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Solving by Combining Like Terms
Solving by Using the Distributive Property
Inequalities
Sequences
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

What is the Common Difference of the sequence?

5, 12, 19, 26, ...

d=7

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

What is the common ratio of the sequence?

2, 10, 50, 250, ...

r = 5

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

Arithmetic, Geometric, or Neither?

-10, 0, 10, 20, 30

Arithmetic

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) ≥ 4x + 5
1/8 or .125
400

What is the 4th term of the sequence with the explicit equation:

f(x) = 3x - 5 

f(4) = 7

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
a = -10
500

4/5(15x + 45) ≥ -6x

x ≥ -2

500

What is the 5th term of the sequence with the explicit equation:

f(x)= 4(2)x

f(5)=128

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)