exhaustive collection of practice worksheets and solidify skills in converting between fractions and decimals with clarity and accuracy.

Integer Worksheets

Umpteen integer worksheets encompassing exercises to add, subtract, multiply and divide integers, comparing and ordering integers, differentiating between absolute and opposite values of integers and many more.

Significant Figures Worksheets

Employ these significant figures worksheets that feature a number of exercises like identifying the number of significant figures in whole numbers and decimals, rounding to significant figures and much more!

Percent Worksheets

Access a great variety of percentage worksheets focusing on finding the percentage of the shaded area, finding the percentage of whole numbers and decimals, conversion of decimals and fractions to percentages and vice-versa. Word problems are enclosed as well.

Convert between Fractions, Decimals, and Percents Worksheets

Wish to attain mastery in the converting decimals to fractions, or converting decimals to percentages? Our enigmatic collection of printable assessment worksheets will help you reach your goal.

Ratio Worksheets

The objective of the ratio worksheets here is to provide extensive practice with engaging activities on part-to-part ratio, part-to-whole ratio, reducing ratio, equivalent ratios and word problems involving ratios to mention a few of the enormous collection.

Proportion Worksheets

This vast collection of printable proportion worksheets gives a clear understanding of the concept of proportion with exercises to identify and form a proportion, plot the graph, find the constant of proportionality, and word problems pertaining to proportion.

Direct and Inverse Variation Worksheets

This assemblage of direct and inverse variation worksheets features direct, inverse, combined and joint variations. Ample exercises to identify the type of variation, finding the constant; translating equations and real-life word problems are included as well.

Order of Operations Worksheets

Perform a combination of arithmetic operations on 3 numbers with 2 operators, 4 numbers with 3 operators, with parentheses and nested parentheses; simplify decimals and fractions using PEMDAS, BODMAS or DMAS.

Exponent Worksheets

Supplement your knowledge of exponents choosing from a variety of exponent worksheets. Identify the base and exponents, intermediate exponents, represent numbers in exponential notation using properties of exponents and a lot more.

Radical Worksheets

Navigate through a multitude of radical worksheets. Perform arithmetic operations on radicals and simplify them. Also, enclosed here are teaching aid charts and worksheets to rationalize the denominator.

Squaring Number Worksheets

Enrich your practice with this set of squaring numbers worksheets focusing on squaring whole numbers, integers, fractions, decimals and square roots to mention a few. Additionally, teaching aid square charts have also been included here.

Square root Worksheets

Obtain a set of printable square root worksheets that precisely deal with finding the square root of perfect and non-perfect squares, simplifying surds, finding the square root of decimals and fractions and many more.

Scientific Notation Worksheets

Equip yourself in writing scientific notations with this unit of pre-algebra worksheets, featuring tasks to rewrite scientific notations as standard form and vice-versa with positive, negative and mixed exponents. Simplify scientific notations as well.

Conversion of Units of Speed Worksheets

Are your children aware of the conversion factors required to convert between units of speed? Test their skills with our printable worksheets to convert m/s to km/h and vice versa, m/s to mph and vice versa, mph to km/h and vice versa!

Speed, Distance, and Time Worksheets

Traverse through our speed, distance, and time worksheets for exclusive exercises and word problems on finding each of the three measures given the other two, and to have a comparative study on speeds!

Logarithm Worksheets

Walk through this collection of pre-algebra worksheets involving exercises to convert logarithmic to exponential form, evaluating and solving logarithmic expressions, expanding using the power rule, product and quotient rule to list a few.

Absolute value Worksheets

Browse through an extensive range of absolute value worksheets that include tasks to find the absolute value of integers or fractions, perform arithmetic operations involving the absolute value of real numbers and much more.

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Unit 12: Multi-step equations

Equations with variables on both sides.

• Intro to equations with variables on both sides (Opens a modal)
• Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
• Equation with variables on both sides: fractions (Opens a modal)
• Equation with the variable in the denominator (Opens a modal)
• Equations with variables on both sides Get 3 of 4 questions to level up!
• Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!

Equations with parentheses

• Equations with parentheses (Opens a modal)
• Multi-step equations review (Opens a modal)
• Equations with parentheses Get 3 of 4 questions to level up!
• Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!

Number of solutions to equations

• Number of solutions to equations (Opens a modal)
• Worked example: number of solutions to equations (Opens a modal)
• Creating an equation with no solutions (Opens a modal)
• Creating an equation with infinitely many solutions (Opens a modal)
• Number of solutions to equations Get 3 of 4 questions to level up!
• Number of solutions to equations challenge Get 3 of 4 questions to level up!

Equations word problems

• Sums of consecutive integers (Opens a modal)
• Sum of integers challenge (Opens a modal)
• Sums of consecutive integers Get 3 of 4 questions to level up!

5 3 = 1 2 3 5 3 = 1 2 3

13 8 = 1 5 8 13 8 = 1 5 8

1 2 7 1 2 7

1 3 4 1 3 4

1 6 7 . 1 6 7 .

1 5 9 1 5 9

3 2 7 3 2 7

4 4 11 4 4 11

50 11 50 11

Correct answers include 6 10 , 9 15 , and 12 20 . 6 10 , 9 15 , and 12 20 .

Correct answers include 8 10 , 12 15 , and 16 20 . 8 10 , 12 15 , and 16 20 .

18 21 18 21

30 100 30 100

− 3 4 − 3 4

− 2 3 − 2 3

− 9 7 − 9 7

− 9 5 − 9 5

23 40 23 40

21 40 21 40

14 27 14 27

− 4 21 − 4 21

− 3 16 − 3 16

• ⓑ 44 x 3 44 x 3
• ⓒ − 4 11 − 4 11
• ⓓ 1 14 1 14
• ⓑ − 12 − 12
• ⓒ − 9 14 − 9 14
• ⓓ 1 21 1 21

− 9 14 − 9 14

− 10 21 − 10 21

21 5 p 21 5 p

15 8 q 15 8 q

− 85 6 − 85 6

9 s 14 9 s 14

5 y 6 5 y 6

a − b c d a − b c d

p + q r p + q r

11 14 11 14

− 2 7 − 2 7

− 10 3 − 10 3

3 4 b 3 4 b

25 49 . 25 49 .

− 3 5 , 3 −5 − 3 5 , 3 −5

−2 7 , 2 −7 −2 7 , 2 −7

x + 3 4 x + 3 4

y + 5 8 y + 5 8

9 p 8 9 p 8

9 q 5 9 q 5

3 8 3 8 , models may differ.

