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Date:
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Algebra Module 1, Topics C(2) and D
TEST REVIEW ASSIGNMENT
1. The only coins that Alex has are nickels and quarters. His coins have a total value of $2.40. He
has a total of 20 coins. Which ONE of the following systems of equations can be used to find the
number of nickels n and the number of quarters q that Alex has?
a.
𝑛 + 𝑞 = 2.40
0.5𝑛 + .25𝑞 = 20
c.
𝑛 + 𝑞 = 2.40
0.05𝑛 + 0.25𝑞 = 20
b.
𝑛 + 𝑞 = 20
0.5𝑛 + 0.25𝑞 = 2.40
d.
𝑛 + 𝑞 = 20
0.05𝑛 + 0.25𝑞 = 2.40
2. Given the following situation:
Seattle vans rents vans for tourists to use on sightseeing tours. Each van can hold at most 10
people. The maximum weight the van can carry is 1400 pounds. Assume the average adult
weighs 165 pounds and the average child weighs 75 pounds.


Write a system of inequalities to represent the situation.
Define your variable(s).
3. Given the graph and the two inequalities shown, select the correct symbol from the box, and use
it to fill in the missing symbol in each inequality so that the system will match the graph. (2 pts)
𝑦
𝑥−2
𝑦
<
−𝑥+4
>
≤
≥
4. Graph the following system of inequalities:
𝑦 ≥ 𝑥−5
𝑦 ≤ −1
𝑥 > −2
5. Find the y-coordinate of the solution for this system of equations:
𝑥 = 3𝑦 + 2
𝑦 − 10 = 𝑥
a) 𝑦 = −16
b) 𝑦 = −6
c)
𝑦=6
d) 𝑦 = 16
6.
Solve the following system of equations:
3𝑥 − 𝑦 = 3
−𝑥 + 2𝑦 = 16
7.
A sales clerk’s daily earnings include $325 per day, plus a commission equal to 𝑥% of the daily
sales.
a) One day, the clerk’s daily sales are $2000 and his total earnings for that day are $425.
Write an equation that can be used to find the commission percentage(𝑥).
b) What is the clerk’s commission percentage?
8.
Given this situation:
The guidelines for a class sizes at a local high school state that there must be at least
10 students in each class, but no more than 30 students in each class.
Complete the table:
Define the variable
Write a compound
inequality
Show on a number line
9.
A rectangular garden measuring 10 feet by 20 feet has a gravel pathway that forms a
rectangular border around the garden. There is enough gravel to cover 80 square feet.
a) Write an inequality that represents all possible widths (w) of the gravel pathway.
b) Select the values that could represent the width of the pathway of the driveway.
1 foot
1.5 feet
2 feet
2.5feet
10. Meg has $87, and Carol has $27. How much money will Carol have to give to Meg in order for
Meg to have half as much money as Carol?
11. A school is having sweatshirts printed. Company A charges $125 to set up the printing, and
then $25 per sweatshirt. Company B charges $200 to set up the printing and then $10 per
sweatshirt.

Write equations that show the cost, 𝐶, of buying T-shirts from each store.

Graph both equations on coordinate axes with labels and scales.
Equations: (1 pt ea)