Solving by Combining Like Terms
5h + 2 + 2h = 23
h=3
4(x+3)-2=6
v=-1
Simplify. 8b + 3b
11b
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
3b + b - 8 = 4
b=3
-2(3y-7)=56
y=-7
Simplify. 3 + 5(a + 4)
5a+23
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?
7n = 90.93 n = 12.99
3a + 12 - 6a = -9
a=7
6(1-4w)=-18
w=1
Simplify. 19x - 24x
-5x
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
-6 = -3y + 4 + 5y
y=-5
4(2x+5)-8=36
x=3
Simplify. - (2b - 4)
-2b+4
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?
17r + 2.97 = 34.76 r = 1.87
78 = 3c + 12 - c + 4
c=31
2(5-3v)+9v=28
v=6
Simplify. 7(t + 8.5) - 5t + 4
2t+63.5
When you count by ones fron 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