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Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

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Algebra Practice Problems – Master Your Skills with Exercises and Solutions!

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Understanding Algebra Fundamentals

Working with equations, practicing algebra with worksheets, mastering fractions and percentages, utilizing algebra in geometry, solving real-world problems.

To master algebra , practicing problems and going through their solutions is crucial. It’s a bit like learning to play an instrument – practice is key to improving.

For many students, the leap from arithmetic to algebra can be challenging. It requires a shift from working with concrete numbers to thinking abstractly about numbers and variables. But I’ve found that with a set repertoire of practice problems, from basic equations to more complex ones involving exponents and polynomials, it becomes much clearer.

What’s more, each problem has a set of steps to reach the solution, revealing patterns and strategies that can be applied to future challenges. Having a diverse array of practice problems is beneficial not only for students but also for educators and parents seeking to support their learner’s educational journey.

Hands-on experience with algebraic expressions and equations solidifies understanding and boosts confidence. So let’s get our hands on some algebra problems and start tackling them – who knows what new connections we’ll uncover in the intricacies of algebraic thinking.

Algebra is like a puzzle where I use mathematical symbols and letters (known as variables) to find unknown quantities. Variables represent values that can change; for example, in the equation $x + 2 = 5$, the variable $x$ takes the value $3$.

I need to understand that variables allow me to describe general math truths or perform operations without knowing the exact values.

Here’s what I often start with when exploring fundamental algebraic concepts :

Expressions and Equations : An expression is a combination of numbers and variables, like $3x + 4$. When an expression equals a number, like $3x + 4 = 19$, it becomes an equation. Equations set the stage for finding the value of the variable.

Operations with Variables : I treat variables the same way as numbers in operations. Addition, subtraction, multiplication, and division acts on variables just like on numbers, except that I don’t combine unlike terms (e.g., $x + y$ remains as it is unless I know the relationship between $x$ and $y$).

Below is a simple table detailing how basic arithmetic operations work with variables:

• Solving the Equations : To solve an equation, I perform operations that isolate the variable on one side. For example, if $x – 4 = 10$, I add $4$ to both sides to get $x = 14$.

Remembering mathematical order of operations is vital. In algebra, I follow this hierarchy: operations inside parentheses first, exponents second, then multiplication and division, and finally, addition and subtraction. This rule ensures I simplify expressions and solve equations correctly.

When I solve equations, my goal is to isolate the variable I’m interested in. This often involves moving terms from one side of the equation to the other.

For example, in a simple linear equation like ( ax + b = c ), I would solve for ( x ) by subtracting ( b ) from both sides and then dividing by ( a ).

When dealing with absolute values , like ( |x + a| = b ), I remember that the solution considers both the positive and negative counterparts because the absolute value represents the distance from zero without considering direction.

I always check my solutions by substituting them back into the original equation to ensure they satisfy the equation. This verification step is crucial, especially when initial equations involve absolute values or higher degree terms.

For practice problems, Khan Academy and Paul’s Online Math Notes are great resources that offer a variety of algebra problems, including linear equations and absolute value equations. I appreciate how Khan Academy’s platform provides instant feedback.

Working through these problems helps reinforce my understanding. Solving equations can be like a puzzle, and I find it satisfying when I find the correct solution. Each equation brings a new challenge, which keeps my algebra skills sharp and ready.

When I dive into algebra, I find that worksheets are a vital tool for mastering concepts. They offer a structured approach, enabling me to tackle one problem at a time.

While practice problems may vary in complexity, they often share a common focus on fundamental algebraic structures, such as linear equations and variables. 

For linear equations, I often start with simple formats like ( y = mx + b ) and gradually work up to more complex problems. This incremental approach helps me understand the relationship between variables and coefficients.

Sample Linear Equation Worksheet

Italicized tip: Always isolate the variable you’re solving for by performing inverse operations.

I make sure worksheets are varied, combining problems that involve solving for one variable with those requiring multiple steps. It’s the repetition and gradual escalation in difficulty that really solidify my understanding.

