WorksheetsProperties Homework
Total questions: 46
Worksheet time: 46mins
Name the property shown by each statement.
4 + (9 + 6) = (4 + 9) + 6
Commutative Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
Associative Property of Multiplication
Associative Property of Addition
Name the property shown by each statement.
x + 12 = 12 + x
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition
Identity Property of Addition
Commutative Property of Multiplication
Name the property shown by each statement.
(3 + y) + 0 = 3 + y
Associative Property of Addition
Identity Property of Addition
Associative Property of Multiplication
Commutative Property of Multiplication
Commutative Property of Addition
Name the property shown by each statement.
(x + y) + z = x + (y + z)
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
Commutative Property of Multiplication
Name the property shown by each statement.
(15 + x) + 2 = 2 + (15 + x)
Associative Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
Identity Property of Addition
Commutative Property of Multiplication
Name the property shown by each statement.
x · 1 = x
Identity Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Name the property shown by each statement.
14xy = 14yx
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Multiplication
Identity Property of Addition
Commutative Property of Addition
Name the property shown by each statement.
(3 + 5) + c = 3 + (5 + c)
Commutative Property of Addition
Commutative Property of Multiplication
Identity Property of Addition
Associative Property of Multiplication
Associative Property of Addition
Name the property shown by each statement. 9. (2 · 5) · 0 = 0
Associative Property of Addition
Commutative Property of Multiplication
Commutative Property of Addition
Multiplicative Property of Zero
Associative Property of Multiplication
Name the property shown by each statement.
6 · (4 · 3) = (6 · 4) · 3
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
Identity Property of Addition
Name the property shown by each statement.
(3 · 9) · 1 = 3 · 9
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Identity Property of Multiplication
Name the property shown by each statement.
ab + 0 = ab
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Identity Property of Addition
Name the property shown by each statement.
a · b = b · a
Associative Property of Addition
Commutative Property of Multiplication
Associative Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
Name the property shown by each statement.
(x · y) · z = x · (y · z)
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Identity Property of Addition
Commutative Property of Addition
Name the property shown by each statement.
(7 · 3) · 5 = 7 · (3 · 5)
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
Associative Property of Multiplication
Identity Property of Addition
Name the property shown by each statement.
(2 + x) · 0 = 0
Multiplicative Property of Zero
Associative Property of Addition
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
Name the property shown by each statement.
(a + b) · 1 = a + b
Commutative Property of Addition
Identity Property of Addition
Associative Property of Addition
Identity Property of Multiplication
Associative Property of Multiplication
Which properties were used to simplify this expression mentally?
-6 + (6 + 27)
(-6 + 6) +27
0 + 27
27
Commutative Property of Addition and Identity Property of Addition
Commutative Property of Multiplication and Identity Property of Addition
Associative Property of Addition and Identity Property of Addition
Associative Property of Multiplication and Identity Property of Addition
Fill in the blank with the number that makes the statement true. Write the name of the property shown.
-5 · 7 = _ · -5
7; Commutative Property of Multiplication
-5; Associative Property of Multiplication
-7; Distributive Property
5; Identity Property of Multiplication
Fill in the blank with the number that makes the statement true. Write the name of the property shown.
(-3 + 9) + _ = -3 + (9 + 6)
6; Associative Property of Addition
6; Commutative Property of Addition
6; Identity Property of Addition
Fill in the blank with the number that makes the statement true. Write the name of the property shown.
(-17 · 1) · 32 = _ · 32
-17; Identity Property of Multiplication
-1; Commutative Property of Multiplication
1; Associative Property of Multiplication
-17; Distributive Property
Fill in the blank with the number that makes the statement true. Write the name of the property shown.
83 + _ = 83
0; Identity Property of Addition
1; Commutative Property of Addition
-1; Inverse Property of Addition
2; Associative Property of Addition
Simplify each expression mentally.
(56 · 44) · 0
0
44
56
2464
Simplify each expression mentally.
(-85 · 2) · 50
-8,500
8,500
-850
-7,500
Simplify each expression mentally.
(758 + 693) - 758
693
151
1351
65
Simplify each expression mentally.
