Name: __________________________________ Per: ________ Systems of Equations and Inequalities Review (Vegan)
 YOU MUST SHOW WORK ON ALL QUESTIONS TO RECEIVE CREDIT 
1. Graph the inequality.
I am the one whom watches. – Abe
2. Graph the system of equations.
State the solution below (as a point).
y = –2x and y = x + 3
1
y≤ x+1
4
3. Graph the system of inequalties.
State any one solution below (point).
1
y ≤ x + 2 and y > 2x – 1
2
Solution (
-6
-4
-2
,
)
Solution (
6
6
6
4
4
4
2
2
2
0
-2
2
4
6
-6
-4
-2
0
-2
2
4
6
-6
-4
-2
0
-2
-4
-4
-4
-6
-6
-6
,
)
2
4
6
4. Tell whether the system has one 5. Choose the point that is a solution 6. Choose which inquality is shown in
solution, no solution, or infinite to the inequality below.
the graph below.
solutions.
Hint: Plug it in!
Circle One
y = –3x – 1
y = –3x – 9
2y + 2 > –10x + 2
1
A) y < x + 3
2
1
B) y ≥ x + 3
2
1
C) y > x + 3
2
1
D) y ≤ x + 3
2
Circle One
A) One Solution
Circle One
B) No Solutions
A) (–2 , –2)
C) (2 , 4)
C) Infinite Solutions
B) (1 , –10)
D) (–10 , –1)
7. Write THREE coordinates or points
that are solutions to the system of
inequalties to the right.
Solution (
,
)
Solution (
,
)
Solution (
,
)
Note: When solving a system Algebraically, you may use Elimination or Substitution. The solution will be a coordinate.
8. Solve the system ALGEBRAICALLY.
9. Solve the system ALGEBRAICALLY.
10. Solve the system ALGEBRAICALLY.
y = 4x + 10
y = 2x + 8
2x + y = 1
4x – y = 17
5x + 2y = 12
y=x–1
Solution (
,
)
11. Solve the system ALGEBRAICALLY.
Solution (
,
)
Solution (
,
)
x + 3y = 9
5x + 9y = 21
Solution (
,
)
Note: When solving a system Algebraically, you may use Elimination or Substitution. The solution will be a coordinate.