Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Solve when a=-3, b=2, c=-1
Word Problems
100
5h + 2 + 2h = 23
h = 3
100

2(x + 5) = - 14

x = -12

100
Simplify. 8b + 3b
11b
100

4a + 9b

 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

2c + 3(a+b)

-5

200

Mr. Cushman bought 5 t-shirts for $90.80 and he paid $6.20 tax. Each t-shirt cost the same amount. How many did Mr. Cushman buy?

n - # of t-shirts 5n = 90.80+6.20

 n = 19.40 Each t-shirt cost $19.40

300
3a + 12 - 6a = -9
a = 7
300

7(4 - t) = -84

t = 16

300
Simplify. 3 + 5(a + 4)
5a + 23
300

4(a - 2) + 2c

-22

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

x = 42

400
Simplify. - (2b - 4)
-2b + 4
400

-6(a + 1) - 4c 

16

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 of 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) = 212 - 2a

a = -11

500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500

7c - 8 + 2(a + 12)

3

500

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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