(-112 + 74) + 112 = _
74
186
-38
0
Althea buys a carton of milk each day at school. The milk costs $0.90. How much does she spend on milk during a typical 5-day week? Which answer uses the Distributive Property.
to help solve this problem mentally.
5(1.00 - 0.10) = 5.00 - 0.50
$4.50
5(0.90) = (0.90)5
$4.50
If Tony wants to buy two of each item, how much will it cost? Which expression answers the question by using the Distributive Property?
2(1.00 + 2.50 + 3.00) = (1.00 + 2.50 + 3.00)2
$13
2(1.00)+2(2.50)+2(3.00) = 2(1.00+2.50+3.00)
$13
HOCKEY The table shows the price of a ticket and food items at a hockey game. Suppose Coleman and two of his friends go to the game. Which of the following expressions could be used to find the total cost for them to go to the game and buy one of each item?
3(7) + 3(3.50) + 3(2.25) + 3(1.50) = 3(14.25)
$42.75
3(14.25) = (14.25)3
$42.75
Mr. Kaplan is ordering 30 flash drives for the students in his class. If each one costs $11.95, how much will he pay? Justify your answer by using the Distributive Property.
Mr. Kaplan will pay $358.50 for the flash drives.
Mr. Kaplan will pay $329.50 for the flash drives.
Mr. Kaplan will pay $359.50 for the flash drives.
Mr. Kaplan will pay $335.50 for the flash drives.
Use the Distributive Property to evaluate each expression.
3(2 + 8)
16
24
30
28
Use the Distributive Property to evaluate each expression.
-5(4 - 2)
-10
-20
10
-2
Use the Distributive Property to evaluate each expression.
(12 + 13)(-2)
50
-25
-50
25
Use the Distributive Property to rewrite each expression.
6(t + 2)
6t + 12
6t + 2
6t + 8
6t + 2t
Use the Distributive Property to rewrite each expression.
-5(4 + x)
-20 - 5x
-20 + 5x
-5x + 4
-5x - 4
Use the Distributive Property to rewrite each expression.
(5 + v)(-3)
-15 - 3v
-15 + 3v
15 - 3v
-15v - 3
Use the Distributive Property to rewrite each expression.
(w - 2)4
4w - 8
w - 8
4w - 2
w4 - 8
Use the Distributive Property to rewrite each expression.
-7(8n - m)
-56n + 7m
-56n - 7m
-56nm + 7
-56n + m
Use the Distributive Property to rewrite each expression.
(6 + d)(-6)
-36 - 6d
-36 + 6d
36 - 6d
-36d - 6
Use the Distributive Property to rewrite each expression.
-2(3f - 5g)
-6f + 10g
-6f - 10g
-5f + 6g
-2f - 5g
Mr. and Mrs. Caputo are taking their family into the city on the train. The cost per person is $5.80. If there are 4 members in their family, how much does the train trip cost? Justify your answer by using the Distributive Property.
$23.20
$22.40
$24.80
$21.60
SHOPPING Sera went to the mall and made four purchases. She spent $2.85, $5.11, $7.89, and $4.15. Use mental math to determine how much money Sera spent at the mall.
$20.00
$19.00
$18.00
$15.00
VIDEO GAME Porsche bought a new video game. The first time she played, it took her 24 minutes to reach Level 2, the second time it took 18 minutes, the third time it took 16 minutes, and the fourth time it took 12 minutes. Use mental math to determine how many minutes she spent at Level 1 while playing these four games. How many minutes did Porsche spend at Level 1 in total while playing these four games?
70 minutes
60 minutes
50 minutes
40 minutes
SNOW The first four snowfalls of the year in Shawnee’s hometown measured 1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches. Use mental math to find the total amount of snow that fell.
6.0 inches
7.0 inches
5.0 inches
4.8 inches
State whether the conjecture is true or false.
Division of whole numbers is always commutative.
True
False
Simplify each expression. Justify each step.
8(2q)
8q + 2q = 10q
using Distributive Property
(8⋅2)q = 16q
using Associative Property
