AnswersGrade 7 MathematicsUsing Properties of Operations

Using Properties of Operations — Quiz Answers

10 verified answers2 views
1
Free Preview

Julia is evaluating the expression 17 times 144 If she uses the distributive property to rewrite the expression with friendlier numbers, which expression can be a step in her work?

A
17 times 2 plus 17 times 72
B
17 times 100 times 17 times 40 times 17 times 4
C
17 times 2 times 17 times 72
D
17 times 100 plus 17 times 40 plus 17 times 4
3

Which equation illustrates the commutative property of addition?

A
12 plus 6 plus 15 is equal to 12 plus open paren 6 plus 15 close paren
B
12 plus 6 plus 15 is equal to 12 plus 6 plus 15
C
12 plus 6 plus 15 is equal to 12 plus 15 plus 6
D
12 plus 6 plus 15 is equal to 18 plus 15
4

Which property is illustrated by the equation 3 times m n is equal to 3 m times n ?

A
commutative property
B
distributive property
C
associative property
D
identity property
5

Patti is using mental math to evaluate the expression open paren 70 plus 12 point 8 plus 30 close paren plus 6 point 1 She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?

A
She can use the associative property to rewrite the expression as open paren 70 plus 30 close paren plus 12 point 8 plus 6 point 1 .
B
She can use the associative property to rewrite the expression as open paren 70 plus 30 plus 12 point 8 close paren plus 6 point 1 .
C
She can use the commutative property to rewrite the expression as open paren 70 plus 30 plus 12 point 8 close paren plus 6 point 1 .
D
She can use the commutative property to rewrite the expression as open paren 70 plus 30 close paren plus 12 point 8 plus 6 point 1 .
7

Morgan rewrote the expression 90 plus open paren 10 plus 4 point 8 close paren as open paren 90 plus 10 close paren plus 4 point 8 How will this change the work that is needed to evaluate the expression?

A
4 point 8 is now multiplied by 90 and 10 .
B
4 point 8 is now added to 10 before adding 90 .
C
4 point 8 is now added after finding the sum of 90 and 10 .
D
4 point 8 is now added to both 90 and 10 .
8

Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?

A
The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.
B
The numbers can be added in any order.
C
The numbers must be added in the order 45, 90, 70, 20, and 35.
D
The number 45 must be the first addend, and 35 must be the last addend.
10

Which statement is true about the expression 12 minus 7 plus 3 ?

A
The expression is equivalent to 12 plus 3 plus negative 7 because of the commutative property.
B
The expression is equivalent to 12 plus 3 plus negative 7 because of the associative property.
C
The expression is equivalent to 12 minus open paren 7 plus 3 close paren because of the associative property.
D
The expression is equivalent to 12 minus 3 plus 7 because of the commutative property.

Did you find these answers helpful?