Algebra 1 8.1 Pre-test Worksheet
8.1: Graph systems of linear inequalities
1. Represent the following system of inequalities on the graph below (5 points).
5
𝑦 ≤ −2𝑥 − 3
1
𝑦 < 2𝑥 + 3
2. Represent the following system of inequalities on the graph below (5 points).
4𝑥 + 𝑦 > 3
𝑥−𝑦 ≤ 2
2013-2014 revise rr
Algebra 1 8.1 Pre-test Worksheet
3. Which of the following points is a solution to the system? Show ALL work in the box
𝑦 ≤𝑥+2
provided (2 pts):
1
𝑦 ≥− 𝑥−2
3
o A. (2, 0)
o B. (1, -4)
o C. (2, 5)
o D. (-5, 3)
4. You can work a total of no more than 40 hours each week at your jobs. Your
housecleaning job pays $5 per hour and your sales job pays $8 per hour. You need
to earn at least $254 each week to pay your bills.
a. Write a system of inequalities for this situation, where x represents the
number of hours doing housecleaning and y represents the number of hours
at sales job. (4 points).
b. Which of the following combinations of hours spend at each job would allow
you to pay your bills? (2 points).
o A. 22 hrs. housecleaning, 18 hrs. sales job
o B.
25 hrs. housecleaning, 15 hrs. sales job
o C.
23 hrs. housecleaning, 17 hrs. sales job
o D. 24 hrs. housecleaning, 16 hrs. sales job
2013-2014 revise rr