Algebra quiz

Equations and Inequalities Quiz

Practice solving linear equations, two-step equations, inequalities, equations with parentheses, and equations with variables on both sides. Use hints when needed, choose an answer, and review the explanation after each question.

Start quiz How this quiz works

1 Question 1 of 10

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Solve for x: x + 9 = 16

Hint: Subtract 9 from both sides.

Explanation: Subtract 9 from both sides: x = 16 - 9 = 7.

2 Question 2 of 10

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Solve for x: 4x = 28

Hint: Divide both sides by 4.

Explanation: Divide both sides by 4: x = 28 ÷ 4 = 7.

3 Question 3 of 10

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Solve for x: 3x - 5 = 16

Hint: First add 5 to both sides, then divide by 3.

Explanation: Add 5 to both sides: 3x = 21. Divide by 3, so x = 7.

4 Question 4 of 10

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Solve for x: 2(x + 4) = 18

Hint: Divide both sides by 2 first, then subtract 4.

Explanation: Divide by 2: x + 4 = 9. Subtract 4 from both sides: x = 5.

5 Question 5 of 10

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Solve for x: 5x + 3 = 2x + 18

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

Explanation: Subtract 2x from both sides: 3x + 3 = 18. Subtract 3: 3x = 15. Divide by 3, so x = 5.

6 Question 6 of 10

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Solve the inequality: x - 4 > 10

Hint: Add 4 to both sides.

Explanation: Add 4 to both sides: x > 14.

7 Question 7 of 10

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Solve the inequality: 2x ≤ 12

Hint: Divide both sides by 2. The inequality sign stays the same because 2 is positive.

Explanation: Divide both sides by 2: x ≤ 6.

8 Question 8 of 10

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Solve the inequality: -3x > 9

Hint: When dividing by a negative number, reverse the inequality sign.

Explanation: Divide both sides by -3 and reverse the sign: x < -3.

9 Question 9 of 10

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Solve for x: (x / 5) + 2 = 9

Hint: First subtract 2, then multiply by 5.

Explanation: Subtract 2 from both sides: x/5 = 7. Multiply by 5, so x = 35.

10 Question 10 of 10

Not answered

Solve for x: 7 - 2x = 15

Hint: Subtract 7 from both sides first. Be careful with the negative coefficient.

Explanation: Subtract 7 from both sides: -2x = 8. Divide by -2, so x = -4.

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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.