1 6 1 6 , models may differ

x − 2 7 x − 2 7

y − 13 14 y − 13 14

− 16 x − 16 x

− 22 a − 22 a

9 12 , 10 12 9 12 , 10 12

− 35 60 , 44 60 − 35 60 , 44 60

52 96 , 51 96 52 96 , 51 96

72 224 , 189 224 72 224 , 189 224

79 60 79 60

103 60 103 60

75 224 75 224

37 210 37 210

− 25 96 − 25 96

3 y + 14 18 3 y + 14 18

5 x + 14 30 5 x + 14 30

• ⓐ − 11 12 − 11 12
• ⓑ − 1 8 − 1 8
• ⓐ − 10 3 − 10 3
• ⓑ 13 12 13 12
• ⓐ 27 a − 32 36 27 a − 32 36
• ⓑ 2 a 3 2 a 3
• ⓐ 24 k + 25 30 24 k + 25 30
• ⓑ 24 k 25 24 k 25
• ⓑ − 1 2 − 1 2
• ⓑ − 1 4 − 1 4

− 23 8 − 23 8

− 1 2 − 1 2

− 5 2 − 5 2

4 2 3 4 2 3

3 1 2 3 1 2

5 6 7 5 6 7

7 9 11 7 9 11

16 1 2 16 1 2

15 1 3 15 1 3

9 1 3 9 1 3

6 3 5 6 3 5

2 2 3 2 2 3

1 5 7 1 5 7

6 7 12 6 7 12

12 3 10 12 3 10

4 7 10 4 7 10

2 11 12 2 11 12

− 41 8 − 41 8

− 757 63 − 757 63

− 4 15 − 4 15

− 6 7 − 6 7

− 19 3 − 19 3

n 7 = −21 ; n = −147 n 7 = −21 ; n = −147

n 8 = −56 ; n = −448 n 8 = −56 ; n = −448

q −8 = 72 ; q = −576 q −8 = 72 ; q = −576

p −9 = 81 ; p = −729 p −9 = 81 ; p = −729

2 5 f = 16 ; f = 40 2 5 f = 16 ; f = 40

3 4 f = 21 ; f = 28 3 4 f = 21 ; f = 28

n 2 3 = 5 12 ; n = 5 18 n 2 3 = 5 12 ; n = 5 18

c 3 8 = 4 9 ; c = 1 6 c 3 8 = 4 9 ; c = 1 6

5 8 + x = 1 4 ; x = − 3 8 5 8 + x = 1 4 ; x = − 3 8

1 3 4 − x = 5 6 ; x = 11 12 1 3 4 − x = 5 6 ; x = 11 12

Section 4.1 Exercises

• ⓐ 5 4 = 1 1 4 5 4 = 1 1 4
• ⓑ 7 4 = 1 3 4 7 4 = 1 3 4
• ⓒ 11 8 = 1 3 8 11 8 = 1 3 8
• ⓐ 11 4 = 2 3 4 11 4 = 2 3 4
• ⓑ 19 8 = 2 3 8 19 8 = 2 3 8

1 2 3 1 2 3

2 3 5 2 3 5

3 1 9 3 1 9

3 2 15 3 2 15

Answers may vary. Correct answers include 2 6 , 3 9 , 4 12 . 2 6 , 3 9 , 4 12 .

Answers may vary. Correct answers include 10 12 , 15 18 , 20 24 . 10 12 , 15 18 , 20 24 .

Answers may vary. Correct answers include 10 18 , 15 27 , 20 36 . 10 18 , 15 27 , 20 36 .

Answers will vary.

Section 4.2 Exercises

− 5 11 − 5 11

− 12 7 − 12 7

10 21 10 21

− 7 8 − 7 8

− x 4 y − x 4 y

2 x 2 3 y 2 x 2 3 y

27 40 27 40

− 1 6 − 1 6

− 2 9 − 2 9

− 21 50 − 21 50

11 30 11 30

20 11 20 11

1296 625 1296 625

− 17 5 − 17 5

− 1 19 − 1 19

16 15 16 15

− 5 4 − 5 4

18 5 y 18 5 y

25 2 c 25 2 c

14 r 15 s 14 r 15 s

− 1 25 − 1 25

• ⓐ 4 2 3 = 8 3 = 2 2 3 4 2 3 = 8 3 = 2 2 3
• ⓑ Answers will vary.

1 8 yard 1 8 yard

Section 4.3 Exercises

44 21 44 21

− 16 3 − 16 3

− 63 16 − 63 16

− 4 3 − 4 3

7 v 13 7 v 13

A 3 − B A 3 − B

− 15 22 − 15 22

− 3 10 − 3 10

3 r 5 s 3 r 5 s

9 2 y 9 2 y

− 1 18 − 1 18

−4 9 , − 4 9 −4 9 , − 4 9

13 −6 , −13 6 13 −6 , −13 6

− 1 3 − 1 3

26 25 26 25

51 20 51 20

• ⓐ 4 3 = 1 1 3 cups 4 3 = 1 1 3 cups
• ⓑ 80 3 = 26 2 3 cups 80 3 = 26 2 3 cups

Section 4.4 Exercises

y + 2 3 y + 2 3

9 a 7 9 a 7

−4 x 5 −4 x 5

− 13 12 − 13 12

− 8 3 − 8 3

x − 8 19 x − 8 19

11 z − 8 13 11 z − 8 13

− 14 c − 14 c

− 55 v − 55 v

3 d 11 3 d 11

− 14 s 3 − 14 s 3

− 3 11 − 3 11

− 1 8 − 1 8

6 − s 11 6 − s 11

49 27 49 27

1 4 cup 1 4 cup

Section 4.5 Exercises

5 20 , 4 20 5 20 , 4 20

14 24 , 15 24 14 24 , 15 24

33 48 , − 20 48 33 48 , − 20 48

20 60 , 45 60 , 36 60 20 60 , 45 60 , 36 60

11 24 11 24

23 20 23 20

19 24 19 24

− 53 80 − 53 80

− 291 245 − 291 245

11 40 11 40

3 y + 4 6 3 y + 4 6

4 x − 5 20 4 x − 5 20

• ⓐ − 37 40 − 37 40
• ⓑ − 1 10 − 1 10
• ⓐ 9 a 14 9 a 14
• ⓑ 9 a − 14 24 9 a − 14 24
• ⓐ − 4 3 q − 4 3 q
• ⓑ 12 − 25 q 45 12 − 25 q 45

