Vocabulary
Properties
Distributive
Simplifying Expressions
Word Problems
100

How many TERMS are in this expression?

 5r + 4s + 3w

Three terms 

1. 5r 2. 4s 3. 3w

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

Which terms are LIKE TERMS? 

7y + 3 + 5x + y

2 are like terms

 7y & y

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. Write an expression to describe the total cost of the tickets.

5x

300

Identify the coefficients

 8x + 2y + y + 9

There are 3 coefficients - 

8, 2, and 1

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 2 variety packs? Write and simplify an expression

2(6c + 2r) Final Answer 12c + 4r

400

Which terms are constants? 

6x + 22 + 5y

There is only one term that is a constant - 

22

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. Also 3 of the shirts came with matching shorts for an extra $9 a piece. Write and simplify the expression.

6s + 27

500

Which expressions are EQUIVALENT EXPRESSION? There many be more than one answer. 

a) 3r + 7r + 6 = 10r +6 

b) 5y x 2w = 2w x 5y

 c) 3 (x + 2y) = 3x + 2y

 d) ( 3 x 4 ) x 9 = 3 x ( 4 x 9 )

a, b, and d are equivalent expressions c is not equivalent

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 baskets. 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?

5*(2k+ 3p)=10k + 15p

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