8th Grade Mathematics Quiz


Welcome to the 8th Grade Mathematics Quiz! 🚀 This quiz is designed to challenge your understanding of key math topics such as linear equations, integers, fractions, percentages, geometry, and data analysis. Each question will help you think critically and apply what you’ve learned in class, with explanations provided to guide your learning. Stay focused, do your best, and enjoy sharpening your math skills! 🧠📊

  1. 1 Solve the equation: 2x + 5 = 17

    1. 5
    2. 6
    3. 7
    Correct!
    Wrong!

    Explanation

    Subtract 5 from both sides: 17 − 5 = 12.
    Then divide by 2: 12 ÷ 2 = 6.

  2. 2 What is the value of (–3)²?

    1. –9
    2. 9
    3. 6
    Correct!
    Wrong!

    Explanation:

    Squaring a negative number makes it positive: –3 × –3 = 9

  3. 3 Which number is irrational?

    1. 4
    2. 1/2
    3. √2
    Correct!
    Wrong!

    Explanation

    √2 cannot be written as a fraction or terminating decimal, so it is irrational.

  4. 4 Simplify: 3(4x − 2)

    1. 12x − 6
    2. 12x − 2
    3. 7x
    Correct!
    Wrong!

    Explanation

    Multiply 3 by each term:
    3 × 4x = 12x and 3 × (–2) = –6.

  5. 5 What is the slope of the line y = 5x − 3?

    1. –3
    2. 5
    3. 3
    Correct!
    Wrong!

    Explanation:

     In the form y = mx + b, the slope is m. Here, m = 5.

  6. 6 Find the volume of a cube with side length 4 cm.

    1. 16 cm³
    2. 32 cm³
    3. 64 cm³
    Correct!
    Wrong!

    Explanation:

     Volume of a cube = side³ = 4³ = 64 cm³.

  7. 7 What is 25% of 80?

    1. 10
    2. 15
    3. 20
    Correct!
    Wrong!

    Explanation:

     25% = 1/4 → 80 ÷ 4 = 20.

  8. 8 Which expression is equivalent to x² · x³?

    1. x⁵
    2. x⁶
    3. x⁹
    Correct!
    Wrong!

    Explanation:

    When multiplying powers with the same base, add the exponents: 2 + 3 = 5.

  9. 9 What is the Pythagorean Theorem?

    1. a² + b² = c
    2. a + b = c
    3. a² + b² = c²
    Correct!
    Wrong!

    Explanation:

    This formula is used to find the length of a side in a right triangle.

  10. 10 If the mean of 5 numbers is 12, what is their total?

    1. 12
    2. 24
    3. 60
    Correct!
    Wrong!

    Explanation:

     Mean × number of values = total → 12 × 5 = 60.

8th Grade Mathematics Quiz

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