Name
Date
Period
Review Worksheet: Module 1, Topic D Creating Equations to Solve Problems
1.
Tim has daily earnings that include $220 per day, plus a commission equal to 𝑥% of the daily
sales.
a) One day, Tim’s daily sales are $1600 and his total earnings for that day are $300. Write an
equation that can be used to find the commission percentage (𝑥). (2 pts)
b) What is Tim’s commission percentage? (1 pt)
2.
Dixie earns $145 per day, plus a commission of 6% of the daily sales.
c) One day, Dixie earned a total of $235. Write an equation that can be used to find Dixie’s
daily sales. (2 pts)
d) What were Dixie’s daily sales? (1 pt)
3.
Given this situation:
The Energy Saving Trust says that the most efficient speed you can travel in a car in terms of
achieving the best fuel economy is between 55 and 65mph.
Complete the table (3 pts):
Define the variable
Write a compound
inequality
Show on a number line
Name
4.
Date
Period
A tennis court measuring 36 feet by 78 feet needs a painted rectangular border to completely
surround it. There is enough paint to cover 450 square feet.
a) Write an inequality that represents all possible widths (w) of the painted border. (2 pts)
b) Select the values that could represent the width of the border of the tennis court. (4 pts)
1 foot
1.5 feet
2 feet
2.5 feet
5.
Bob has $16, and Lori has $68. How much money will Lori have to give to Bob in order for Bob
to have half as much money as Lori? (1 pt)
6.
A school is having posters printed. Company A charges $50 to set up the printing, and then
$10 per poster. Company B charges $80 to set up the printing and then $2.50 per poster.
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Write equations that show the cost, 𝐶, of buying posters from each store.
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Graph both equations on coordinate axes with labels and scales. (3 pts)
For what interval would it be better to go with Company A?
For what interval would it be better to go with Company B?
When is the cost the same?
Equations: (1 pt ea)