7ACC Quiz Practice Properties of Addition and Subtraction

1. Which equation shows the Commutative Property of Addition?

A) 8 × 3 = 3 × 8
B) 8 + 0 = 8
C) 8 + 3 = 3 + 8
D) 3 + (5 + 2) = (3 + 5) + 2

2. If changing the order of numbers when multiplying 6 × 9 to get 9 × 6 does not change the product, which property is demonstrated?

A) Distributive Property
B) Associative Property of Multiplication
C) Identity Property of Multiplication
D) Commutative Property of Multiplication

3. What property does 12 × 1 = 12 illustrate?

A) Distributive Property
B) Associative Property of Multiplication
C) Commutative Property of Multiplication
D) Identity Property of Multiplication

4. By the Identity Property of Multiplication, what must you multiply by -25 to get a product of -25?

A) 0
B) 1
C) 25
D) -1

5. What property does 5 + (2 + 8) = (5 + 2) + 8 illustrate?

A) Identity Property of Addition
B) Commutative Property of Addition
C) Distributive Property
D) Associative Property of Addition

6. If (7 + 4) + y = 7 + (4 + 9) shows the Associative Property of Addition, what is the value of y?

A) 9
B) 20
C) 7
D) 4

7. Which equation shows the Identity Property of Multiplication?

A) 9 × 2 = 2 × 9
B) 9 + 0 = 9
C) 9 × 1 = 9
D) 9 × 0 = 0

8. If x + 0 = -14 by the Identity Property of Addition, what is the value of x?

A) 1
B) 14
C) 0
D) -14

9. Which equation shows the Associative Property of Addition?

A) x + 0 = x
B) x × (y × z) = (x × y) × z
C) x + y = y + x
D) (x + y) + z = x + (y + z)

10. If 5 × 8 × 3 = 3 × n × 8 by the Commutative Property of Multiplication, what is the value of n?

A) 5
B) 120
C) 8
D) 3

11. Which equation demonstrates the Associative Property of Addition?

A) (3 + 6) + 11 = 3 + (6 + 11)
B) 3 + 0 = 3
C) 3 + 6 + 11 = 11 + 6 + 3
D) 3 × (6 + 11) = 3 × 6 + 3 × 11

12. If adding 0 to -8 leaves the value unchanged as -8, which property is being applied?

A) Associative Property of Addition
B) Identity Property of Multiplication
C) Identity Property of Addition
D) Commutative Property of Addition

13. Which equation shows the Commutative Property of Multiplication?

A) 4 × 9 = 9 × 4
B) (4 × 9) × 2 = 4 × (9 × 2)
C) 4 × 1 = 4
D) 4 + 9 = 9 + 4

14. What property does (p)(q)(r) = (q)(r)(p) illustrate?

A) Commutative Property of Multiplication
B) Associative Property of Multiplication
C) Distributive Property
D) Identity Property of Multiplication

15. Which equation shows the Identity Property of Addition?

A) 15 × 1 = 15
B) 15 + 1 = 16
C) (10 + 5) + 0 = 10 + (5 + 0)
D) 0 + 15 = 15

16. Which expression results from using the Commutative Property of Addition to rewrite 7.5 + (-4.25) + 2.5?

A) 7.5 + 2.5 + (-4.25)
B) (7.5 + (-4.25)) + 2.5
C) 7.5 + (-4.25 + 2.5)
D) -4.25 + 7.5 + 0

17. In evaluating -4 + (-3/5) + (-2) + (-2/5), a student groups (-3/5) + (-2/5) together. Which property justifies regrouping these terms?

A) Commutative Property of Addition
B) Associative Property of Addition
C) Identity Property of Addition
D) Distributive Property

18. When simplifying (4/5) × 7 × (5/4), a student first rewrites it as (4/5) × (5/4) × 7. Which property allowed the student to change the order of the factors?

A) Distributive Property
B) Associative Property of Multiplication
C) Commutative Property of Multiplication
D) Multiplicative Inverse Property

19. A student wrote 12 - 5 + 3 = 12 - (5 + 3) = 12 - 8 = 4. Why is this application of grouping incorrect?

A) The student forgot the Identity Property of Addition
B) The Associative Property applies to addition, not subtraction
C) The Associative Property only works for negative numbers
D) The student should have used the Distributive Property first

20. To evaluate 5 × (1/5 + 2/5) using mental math, which property allows you to multiply 5 by each term inside the parentheses separately?

A) Distributive Property
B) Associative Property of Multiplication
C) Identity Property of Multiplication
D) Commutative Property of Addition

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