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Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Inequalities
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
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
Simplify. 19x - 24x
-5x
200

-x - 3x < 8

x > -2

200

Ms. Taylor bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much did each Hannah Montana shirt cost?

n = # of t-shirts; 7n = 90.93 ; n = 12.99 ; Each t-shirt cost $12.99

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
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
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
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
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500

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

k > 4

500

When you count by ones from any 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.