Two-Step Equations
n/2 - 7 = -6
n = 2
1/2x + 4 = 5
x = 2
4(2x - 2) = 56
x = 8
Shane Was going to sell all of his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 9 more. How many do he have if he started with 39?
WRITE an equation to represent this situation.
1/2x + 9 = 39
4 = n/2 - 1
n = 10
5.5 + 3.0x = 11.5
x = 2
2(3x - 4) = -2
x = 1
Bill spent 1/3 of his allowance on clothes. To earn more money, he mowed the lawn for $6. What is his weekly allowance if he ended with $11?
WRITE an equation to represent this situation.
1/3x + 6 = 11
10 = 8 + n/8
n = 16
2/3k - 15 = -19
k = 6
- (2x + 5) = 7
x = -6
Kristin had 54 pieces of candy to give to her 4 kids. She first took 6 pieces for herself then evenly divided the rest with her children.
WRITE an expression to represent this situation.
4x + 6 = 54
-7x - 4 = 66
x = -10
2 = -9 - 1/4x
x = -44
6(k + 2) = 72
k = 10
Stefan rented a bike from Shane's Bikes. It cost $19 plus $7 per hour. If Stefan paid $68, then how many hours did he rent the bike?
WRITE an equation to represent the situation.
19 + 7x = 68
-43 = -7x - 1
x = 6
-41.12 = -8.5 - 3.5x
x = 9.32
1/2(6x + 18) = 24
x = 5
512 students went on a field trip. 10 buses were filled and 12 students traveled in cars. How many students were in each bus?
WRITE an equation to represent the situation.
10x + 12 = 512