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Combining Like Terms/Distributive Property
Variables on Two Sides
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
5t - 4= t - 8
What is t=-1?
100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

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
7 + 3h = -1 -5h
What is h= -1?
200

Ms. Javier bought 7 Harry Styles t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many t-shirts did Ms. Javier 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
6d + 1 = 15 - d
What is d= 2?
300

Translate the sentence into an equation. Eight less than twice a number is sixteen.

What is 2x - 8 = 16?

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
5(t+2) = 25 + 2t
What is t=5?
400

Tyler has 4 boxes of apples. Each box has 28 apples. What is the total number of apples Tyler has?

a - # of apples in each box a/4 = 28 There are 112 apples.

500
-5 + w = -2
What is w = 3?
500
-5 + 10b = -75
What is b=-7?
500
4(y-2) + y= -13
What is y= -1?
500
5(k-4) = 4- 3k
What is k = 3?
500

Ms. Mendoza goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her 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