Linear Inequality Test Review

Name_____________________________________________________Date______________________Period______
Algebra 1 – Bowling, Cawthon, Fletcher, Skiles
Linear Inequality Test Review
Graph the following linear inequalities.
1.
2.
4.
3.
5.
6. Which of the following is not a solution for
?
7. Which of the following is a solution for
?
A)
B)
C)
D)
A)
B)
C)
D)
(4, 0)
(0, -3)
(0, 0)
(3, -5)
(4, -2)
(-1, 0)
(-3, 1)
(0, 5)
8. Which of the following is a solution
for the system below?
9. Which of the following is a solution for the
system below?
A. (6, 2)
B. (-4, -3)
C. (2, 0)
D. (1, 0)
10. Which of the following linear inequalities
Is equivalent to:
?
A.
B.
C.
D.
12. Which of the following points is not
a solution to the graph below?
1. (-7, 2)
2. (-4, -6)
3. (0, 0)
4. (4, -1)
A. 2 and 4
B. 2 and 3
C. only 3
D. 1, 2, 3, and 4
11. Martha is buying new clothes for the school year.
She needs 2 new pair of jeans, x, and 4 new shirts,
y. If Martha can spend at most $75, which
inequality best models this situation?
A.
B.
C.
D.
13. Which of the following is a solution to the graph
below?
A. (-4, 3)
B. (0, 4)
C. (-5, 1)
A. (0, 3)
B. (0, 2)
C. (6, 5)
D. (4, -2)
D. (6, 2)
14. Which of the following is the correct system for the graph?
A. x < 2
y > -3
B. x > 2
y<3
C. x < -2
y > -3
D. x < 2
y>3
15. Which of the following is true about the graph of 6x – y < 10
A. The shading is above a solid line.
B. The shading is below a solid line.
C. The shading is above a dashed line.
D. The shading is below a dashed line.
16. Marc has to earn more than 1100 points to earn an A in his history class. So far Marc has earned
400 points and earns 50 points per homework and 100 points per exam. Write an inequality that can
be used to find the number of homeworks, x, and the number of exams, y.
A. 400 + 50y + 100x > 1100
B. 400 + 50x + 100y > 1100
C. 400x + 50y + 100 < 1100
D. 400 + 50x + 100y >1100
17. Which of the following inequalities is equivalent to:
A.
B.
C.
D.
8x – 4y > 12
18. Korry has saved at most $30 to buy snacks at the movies. Sodas cost $5.50 and popcorns cost
$7.25. If 5.50x + 7.25y < 30 represents the number of sodas, x, and popcorns, y, he can buy, which set
of options is within his budget?
A. 3 sodas and 4 popcorns
B. 4 sodas and 2 popcorns
C. 2 sodas and 5 popcorns
D. 4 sodas and 1 popcorn
19. Which of the following is the system graph below?
A. y > -3x – 2
y < -x + 5
B. y > -3x + 2
y<x–5
C. y > -3x + 5
y<x–2
D. y > -3x + 5
y<x–2
20. Which of the following is true about the graph of:
A. The shading is above a solid line.
B. The shading is below a solid line.
C. The shading is above a dashed line.
D. The shading is below a dashed line.