Variables Practice

• Identify variables and constants
• Evaluate expressions like ( 3$x^2$ – 2x + 7 ) for given values of ( x )
• Translate word problems into algebraic equations

Algebra worksheets offer distinct advantages, as they can be tailored to focus on just the areas I’m looking to improve, providing immediate feedback when answer keys are included. Through disciplined practice , I find myself not just solving problems but also gaining a deeper appreciation of algebra’s expressive power.

I find that a solid grasp of fractions and percentages is crucial in algebra. These concepts are not only foundational in mathematics but also widely applicable in real-world scenarios. Let’s take a closer look at how we can tackle problems involving these topics.

The Fraction Fundamentals For me, working with fractions always starts with understanding the roles of the numerator (top number) and denominator (bottom number). When performing addition or subtraction with fractions, I remember that the denominator must be the same.

For example, to add $$ \frac{3}{4} $$ and $$ \frac{5}{8} $$, I first find a common denominator. Multiplying both the numerator and denominator of $$ \frac{3}{4} $$ by 2 gives me $$ \frac{6}{8} $$. Now, I can easily add the two fractions:

$$ \frac{6}{8} + \frac{5}{8} = \frac{11}{8} $$.

Multiplication and Division Multiplication of fractions is more straightforward. I simply multiply the numerators together and the denominators together. For instance:

$$ \frac{3}{5} \times \frac{2}{3} = \frac{6}{15} $$.

But when it comes to division , I flip the second fraction (find the reciprocal) and then multiply.

$$ \frac{4}{7} \div \frac{2}{5} = \frac{4}{7} \times \frac{5}{2} = \frac{20}{14} $$.

Converting to Percentages When I need to express a fraction as a percent , I multiply the fraction by 100%. For example:

$$ \frac{3}{4} = \frac{3}{4} \times 100% = 75% $$.

To solve for a percentage of a number , I convert the percent to a decimal and then multiply. If I have to find 60% of 50, I do:

$$ 60% = 0.60; \quad 0.60 \times 50 = 30 $$.

By keeping these strategies in mind, I can confidently solve a variety of problems involving fractions and percentages. Experimenting with different problems is an enjoyable way to get better at these concepts!

In exploring the relationship between algebra and geometry, I find it essential to recognize how algebra serves as a robust tool for solving geometric problems. Take the circle, for example; its properties can be unraveled using algebraic methods.

The equation of a circle in a coordinate plane, which is ( $(x – h)^2$ + $(y – k)^2$ = $r^2$ ), allows me to calculate the radius, or find points on its circumference by substituting values for ( x ) and ( y ).

When it comes to finding areas or lengths, algebra is my go-to. For a rectangle or a square, if I know one side and the area, I can easily find the missing side by setting up an algebraic equation. Let’s say the area (( A )) of a rectangle is given and also one side (( l )). The other side (( w )) can be found using ( A = l \times w ).

In geometry, I also use systems of equations, which is an algebraic approach, to find the intersection between lines, a crucial aspect in defining points in polygons or linear graphs. Here’s a scenario: I have two lines with equations ( y = 2x + 3 ) and ( y = -x + 5 ). Solving this system will give me the exact point where both lines cross.

My journey through geometric challenges often involves these algebraic techniques, showing that algebra isn’t just numbers and letters, it’s a gateway to unlocking the mysteries laid out in shapes and spaces.

When I tackle real-world problems using algebra, I begin by defining the variables that represent the unknowns I’m trying to find. Let’s say I’m trying to figure out how many apples and oranges I can buy with a certain amount of money. I’d let ( x ) represent the number of apples and ( y ) the number of oranges.

I then translate the situation into algebraic equations, usually involving addition, subtraction, multiplication, or division. For instance, if apples cost $2 each and oranges $1.50, and I have $10, the equations would look like this:

[ 2x + 1.5y = 10 ]

Next, I would use function notation to express relationships. If I want to determine the relationship between the cost of fruit and the number I buy, I might write a function:

[ f(x) = 2x ] [ g(y) = 1.5y ]

These equations and functions help me visualize the problem and perform calculations to solve for ( x ) and ( y ).

• Define variables : Represent unknown quantities with variables.
• Translate into equations : Use the context to form equations.
• Function notation : Express relationships with functions.
• Solve the equations : Find the value of the variables.

Algebra acts as a bridge between basic arithmetic and the more complex real-world scenarios. It allows me to take practical questions and find concrete answers, such as how many items I can purchase or how long a trip might take given a constant speed.

