Properties and Expressions

Match the expression to the property listed that is being shown.  You may use them more than once. (Type your 5 letters lower case and with no spaces in between like: abcab)

Simplify  
  100( -3x + -2)

• -103x + -200

• 97x + -200

• 300x + -200

• -300x - 200

Your friend read 6 more than twice the number of pages that you read for homework. Let p be the number of pages you read. Write an expression for the number of pages your friend read.

Tell what property the statement illustrates:

12 + 0 = 12

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

You rent a moving truck. There is an initial fee of 33 dollars plus $4 per mile driven. Write an expression for driving m miles.

What property is this?

5 x 6 = 6 x 5

• 30

• Commutative Property

• Identity Property of 1

• Associative Property

What property is this?

• Commutative Property

• Associative Property

• Distributive Property

• None.

Which of the following shows the associative property of addition?

• 6 + (7 + 8) = 6 + (8 + 7)

• 6 ⋅ (7 ⋅ 8) = 336

• 6 + (7 + 8) = (6 + 7) + 8

• 6(7 + 8) = 6 ⋅ 7 + 6 ⋅ 8

Check all of the equivalent expressions for:

3(4x + 7)

• 34x + 12

• 12x - 21

• 12x + 21

• 3(4x) + 3(7)

What is the value of the expression if: u = 7 v = 3 for the expression: u + 4v

• 11

• 14

• 19

• 31