− 2 15 − 2 15

−33 − 8 x 88 −33 − 8 x 88

16 39 16 39

36 25 36 25

19 30 19 30

91 60 91 60

• ⓑ − 1 6 − 1 6

− 9 16 − 9 16

She needs 2 3 8 cups She needs 2 3 8 cups

Section 4.6 Exercises

3 2 3 3 2 3

7 5 9 7 5 9

11 1 3 11 1 3

1 1 6 1 1 6

6 2 5 6 2 5

1 7 9 1 7 9

7 11 12 7 11 12

16 1 6 16 1 6

5 11 20 5 11 20

−1 11 24 −1 11 24

6 17 18 6 17 18

8 3 4 8 3 4

5 3 5 5 3 5

13 1 13 13 1 13

7 1 30 7 1 30

10 27 10 27

2 7 45 2 7 45

17 24 17 24

7 12 yards 7 12 yards

13 1 4 inches 13 1 4 inches

Section 4.7 Exercises

m = 1 2 m = 1 2

h = − 2 3 h = − 2 3

p = 37 40 p = 37 40

k = − 7 15 k = − 7 15

k = 18 7 k = 18 7

v = − 11 3 v = − 11 3

k = 17 20 k = 17 20

g = 1 9 g = 1 9

q = − 3 4 q = − 3 4

n = 14 5 n = 14 5

y = − 25 24 y = − 25 24

d = − 8 15 d = − 8 15

n 6 = −24 ; n = −144 n 6 = −24 ; n = −144

m −7 = −8 ; m = 56 m −7 = −8 ; m = 56

f −4 = −20 ; f = 80 f −4 = −20 ; f = 80

g 9 = 14 ; g = 126 g 9 = 14 ; g = 126

2 5 q = 20 ; q = 50 2 5 q = 20 ; q = 50

4 9 p = −28 ; p = −63 4 9 p = −28 ; p = −63

h 2 = 43 h 2 = 43

a 2 3 = 3 4 a 2 3 = 3 4

3 4 + x = 1 8 ; x = − 5 8 3 4 + x = 1 8 ; x = − 5 8

y − 1 3 = − 1 6 ; y = 1 6 y − 1 3 = − 1 6 ; y = 1 6

Review Exercises

5 8 11 5 8 11

Answers may vary.

− x y − x y

− 4 7 − 4 7

24 11 m 24 11 m

− 268 11 − 268 11

V h − 6 V h − 6

x + 7 10 x + 7 10

− 19 15 − 19 15

9 24 and 20 24 9 24 and 20 24

20 60 , 15 60 and 48 60 20 60 , 15 60 and 48 60

− 77 90 − 77 90

3 y − 10 30 3 y − 10 30

14 d 11 14 d 11

256 225 256 225

• ⓐ − 8 5 − 8 5
• ⓑ − 11 20 − 11 20

13 2 3 13 2 3

8 1 11 8 1 11

5 1 10 5 1 10

n = − 5 11 n = − 5 11

h = − 51 40 h = − 51 40

q − 1 10 = 1 2 ; q = 3 5 q − 1 10 = 1 2 ; q = 3 5

3 8 y = 24 ; y = 64 3 8 y = 24 ; y = 64

Practice Test

12 25 12 25

5 p 2 q 5 p 2 q

− 7 13 − 7 13

− 9 4 x − 9 4 x

y = 4 5 y = 4 5

f = 13 12 f = 13 12

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• Book title: Prealgebra
• Publication date: Sep 25, 2015
• Location: Houston, Texas
• Book URL: https://openstax.org/books/prealgebra/pages/1-introduction
• Section URL: https://openstax.org/books/prealgebra/pages/chapter-4

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Pre-Algebra Worksheets: FREE & Printable (Updated for 2024)

Are you embarking on the exciting journey of Pre-Algebra and looking for resources to guide your path? Whether you're a student preparing for an upcoming Pre-Algebra test, a teacher seeking additional materials for your classroom, or a parent aiming to support your child's mathematical journey, you've come to the right place!

In this comprehensive guide, we offer a treasure trove of free printable Pre-Algebra worksheets and exercises designed to reinforce key concepts and enhance your understanding. Our resources cater to a wide range of learning styles and proficiency levels, ensuring everyone can find something to suit their needs.

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The Absolute Best Books to Ace Pre-Algebra to Algebra II

The Ultimate Algebra Bundle From Pre-Algebra to Algebra II

Pre-algebra concepts, whole numbers.

• Whole Number Addition and Subtraction
• Whole Number Multiplication and Division
• Rounding and Estimates

Fractions and Decimals

• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding and Subtracting Mixed Numbers
• Multiplying and Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing Decimals
• Rounding Decimals
• Factoring Numbers
• Greatest Common Factor
• Least Common Multiple

Real Numbers and Integers

• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Ratio and Rates Word Problems
• Percentage Calculations
• Percent Problems
• Discount, Tax and Tip
• Percent of Change
• Simple Interest

Algebraic Expressions

• Simplifying Variable Expressions
• Simplifying Polynomial Expressions
• Translate Phrases into an Algebraic Statement
• The Distributive Property
• Evaluating One Variable Expressions
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One-Step Equations
• Multi-Step Equations
• Graphing Single–Variable Inequalities
• One-Step Inequalities
• Multi-Step Inequalities
• Systems of Equations
• Systems of Equations Word Problems
• Quadratic Equation

Linear Functions

• Finding Slope
• Graphing Lines Using Line Equation
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding Midpoint
• Finding Distance of Two Points

Exponents and Radicals

• Multiplication Property of Exponents
• Zero and Negative Exponents
• Division Property of Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Square Roots

The Great Book to Ace the Pre-Algebra

Pre-Algebra Practice Workbook The Most Comprehensive Review of Pre-Algebra

Polynomials.

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Geometry and Solid Figures

• Pythagorean Relationship
• Rectangular Prism
• Pyramids and Cone

Statistics and Probability

• Mean and Median
• Mode and Range
• Stem–and–Leaf Plot
• Probability Problems
• Combinations and Permutations

Pre-Algebra Practice Questions

Proportions and ratios, solid figures.

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The Best Books to Ace Algebra

College Algebra Practice Workbook The Most Comprehensive Review of College Algebra

Algebra i for beginners the ultimate step by step guide to acing algebra i, algebra ii for beginners the ultimate step by step guide to acing algebra ii, pre-algebra tutor everything you need to help achieve an excellent score.

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Algebra I Practice Workbook The Most Comprehensive Review of Algebra 1

Algebra ii practice workbook the most comprehensive review of algebra 2, high school algebra i a comprehensive review and step-by-step guide to mastering high school algebra 1.

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Balance Equations Practice

1st -  5th  , solving systems of equations, solving equations with variables on both..., adding and subtracting on a number line, 1st -  2nd  , one and two step equations, 43.5k plays, solving absolute value equations and ine..., 11th -  12th  , solving equations with variables on both..., university  , adding and subtracting integers.

Pre-Algebra Assignment #1

7th - 9th grade, mathematics.

