Download Properties Review

Assignment # _______ REVIEW: Properties of Numbers
Name _________________________
AF 1.3 Apply Commutative, Associative, Identity, and
Distributive Properties
Pre-Algebra, Per. ________
Date __________________________
Distributive Property: to multiply a sum or difference, make sure the outside number says, “Hi” to
everyone inside.
Example: 3(4x – 5)
= 3(4x) – 3(5) = 12x – 15
1. 3(x + 2) =
2. 6(x + 5) =
3. 4(x – 7) =
4. 7(y – 5) =
5. 2(5x + 3) =
6. (3y + 4)6 =
7. 6(x + y) =
8. 4(x – y) =
9. 12(4x + 2y) =
10. 9(2x – y) =
11. Which expression is equivalent to 4x – 4y?
A 4xy
B 4(x – y)
11. ______
C 4x – y
D x – 4y
12. Which of the following equations illustrates the inverse property of multiplication?
A 4x1=4
B 4x0=0
C 4 x 4 = 16
13. Which operation will change the value of any nonzero number?
A adding zero
B multiplying by zero
D 4

C multiplying by one
12. ______
1
1
4
13. ______
D dividing by one
14. Which property is used in the following equation? (2  3)  4 = 2  (3  4)
A associative property of addition
B associative property of multiplication
C distributive property
D commutative property of addition
15. Which property is used in the following equation? 3(x + 8) = 3x + 24
A distributive property
B commutative property of addition
C associative property of addition
D associative property of multiplication
16. Which equation shows the distributive property?
A (12 + 4) + 0 = 12 + 4
B 3(4 + 6) = 12 + 18
C 4+3+6=6+4+3
D (12 + 4) + 6 = 12 + (4 + 6)
17. Which property is used in the following equation? 4 + (8 + 5) = (4 + 8) + 5
A associative property of multiplication
B commutative property of addition
C distributive property
D associative property of addition
18. Which operation will NOT CHANGE the value of any nonzero number?
A multiplying by one
B adding one
C multiplying by zero
D dividing by zero
19. Which property is used in the following equation? 5(2 + 8) = 10 + 40
A associative property of addition
B commutative property of addition
C associative property of multiplication
D distributive property
20. Which property provides justification for the equation? (2 + 3) + 4 = 2 + (3 + 4)
A inverse property of addition
B associative property of addition
C commutative property of addition
D distributive property
14. ______
15. ______
16. ______
17. ______
18. ______
19. ______
20. ______