As I practice, I become adept at forming and solving these algebraic equations, making me better equipped to handle similar problems in the future.

In my experience with algebra practice problems and solutions, I’ve observed that consistency is key. Complete a variety of problems from different domains regularly to sharpen skills. It’s essential to tackle problems that challenge various difficulty levels. I’ve appreciated websites like Paul’s Online Math Notes, which provide a range of problems and detailed solutions.

I often use web filters to ensure that my search results come from educational resources, especially those from trusted domains like kastatic.org and kasandbox.org , which are known for their reliable content. Interactive platforms, rather than static worksheets, offer immediate feedback and keep practice engaging.

Khan Academy, for example, offers an interactive approach that I find particularly effective. The immediate feedback helps me adjust my learning path in real-time.

When approaching algebraic word problems , I make sure to define my variables clearly, as this can often simplify complex equations. It’s also crucial to understand concepts like Venn diagrams, which visually represent logical relationships, as they frequently appear in algebra problems.

Consistency, a variety of sources, and clear problem-solving strategies have greatly contributed to my understanding of algebra . Remember, practice doesn’t just make perfect—it makes permanent. So find resources that work for you and stick to them!

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Answering Problem-Solving Interview Questions: Tips and Examples

Problem-solving skills are difficult to describe and quantify: they’re a combination of different hard and soft skills such as logical inference, technical knowledge, adaptability and innovation, leadership potential, decision-making, productivity, and collaboration.

All are crucial for developing expertise and delivering results at work — especially when the going gets tough.

And because problem-solving is so important, you’re almost guaranteed to get asked about it in a job interview. Read on, and make sure no problem-solving question catches you off guard.

In this article, you’ll learn:

• How to answer problem-solving job interview questions
• Types of problem-solving questions
• Why recruiters ask these questions and what your answers might reveal
• Sample answers for the main types of problem-solving questions

Want to get an offer after every interview? Our interview prep tool will guide you through all the questions you can expect, let you record and analyze your answers, and provide instant AI feedback. You’ll know exactly what to improve to turn your next interview into a job.

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How to Answer Problem-Solving Job Interview Questions

Here’s how to understand the intention behind problem-solving interview questions and create an informative answer that will highlight your expertise and potential.

Understand the problem-solving question and why recruiters ask it

Hiring managers and recruiters want to know how you identify roadblocks, analyze information, and overcome challenges. These challenges can vary from specific, technical issues to more general issues like improving company processes or handling interpersonal relationships.

To put these skills to the test, recruiters use “problem-solving” job interview questions, also known as analytical questions. Here are some common ones:

• Tell me about a situation where you had to solve a difficult problem.
• Give me a specific example of a time when you used good judgment and logic in solving a problem.
• Describe a time when you didn’t know how to solve a problem. What did you do?
• Describe how you approach a complex or difficult problem.

Here’s what these questions help recruiters discover:

Your adaptability and innovation

Are you an out-of-the-box thinker who’s open to new ideas and who can handle uncharted waters easily?

Efficiency and productivity

Are your problem-solving skills contributing to the team’s performance, removing bottlenecks, smoothing out processes, and keeping projects on track?

Collaboration and communication

Are you successfully collaborating with others to find solutions? Are you handling people-related problems effectively?

Decision-making

Can you efficiently evaluate different options and reach a decision independently? Can you make sound decisions to minimize risks and maximize benefits and opportunities?

Leadership potential

Are your problem-solving skills so good that they open up new opportunities for you to move in the leadership direction ?

Problem-solving interview questions are not tied to a specific role and industry. Mastering your problem-solving skills will help you stand out from the competition and be more successful in your role, whatever it may be.

And if you need help with answering other common interview questions, sign up for our free course !

Reflect on your thought process

Be mindful of your thought processes when you face a difficult problem.

Is your initial reaction to panic or are you calm and enthusiastic to tackle it? Is the problem stopping you from focusing on everything else you’re working on? Do you look at the problem as a whole or do you break it down?

Understanding how you think and approach the problem will help you know yourself and improve your problem-solving skills, but it’ll also make it easier to answer these tricky questions during an interview.