12 questions

Introducing new   Paper mode

No student devices needed.   Know more

• 1. Multiple Choice Edit 45 seconds 1 pt 7.    -4y = 48 x = -52 x = -12 x = -44 x = -13
• 3. Multiple Choice Edit 1 minute 1 pt Solve the equation: -3 + x = -12 x = 9  x = -15 x = -9 x = 15
• 4. Multiple Choice Edit 1 minute 1 pt Solve the equation:  x + 7 = 12 x = 5 x = 19 x = -5 x = 84
• 5. Multiple Choice Edit 1.5 minutes 1 pt 15 = 2a + 7 2 4 12 14
• 6. Multiple Choice Edit 15 minutes 1 pt Solve  3x - 7 = 32 13 -13 12 -12
• 7. Multiple Choice Edit 30 seconds 1 pt -10(5x-3) = 330 x=9 x=55 x=6 x=-6
• 8. Multiple Choice Edit 30 seconds 1 pt Solve the equation for x: 17 = 12x - 9x + 2x + 2 x = 1 x = 2 x = 3 x = 4
• 9. Multiple Choice Edit 15 minutes 1 pt 7w + 5 = 3w - 15 5 -2 2 -5
• 10. Multiple Choice Edit 15 minutes 1 pt -2x - 69 = -9x + 29 12 11 14 10
• 11. Multiple Choice Edit 5 minutes 1 pt Solve for x: 4(1-x)+3x=-2(x+1) x = -6 x = 6 x = 3
• 12. Multiple Choice Edit 1 minute 1 pt 8 = 4v + 12 -1 1 0 -10

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Easy Peasy All-in-One Homeschool

A complete, free online christian homeschool curriculum for your family and mine, pre-algebra.

Learn about our  books to work offline .

Workbook  /  Parent Guide

This course does not have a Printables book/packet. If your student wants worksheets, they can use the Workbook along with their online lessons.

Found a problem? Check here .

How to Use:

• PLEASE carefully read and follow your directions each lesson.
• Sometimes you may be smarter than the computer. If you get an answer marked wrong, but you are sure you are right, you can write to us to check. Then we can make a note of it for other students taking the course after you.
• This is a combination of Master Math, Mathematics Essentials and  GA Virtual Learning  (with other extras thrown in). On the GA site you will click on the tab for the page numbers I list. On Master Math you will watch the video and take the quiz.
• If I tell you to take the quiz, but you don’t see it on the page, click on the words “Quiz Group” on the page and it should appear.
• You will follow my instructions. You may read somewhere about a test or sending your work to your teacher. Those things aren’t talking to you. Just follow the directions on this site.
• Sometimes there are groups of lessons listed together. You will need to be responsible and gauge your time and work through the material, making sure you complete all of the required activities and lessons by the last day. You are basically going to be doing a lesson a day. I use this method so that if you need more time on a lesson you can take it. Sometimes I will direct you to do a worksheet if you had trouble with a topic. Sometimes I just ask you to complete the activities. If you can’t, then you need to go and read/watch the lesson first. I put in extra days to help those of you who need the extra time for the lessons. If you don’t need the extra time, I put in games and activities for you to complete on those “extra” days.

Course Description : Students will use texts, videos and online interactives to explore the world of algebra. Students will engage in problem solving, graphing, quizzes and projects. Students will apply transformations to two-dimensional and three-dimensional figures and observe geometric properties. They will use algebraic expressions, equations, or inequalities in one variable to represent and evaluate a given situation. They will apply basic concepts of set theory and also determine subsets, complements, intersection, and union of sets. Students will utilize equations, tables and graphs to analyze and interpret linear functions and make inferences from statistical data.

Arithmetic Properties

Welcome to your first day of school! I wanted to give you one important reminder before you begin. Many of your lessons below have an internet link for you to click on. When you go to the different internet pages for your lessons, please DO NOT click on anything else on that page except what the directions tell you to. DO NOT click on any advertisements or games. DO NOT click on anything that takes you to a different website. Just stay focused on your lesson and then close that window and you should be right back here for the next lesson. Okay?

• If you didn’t get here through  My EP Assignments , I suggest you go there and create an account.
• There is an offline version of this course if you’d like it in workbook form. Go to the top of the course page for book links.
• Review  order of operations .
• Play the game.  PEMDAS
• This is the end of your work for this course for your first day. You are allowed to move at your own pace (this is homeschooling), but it’s intended you complete one lesson a day.
• Review number properties . Answer the first five questions under commutative and associative.
• Practice distributive property .

Factors and Multiples

• Read about divisibility tests . Follow the directions.
• Practice divisibility tests .
• When it tells you to find the prime factorization, find it before going to the next page.
• When it tells you to make a factor tree, then draw one before you turn the page.
• If you need to, watch the video to get started on the game.
• You are going to click on the + at the top and make a tree like you just did. You will take it one step further and write out the prime factorization. An example: If it’s 2 x 2 x 2 x 5, you would type 2 and then 3 in the exponents box. Then you would click on the + to enter another number and enter 5. You could leave that exponent box blank because there is only one 5.
• Do a few of these before playing the game.
• If you need more: GCF , LCM
• If you need more: GCF
• If you need more: LCM
• Simplify fractions . Try at least five of the questions at the bottom of the page.
• Add fractions  with common denominators. Choose Add Fractions and Same Denominator.
• Review  subtracting fractions .
• Add and subtract  fractions . This time choose fractions with unlike denominators.
• Make sure to do both addition and subtraction.
• Review  multiplying fractions .
• Review  dividing fractions .
• Practice  multiplying and dividing fractions . Make sure to do both.
• Watch the video on estimating sums and differences of fractions .
• Round mixed numbers  to the nearest whole number.
• Practice estimating sums and differences of mixed numbers  to the nearest whole number.
• Watch the video on simplifying complex fractions .
• Practice simplifying complex fractions .
• Review  decimal place value .
• Scroll down and try the exercise until you think you got it.
• Round these decimals . Look at the place value to the right of the one you are rounding to. If you are rounding to the nearest tenth, you look at the hundredths to see if it is less than five.
• Figure out the  decimal . Type in the number you guess and then click on the green check mark. Adjust your guess based on the feedback. First figure out the ones, then the tenths, then the hundredths.
• Play an adding decimals  game. (If you can’t remember how to do this, you can use this  lesson  instead of the games.)
• Then play with subtracting decimals .
• Multiply the  decimals . Follow the directions to play. If you can’t remember how to do this, you can use this  lesson  instead. (If you’d rather  multiply  without the game, use this one. Choose decimals and multiplication.)
• Divide the  decimals . There is a lesson you can do if you want a refresher, and then answer the questions at the bottom of the page by clicking on Question 1 to get started.

