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. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much was each Hannah Montana t-shirt?

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

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples 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
Mr. Bucci 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

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 from any 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.

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