NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 6 Test, Form 1
SCORE ______________
Write the letter for the correct answer in the blank at the right of each question.
Use the graph for Questions 1-4.
1. The ordered pair (3, 2) is the solution of which system
of equations?
1
1
A y = – 3x + 3
C y = – 3x + 3
y = –3x + 2
y = 2x –4
By=–
1
x
3
D y = –3x + 2
+3
1. _______________
y = 2x – 4
y = 2x
For Questions 2-4, find how many solutions exist for each system of equations.
F no solution
G infinitely many solutions
H one solution
J cannot be determined
2. y = 2x
y = 2x – 4
4. y = –3x + 2
y = 2x
3. y = 2x
y – 2x = 0
2. _______________
3. _______________
4. _______________
r=4–t
3r + 2t = 15
5. When solving the system of equations, which expression
could be substituted for r in the second equation?
4
A4–t
B4–r
Ct–4
D𝑡
5. _______________
6. If x = 2 and 3x + y = 5, what is the value of y?
F0
G –1
H 11
n = 3m –11
2m + 3n = 0
7. Use substitution to solve the system
of equations.
A (–2, 3)
B (–3, 2)
C (3, –2)
G (4, –1)
H (–4, 1)
9. Use elimination to solve the system
of equations.
A (1, 4)
B (4, 1)
G 10
J (–4, –1)
C (–1, –4)
H4
D (–4, –1)
Chapter 6
B9
8. _______________
C 22
9. _______________
2x + 2y = 10
2x – 3y = 5
10. ______________
J –2
11. To eliminate the variable y in the system of equations,
multiply the second equation by which number?
A3
7. _______________
x + 6y = 10
x + 5y = 9
10. Use elimination to find the value of x in
the solution for the system of equations.
F1
D (2, –3)
x–y=5
x+y=3
8. Use elimination to solve the system
of equations.
F (4, 1)
6. _______________
J 10
6x + 4y = 22
2x – y = 1
D4
51
11. ______________
Glencoe Algebra 1
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 6 Test, Form 1 (continued)
For Questions 12 and 13, determine the best method to solve the system of equations.
A substitution
C elimination using subtraction
B elimination using addition
D elimination using multiplication
12. 5x – 2y = 4
2x + 2y = 8
12. ______________
13. y = 3x + 12
2x + y = 16
13. ______________
14. The length of a rectangle is three times the width. The sum of the length and the width is
24 inches. What is the length of the rectangle?
F 3 inches
G 6 inches
H 9 inches
J 18 inches
14. ______________
15. An airport shuttle company owns sedans that have a maximum capacity of 3 passengers
and vans that have a maximum capacity of 8 passengers. Their 12 vehicles have a
combined maximum capacity of 61 passengers. How many vans does the company own?
A5
B8
C 12
D7
15. ______________
For Questions 16 and 17, use the graph.
16. What is a solution to the system of inequalities?
A (0, 2)
C (1, 1)
B (0, 0)
D (2, 4)
16. ______________
17. What system of inequalities is represented?
Fy<x+2
y ≤ –x + 1
Gy>x+2
y ≤ –x + 1
Bonus Determine the best method to solve
the system of equations. Then solve
the system.
Chapter 6
Hy>x+2
y ≥ –x + 1
Jy<x+2
y ≥ –x + 1
17. ______________
x – 3y = 0
2x – 7y = 0
B. ______________
52
Glencoe Algebra 1