Solving by Combining Like Terms
5h + 2 + 2h = 23
h = 3
2(x + 5) = 14
x = 2
Simplify. 8b + 3b
11b
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?
11= s + 3
Julie's sister is 8 years old.
3b + b - 8 = 4
b = 3
5(d - 2) = 40
d = 10
Simplify. 19x - 24x
-5x
x + 3x = -8
x = -2
Ms. Kunkel bought 7 Hannah Montana t-shirts for a total of $56.70 Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Ms. Kunkel buy?
7t = 56.70
cost = $8.10 each
3a + 12 - 6a = -9
a = 7
7(4 - t) = -84
t = 16
Simplify. 3 + 5(a + 4)
5a + 23
4(y - 2) + y = -13
y = -1
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?
4a - 3 = 109
a = 28
There were 28 apples in each box.
-6 = -3y + 4 + 5y
y = -5
-2(x - 9) = -24
x = 21
Simplify. - (2b - 4)
-2b + 4
-6(m + 1) + 18 = 24
m = -2
Mrs. Milchan went to the grocery store and bought 12 bags of raisins and a $3.00 jar of peanut butter. Her total cost was $33.00. What was the cost for one bag of raisins?
12r + 3 = 33
one bag of raisins = $2.50
78 = 3c + 12 - c + 4
c = 31
-13(4 + 2a) = 208
a = -10
Simplify. 7(t + 8) - 5t + 4
2t + 60
7k - 8 + 2(k + 12) = 52
k = 4
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.