What Property?
Properties
Distributive
Simplifying Expressions
Word Problems
100

3 + 4  =  4 + 3

Commutative Property of Addition

100
What property is being demonstrated? 9 x 7 = 7 x 9
Commutative Property
100
Use the distributive property 5 ( w + 2 ) =
5w + 10
100
simplify this expression x + x + x + x + 2x
6x
100
Brady has 20 baseball cards. Harrison bought him x more cards. Write an expression that shows how many baseball cards Brady has now.
20 + x
200

(2 × 4) × 3  =  2 × (4 × 3)

Associative Property of Multiplication

200
Which property is being shown? (3 + 1) + 5 = 3 + (1 + 5)
associative property
200
Use the distributive property 2 ( 4r + 8 ) =
8r + 16
200
simplify this expression 5y + 2x + 4y
9y + 2x
200
Anthony and 4 friends went to a basketball game. Admission to the game was $x. 3 of the friends bought caps for $7 each. Write an expression and simplify it.
5x + 21
300

6(2 + 4)  =  6(2) + 6(4)

Distributive Property

300
Which property is being demonstrated? 4 ( 3x + 2y) = 12x + 8y
distributive property
300
Use the distributive property 6 (s + f) =
6s + 6f
300
simplify this expression y + y + x + 3y
5y + x
300
One variety pack of music has 6 country albums and 2 rock albums. Country albums cost $c and rock albums cost $r. How much would it cost to buy 8 variety packs? Write and simplify an expression
8(6c + 2r) Final Answer - 48c + 16r
400

9 + 0  =  0 + 9  =  9

Identity property of addition


400
Which property is being demonstrated? a + b + c = b + c + a
Commutative Property.
400
Use the distributive property 11 (5 + 8h) =
55 + 88h
400
simplify this expression 4 (2f + s) + 3 =
8f + 4s + 3
400
Alex bought 6 shirts at $s. 3 of the shirts came with matching shorts. The shorts cost and extra $9 a piece. Write and simplify the expression.
6s + 27
500

Use a property to write an expression that is equivalent to 3y + 4y.

Equivalent expression : y(3 + 4)

Property used : Distributive Property

500
Which property is being demonstrated? 8 + 0 = 8
The identity property of addition OR the identity property of zero.
500
Use the distributive property 7 ( 3r + 8s )
21r + 56s
500
Simplify the expression 8 ( 3x + 2y ) + x
25x + 16y
500
Write and simplify an expression for the word problem - Madison is making gift baskets for her family. Each basket has 2 Katy Perry CDs and 3 One Direction posters. The CDs cost $k and the posters cost $p. How much will she spend if she wants to make 5 baskets?
10k + 15p
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