Name: ______________________________________________________ Date: ____________________________ Period: ______
Algebra 1 Unit 4 Practice Test
Systems of Equations and Inequalities
Part 1: Solve the systems of equations by graphing and state whether the system is independent, dependent, or
inconsistent.
2
1.
𝑦 = 3𝑥 − 3
2.
5
𝑦 = −𝑥 + 4
𝑥+𝑦 =1
𝑦 = −3𝑥 + 4
Part 2: Solve the following systems of equations algebraically. (That is, use either substitution or elimination
depending on what the problem calls for). Then say whether the system is independent, dependent, or
inconsistent.
3.
−7𝑥 − 𝑦 = −9
𝑥 = −2𝑦 + 5
4.
−4𝑥 − 2𝑦 = −12
𝑦 = −2𝑥 + 6
5.
7𝑥 − 14𝑦 = −14
6𝑥 − 7𝑦 = 8
6.
3𝑥 + 10𝑦 = −2
9𝑥 + 7𝑦 = −29
Part 3: Solve the following system of equations word problems.
7. MSA is selling tickets to a spring show. On the first day of ticket sales the school sold one adult ticket and
three student tickets for a total of $20. The school took in $25 on the second day by selling two adult tickets and
one student ticket. Find the price of an adult ticket.
8. You have 17 coins in your wallet and they are all quarters and nickels. Altogether you have $2.05. How many
quarters do you have?
Part 4: Graph the following systems of inequalities. Then say whether the following points are solutions to the
system or not.
1
9.
a.
b.
c.
d.
𝑦 ≤ 2𝑥 + 3
𝑦>
−5
𝑥
2
𝑦≤𝑥+2
𝑦 > 6𝑥 − 3
−3
(0, 0) ___________
(2, 4) ___________
(0, -3) __________
(6, 0) ___________
Part 5: Write the system of inequalities shown below:
11.
10.
a.
b.
c.
d.
(0, 0) ___________
(2, 4) ___________
(1, 3) ___________
(-2, 0) __________