Be specific

Tailor your answers to problem-solving interview questions so that you cover specific details, actions, and skills relevant to the position. If possible, list the results and share lessons learned from an experience you’re describing.

We’re not saying you should lie and make up a story about your problem-solving skills for each position you apply for; remember that this is a broad set of skills and you surely have something relevant from your past experience that you can bring up.

💡 For example, if you’re a Customer Service Representative applying for the same role in another company, you can speak about how you solved a customer’s problem or how you helped the team switch to a new CRM tool and transfer all the data.

💡 If you’re applying for a leadership role in the customer service field, you can speak about how you handled an interpersonal problem within a team or how you spotted bottlenecks and modified processes to make the team more efficient.

💡 If you’re moving to a Sales position, you can highlight your selling experience and talk about a time when you had to solve a customer’s problem and you managed to upsell them in the process.

Follow up with clear outcomes

Prove you have outstanding problem-solving skills by listing clear outcomes for every problem you solved. They can be quantitative or qualitative.

💡 Fixed a process? Say that it improved team productivity by X%.

💡 Handled a difficult client? If they became a VIP customer later on, mention it.

💡 Resolved a conflict? Describe how the experience helped you strengthen the bonds in a team.

💡 Solved a complex technical problem? Say that you got a bonus for it, or that you expanded and improved the existing documentation to help coworkers in the future.

Use the STAR method

Whenever possible, use the STAR (situation-task-action-result) method in your answer:

• (S) ituation: Describe the situation and provide context.
• (T) ask: What tasks you planned on doing to tackle the issue, your contribution.
• (A) ction you took (step-by-step).
• (R) esult of your efforts.

It’ll help you create a well-rounded answer that’s informative and engaging. Plus, using this method to prepare answers in advance will help you memorize the story quickly and easily.

✅ Bear in mind that not every problem-solving interview question can be answered with a STAR method. Some questions will be very specific and will ask for quick and short information about a certain tool or similar. Other questions, the ones beginning with “Give me an example when…” or “Tell me about a time when…” will be the perfect opportunity to use the STAR method.

Also, remember that there’s never a single correct answer to a problem-solving question, just like there usually are multiple solutions to a given problem — a study on the hospitality industry revealed that the most successful problem-solving strategies applied in the workplace were always very specific to given circumstances.

Questions about your problem-solving skills are just one group of the standard interview questions, you can be almost sure you will get asked. Prepare for other interview “classics” with our dedicated guides:

• Tell Me About Yourself: Sample Answers
• Where Do You See Yourself in 5 Years?
• Why Did You Leave Your Last Job?
• What Are Your Strenghts?
• What Is Your Greatest Weakness?
• How Do You Handle Conflict?
• Why Should We Hire You?
• Why Do You Want to Work Here?

If prepping for a video interview, learn what to expect from this guide: Video Interviewing Tips & Tricks

And if you’re interested in interviewing for specific positions, see:

• Sales Interview Questions and Answers
• Customer Service Interview Questions and Answers
• Customer Service Manager Interview Questions and Answers
• Behavioral Interview Questions for Customer Service

Types of Problem-Solving Job Interview Questions

1. general problem-solving questions.

These questions aim to discover your general approach to problems and challenges.

How do you approach complex problems?

Interviewers want to know how you approach the process of solving complex problems. Do you jump straight into it or do you take a step back, break the problem down into manageable components, analyze the info you have, and then dive in?

Can you provide an example of a challenging issue you’ve encountered and how you resolved it?

Can you assess a situation and find the most appropriate solution? Can you handle the pressure? Do you take the lead during difficult times? Are you able to take responsibility for the outcomes?

This question is more specific than the previous one, so make sure you think about a situation in advance and prepare your answer using the STAR method.

Big Interview’s Answer Builder can help you shape your answer. You’ll be able to list and filter the points you’d like to mention, add details and rearrange the order to create a compelling story.

Plus, you’ll get bite-sized tips on how to answer the most common interview questions while you’re in the Builder.

How do you prioritize multiple tasks when faced with tight deadlines?

Recruiters want to know how you set criteria based on which you’ll set priorities, how and if you juggle between multiple tasks, and how you communicate and collaborate with other people involved.

