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Solving by Combining Like Terms
Justification Properties
Inequalities
Equation Grab Bag
Word Problems
100
5h + 2 + 2h = 23
h = 3
100

x + 5 = 7

x       = 2

Subtraction property

100

Solve. 6p - 18 -2p ≤ -2

p ≤ 4

100

Solve for b.

r = b(2 - h)

b = r / (2 - h)

100

WRITE AN EQUATION & SOLVE: Mari has a part time job. She earns $17.50 per hour and made $20 in tips. Last week she earned $282.50 total. How many hours did Mari work last week?

17.50h + 20 = 282.50

h = 15

200
3b + b - 8 = 4
b = 3
200

5(d - 2) = 40

5d - 10  = 40

Distributive property

200
Solve. 2(6x - 5) < 14
x < 2
200

-13(4 + 2a) = 208

a = -10

200

Bella has saved $33 from her birthday and earns $7.50 per hour on the weekends babysitting. How many hours will she need to babysit to have at least $153?

x ≥ 16

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

7(4 - t) = -84

(4 - t) = -12

Division Property

300
Solve. 3 - 5(a + 4) ≥ -a + 7
a ≤ -4
300

Solve for y.

-4x + 2y = d 

y = (d + 4x) / 2

300

Francisco went to the fair this weekend and paid an initial admission fee of $8.75 to get in. Each ride costs $2.25. How many rides did Francisco go on if he spent $35.75 at the fair?

r = 12

He went on 12 rides

400
-6 = -3y + 4 + 5y
y = -5
400

-2x - 9 + 6x = -24

4x - 9          = -24

Combine like terms

400
Solve. -4 (5x - 2) ≥ 4x + 5
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?
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

-52 - 26a    = 208

- 26a    = 260

a = -10

Distribute

Addition

Division

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?
C = 5 (Interpret the quotient)