Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Variables on Both Sides
Word Problems
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100

5m  - 1 = 4m + 5

m = 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

13 + 2x = 3x + 4(x - 3)

x = 5

200
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.
300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300

7y + 3 = 7(2 + y)

No Solution

300

Mrs. Wilson goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her 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

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

3(5p - 5) = 5(p - 3)

p = 0
400

Glo Salon offers a variety of spa and tanning services.  They offer a membership of $100 and then it only costs $15 per treatment.  Without a membership at all, each treatment costs $35.  After how many treatments will the member pay the same amount as the non member?

5 treatments

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

(1/6)(12y - 18) = 2y - 3

Infinite Solutions

500

Find the value of x and the perimeter of a square that has side lengths of 12x - 9 and 2.5x + 76.5.

x = 9

Perimeter = 396

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