Define a variable and write an equation to represent each situation

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Define a variable and write an equation to represent each situation. Then solve each problem.
Make sure you answer is reasonable.
1. A library receives a large cash donation and uses the funds to double the number of books
that it owns. Then a book collector gives the library 4028 books. After this, the library
has 51,514 books. How many books did the library have to begin with?
2. Suppose that you are preparing a large meal and can peal 2 carrots per minute. You need
60 peeled carrots. How long will it take for you to finish if you already have 18 carrots
peeled?
3. One cell phone plan costs $39.95 per month. The first 500 minutes are free, and each
minute over costs $.35. If Ariel’s bill was $69.70, how many minutes over her plan did
she go?
4. Suppose the Earth’s surface temperature is 22 C and that the temperature increases by 10
C for every kilometer below the surface. If the temperature at the bottom of a gold mine
is 45 C, how deep is the mine?
5. Farm Bureau’s insurance policy pays people for claims by multiplying the claim amount
by 0.8 and then subtracting $500. If your neighbor received a check for $4650, how
much was the claim amount?
6. The temperature at a ski slope decreases 2.5 F for every thousand feet of elevation above
the base. The temperature ate the base is 28 F and the temperature at the summit is 24
F. How many thousand feet above the base is the summit?
7. The $347 selling price for a stereo is $35 more than 3 times the wholesale cost. Write an
equation and find the wholesale cost.
8. An online music club sells CDs for $15.95 each plus $2.95 shipping and handling per
order. If Stephen’s total bill is $98.65, how many CDs did he buy?
9. You have a 90 pound calf you are raising for a 4-H project. You expect the calf to gain
65 pounds per month. In how many months will the calf weigh 1000 pounds?
10.John and two friends rent a canoe at a park whose prices are below. Each person must
rent a life jacket. They have a total of $41 to spend on the canoe and life jackets. Using
all of the money, how many hours will they be able to canoe?
Canoe Rental
$5 per hour
$2 life jacket
Define a variable and write an equation to represent each situation. Then solve each problem.
Make sure you answer is reasonable.
1. A library receives a large cash donation and uses the funds to double the number of books
that it owns. Then a book collector gives the library 4028 books. After this, the library
has 51,514 books. How many books did the library have to begin with?
2. Suppose that you are preparing a large meal and can peal 2 carrots per minute. You need
60 peeled carrots. How long will it take for you to finish if you already have 18 carrots
peeled?
3. One cell phone plan costs $39.95 per month. The first 500 minutes are free, and each
minute over costs $.35. If Ariel’s bill was $69.70, how many minutes over her plan did
she go?
4. Suppose the Earth’s surface temperature is 22 C and that the temperature increases by 10
C for every kilometer below the surface. If the temperature at the bottom of a gold mine
is 45 C, how deep is the mine?
5. Farm Bureau’s insurance policy pays people for claims by multiplying the claim amount
by 0.8 and then subtracting $500. If your neighbor received a check for $4650, how
much was the claim amount?
6. The temperature at a ski slope decreases 2.5 F for every thousand feet of elevation above
the base. The temperature ate the base is 28 F and the temperature at the summit is 24
F. How many thousand feet above the base is the summit?
7. The $347 selling price for a stereo is $35 more than 3 times the wholesale cost. Write an
equation and find the wholesale cost.
8. An online music club sells CDs for $15.95 each plus $2.95 shipping and handling per
order. If Stephen’s total bill is $98.65, how many CDs did he buy?
9. You have a 90 pound calf you are raising for a 4-H project. You expect the calf to gain
65 pounds per month. In how many months will the calf weigh 1000 pounds?
10.John and two friends rent a canoe at a park whose prices are below. Each person must
rent a life jacket. They have a total of $41 to spend on the canoe and life jackets. Using
all of the money, how many hours will they be able to canoe?
Canoe Rental
$5 per hour
$2 life jacket
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