Solve linear equations with one variable
Get comfortable solving linear equations in one variable, from quick one-step problems to multi-step equations with parentheses and fractions. Choose your preferred question count and difficulty, then...
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About this quiz
What you’ll practice
This Algebra quiz focuses on solving linear equations with one variable, including distributing, combining like terms, and handling fractions or decimals.
Each question is multiple-choice with 4 options and no timer, so you can prioritize clean steps over speed.
Difficulty and quiz setup
Difficulty is mixed by design: easier items build confidence, while harder ones test multi-step reasoning and careful arithmetic. You can also choose your question count and difficulty before starting to tailor the session to quick practice or a longer review.
Common pitfalls to avoid
- Forgetting to distribute a negative sign or multiplier across parentheses
- Combining unlike terms (mixing constants and x-terms incorrectly)
- Losing track of signs when moving terms across the equals sign
- Making fraction mistakes when clearing denominators or simplifying
- Not checking the solution by substituting back into the original equation
Tips to improve quickly
Write one transformation per line and keep the equation balanced by doing the same operation on both sides. When an answer looks suspicious, plug it back in - verification catches most sign and arithmetic errors instantly.
Sample questions
What is the solution of the equation 2x + 3 = 11?
- A.4
- B.5
- C.6
- D.3
Solve for x: 5x - 10 = 0.
- A.2
- B.1
- C.5
- D.0
Find x if 3x + 4 = 16.
- A.4
- B.6
- C.3
- D.5
Quiz FAQ
How many questions are in this quiz?
This quiz has 103 questions covering one-variable linear equations at mixed difficulty.
What format are the questions in?
Each problem is multiple-choice with 4 options, and there is no timer.
Can I choose the number of questions and the difficulty?
Yes. Before you start, you can select your preferred question count and difficulty level.
What topics are included in solving linear equations?
Expect one-step to multi-step equations, distributing, combining like terms, and equations with fractions or decimals.
What’s the most common mistake when solving these equations?
Sign errors are the biggest issue, especially when distributing negatives or moving terms across the equals sign.
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