Name:_____________________________________ Date:________________
Unit 5 Test Review
Systems of Equations
1. How many solutions do the graphs below have?
0
1
Infinite
0
1
Infinite
0
1
Infinite
2. What is the solution to the following system of equations?
_____________
______________
_____________
3. Which figure represents both linear functions that make up the equation below?
𝑦 = 𝑥 + 3 𝑎𝑛𝑑 𝑦 = 𝑥 − 2
Name:_____________________________________ Date:________________
Solve the following systems of equations.
Real World Application of Systems of Equations
Name:_____________________________________ Date:________________
Systems of Inequalities
1. Which graph best represents the solution to this system of inequalities?
𝑥≥𝑦
− 𝑦< 𝑥+ 3
a.
b.
2. Which inequality best represents the graph?
a.
b.
c.
d.
𝑦≤ −
𝑦≥ −
𝑦 <−
𝑦 >−
𝑥
𝑥
𝑥
𝑥
+
−
−
+
1
1
1
1
3. Which points are NOT part of the solution set for the
given graph? (Choose all that apply)
a.
b.
c.
d.
e.
(0, 0)
(-5, 5)
(5, -5)
(8, 0)
(0, 8)
c.
Name:_____________________________________ Date:________________
Shade the solution set to each system of inequalities.
3. Identify all the solutions to the graph of the inequality given.
a.
b.
c.
d.
e.
f.
(0, 0)
(3, 5)
(5, 3)
(-3, -5)
(-2, 1)
(-3, 5)
Use a system of inequalities to solve the problem.
1) Patrick washes cars and motorcycles. He changes $6 per car and $3 per motorcycle. He earns no more
than $24 per week. Which graph best represents this situation?