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Combining Like Terms/Distributive Property
Grab Bag
Word Problems
100
x + 8 = -2
What is x = -10?
100
2x + 5 = 23
What is x = 9?
100
3b - 5 - 2b = 5
What is b= 10?
100

4x + 9 = 33

x = 6

100
Your sister bought pencils at $0.39 each and a notebook at $1.19. The total cost was $3.92. How many pencils did she buy?
What is 0.39p + 1.19 = 3.92? and p = 7 pencils
200
y - 5 = -14
What is y= -11?
200
m/-2 + 7 = 21
What is m= -28?
200
3 (x -4) = 15
What is x=9?
200

x + 3x = -8

x = -2

200

Mr. Stone bought 7 Taylor Swift t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Taylor Swift t-shirts did Mr. Stone buy?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300
-12 x = 132
What is x= -11?
300
49 = 5y - 26
What is y = 15?
300
5n + 4 - 8n = -5
What is n = 3?
300

4(y - 2) + y = -13

y = -1

300

Eight less than twice a number is sixteen less than three teims the number. What is the number?

What is 2x - 8 = 3x -16? and x = 8?

400
p/4 = -8
What is p = -32?
400
-2w + 1 = -9
What is w= 5?
400
3(s-10) = 36
What is s= 22?
400

-6(m + 1) + 18 = 24

m = -2

400

Mr. Stone goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500
-5 + w = -2
What is w = 3?
500
-5 + 10b = -75
What is b=-7?
500

-13(4 + 2a) = 208

a = -10

500

7k - 8 + 2(k + 12) = 52

k = 4

500

When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.