A
7a+10=2a
a=-2
11x=24+8x
x=8
5n+9=2n
n=-3
3k+14=k
k=-7
3-10b=2b-9
b=1
2z-31=-9z+24
z=5
8y-3=6y=17
y=10
-7x+5=x-19
x=3
On Saturday, you bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games, g, were bowled?
$2 + $3.50g = $5 + $3.25g
g=
At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25. How many letters, e, must be engraved for the costs to be the same?
$12.50 + $0.40e = $14.75 + $0.25e
e=
You are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month. How many months, m, will it take for the costs to be the same?
$1000 + $1200m = $1500 + $1175m
m=
Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62000, with annual raises of $2,000. How many years, y, will it take for Lenny and Karl to make the same salary?
$55,000 + $2,500y = $62,000 + $2,000y
y=
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?
$7 + $0.20p = $5 + $0.30p
p=
A twelve inch candle and an 18 inch candle are lit at 6pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Let h represent the number of hours.
12-0.5h = 18-2h
h=
Bill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?
120 +10m = 150 + 4m
m=
A full 355 mL can of Coke is leaking at a rate of 5 mL per minute into an empty can. How long will it take for the two cans to have the same amount,a, of Coke?
355- 5a = 5a
a=
The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster membership fee is $10. In addition, each purchased song costs $0.89. How many downloaded songs, d, must be purchased for the monthly price of Napster to be the same as iTunes?
$0.99s =$10 + $0.89s
s=
Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
200 + 6m = 500 - 6m
m=
Tim is choosing between two cell phone plans that offer the same amount of free minutes. TMobile’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?
$39.99 + $0.45a =$44.99 + $0.40a
a=
Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
800- 6m = 1000 - 10m
m=