# Alg 1B Word Problems Name by shuifanglj

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Algebra Word Problems                             Perimeter Problems

1. The length of a rectangle is 5 inches more than its width. The perimeter is 66
inches. Find the dimensions of the rectangle.

2. The length of a rectangle is 8 inches longer than its width. The perimeter is 80
inches. Find the length and width of the rectangle.

3. The length of a rectangle is 5 inches longer than its width. The perimeter is
168 inches. Find the dimensions of the rectangle.

4. The width of a rectangle is 3 inches less than its length. The perimeter is 130
inches. Find the length and the width of the rectangle.

5. The perimeter of a rectangular parking lot is 146 yards. Find its dimensions if
the length is 7 yards less than 4 times the width.

6. The perimeter of a rectangular skating rink is 530 feet. If the length is 5 feet
more w than 3 times the width, what are the dimensions?

7. The perimeter of a rectangular garden is 110 feet. Find its dimensions if the
length is 5 feet less than twice the width.

8. The perimeter of a rectangular tennis court is 228 feet. If the length of the
court is 6 feet longer than twice the width, find the dimensions.

9. The length of a rectangle is 4 feet more than twice the width. The perimeter is
116 feet. Find the dimensions of the rectangle.

10. The length of a rectangle is 3 more than twice the width. The perimeter is 36.
Find the dimensions.
Using systems to solve                       Coin Problems

For each problem, translate into a pair of equations. Then solve.

1. A class contributed \$3.50 in nickels and dimes to the Red Cross. In all there were 45 coins.
How many were there of each kind?

2. A purse containing \$3.20 in quarters and dimes has, in all 20 coins. Find the number of each
kind of coin.

3. A purse contains \$4.70 in nickels and quarters. There are 30 coins in all. How many of each
kind are there?

4. Sam has \$2.05 in quarters and dimes. The number of quarters is four more than the number
of dimes. Find the number of each coin.

5. Helen has \$1.35 in her bank in nickels and dimes. The number of nickels is 9 more than the
number of dimes. How many of each coin does she have?

6. A jar of dimes and quarters contains \$15.25. There are 103 coins in all. How many of each
coin are there?

7. A jar of quarters and nickels contains \$1.25. There are 13 coins in all. How many of each coin
are there?

8. A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels
in the machine. There is a total of \$4.40 in the machine. How many of each coin are in the
machine?

9. A vending machine takes only nickels and dimes. At the end of the day the number of nickels
was three times the number of dimes. There was a total of \$25. How many of each coin was
there?

10. Phil has 50 nickels and dimes worth \$4.15. How many dimes does he have?

11. Sally has \$21.40 in dimes and quarters, for a total of 100 coins. How many of each kind of
coin does she have?

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