Negative Numbers

• Order the  negative numbers . Scroll down and do the activity at the bottom of the page.
• Review absolute value .
• Review opposite numbers .
• Play the game .
• Review adding and subtracting integers if necessary.
• Add and subtract  negative numbers. Choose Addition and Negatives. Choose your own level.
• After you’ve gotten at least two confetti showers, click on Go Back and choose Subtraction with Negatives.
• Here’s  more  if you want the instruction and practice. ( Answers )
• Review  multiplying integers  if necessary.
• Remember that dividing is just multiplying by the inverse, the opposite, so the same rules apply for negatives whether multiplying or dividing.
• Choose Multiplication and Negatives. Choose a level.
• Once you’ve gotten at least two confetti showers, click on Go Back and choose Division and Negatives. Choose a level.
• Pick an operation (addition, subtraction, multiplication, division).
• Check both “decimals” and “negatives.”
• Try two different levels.
• Go back and pick a different operation. Check decimals and negatives. Try two levels.
• You should see confetti at least four times.
• Review operations with integers. Complete four columns .
• Learn about the coordinate plane. Watch the video or follow the steps .
• Find the  house location .
• Catch up if you are behind.
• Go back and try again and practice what you had trouble with.
• Follow the directions to  round the numbers .
• Here are some brain teasers . There is even a math section.

Ratios, Proportions, and Percents

• Review ratios and rates . ( Answers )
• Do  ten problems  on this page. Scroll down to find them.
• Practice finding the unit rate .
• Review proportions . Read through the lesson. Make sure you click on “next” and go through the different parts of the lesson. The practice problems on Step 4 aren’t working, so stop at that point.
• Remember to always simplify your answer (no improper fractions and always reduce).
• Practice  cross multiplying  to solve a problem. Read over the page to remind yourself. Then do questions 1 and 3 at the bottom of the page.
• Explore with  percent . To do that, make different fractions, do at least five, and divide the top number by the bottom number and multiply by 100. That’s the percent. 1/2 = .5  Multiply by 100 and that’s 50   One half is 0.50, which is 50%. You can use a  calculator . Find the percent for each fraction. See the correlation between the fraction, the picture, and the percent. They are all equal.
• That’s 23 out of 100.
• Enter 1/10, one tenth, in the first. Click on the up arrow to watch equivalent fractions form as the one tenth is multiplied. It will only let you go to four.
• If you could go to ten, that would be 10/100 or ten out of 100, 10%.
• That’s what you are doing when you are changing a fraction into a percent. Seeing how many parts of 100 it is. If you can turn it into an equivalent fraction with 100 as the denominator, then that shows you the percent in the numerator. If you can’t, you can divide like you did in assignment 1 above.
• Find  percentages . Look through the lesson and do the questions. The number 1 is 100 percent.
• To find the percent, you divide the fraction and multiply by 100. To find the fraction, put the percent over 100 and simplify.
• Review the relationship between  fractions, decimals and percents . Just read.
• Read about percentages  and answer questions 1 – 8 at the bottom of the page.
• Read about  percent of change .
• Try the  exercises . Be sure to read the instructions and round your answer to the nearest tenth of a percent. You can just do the odds.
• Check your  answers .
• Play with  percent . Do the columns on discount and sale price.

Measurement

• Read about the  metric  units. You can stop when it says, “Making Other Units.” You do NOT have to do the questions.
• Watch the video on converting between metric units .
• Choose between the distance and weight options. Try some from a few different categories and try them converting in both directions.
• Read about the customary units .
• Do the questions at the bottom of the page.
• Watch the video on converting units of measure .
• Take the quiz on the page. If you get more than one wrong on the quiz, complete the worksheet for more practice. On any page like this, use the video as your lesson and then take the quiz.
• Catch up and review. Take an extra day on any of the previous topics.
• You can click on the ratios and proportions video at this link if that’s something that gives you trouble.
• Play Dirt Bike Proportions .
• Review measurement conversions .
• Remind yourself what a  square root is. You can stop when it says, “Calculating Square Roots.” You do NOT have to do the questions.
• Practice . Choose SQRT.
• Learn about  rational and irrational numbers . Just read.
• Try to answer the first five  rational or irrational  questions.
• Scroll down and answer  problems 1-4 .
• Determine two consecutive integers that a square root is between. Watch or read .
• Watch the video on approximating square roots to the nearest integer .
• Watch the video on approximating square roots to the nearest tenth .
• Follow the lesson on simplifying square roots .
• Simplifying Square Roots.
• Take the quiz on the page. If you get more than one wrong on the quiz, complete the worksheet for more practice.
• Review simplifying square roots . Just read.
• Learn about surds . Go through the first two pages and answer the questions at the end.
• Using the Pythagorean Theorem.
• There are many ways to prove the Pythagorean Theorem. Here is one if you are interested.
• Read and answer the questions on the page.
• Try simplifying square roots .
• Try the ratio challenge .
• If you are in the US, you can play Bubble Function  (You can scroll over to Level 7 to work on exponents). (It will probably only let you play so far before asking you to make an account. It’s free to do so.)
• What is an exponent?
• Read and answer the questions.
• Negative exponents.
• Learn about multiplying and dividing powers .
• Learn about raising products and quotients to powers .
• Try this challenge .

Lesson 43(*) NOTE that an asterisk * indicates that there is a worksheet in this lesson. And asterisk inside parentheses (*) means it’s optional to print.

• Watch the video on  exponent rules . You could also, or instead, use the  notes .
• Try the  matching activity  to make sure you understand the rules.
• (*) Open the  assignment  and complete the problems. Start with number 3. (Skip the first two.) (source: GVL)  NOTE: Do NOT click on “source” links.  Those tell us where we originally got the lesson material from. You do NOT need it for your lesson.
• Check your answers .
• Scientific Notation   Watch the video for the lesson.
• Play a  game  with scientific notation.
• Learn how to multiply and divide in scientific notation .
• Reciprocal in Algebra.
• Make sure you know the key terms . You could test yourself using the crossword puzzle . (source: GVL)
• Take the  quiz on scientific notation.
• Pick a game on exponent rules.
• Find the  ratios/rates  by completing the ratio tables.
• Use the Pythagorean theorem to find the  missing side .
• Play an exponent game . Choose POW and Hard.

Geometry – Angles Relationships

Lesson 49 (If you have access to a ruler and protractor, they would come in handy for this section.)

• Remind yourself what an angle is.
• Learn to use protractor .
• Measure with a protractor.
• Learn about  angle relationships . ( Answers )
• Name the  types of angles .
• Find the  missing angle .
• Continue learning about  angle relationships .
• Practice with  angles .
• Review angles associated with parallel lines . Answer the questions.
• Practice angle relationships with parallel lines .

