Two Step Equations
9 - 3x = 21
x = -4
2x - 4 = -3x + 6
x = 2
Mr. May joined a gym for $56 down and a $13 monthly fee. If he gets a bill for $147, how many months was he able to use the gym?
7 months
Write an equation for the word sentence and solve: the product of p and 3 minus 7 is 14
3p - 7 = 14; p = 7
6 = -x - 14
x = -20
7 - x/6 = -1
x = 48
-17 - 4x = 6x -7
x = -1
At your local farmer's market it cost $10 to rent a stand and $7 every hour you are there. If you receive a bill of $38, how many hours were you there?
4 hours
The quotient of x and 7 plus 6 = 3
x/7 + 6 = 3; x = -21
-9 = x/18 - 10
x = 18
7d - 11d - 6 = -22
d = 4
-5x - 3x + 13 = 4x - 59
x = 6
The Hudson family is saving for a family vacation to Disney World. The trip will cost $3,200. They have already saved $1,200. If they leave in 16 weeks, how much do they need to save each week?
$125
The difference of 6 and 8 times p is -42
6 - 8p = -42; x = -6
This summer Sam has two jobs. She is babysitting for $8 and hour and selling ice cream at Dairy Queen for $10 ah hour. She worked 5 hours at Dairy Queen and received $106 from working both jobs. How many hours did she babysit?
8x + 50 = 106; x = 7
7 hours
-6(-2x + 4) = -36
x = -1
-2(-6x - 7) = -3(-4x +6)
No Solution
Chuck jogged the same distance on Tuesday and Friday and 8 miles on Wednesday, for a total of 20 miles for the week. How much did he jog on Tuesday and Friday each?
6 miles
The quotient of x and 9 minus 4 is 3
x/9 - 4 = 3; x = 63
-12(x - 6) = 5x + 4
x = 4
(-x - 4)/6 = -3
x = 14
-4(4x - 6) = -8(2x -3)
Infinite Many Solutions
Julia planted a sunflower that was 18.2 inches tall. Each week it grows 0.3 inches. How many weeks till the sunflower reaches 26 inches?
26 weeks
The product of -7 and the sum of x and 3 is 56
-7(x + 3) = 56; x = -11
14(-x +2) = -7(2x +3)
No Solution