Alg 2: Chapter 3 Practice Test
1. Tell how many solutions the linear
system has: infinitely many
solutions, one solution, or no
solutions: 3x –y = -6
3x – y = 14
A. Infinitely many
B. One solution
C. No solution
2. Is (-4, 1) a solution to -4x + 3y=19
5x – 7y= -27?
7. Which ordered pair is NOT a solution to
the system? Y ≤ -x + 4
Y ≥ ½ x -2
A.
B.
C.
D.
(0, 2)
(1, 3)
(-2, 2)
(-1, -1)
8. Find the maximum value of C under the
constraints: C= -2x + 3y
Constraints: x ≥-4
3. Is (0,2) a solution to 17x + 8y=16
-x – 4y=8 ?
4. Tell how many solutions the linear
systems has: infinitely many
solutions, one solution, or no
solutions: 6x -2y = -2
-3x – 7y = 17
A. Infinitely many
B. One solution
C. No solution
5. Solve the liner system: -3x -5y = -23
2x – 4y = -14
A. (1, 4)
B. (4, -1)
C. (1, -4)
D. (-4, -1)
6. Solve the linear system: 5x + 6y = -9
-x – 8y = -5
A. (1,3)
B. ( 3, -1)
C. (-3, 1)
D. no solution
X≤3
Y ≥ -1
Y≤2
A. -6
B. 2
C. 10
D. 14
9. Which number is NOT a solution to
-3 < 2x + 5 < 7
A. 0
B. 1/3
C. -4
D. -2
10. Which of the ordered pairs is NOT a
solution to x < -y + 3
A. (-3, 5) B. (-4, 7) C. (6, -7) D. (0, 1)
11. Which of the ordered pairs is NOT a
solution of the following system of linear
inequalities? Y ≤ -x + 4
Y ≥ ½ x -2
A. (0, 2) B. (1, 3) C. (-2, 2) D. (3, 2)
Alg 2: Chapter 3 Practice Test
SOLVE:
12. │x-1│ > 2
13. │x + 8│ ≥ -3
14. -5 ≤ 3x -6 ≤ 7
19. What does the 3 tell us about this
graph? Y = -2 │x -3│ + 7?
A. shifts up
B. shifts down
C. shifts right
D. shifts left
GRAPH:
20. y = -3│x-1│ +2
15. x -4 ≤ 3 or x -1 ≥ 15
21. –y ≥ -2x + 6
22. 2x -4y ≤ 12
16. Is x = -7 as solution of the inequality
5x -7 ≤ 3(x – 7)?
GRAPH THE FOLLOWING SYSTEMS:
23. 5x + y ≤ 5
X≥1
17. Write the equation of a line, in slopeintercept form, that passes through the
point (-3, 2) and is parallel to the line x-y=7.
Y<4
24. y ≥ -3x -1
Y<x+2
GRAPH THE SYSTEM AND ESTIMATE THE
SOLUTION:
18. Write the equation of a line, in
standard form, that passes through the
point ( 1, 4) and is perpendicular to the line
y = -3x + 1.
25. x + 5y = -12
X – 5y = 8
26. 3x – y = 12
-x + 8y = -4
Alg 2: Chapter 3 Practice Test
SOLVE THE LINEAR SYSTEM ANY METHOD
YOU CHOOSE:
27. 2x – y = 7
Y = 2x + 8
28. 7x + y = 10
3x – 2y = -3
29. 3x – y = 4
-9x + 3y = -12
30. 7x – 4y = -3
2x + 5y = -7