Algebra quiz

Algebra Quiz: Equations, Expressions, and Functions

Practice algebra questions about solving equations, simplifying expressions, evaluating formulas, inequalities, exponents, and basic systems. Use hints when needed, choose an answer, and review the explanation after each question.

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1 Question 1 of 10

Not answered

Solve for x: 2x + 5 = 17

Hint: Start by subtracting 5 from both sides. Then divide by 2.

Explanation: Subtract 5 from both sides: 2x = 12. Divide by 2, so x = 6.

2 Question 2 of 10

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Simplify: 3a + 5a - 2a

Hint: Combine like terms by adding and subtracting the coefficients.

Explanation: The terms all contain a. Add the coefficients: 3 + 5 - 2 = 6. So the expression simplifies to 6a.

3 Question 3 of 10

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Evaluate 4x - 3 when x = 5.

Hint: Substitute 5 for x before subtracting 3.

Explanation: Replace x with 5: 4x - 3 = 4(5) - 3 = 20 - 3 = 17.

4 Question 4 of 10

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Solve for x: x/3 + 4 = 10

Hint: First subtract 4 from both sides, then multiply by 3.

Explanation: Subtract 4 from both sides: x/3 = 6. Multiply both sides by 3, so x = 18.

5 Question 5 of 10

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Which expression is equivalent to 2(x + 4)?

Hint: Distribute 2 to both terms inside the parentheses.

Explanation: Use the distributive property: 2(x + 4) = 2x + 2·4 = 2x + 8.

6 Question 6 of 10

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Solve the inequality: x + 7 > 12

Hint: Subtract 7 from both sides.

Explanation: Subtract 7 from both sides: x > 12 - 7. Therefore, x > 5.

7 Question 7 of 10

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What is x² when x = -4?

Hint: Squaring a negative number gives a positive result.

Explanation: x² = (-4)² = (-4) × (-4) = 16.

8 Question 8 of 10

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Solve for x: 5x - 9 = 2x + 6

Hint: Move x-terms to one side and constants to the other side.

Explanation: Subtract 2x from both sides: 3x - 9 = 6. Add 9: 3x = 15. Divide by 3, so x = 5.

9 Question 9 of 10

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If y = x² + 2x and x = 3, what is y?

Hint: Substitute x = 3 into both parts of the expression.

Explanation: y = x² + 2x. Substitute x = 3: y = 3² + 2(3) = 9 + 6 = 15.

10 Question 10 of 10

Not answered

Solve the system: x + y = 10 and x - y = 2. What is x?

Hint: Add the two equations together to eliminate y.

Explanation: Add the equations: (x + y) + (x - y) = 10 + 2. This gives 2x = 12, so x = 6.

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About this math quiz

This carousel quiz template shows one question at a time. Students can move back and forward, request a hint, answer the question, and then review the explanation.

You can reuse this file for Algebra, Geometry, Arithmetic, Fractions, Statistics, and Hard Math pages by changing the PHP array with questions at the top of the file.