General problem-solving sample answer

“Tell me about a time when you faced a difficult problem at work. How did you solve it?”

Behavioral questions about problem-solving

Behavioral questions ask for specific situations from your past in which you displayed a certain behavior. Based on it, recruiters hope to predict how you’ll perform in the future.

Tell me about a time when your team faced a problem and you helped to find a solution

This one’s asked to assess your teamwork and cooperation skills in tough situations.

Interestingly, a 2015 study on problem-solving in the workplace showed that when it comes to expertise-related problems, employees rarely relied on trial-and-error or information retrieval as modes of problem-solving.

Instead, they mostly relied on help from others, that is, their coworkers who they believed were experts on the subject matter.

This puts emphasis on the importance of teamwork and collaboration in problem-solving. And you certainly noticed how easier it gets to solve a problem (or brainstorm a new idea) as a group, when different individuals bring fresh, unique ideas to the table.

So, recruiters want to know if you’d be cooperative and open to a teamwork experience, and these factors might hint at how you’ll fit in with the team.

Describe a situation in which you received criticism for your solution to a problem. How did you handle that?

This one checks how you handle feedback and criticism — it’s challenging, but it’s essential for growth.

In your answer, make sure you depict a situation in which you demonstrated that growth mindset and the ability to see that taking criticism is not a sign of weakness (or a personal attack on you) but a unique opportunity to learn something new.

Can you provide an example of when you had to collaborate with a team to solve a work-related problem?

Similarly to the first question in this group, this one aims to see how you perform in a team and solve problems collectively.

According to a study , in a team, task completion can be independent , when each team member completes their own activities, sequential , when activities go from one team member to another, reciprocal , when activities are done back-and-forth between team members, or intensive , when all team members work on activities and problem-solving simultaneously.

Recruiters want to get to know more about your ideal teamwork process model and how you connect with others to solve problems.

Your answer will tell them if you’re a good team problem-solver, team player, and if you’re able to give and share credit, as well as take responsibility if something goes wrong.

Behavioral problem-solving sample answer

“Can you describe a situation where you had to use your problem-solving skills to make a decision?”

Situational problem-solving questions

Situational problem-solving questions put you in a hypothetical situation, present a problem, and ask for your opinion/solution.

Even if you haven’t encountered a similar situation in the past, it will help you to draw parallels from your experience to create answers to these questions.

How would you respond if a high-priority project was suddenly delayed, jeopardizing the deadline?

Your answer to this question will tell recruiters about your flexibility, time and task organization, prioritization, as well as how you handle pressure.

An ideal employee will be able to think quickly and adapt to unforeseen circumstances, all the while remaining calm and composed. You’ll want to aim at displaying these qualities in your answer.

Imagine a scenario where your manager was unavailable, but a client had an urgent issue – what would you do?

Taking the lead and taking calculated risks shows that a person has outstanding problem-solving skills and is not afraid to take initiative, which shows leadership potential.

Your answer to this question needs to demonstrate your ability to quickly analyze information, weigh pros and cons of a situation, and make decisions on the spot. This is especially important if you’re applying for leadership positions, like a team leader or a project manager.

If you encountered a high-stress situation that required you to stay calm and focused, how would you handle it?

Recruiters and hiring managers want to assess your ability to handle stress, make rational decisions, and maintain a focused approach in tricky, high-pressure situations.

Make sure to provide them with relevant examples from your past that will paint a picture of your skills and abilities. This is especially relevant for high-pressure positions such as police officers, lawyers, financial analysts, and similar.

Situational problem-solving sample answer

“Imagine you’re faced with a tight deadline, but you’ve encountered a significant roadblock. How would you handle this situation?”

Technical questions about problem-solving

Technical problem-solving questions are based on the technical knowledge that underlies each role. They aim to check your expertise or the means by which you connect the dots or obtain information if you don’t possess it.

Will you sort through the documentation to find a solution? Or is your first reaction to recall a past experience? Perhaps you prefer connecting with an expert or a coworker with more experience than you. Or you’re the type of person to synthesize your existing knowledge and try to find a solution through trial and error. Maybe you’ll turn to a book or a course? Whatever it is, recruiters would like to know.

There are many ways to solve these problems and your preferred strategies will give recruiters insight into how you think and act.

