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Algebraic expressions Quiz for Grade 8

10 math questions on algebraic expressions with answers, written for Grade 8. Use it as it is, change any question, print it with an answer key, or give it online and let it grade itself.

1.
What is the coefficient in the term 7x^2? (Multiple choice)
  1. x^2
  2. 2
  3. 7
  4. 14
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7

The coefficient is the numerical factor multiplying the variable, which is 7.
2.
Simplify the expression: 3x + 4x - 2. (Multiple choice)
  1. 7x + 2
  2. 12x
  3. 7x - 2
  4. 3x - 4x - 2
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7x - 2

Combining like terms 3x and 4x gives 7x, then subtract 2.
3.
The expression 5(a + 3) is equivalent to 5a + 15. (True or false)
  1. True
  2. False
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True

Distributing 5 over a and 3 gives 5a + 15.
4.
Name the property used when rewriting 4(x + 5) as 4x + 20. (Identification)
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Distributive property

The distributive property allows multiplication over addition inside parentheses.
5.
In the expression 9y - 3y + 6, the like terms are _____ and 3y. (Fill in the blank)
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9y

9y and 3y are like terms because they have the same variable part.
6.
Which expression represents "the sum of twice a number and 5"? (Multiple choice)
  1. 2 + x + 5
  2. 2(x + 5)
  3. 2x + 5
  4. 5x + 2
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2x + 5

"Twice a number" is 2x and adding 5 gives 2x + 5.
7.
The expression x^2 + 2x + 1 is a quadratic expression. (True or false)
  1. True
  2. False
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True

An expression with the highest exponent 2 is quadratic.
8.
What is the value of the expression 4m - 3 when m = 3? (Multiple choice)
  1. 12
  2. 7
  3. 9
  4. 15
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9

Substitute m=3: 4*3 - 3 = 12 - 3 = 9.
9.
Match each term with its classification. (Matching type)
1. 7x^3
A. Term with negative coefficient
2. 12
B. Constant term
3. -5y
C. Term with coefficient 1
4. x
D. Term with variable and coefficient
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1 = Term with variable and coefficient; 2 = Constant term; 3 = Term with negative coefficient; 4 = Term with coefficient 1

Each term is classified by its coefficient and variable presence.
10.
List three like terms to 6ab. (Enumeration)
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4ab, -2ab, 10ab

Like terms have the same variables and exponents.