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

2(x + 5) = 14

x = 2

100

Solve. 6p - 18 -2p ≤ -2

p ≤ 4

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?

Julie's sister is 8 years old.

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Solve. 2(6x - 5) < 14
x < 2
200

x + 3x = -8

x = -2

200

Bella earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to earn at least $120?

at least 16 hours

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300

Solve. 3 - 5(a + 4) ≥ -a + 7

a ≤ -6

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?

28 apples in each box

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

Solve. -4 (5x - 2) ≥ 4x + 5

x ≤ 1/8 or .125

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?

$1.87

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500

4/5(15x + 45) ≥ -6x

x ≥ -2

500

7k - 8 + 2(k + 12) = 52

k = 4

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?

at most 5 CDs
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