Examples of technical questions about problem-solving are:

• How would you assess and resolve a performance issue in a web application?
• Describe your approach to troubleshooting a networking issue that spans multiple devices.
• How would you approach debugging a piece of software with limited documentation?
• How would you deal with an angry VIP customer if your boss was away?
• What would you do if you noticed a decline in the ROI of your team?

💡 Bear in mind that, with the rapid development of AI, the majority of technical tasks might be overtaken by robots in the future. That’s why it’s important that you work on your non-technical skills, too. Employers are already admitting that problem-solving skills are the second most important skill they’re looking for. For this reason, researchers are working hard to find and develop frameworks for helping people improve their problem-solving capabilities — you can read more about it in this paper on problem-solving skills among graduate engineers .

Technical problem-solving sample answer

“How would you troubleshoot an error in a software product that has been released to customers?”

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Our tool helped AJ land his first job in tech and get 7 job offers in the process . “I think Big Interview was super helpful in that aspect of having canned answers for every possible scenario and being in the moment of answering those questions.”, said AJ.

Problem-Solving Interview Questions: Popular Opinions vs. Expert Advice

Now that we covered different types of problem-solving questions and how to answer them, we decided to dive into popular forums and see what job-seekers have to say on this topic. We picked pieces of advice that resonated with the community and confronted them with expert-backed best practices. Let’s see where we stand.

IndianaJones Jr on Reddit said : “If I was an interviewer asking this question, I would expect a personalized answer relevant to yourself, not to specific projects. At least that’s my interpretation.

“What are your experiences in problem-solving?” 

Sample answer: Generally, when I’m working on a project I find it’s easier to start at the end and work backwards. I use that to get a broad strokes idea of where my work needs to take me on any particular project and then I head in that direction. I find that when I get to specific problems I can get too stuck on using tried and true methods so I try to encourage myself to use out-of-the-box solutions. For example [your example here]…”

Career expert comments:

The “bones” of this sample answer are solid. It puts emphasis on breaking down the candidate’s thought process and displays patterns through which the candidate solves problems and learns along the way. However, the most important part of the answer — the actual example of a candidate’s problem-solving skills put to practice — remains a placeholder. Remember, the more specific you get in your answer, the better the impression you make on the interviewer. So here, I recommend paying equal attention to a specific situation in which you solved a problem and using the STAR method to tell that story.

Ambitious_Tell_4852 , when discussing the question “Give an example of a challenge you faced and how you overcame it,” said: 

“Clearly, that is the standard trick question designed for a prospective new hire to tell a prospective employer about his/her professional weaknesses. Oldest “negative Nelli’’ question imaginable during the interview process. Always keep your answer thorough and positive albeit sickeningly sugar-coated! 😁”

This is, straight-out, a bad piece of advice. If an interviewer wants to hear about your weaknesses, they will ask “What is your greatest weakness?” 

A question about overcoming a challenge isn’t a trick question at all. I’d argue it’s actually an opportunity to share some of your proudest wins. But when it comes to answering this question, it’s true that your answers do need to be thorough and positive. This doesn’t mean you need to sugar-coat anything, though. Interviewers don’t want to hear you downplaying your challenges. On the contrary, they want to hear you speak about them honestly and explain what you learned from them. And being able to do so puts a healthy, positive spin on the situation. To put it shortly: provide a real example from your past, answer this question honestly, and emphasize the results and lessons learned. 

Here’s an opinion from a hiring manager, Hugh on Quora, about how to answer a question about a time you needed to solve a problem:

“It really doesn’t matter what the problem you describe is or how you solved it. What I am looking/listening for is 1) the size of the problem (the bigger, the better, a broken shoelace before going out on a date is not an impressive problem) and 2) a step-by-step process to a satisfactory solution (if suddenly all variables fell into place does not show me that you solved the problem — you were just there when it solved itself).

I am also looking/listening for an example of how you solve a problem after you are hired. I may have to explain it to my superiors, and I would like to know that I have a complete and accurate story to tell.”

Career expert comments:  

A good piece of advice from someone who has first-hand hiring experience. When talking about problem-solving, a detailed description of your process is key. The only thing I wouldn’t agree with is having to choose a “big” problem. If you do have experience solving a big problem, that’s great. But sometimes you won’t have a major problem to talk about, and it largely depends on your level of experience and your position. So pick a relevant difficulty, even if it’s not that big, in which you displayed skills relevant to the role you’re applying for.