Geometry – Triangles, Quadrilaterals, and Polygons

• Here’s a  worked example  if you want it.
• Here the proof if you are interested. Watch or read .
• Classify the triangles .
• Find the  missing angle . Do at least the first four.
• Here’s a  worked example if you want it.
• Read the proof if you are interested. Scroll down a bit to find it.
• Find the missing angle in triangles and quadrilaterals .
• Play with a polygon if you want.
• Identify the polygons .
• Hint: ( Add 180 each time. )
• Go through this and try the  examples .
• Find the angles of a polygon .
• Read the info about the Pythagorean Theorem .
• Play this  angles game .
• Play this  polygon game.
• Pythagorean Theorem game  This plays an ad before the game.
• Finding angle measures using triangles

Geometry – Similar Figures and Scale Drawings

• Read about  congruent and similar  figures.
• How do you find missing measurements of similar figures? Watch or read .
• Find angle measures of similar figures . Do a few.
• Now can you figure out the lengths of the sides?
• Here is another example .
• Here are more real-life examples . Try out the problems before you check the solutions.
• Learn about  scale drawings . ( Answers )
• Practice with  proportion and scale practice .
• Try to answer questions about these scale drawings .

Geometry – Symmetry and Transformations

• Learn about  reflection symmetry . Answer the questions.
• Learn about rotational symmetry . Answer the questions.
• Identify lines of symmetry
• How many points of  rotational symmetry  do these shapes have? That means they look the same when rotated to a certain degree.
• Watch this video on  transformations .
• Identify transformations .
• Can you figure out what types of transformations are needed? Choose one, then drag the shape or arrow to move the shape. Then you can choose another transformation. You can use the help hints and then try it again if you get stuck.
• Find the coordinates after  translation .
• Find the line of  reflection .
• Click on the little triangle button.
• Draw a triangle or square shape which includes the origin. Put the points on corners.
• Predict the new coordinates when the shape is rotated 90 degrees around the origin.
• Click on the next little button with three dots.
• Click the point on the origin to highlight it.
• Click in the middle of the shape to bring up a keyboard. Type in 90 degrees and submit.
• Were you correct? Try again.
• Read about dilation and scale factor .
• Find the coordinates after dilation .
• There are some videos on transformations on this page if you want more help.
• Jeopardy : Proportions, Scale Drawings & Similar Figures
• Jeopardy : Transformations

Geometry – Volume and Surface Area

• Review the perimeter and circumference formulas of plane shapes and try the examples.
• Review the area formulas of plane shapes and try the examples.
• Play with the   area calculator .
• Learn about finding the  composite area , the total area. ( Answers )
• Practice finding the area of composite shapes .
• Watch the video on finding the volume of prisms and cylinders .
• Practice finding the volume of prisms and cylinders.
• Watch the video on finding the volume of pyramids and cones .
• Practice finding the volume of pyramids and cones.
• Read about finding the surface area using nets .
• Practice finding the surface area by adding up the area of each face.
• Surface Area of Cylinders, Pyramids and Cones
• Play Jeopardy to review the surface area and volume of solids.
• Angles with Parallel Lines
• Area challenge

Data Analysis and Graphs

• Read the definitions of  mean, median, and mode .
• Here is an example .
• Box-and-Whisker Plots
• Here’s another lesson and examples if you want it.
• Read the  overview of graphing data .
• At the end of the page click on  Data Graphs .
• Create each type of graph using the tool on the page. You can start by clicking on table and filling in values. It can be made up, but make it sort of real. Don’t type in “asfaewgvabe.” Type in “Favorite Foods,” or whatever. When it’s complete, click on each type of graph. Which most effectively shows your information?
• Scatter Plots
• Choosing a Data Display
• Play Mean, Median, and Mode .

Sets and Counting

• Watch the video  on set notation and the one on  Venn diagrams . If you prefer reading, here are the same topics as the videos ( one ,  two ,  three )
• Take the quiz .
• Read about  subsets and stop when you get to a set with six elements.
• Create and fill a chart in your notebook for six elements.
• Read about sample space and tree diagrams .
• Read about the  counting principle  and try the examples.
• Read about  factorials . (You don’t have to read the “Advanced Topics” unless you want to.)
• Answer questions 1-3 at the bottom of the page.
• Here’s some more practice .
• Learn about combinations and permutations. Try the first 6 examples on this video .
• Explain the difference between combination and permutation.
• You can try the rest of examples on the video if you want to.
• Review factorials if you need to.
• Read about how factorials are used in permutations . Try the examples.
• Here’s some practice .
• Venn Diagrams
• Counting principle, permutations, and combinations

Probability

• Go through the lesson on  finding the odds .
• Go through the example and try the  practice problem .
• Watch the video on the probability of simple events.
• Go through the yellow marble and non-blue marble videos on the left if you need more examples.
• Find the simple probability .
• Review the counting principle if you need to.
• Watch the video on the probability of compound events.
• Find the probabilities of compound events .
• Read about experimental probability . ( Answers )
• Take legos or coins. Write out how many of each type you expect to draw of each over ten trials.
• Pick ten out of a bag and record the outcome of ten trials. Make a bar graph showing how many of each type you drew from the bag.
• If you did more trials, how do you think that would affect the comparison between the theoretical and empirical data?
• Play Probability Fair .
• Play Chances . If you roll six dice, what would you expect the result to be?
• Play Quincunx .
• Play with fractions .
• Play with decimals .
• Play with integers .
• Play with exponents .
• Play with triangles .
• Play with polygons .
• Play with area and volume . (Cubes for 300 has an error in the answer. Reveal the answer here: 150 cm cubed .)
• Play with probability .

