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NAME ____________________________________________ DATE ____________________________ PERIOD _____________
Unit 5 Review
Write the letter for the correct answer in the blank at the right of each question.
Use the graph for Questions 1-4.
For Questions 1 and 2, determine how many
solutions exist for each system of equations.
A no solution
B one solution
C infinitely many solutions
D cannot be determined
1. y = 3x + 3
3x – y = 2
1. ________________
2. x + 2y = –1
2x + 3y = 0
2. ________________
3. The solution to which system of equations has an x value of 3?
F x + 2y = –1
G 3x – y = 2
H y = 3x + 3
y = 3x + 3
x + 2y = –1
2x + 3y = 0
J 2x + 3y = 0
x + 2y = –1
3. ________________
4. The solution to which system of equations has a y value of 0?
A x + 2y = –1
B 3x – y = 2
C y = 3x + 3
y = 3x + 3
x + 2y = –1
2x + 3y = 0
D 2x + 3y = 0
x + 2y = –1
4. ________________
5. When solving the system of equations,
which expression could be substituted
for x in the second equation?
F 15 – 2y
G 21 – 5x
J
x + 2y = 15
5x + y = 21
H
!" ! !
!
6. If x = 2y + 3 and 4x – 5y = 9, what is the value of y?
A2
B1
C –1
!" ! !!
!
5. ________________
D –2
6. ________________
7. Use elimination to solve the system x + 7y = 16 and 3x – 7y = 4 for x.
F3
G4
H5
J –6
7. ________________
8. Use elimination to solve the system x – 5y = 20 and x + 3y = –4 for x.
A5
B –3
C 10
D –40
8. ________________
9. Use elimination to solve the system 8x – 7y = 5 and 3x – 5y = 9 for y.
F –2
G8
H –3
J –1
9. ________________
10. Use elimination to solve the system 4x + 6y = 10 and 2x + 5y = 1 for x.
!
!
A 11
B5
C –2
D–
10. _______________
11. The substitution method should be used to solve which system of equations?
F 4x + 3y = 6
G 2x + 5y = 1
H 6x + 2y = 1
J y = 3x + 1
5x – 3y = 2
2x – 3y = 4
3x + 4y = 7
2x + 4y = 5
11. _______________
!
!
12. Use substitution to solve the system x + 2y = 1 and 2x + 5y = 3.
A (–1, 1)
B (1, –1)
C (–5, 3)
For Questions 13 and 14, solve the system and find values of y.
!
13. 3x – 5y = –35
F4
G
H –4
!
2x – 5y = –30
14. 3x + 4y = –30
2x – 5y = 72
A –6
B6
C –12
15. What system of inequalities is represented in the graph?
F y < –2x + 1
!
y≤ x–1
H y < –2x + 1
!
y≥ x–1
G y > –2x + 1
!
y≤ x–1
J y > –2x + 1
!
y≥ x–1
!
!
!
!
D (–1, –1)
J–
!
12. _______________
!
13. _______________
D 12
14. _______________
15. _______________