AnswersCommon Core Math 7 A-ICUsing Properties of Operations

Using Properties of Operations Answers

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Answers:
Selection 1:identity property
Selection 2:commutative property
Selection 3:associative property
2
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(3)[5(7)] = (3)[7(5)]associative property✔ commutative propertydistributive propertyidentity property

A
associative property
B
✔ commutative property
C
distributive property
D
identity property
3

5 + 0 = 5associative propertycommutative propertydistributive property✔ identity property

A
associative property
B
commutative property
C
distributive property
D
✔ identity property
4

3 + (5 + 7) = (3 + 5) + 7✔ associative propertycommutative propertydistributive propertyidentity property

Answers:
Selection 1:associative property
Selection 2:commutative property
Selection 3:identity property
5

Complete this expression using the distributive property: 5(4 + 8) =

A
(5 + 4)(5 + 8)
B
5(4) + 8
C
5(4) + 5(8)
D
(5 + 4) + (5 + 8)
6

Which property is demonstrated? 3[5(4)] + 3 = [3(5)]4 + 3

A
associative property of addition
B
associative property of multiplication
C
commutative property of addition
D
commutative property of multiplication
7

Which equivalent expression demonstrates the commutative property? Check all the apply.

A
13 + 2 + 9 = 2 + 13 + 9
B
8 + 0 = 8
C
9(8 + 45) = 9(8) + 9(45)
D
[29(14)] + 45 = [14(29)] + 45
E
29(14 + 45) = 14(29) + 45
10

What was Michael’s mistake?

A
He should have added 0 to 8 and multiplied 1 by 8.
B
He should have 8 + 1 = 9.
C
He should have 8(0) = 8.
D
He should have distributed the 8.
12

Which reasons did you include in your response? Check all that apply.

A
The distributive property can be applied to multiply 4(28) mentally.
B
The number 28 can be expanded to 20 + 8.
C
The commutative property can be applied to reverse the order of numbers.
13

Analyze the work to find the error.

A
In Step 1, the commutative property of multiplication was not done correctly.
B
In Step 2, the associative property cannot regroup addition and multiplication.
C
In Step 3, the multiplication must be done first
D
In Step 4, the product is incorrect.
15

Which reasons did you include in your response? Check all that apply.

A
Both solutions multiply 5 and 34.
B
Mia’s method requires complex multiplication.
C
Jenna’s method uses the distributive property to simplify the multiplication.
16

21 + (19 + 36):associative property✔ commutative propertydistributive propertyidentity property

A
associative property
B
✔ commutative property
C
distributive property
D
identity property
17

(21 + 19) + 36:✔ associative propertycommutative propertydistributive propertyidentity property40 + 3676

A
✔ associative property
B
commutative property
C
distributive property
D
identity property

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