Algebra – Solving Linear Equations in One Variable

• Learn about  writing and evaluating expressions . ( Answers )
• Practice writing expressions.
• Practice evaluating expressions .
• Watch the video on  combining like terms .
• Watch the video on simplifying expressions .
• Practice using the  distributive property with variables .
• Practice simplifying expressions .
• Learn about solving equations by adding or subtracting .
• Learn about solving equations by multiplying or dividing .
• Solve some  one-step equations .
• Review operations with integers . Complete four columns.
• Review solving equations with integers . ( Answers )
• Complete the odd numbers . You don’t have to print this. You can just do the work in your notebook. ( Answers )
• Review solving two-step equations . ( Answers )
• Model  two-step equations .
• Practice with two-step equations .
• Learn about  solving two-step equations with fractions and decimals .
• Watch the  video  on using the LCD to help you solve equations.
• Solve the equations with decimals and fractions .
• Learn about solving  multi-step equations .
• Solve the multi-step equations .
• Learn about  solving equations with variables on both sides .
• Solve the equations with variables on both sides .
• Balance some  equations . For example: You’d make the expression 3 x + 1 by dragging three x blocks and one 1 block onto the scale.
• y – 10 = 12
• y – 10 = -12
• Solve some  absolute value equations . Do the examples at the bottom of the page.
• Review equations of all types .
• Solve these equation word problems . Don’t just solve in your head. Write an equation in your notebook and solve to answer each question.
• PLEASE NOTE: The last one in the bottom right corner, Complex Consecutive for 500…the question should be THREE numbers, not four, so you are looking for two even numbers in a row that add up to 46 (hint, hint).
• Rewriting Equations and Formulas
• Balancing equations
• Two-step equations
• Story problem clue words
• Create equations with no solutions or infinitely many solutions

Algebra – Solving Linear Inequalities in One Variable

• Learn about  writing and graphing inequalities .
• Practice writing inequalities .
• Practice graphing inequalities .

Lesson 109(*)

• Watch the video about  solving inequalities with addition  and this one about solving with  multiplication and division .
• (*) Practice solving inequalities with addition and subtraction and with multiplication and division.
• Review solving multi-step inequalities . ( Answers )
• Solve multi-step inequalities .
• Solve the first five inequalities  on this page.
• Review inequalities of all types .
• Can you answer five inequality word problems ?
• Here are harder ones. Can you solve three of these inequality word problems ?
• Inequality word problems

Algebra – Graphing Linear Equations and Inequalities in Two Variables

Lesson 114*

• *Print out  graph paper . You can print out several pages and hold onto them.
• Graphing Linear Equations with Tables
• If you get more than one wrong on the quiz, complete the worksheet for more practice.
• Finding the Slope of a Line
• Graphing Linear Equations in Slope-Intercept Form
• Read about graphing linear equations in standard form .
• Practice converting a linear equation in standard form to slope-intercept form .
• Read about graphing linear equations using intercepts .
• Practice graphing linear equations in standard form .
• Read about horizontal and vertical lines .
• Read about parallel and perpendicular lines .
• For the graph from two points, can you make y = x or x = 4?
• For questions 2 – 5, draw the graphs of those equations on your graph paper. Then you can use the sliders to check your graphs.
• horizontal and vertical lines
• parallel and perpendicular lines
• Learn about graphing linear inequalities. Watch or read .
• Practice graphing linear inequalities .
• If you want more help with slope, choose the slope video from this page. ( Alternate link )
• algebraic reasoning game

Algebra – Solving Systems of Linear Equations in Two Variables

• *Print out  graph paper  if you need more.
• Read about solving systems of equations by graphing . Answer the problems. You can try the challenge problems if you want to.
• Go through the videos on the left if you want more worked examples.
• Practice solving systems of equations graphically .
• Read about solving systems of equations by substitution . Answer the problems.
• Practice solving systems of equations algebraically .
• Read about finding the number of solutions to systems of linear equations .
• Find the number of solutions to a system of equations graphically.
• Find the number of solutions to a system of equations algebraically.
• Review solving systems of equations graphically .
• Can you solve this system of equations ?
• Play Jeopardy : Systems of Linear Equations
• Atlantean Dodgeball

Algebra – Writing Linear Equations and Linear Systems in Two Variables

• Writing Equations in Slope-Intercept Form
• Writing Equations Using a Point and a Slope
• Read about writing linear equations given two points .
• Write a linear equation from two points.
• Watch the video on solving word problems in slope-intercept form.
• Practice writing and solving linear equations in slope-intercept form given a word problem.
• Read about writing and solving systems of equations from word problems.
• Go through the problems at the bottom of the page. Try to come up with a solution before you check.
• Play Jeopardy : Equations and Word Problems
• Number Rights

Algebra – Functions

• What is a function? Watch .
• Learn about function notation. Watch or read .
• Identify functions . Remember, functions have exactly one output for every input.
• Evaluate  some functions.
• Domain and Range of a Function
• Discrete and Continuous Domains
• Comparing Linear and Nonlinear Functions
• answers ( 2, 2.5, 3, 3.5, 4, 4.5 )
• Let’s try the other way around. Find a function rule for an input-output table.
• Complete an input-output table and graph it given a function rule.
• Now find a function rule for a graph.
• Read about arithmetic sequences .
• Find the missing numbers in an arithmetic sequence.
• Now find a rule for an arithmetic sequence.
• Learn about  direct variation . ( Answers )
• Try your hand at using  direct variation equations .
• Function Machine Choose mystery. Run numbers through and try to figure out the function. It will eventually let you click on the eye to see the answer. You can click on the Green 2 box and it will have two steps such as plus 2 times 3.
• Practice with equations .
• Balance some equations .

Financial Literacy

• Note: In the video around 12 minutes, the bottom total for year 3 should be $821.52
• Financial Literacy: Formula for Compound Interest
• Financial Literacy: Installment Loans
• Financial Literacy: Checking Accounts
• Financial Literacy: Credit Cards
• Financial Literacy: Payroll Deductions

Test Preparation

• If you don’t like math and it stresses you out,  read a few chapters  about that.
• If you and math are okay together,  read the chapter  on studying for a math test.
• Test Taking Tips      

End-of-Year Review

Lesson 151 (*)

• (*) Review factors and multiples. Choose a worksheet from topic 2 . You can check your answers when you are done.

Lesson 152 (*)

• (*) Review number properties. Choose a worksheet from topic 3 . You can check your answers when you are done.

Lesson 153 (*)

• (*) Review integers. Choose a worksheet from topic 4 . You can check your answers when you are done.

Lesson 154 (*)

• (*) Review fractions. Choose a worksheet from topic 5 . You can check your answers when you are done.

Lesson 155 (*)

• (*) Review operations with fractions. Choose a worksheet from topic 6 . You can check your answers when you are done.

Lesson 156 (*)

• (*) Review operations with mixed numbers. Choose a worksheet from topic  7. You can check your answers when you are done.

Lesson 157 (*)

• (*) Review decimals. Choose a worksheet from topic 8 . You can check your answers when you are done.

Lesson 158 (*)

• (*) Review operations with decimals. Choose a worksheet from topic 9 . You can check your answers when you are done. (Skip 9.1. Choose something else.)

Lesson 159 (*)

• (*) Review percents. Choose a worksheet from topic 10 . You can check your answers when you are done.

Lesson 160 (*)

• (*) Review perimeter and area. Choose a worksheet from topic 11 . You can check your answers when you are done.

