Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100
4x + 9 = 33
x = 6
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
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200
x + 3x = -8
x = -2
200

Mr. Kutz bought 7 Cost-Co hoodies for a total of $90.93. Each hoodie cost the same amount. How many Cost-Co hoodies did Mr. Kutz buy?

n= # of hoodies; 7n = 90.93; n = 12.99 Each hoodie cost $12.99

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
300

Malachi collects video games. He has 4 boxes of games. Each box has the same number of games. After Malachi donates 3 video games, there are 109 games left in the boxes. How many video games were in each box?

a= # of video games in each box; 4a - 3= 109; a = 28 There were 28 video games in each box.

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400
-6(m + 1) + 18 = 24
m = -2
400

Ms. Brogan goes to the grocery store and purchases 17 bags of skittles and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a bag of skittles?

s= cost of a bag of skittles; 17s + 2.97 = 34.76; s= 1.87

Each bag of skittles cost $1.87

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500
7k - 8 + 2(k + 12) = 52
k = 4
500

When you count by ones fronm any integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. What are the 3 consecutive integers that make a sum of 48?

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

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