8th Grade Math Algebra Quiz

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Jonascutioe347
J
Jonascutioe347
Community Contributor
Quizzes Created: 2 | Total Attempts: 6,797
Questions: 10 | Attempts: 6,105

SettingsSettingsSettings
8th Grade Math Algebra Quiz - Quiz

Do you know algebra? How about an 8th-grade math algebra quiz right now? As you are now in the 8th grade, you get to say goodbye to basic math and say hello to algebra. It is understandable if you feel a little scared. The practice test below is designed to help you sharpen your skills in expanding equations. Give it a try. Wish you all the best to you with the test!


Questions and Answers
  • 1. 

    3X (-5X+x^2-3) =

    • A.

      3x^3 - 15x^2 - 9x

    • B.

      4x^3-15x^2-8x

    • C.

      3x^3-15^2-2x

    • D.

      4x^3-15x^2-9x

    Correct Answer
    A. 3x^3 - 15x^2 - 9x
    Explanation
    The given equation is a multiplication of 3x with the expression (-5x + x^2 - 3). To simplify the equation, we distribute the 3x to each term inside the parentheses. This results in 3x*(-5x) + 3x*(x^2) + 3x*(-3), which simplifies to -15x^2 + 3x^3 - 9x. Therefore, the correct answer is 3x^3 - 15x^2 - 9x.

    Rate this question:

  • 2. 

    (6x-5)(3x+1)

    • A.

      9x - 9x - 5

    • B.

      18x^2 - 6x - 7

    • C.

      18x^2 - 9x - 5

    • D.

      18x^2 - 8x - 7

    Correct Answer
    C. 18x^2 - 9x - 5
    Explanation
    The given expression is a product of two binomials: (6x-5) and (3x+1). To find the product, we can use the distributive property. Multiplying the first terms of each binomial gives us 6x * 3x = 18x^2. Multiplying the outer terms gives us 6x * 1 = 6x. Multiplying the inner terms gives us -5 * 3x = -15x. Finally, multiplying the last terms gives us -5 * 1 = -5. Combining like terms, we get 18x^2 - 9x - 5.

    Rate this question:

  • 3. 

    (8x+1) (8x-1) = 73x^2 + 1 Equation above is incorrect.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The equation (8x+1)(8x-1) = 73x^2 + 1 is incorrect because the product of (8x+1) and (8x-1) does not equal 73x^2 + 1. Therefore, the correct answer is True, indicating that the equation is indeed incorrect.

    Rate this question:

  • 4. 

    If p×q = p+q + pq, then what is the value of 8 × 2?

    • A.

      10

    • B.

      12

    • C.

      14

    • D.

      26

    Correct Answer
    D. 26
    Explanation
    The equation p×q = p+q + pq suggests that the multiplication of two numbers is equal to the sum of the two numbers plus their product. To find the value of 8 × 2, we substitute p = 8 and q = 2 into the equation. This gives us 8 × 2 = 8 + 2 + (8 × 2), which simplifies to 26.

    Rate this question:

  • 5. 

    Is it true? (3x-7)^2 = 18x^2 - 74x + 97

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The given statement is false because when we expand (3x-7)^2, we get 9x^2 - 42x + 49, which is not equal to 18x^2 - 74x + 97. Therefore, the correct answer is false.

    Rate this question:

  • 6. 

    (3m^2-7m+8)(m-2)

    • A.

      3m^3 - 13m^2 + 22m - 16

    • B.

      3m^3 - 13m^2 + 25m - 14

    • C.

      4m^3 - 13m^2 + 22m - 16

    • D.

      3m^3 - 13m + 22m - 16

    Correct Answer
    A. 3m^3 - 13m^2 + 22m - 16
    Explanation
    The given expression is a product of two binomials. To find the product, we can use the distributive property. We multiply each term of the first binomial, (3m^2-7m+8), by each term of the second binomial, (m-2). After simplifying, we get 3m^3 - 13m^2 + 22m - 16. Therefore, the correct answer is 3m^3 - 13m^2 + 22m - 16.

    Rate this question:

  • 7. 

    Is it true? (4x-7)^2 = 16x^2 - 56x + 49

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The given equation (4x-7)^2 = 16x^2 - 56x + 49 is true. This can be proven by expanding the square of the binomial (4x-7)^2, which results in 16x^2 - 56x + 49. Therefore, the equation is correct.

    Rate this question:

  • 8. 

    (6x+1) (6x-1)

    • A.

      36x^2 + 1

    • B.

      36x^2 - 1

    • C.

      12x^2 -+ 1

    • D.

      12x - 1

    Correct Answer
    B. 36x^2 - 1
    Explanation
    The given expression is a product of two binomials, (6x+1) and (6x-1). When we multiply these two binomials using the FOIL method, we get 36x^2 - 1. Therefore, the correct answer is 36x^2 - 1.

    Rate this question:

  • 9. 

    If a*b = 2a-3b+ab, then what is 3*5+5*3?

    • A.

      17

    • B.

      18

    • C.

      21

    • D.

      22

    Correct Answer
    D. 22
    Explanation
    To find the value of 3*5+5*3, we can substitute the values of a and b into the given equation. Let's assign a=3 and b=5 for 3*5. Plugging these values into the equation a*b = 2a-3b+ab, we get 3*5 = 2(3) - 3(5) + (3)(5). Simplifying this expression, we have 6 - 15 + 15 = 6. For 5*3, we have a=5 and b=3, 5*3 = 2*5 - 3*3 + 3*5 = 16. Adding both we get 22. 

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Feb 04, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 16, 2012
    Quiz Created by
    Jonascutioe347
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.