8th Grade Math Algebra Quiz

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| By Jonascutioe347

Jonascutioe347

Community Contributor

Quizzes Created: 2 | Total Attempts: 7,614

Questions: 10 | Attempts: 6,915 | Updated: Nov 29, 2024

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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.

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19
1
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.

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11
0
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:

5
0
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.

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1
0
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.

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3
0
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.

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5
0
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.

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7
0
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.

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4
0
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:

3
0

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Current Version
Nov 29, 2024

Quiz Edited by
ProProfs Editorial Team
Aug 16, 2012

Quiz Created by
Jonascutioe347

8th Grade Math Algebra Quiz

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

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

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

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

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

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

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

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

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

If ab = 2a-3b+ab, then what is 35+5*3?