• Problem-solving skills encompass your logical inference, technical knowledge, adaptability and innovation, leadership potential, decision-making, productivity, and collaboration.
• Because these skills are important in the workplace, there’s a variety of problem-solving interview questions recruiters will ask to assess you.
• Some of them include behavioral, situational, or technical problem-solving questions.
• In order to answer these questions, you need to be aware of your thought processes when faced with a problem.
• In your answer, be as specific as you can and use the STAR format whenever possible.
• Make sure to highlight outcomes, results, or lessons learned.
• As always, the best strategy is to anticipate these questions and prepare rough answers in advance. Including practicing your answer so you’re confident for your interview.

____________________

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• Tired of interviewing and not landing the job? Discover actionable lessons and interview practice here (Rated with 4.9/5 by 1,000,000 users).
• Learn how to talk about your proudest accomplishments without bragging or underselling yourself.
• Learn how to answer tricky questions about conflict resolution in the workplace.

How can I improve my problem-solving skills?

Stay in the loop with new technologies and trends. Accept challenges and problems as a way to grow, don’t panic over them. Acquire a systematic approach to analyzing problems, break them down into smaller components which will help you discover root causes and devise a solution plan. Practice logical thinking, evaluating evidence, and staying objective. And give yourself time. Perhaps not surprisingly, studies suggest that the more business experience you have, the better you become at problem-solving.

Are there specific resources available to practice problem-solving interview questions?

There’s a variety of resources available to you, such as courses and Youtube tutorials, Facebook/LinkedIn groups, forums such as Reddit and Quora, books, or online platforms like Big Interview. If you’re trying to develop technical problem-solving skills, you might benefit from relevant platforms’ knowledge bases or YT channels; but if you’re looking specifically for how to answer interview questions, platforms like Big Interview are the way to go.

How should I handle a question about a problem-solving scenario I have not encountered before?

Don’t be afraid to ask additional questions for clarification. If you’ve never dealt with this problem before, be honest about it but answer how you would solve the problem if you were faced with it today. Break the problem down into manageable steps, try to recall a similar situation from your own experience that could help you draw parallels, and propose several different solutions.

Can I talk about my problem-solving experiences derived from non-professional settings such as student projects?

Yes, especially if you’re a recent graduate or a candidate with limited experience. You can use experiences and examples from student projects, extracurricular activities, and you can even use examples from your personal life, as long as you present them in a professional manner and connect them to the position you’re applying for. Remember to highlight the results, as well as the skills that helped you solve the problem and that are relevant to the position you’re applying for.

Are there any common mistakes to avoid when answering problem-solving questions during an interview?

The most common mistake is not preparing in advance which causes rambling. You need to make sure that your answer is informative and well-structured, and that you’re not only presenting a solution but also laying down the steps to display your logical reasoning. Make sure not to forget to give credit to teammates if they contributed to solving the problem you chose to talk about. Finally, for a coherent and informative presentation, make sure you use the STAR method.

What can I do if I don’t know the answer to a technical problem-solving question in an interview?

Handle it professionally. You can always try to reach a conclusion by breaking down the problem and thinking out loud to show your thinking mechanism. Draw parallels between the problem at hand and another similar problem you encountered before. Lay down possible solutions, even if you’re not sure they’ll work, and be transparent — feel free to tell the recruiter you’re not sure how to answer it, but make sure you emphasize that you’re open to learning.

Can I ask for help or guidance from the interviewer during a problem-solving question?

Avoid asking for help directly, but ask for clarification in case something is unclear or if you need additional information. Sometimes, the interviewer will take the initiative and provide you with hints to encourage you and see how you think.

How can I demonstrate creativity and resourcefulness when answering problem-solving questions?

It’s all about storytelling! Preparing in advance will provide some space for displaying your creativity. You can do it by making fun analogies or drawing parallels from well-known situations; or making pop-culture references.

Maja Stojanovic

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Ready Mathematics: Practice and Problem Solving Grade 7

Curriculum Associates

ISBN: 9781495704840

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