Vocabulary
Properties
Distributive
Simplify by Combining Like Terms
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. 3 of the friends bought food for $7 each. Write an expression to represent this situation.

5x + 3(7) = 5x + 21

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 8 variety packs? Write and simplify an expression

8(6c + 2r) Final Answer 48c + 16r

400
Which terms are constants? 6x + 22 + 5y
There is only one term 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 $X. She also bought 3 pairs of shorts. The shorts cost an extra $9 per piece. Write and simplify the expression.

6s + 3(9) = 6s + 27

500
Which expressions are EQUIVALENT EXPRESSIONS? 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( 4x - 3) = 32x - 24

Distributive Property

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 Taylor Swift 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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