Name: _______________________
Worksheet D
Directions: For each problem, write down what the variable is, the equation, and solution.
MAKE SURE YOU SHOW WORK!
1) The sales tax on a book was $1.74. If the sales tax was 5%, what was the cost of the
book before taxes?
2) Six consecutive multiples of 5 add up to 765. What is the largest number?
3) The perimeter of a square is 64 inches. What is the area?
4) Stephanie has a pile of dimes and quarters that had a value of $6.75. If there were twice
as many dimes as quarters, how many quarters did Stephanie have?
5) A rectangle’s length is 6 times its width. If its perimeter is 126 feet, what is the length of
the rectangle?
6) Jordan drove his car at 60 mph for the same number of hours that Luke drove his car at
52 mph. If Jordan ended up driving 92 miles more than Luke, how many hours did they
each drive?
7) If Kate triples her height, she will be as tall as if she added 147.5 inches to half her
height. How tall is Kate?
8) What is the area of the small rectangle if the perimeter of the large rectangle is 64 feet?
The sides of the rectangles are shown in the graph below.
9) Nathan and Marissa each worked the same number of hours last week. Nathan is pain
$8 per hour plus a weekly bonus of $33 while Marissa is paid $9 per hour with no bonus.
If they worked an equal number of hours and were paid an equal amount of money last,
how many hours did they each work that week?
10) One side of a triangle is 5 inches shorter than the second side which is 3 inches shorter
than the longest side. If the perimeter of the triangle is 31 inches, how long is the
shortest side?
Name: ______KEY______
Worksheet D
Directions: For each problem, write down what the variable is, the equation, and solution.
MAKE SURE YOU SHOW WORK!
1) The sales tax on a book was $1.74. If the sales tax was 5%, what was the cost of the
book before taxes?
Price of a book: n
Equation: .5n=1.74
Answer: $34.80
2) Six consecutive multiples of 5 add up to 765. What is the largest number?
Smallest: n
Next: n+5
Next: n+10
Next: n+15
Next: n+20
Largest: n +25
Equation: 6n+7= 765
Answer: n=115; Largest is 140
3) The perimeter of a square is 64 inches. What is the area?
Side: n
Equation 4n=64
Answer: n=16; 256 square inches
4) Stephanie has a pile of dimes and quarters that had a value of $6.75. If there were twice
as many dimes as quarters, how many quarters did Stephanie have?
Number of quarters: n
Value of quarters: 25n
Number of dimes: 2n
Value of dimes: 20n
Equation 25n+20n =675
Answer: 15 quarters
5) A rectangle’s length is 6 times its width. If its perimeter is 126 feet, what is the length of
the rectangle?
Equation: 14n =126
Answer: n = 9; 54 feet
6) Jordan drove his car at 60 mph for the same number of hours that Luke drove his car at
52 mph. If Jordan ended up driving 92 miles more than Luke, how many hours did they
each drive?
Hours driven: n
Distance Jordan drove: 60n
Distance Luke drove: 52n
Equation: 52n +92 = 60n
Answer 11.5 hours
7) If Kate triples her height, she will be as tall as if she added 147.5 inches to half her
height. How tall is Kate?
Height: n
Equation 3n = .5n+147.5
Answer: 59 inches
8) What is the area of the small rectangle if the perimeter of the large rectangle is 64 feet?
The sides of the rectangles are shown in the graph below.
Length of large rectangle: 3n-8
Width of large rectangle: n
Equation: 3n – 8+3n -8 +n +n = 64
Answer: n=10; so the size of the small rectangle is 7 by 17; so the area is 119 square feet
9) Nathan and Marissa each worked the same number of hours last week. Nathan is pain
$8 per hour plus a weekly bonus of $33 while Marissa is paid $9 per hour with no bonus.
If they worked an equal number of hours and were paid an equal amount of money last,
how many hours did they each work that week?
Nathan’s pay: 8n+33
Marissa: 9n
Equation: 8n+33=9n
Answer: 33 hours
10) One side of a triangle is 5 inches shorter than the second side which is 3 inches shorter
than the longest side. If the perimeter of the triangle is 31 inches, how long is the
shortest side?
One side (shorter): n
Second side: n+5
Largest side: n+8
Equaion: 3n+12=31
Answer: 6 inches