Solving Equations with One Variable
11-5(x+7)=21
x=-9
-8=d/3
d=-24
Solve the literal equation for h:
A=1/2bh
h=(2A)/b
Ryan and Ally went pumpkin picking last weekend and spent a total of $47.50. They purchased a tote bag to carry their pumpkins for $5, and the pumpkins cost $8.50 each. How many pumpkins did they pick?
5 pumpkins
The sum of three consecutive even integers is 48. What are the integers?
The integers are 14, 16, and 18.
3(3x-3)=-9
x=0
3/5p=15
p=25
Solve the literal equation for y:
a=by-2y
y=a/(b-2)
The monthly membership fee for a streaming service is $8.90. Additional add-on features are also available for $1.25 for each add-on. For one month, Kiara's membership and add-on fees were $15.15. How many add-ons did Kiara purchase that month?
5 add-ons
The sum of three consecutive integers is -54 . What are these integers?
-19, -18, -17
-3(g-4)=2-3g
No Solution
(x-7)/6+3=-4
x=-35
Solve the formula for P:
A=P+Prt
P=A/(1+rt)
A basketball team played 32 games this season. They won 3 times as many games as they lost. How many games did the basketball team win?
They won 24 games.
The sum of three consecutive odd integers is 141. What is the largest of the integers?
all three: 45, 47, 49
LARGEST: 49
2y-7+4y=3(2y-1)-4
Infinitely many solutions
(2x)/5-(2x)/3=8/15
x=-2
Solve the literal equation for y:
5x-3y=-12
y=5/3x+4
Chris's Rent-a-Car rents cars for $125 plus $0.20 per mile. Mark's Rent-a-Car rents for $83 plus $0.30 per mile. After how many miles will it cost the same amount to rent from either car rental company?
After 420 miles it will cost the same to rent from either company.
A cargo plane flew to the maintenance facility and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 220 mph. The average speed on the trip back was 200 mph. How many hours did the trip there take?
It took 10 hours to get there.
2/3(6x+9)-x+7=28
x=5
1/6x+3/4x=11/2
x=6
Solve the literal equation for y:
k=1/4p(x-y)
y=-(4k)/p+x
Your soccer team wants to buy t-shirts. Company A charges a $50 design fee and $15 per shirt. Company B charges a $95 design fee and $12 per shirt. For how many shirts would the companies cost the same amount to order from?
For 15 shirts the companies would cost the same to order from.
A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite directions. The aircraft carrier traveled at 50 mph for 9 hours. After this time the vessels were 615 miles apart. How fast was the submarine traveling?
The submarine was traveling 15 mph.