Algebra Readiness Review District Assessment 5 Name_________________________
(Use after Sections 1-5, 1-6, 2-2, & 5-6)
Date_______________Period _____
Students simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive,
associative, commutative) and justify the process used. (Grade 7 AF1.3)
For questions 1- 8, match the equation with the property it illustrates.
a. Identity Property of Addition
1. (3 + 4) + 5 = (4 + 3) + 5
2. (7h) × 1 = 7h
b. Identity Property of Multiplication
3. (3 × 4) × 5 = 3 × (4 × 5)
c. Inverse Property of Addition
4. 11 + (-11) = 0
d. Inverse Property of Multiplication
5. (3 × 4) × 5 = 5 × (3 × 4)
e. Associative Property of Addition
6. (3 + 4) + 5 = 3 + (4 + 5)
f. Associative Property of Multiplication
7. (x + y) + 0 = x + y
g. Commutative Property of Addition
8. 8 ×
1
=1
8
h. Commutative Property of Multiplication
For questions 9 – 16, complete each equation so that it illustrates the property.
9. Identity Property of Addition: 98 + __ = __
10. Identity Property of Multiplication: 18p × __ = ____
11. Inverse Property of Addition: 6 + __ = __
12. Inverse Property of Multiplication: 101 × __ = __
13. Associative Property of Addition: 7 + (9 + 122) = _____________
14. Associative Property of Multiplication: (1 × 2 × 3) × 4 = ________________
15. Commutative Property of Addition: (1 + 2) + (3 + 4) = ________________
16. Commutative Property of Multiplication: 56 × 18 = ___________
17. Which property does the equation
85x + 0 = 85 illustrate?
18. Which operation will change the value of any nonzero
number?
19. What would you add to 72 to show the
Inverse Property of Addition?
Associative Property of Addition
Identity Property of Addition
Commutative Property of Addition
Distributive Property
adding zero
multiplying by one
multiplying by zero
dividing by one
-72
1
B.
72
C.
D.
A.
B.
C.
D.
A.
B.
C.
D.
A.
20. Which property is used in the equation below?
10(a + 3) = 10a + 30
21. Which expression is equivalent to 2x – 2y?
22. Which of the following equations illustrates the
inverse property of multiplication?
23. Which equation shows the distributive property?
24. Which expression is the result of applying the
distributive property to 5 × (100 + 3)?
25. What would be the result if you applied the
associative property of addition to the expression
(22 + y) + 4y?
26. Which property is illustrated by the equation
5 + p × 3 = 5 + 3 × p?
A.
B.
C.
D.
A.
B.
C.
D.
A.
A.
B.
C.
D.
0
1
Associative Property of Addition
Commutative Property of Addition
Reflexive Property
Distributive Property
2xy
2(x – y)
2x – y
x – 2y
5 × 5 = 25
1
B. 5 ×
=1
5
C. 5 × 0 = 0
D. 5 × 1 = 5
A. (11 + 2) + 0 = 11 + 2
B. 11(2 + 5) = 22 + 55
C. (11 + 2) + 5 = 5 + (11 + 2)
D. (11 + 2) + 5 = 11 + (2 + 5)
A. 500 + 3
B. 5 × 103
C. 500 + 15
D. 5 × 115
A. 22y + 4y
B. (y + 22) + 4y
C. 22 + (y + 4y)
D. 4y + (22 + y)
Associative Property of Multiplication
Identity Property of Multiplication
Commutative Property of Multiplication
Distributive Property