Lesson 161 (*)

• (*) Review surface area of solids. Choose another worksheet from topic 12 . You can check your answers when you are done.

Lesson 162 (*)

• (*) Review volume of solids. Choose a worksheet from topic 13 . You can check your answers when you are done.

Lesson 163 (*)

• (*) Review angles, similarity, and symmetry. Choose a worksheet from topic 14 . You can check your answers when you are done.

Lesson 164 (*)

• (*) Review data analysis. Choose a worksheet from topic 15 . You can check your answers when you are done.

Lesson 165 (*)

• (*) Review measurement. Choose a worksheet from topic 16 . You can check your answers when you are done.

Lesson 166 (*)

• (*) Review expressions and equations. Choose a worksheet from topic 17 . You can check your answers when you are done.

Lesson 167 (*)

• (*) Review ratios, rates, and proportions. Choose a worksheet from topic 18 . You can check your answers when you are done.

Lesson 168 (*)

• (*) Review functions and graphs. Choose a worksheet from topic 19 . You can check your answers when you are done.

Lesson 169 (*)

• (*) Review counting. Choose another worksheet from topic 20 . You can check your answers when you are done.

Lesson 170 (*)

• (*) Review square roots. Choose another worksheet from topic 21 . You can check your answers when you are done.

Lesson 171 (*)

• (*) Review exponents. Choose another worksheet from topic 22 . You can check your answers when you are done.

Lesson 172 (*)

• (*) Review angles and lines. Choose another worksheet from topic 23 . You can check your answers when you are done.
• Translations
• Reflections
• Probability of Simple Events
• Independent and Dependent Events
• Probability of Dependent Events
• Experimental Probability
• Graph a Line from an Equation
• Is x,y a Solution to the System of Equations
• Solve a System of Equations Using Substitution

End-of-Year Projects

Lesson 176 (*)

• (*) Read the directions for this inequalities project ( ABCs123 ). You just have to fill in the chart. You don’t have to turn it into a project. You can use the grading rubric to give yourself a grade when you are finished. Instead of creativity, you can get points for finishing on time. It is due tomorrow.
• You will have today and tomorrow to create your project.
• Finish your inequalities chart from Lesson 176.

Lesson 178*

• Print out the map. (If you are grading this course, there is a rubric included.)
• Print out the part 1 activities and complete them. (You will be using parts 2 and 3 over the next couple of days.)

Lesson 179*

• You can read her comments on the rest of the project. Notice “flat rate.”
• *Print out part 2 activities and complete them!

Lesson 180*

• *Print out part 3  of the road trip activities and complete them!
• Add your projects to your portfolio.

Congratulations!

Note for Lee: Alternate links , alternate videos

Pre-AP Algebra 1

In Pre-AP Algebra 1, students develop a deep understanding of linear relationships emphasizing patterns of change, multiple representations of functions and equations, modeling real world scenarios with functions, and methods for finding and representing solutions of equations and inequalities. Taken together, these ideas provide powerful conceptual tools that students can use to make sense of their world through mathematics.

Areas of Focus

The Pre-AP mathematics areas of focus are aligned to the disciplinary practices that are fundamental to mathematics in high school, AP courses, and beyond. This gives students multiple opportunities to think and work like mathematicians as they develop and strengthen these disciplinary reasoning skills throughout their education:

• Connections among multiple representations: Students represent mathematical concepts in a variety of forms and move fluently among the forms.
• Greater authenticity of applications and modeling: Students create and use mathematical models to understand and explain authentic scenarios.
• Engagement in mathematical argumentation: Students use evidence to craft mathematical conjectures and prove or disprove them.

Unit Foundations

These big ideas are addressed across all units:

• Patterns of change
• Representations
• Modeling with functions

Course at a Glance

Pre-AP Algebra 1 has four main units.

• Unit 1: Linear Functions and Linear Equations (~9 weeks)
• Unit 2: Systems of Linear Equations and Inequalities (~5 weeks)
• Unit 3: Quadratic Functions (~9 weeks)
• Unit 4: Exponent Properties and Exponential Functions (~5 weeks)

Instructional Resources

These resources support teachers as they design instruction for each unit, but do not constitute a full day-by-day curriculum. They are intended to be used alongside local school or district materials to address objectives of the course framework:

• Course framework: An anchor for model lessons and assessments, the framework defines what students should know and be able to do by the end of the course. Teachers can use this as the primary document to align instruction and course content.
• Teacher resources: Available in print and online, these include a robust set of model lessons that demonstrate how to translate the course framework, shared principles, and areas of focus into daily instruction.

Additional Resources

All students need access to a graphing utility such as a graphing calculator, cellphone app, or laptop with graphing software such as Desmos, but students do not need to purchase any particular device or equipment.

Assessments for Learning

Each unit contains:

• In-lesson formatives: Short, open-ended problems that highlight the targeted content and skills for each lesson.
• 2 learning checkpoints: These multiple-choice and technology-enhanced questions modeled closely after the types of questions students encounter on AP Exams and the SAT. Learning checkpoints require students to examine graphs, data, and short texts—often in authentic contexts—to respond to questions that measure students' understanding of the unit’s concepts and skills.
• 1 performance task: A sustained problem-solving task that asks students to synthesize the unit’s skills and concepts while answering questions about a novel context.
• Practice performance tasks: 1 or 2 practice performance tasks with scoring guidelines and instructional suggestions.

A final exam allows students to demonstrate their success with the skills and content outlined in the course framework. This exam is optional. Pre-AP has not offered practice exams or published exam questions from prior years.

Pre-AP Algebra 1 Resource Set

Pre-ap algebra 1 course guide.

This is the core document for Pre-AP Algebra 1: It lays out the course framework, offers a program overview, describes the instructional approach, and provides assessment blueprints and examples.

Algebra 1 Teacher Resources Units 1 and 2

Algebra 1 teacher resources units 3 and 4, pre-ap algebra 1 lc sample items–unit 1, pre-ap algebra 1 instructional planning guide.

• Word Document

Pre-AP Algebra 1 Instructional Planning Guide Teacher Sample

Pre-ap algebra 1 state standards alignment summaries.

The Pre-AP course framework is back mapped from AP course expectations and aligns with many state standards. These documents summarize the alignments to the state standards.

Pre-AP Algebra 1 Alignment Summary: WA

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Back mapped from AP course expectations, the Pre-AP course framework aligns with many state standards. These documents detail alignment coverage of the Pre-AP course framework and state standards to support teachers in planning their course. When designing their courses, teachers should consider the Pre-AP framework as well as state and local requirements.

Pre-AP Algebra 1 Crosswalk: AR

• Spreadsheet

Pre-AP Algebra 1 Crosswalk: AZ

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