Grade 8 Math quiz

Grade 8 Math Quiz

Practice Grade 8 math questions about linear equations, exponents, square roots, functions, slope, geometry, the Pythagorean theorem, scientific notation, and data interpretation. Use hints when needed, choose an answer, and review the explanation after each question.

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1 Question 1 of 10

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Solve for x: 4x - 7 = 21

Hint: First add 7 to both sides, then divide by 4.

Explanation: Add 7 to both sides: 4x = 28. Divide by 4, so x = 7.

2 Question 2 of 10

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Simplify: 2³ × 2⁴

Hint: When multiplying powers with the same base, add the exponents.

Explanation: 2³ × 2⁴ = 2^(3+4) = 2⁷.

3 Question 3 of 10

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What is √144?

Hint: Find the number that multiplied by itself gives 144.

Explanation: 12 × 12 = 144, so √144 = 12.

4 Question 4 of 10

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Find the slope of a line that passes through (2, 3) and (6, 11).

Hint: Use slope = change in y divided by change in x.

Explanation: The change in y is 11 - 3 = 8. The change in x is 6 - 2 = 4. The slope is 8/4 = 2.

5 Question 5 of 10

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If y = 3x - 2, what is y when x = 5?

Hint: Substitute 5 for x in the function.

Explanation: y = 3x - 2. Substitute x = 5: y = 3(5) - 2 = 15 - 2 = 13.

6 Question 6 of 10

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A right triangle has legs 9 and 12. What is the hypotenuse?

Hint: Use the Pythagorean theorem: a² + b² = c².

Explanation: 9² + 12² = 81 + 144 = 225. Therefore c = √225 = 15.

7 Question 7 of 10

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Write 0.00056 in scientific notation.

Hint: Move the decimal until the number is between 1 and 10.

Explanation: 0.00056 becomes 5.6 when the decimal moves 4 places to the right. So the scientific notation is 5.6 × 10⁻⁴.

8 Question 8 of 10

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Solve the system: x + y = 12 and x - y = 4. What is x?

Hint: Add the two equations together to eliminate y.

Explanation: Add the equations: (x + y) + (x - y) = 12 + 4. This gives 2x = 16, so x = 8.

9 Question 9 of 10

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What is the volume of a cube with side length 5?

Hint: Volume of a cube = side³.

Explanation: The volume is 5³ = 5 × 5 × 5 = 125.

10 Question 10 of 10

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The data set is 6, 8, 10, 12, 14. What is the mean?

Hint: Add all values and divide by the number of values.

Explanation: 6 + 8 + 10 + 12 + 14 = 50. There are 5 values, so the mean is 50 ÷ 5 = 10.

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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.