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. 8p  ≤ 2

p ≤ 0.25

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?

3 +x = 11

Julie's sister is 8 years old.

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200

Solve.   x+ 10 < 12

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?

7.50(x) = 120

at least 16 hours

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

Solve. 3x ≤ -12

x ≤ -4

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?

4x - 3 = 109

28 apples in each box

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

Solve.   x/(-3) ≥  -5

x ≤ 15

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?

17x +2.97 = 34.76

$1.87

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

-2x +1 ≥ 11

x ≤ -5

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?

20 + 15x ≤ 100

x ≤ 5.33   ... which means

at most 5 CDs

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