Distribute/Combine/ 2 Step Equations
Distribute.
-(2x - 8)
-2x + 16
Solve.
1 = -2(x+6)+5
x=-4
Solve.
x+4 = 2x - 7
x=11
Mike and his three friends divide the bill evenly. Each person paid $13. How much was the total bill?
x/3=13
$39
Solve.
6/4=x/10
x=15
Distribute and combine like terms.
-5(4x + 2) - 6x + 11
-26x+1
Solve.
5x+5-2-8x=12
x=-3
Solve.
x+5 = x+10
No Solution
After paying $5.12 for a salad, Nora had $25 left. How much money did she start with?
m-5.12=25
$30.12
Solve.
3/12=4/x
x=16
Distribute and combine like terms.
1/2(2x + 8)-1/5(25x-10)
-4x+6
Solve.
(-4(x-2))/8=8
x=-14
Solve.
5x+8-x=2(x-7)
x=-11
A personal trainer charges a one time fee of $20 and then $15 for each session. Then at the gym you pay a fee of $50 and then $5 for a session with a trainer. Write and solve an equation to determine what number of sessions the costs will be equal.
20+15x=50+5x
3 sessions
Solve.
4/(42+x)=2/5
x=-32
Solve.
y/2+7 = 20
y=26
Solve.
-5(2x+7)+6(3x-1)=31
x=9
Solve.
-5x+2(6x-4)=-(-3x-4)
x=3
A triangle has 3 sides. The first side can be represented as x. The second side is eight more than the first and the third is three times the first. If the perimeter is 38 in, find the length of each side.
6in, 14in, 18in
Solve.
1/4=(x+4)/(x-2)
x=-6
Solve.
(x-4)/-2=5
x=-6
Solve.
-1/2(2x+8)+1/4(12x-4)=1
x=3
Solve.
-5x+3(2x-8)+6=5x-4x-20+2
Infinitely Many Solutions
Two states are getting rain. North Dakota has already has gotten 5 inches of rain and it is increasing by 3 1/2 inches every hour. South Dakota already gotten 2 inch of rain and it is increasing by 4 1/4 inches every hour. In how many hours will they have gotten the same amount of rain?
4 hours
Solve.
9/6=(x+3)/(x-2)
x=12