Multi-Step Equations
Solve: -4x-7-3x+4=25
x=-4
Solve: 4x+1=2x-5
x=-3
Solve for y: P=2x+2y
y= (P-2x)/2
Solve: |x+1|=8
x=7 and x=-9
A local gym charges a one-time registration fee of $40 to join, and then $25 per month for the membership. If you have spent a total of $190 at this gym, how many months have you been a member?
6 months
Solve: -4(7x+5)=-160
x=5
Solve: 7-14m=2m-5
m=3/4
Solve for x: 5x+3xz=y
x=y/(5+3z)
Solve: |2w-4|/6=3
w=-7 and w=11
A group of 6 students goes to a theme park. Each student buys a discounted admission ticket and pays an additional $12.00 for a "Fast Pass" to skip the lines. If the total cost for the entire group was $330.00, what was the price of one discounted admission ticket?
$43
Solve: 3k+2(5k-3)=7
k=1
Solve: -10b+5=7b+5
b=0
Solve for a: s=n(a+1)
a= (s/n)-1
Solve: -3|2x+1|=21
No solution.
Net-Stream charges a monthly fee of $15.00 plus $2.00 for every premium movie rental. Cine-View charges a monthly fee of $7.00 plus $4.00 for every premium movie rental. How many premium movies would you need to rent in a month for the cost of both services to be exactly the same?
4 movies
Solve: 7(3x-1)-(x+5)=-52
x=-2
Solve: 2(n+2)=4n+1-2n
No Solution
Solve for b: A=(1/2)bh
b=(2A)/h
Solve: 7|4n+8|-6=106
n=-6 and n=2
According to professional league rules, a football must be inflated to a target pressure of 13 psi (pounds per square inch). However, the pressure is allowed to vary by up to 0.5 psi and still be considered legal for play. What are the maximum and minimum legal pressures for a football?
13.5 psi and 12.5 psi
Solve: -1/3(9x+42)-5x=-70
x=7
Solve: 2(x+4)=4x+3-2x+5
Infinite Many Solutions
Solve for x: 1/3(2x-y)=z
x=(3z+y)/2
Solve: 3/2|4r-4|-24=-21
r=1/2 and r=3/2
A car rental charges a flat fee plus a per-mile charge. Karen rents a car and drives such that her total cost in dollars is given by the equation C=45+0.20m, where m is miles driven. A competitor offers C=30+0.25m for the same miles driven. If Karen drove 150 miles, how much more or less did she pay compared to the competitor?
$7.50 more