Solving by Combining Like Terms
Solving by Using the Distributive Property
Inequalities
Graph Inequalities
Word Problems
100
5h + 2 + 2h = 23
h = 3
100

2(x + 5) = 14

x = 2

100

Solve. 4p - 18 ≤ -2

p ≤ 4

100

x > 13

On Board

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

-5x < 25

x > -5

200

x + 3x ≤ -8

On Board

200
Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?
x ≥ 16
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

.5a + 3 ≤ -4

a ≤ -14

300

-9x - 1 ≤ 26

x ≥ -3


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?

b = 28

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400

Solve. -4 (5x - 2) ≥ -112

x ≤ 6


400

-2/3x + 9.7 ≥ -10.1

x ≤ 13.2

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

9c + 78 = 3c + 12 - c - 4

c = -10

500

-13(4 + 2a) = -115 - 12a

a = 4.5

500

4/5(15x + 45) ≥ -6x

x ≥ -2

500

4(y - 2) + y < -13

y < -1

500
Dylan has $100. He wants to buy a book for $20 and some CDs for $15 each. At most, how many CDs can Dylan buy?
C = 5 (Interpret the quotient)
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