Solving by Combining Like Terms
Simplify. 8b + (-3b)
5b
4x + 9 = 33
x = 6
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 + 3 = 11 n = 8
n = 8 years old
-3b + b - 8 = 4
b = -6
5(d - 2) = -40
d = -6
Simplify. 19x - 25x
-6x
x - 3x = -8
x = 4
WRITE AN EQUATION & SOLVE
Mr. Bryant bought 7 Silverhawk t-shirts for a total of $90.93. Each t-shirt cost the same amount.
How many t-shirts did he buy?
7n = 90.93
Each t-shirt cost $12.99
4(y - 2) + y = -13
y = -1
WRITE AN EQUATION & SOLVE
Ms. Scudder has 4 boxes of apples. Each box has the same number of apples. After she shares 3 apples, there are 109 apples left in the boxes.
How many apples were in each box?
4a - 3 = 109
There were 28 apples in each box.
Simplify. -1/2(2b - 4)
-b + 2
-6(m + 1) + 18 = 24
m = -2
WRITE AN EQUATION & SOLVE
Mrs. Adriance went to the grocery store and purchases 17 packages of raisins and a $2.97 jar of peanut butter. She spent a total of $34.76.
What was the cost per package of raisins?
17r + 2.97 = 34.76
Each package of raisins cost $1.87
78 = 1 1/3c - 12 - c + 4
c = 258
-1/2(-4 - 2a) = 208
a = 206
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
7k - 8 + 2(k + 12) = 52
k = 4
WRITE AN EQUATION & SOLVE
The sum of three consecutive integers is 48.
What are the integers?
3x + 3 = 48
15, 16, and 17.