7ACC Quiz Practice Properties of Addition and Subtraction

1. Which equation shows the Commutative Property of Addition?

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

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

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

A) Associative Property of Multiplication
B) Commutative Property of Multiplication
C) Distributive Property
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) -1
B) 1
C) 25
D) 0

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

A) Distributive Property
B) Associative Property of Addition
C) Identity Property of Addition
D) Commutative 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) 7
C) 4
D) 20

7. Which equation shows the Identity Property of Multiplication?

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

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

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

9. Which equation shows the Associative Property of Addition?

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

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

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

11. Which equation demonstrates the Associative Property of Addition?

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

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

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

13. Which equation shows the Commutative Property of Multiplication?

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

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

A) Identity Property of Multiplication
B) Associative Property of Multiplication
C) Distributive Property
D) Commutative 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 + (-4.25 + 2.5)
B) -4.25 + 7.5 + 0
C) (7.5 + (-4.25)) + 2.5
D) 7.5 + 2.5 + (-4.25)

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

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

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) Commutative Property of Multiplication
C) Multiplicative Inverse Property
D) Associative Property of Multiplication

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

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

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

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