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Solving by Combining Like Terms
Solving by Using the Distributive Property
Absolute Value Inequalities
Equation Grab Bag
Word Problems
100

5h + 2 + 2h = 23

h = 3

100

2(x + 5) = 14

x = 2

100

| a + 3 | < 5

What is a > -8 and a < 2

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?
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

|8m| ≥ 72

What is m ≤ -9 and m ≥ 9

200
x + 3x = -8
x = -2
200
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300

3a + 12 - 6a = -9

a = 7

300

3 (6n + 4) + 7 = 127

n=6

300

| -1 + b | + 6 < 8

What is b > -1 and b < 3

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?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
400

-11 - 4m = m + 5 - 3m

m=-8

400

-5 (n + 7) - (1 - 7n) = -22

n=7

400

5 - 9| 9 - k| > -13

What is k > 7 and k < 11

400

3 (5n - 6) + 7 (n + 6)=46

n=1

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

-1 - 4v = 3 - 4v + v

v=-4

500

-6 (5m - 8) = 8 + -4 (7m - 2)

m=16

500

10| 4x – 1 | - 7 ≤ 1034

What is x ≤ 3 and x ≥ -2.5

500
7k - 8 + 2(k + 12) = 52
k = 4
500

When you count by ones from many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.