Chapter 5 Test B
Solve the system of linear equations by graphing.
1.
2.
3.
4.
Solve the system of linear equations by substitution. Check your solution.
5.
6.
7.
8. There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5 : 1.
How many pens are red? How many pens are blue?
9. There are 31 fish in a tank. The fish are either orange or red. There are 7 more orange fish than half the
number of red fish. How many fish are orange? How many fish are red?
10. The measure of
measure of ?
is 30 degrees less than twice the measure of
. What is the measure of
Solve the system of linear equations by elimination. Check your solution.
11.
12.
13.
? What is the
Without graphing, determine whether the system of linear equations has one solution, infinitely many
solutions, or no solution. Explain your reasoning.
14.
15.
16.
Use a graph to solve the equation. Check your solution.
17.
18.
19.
20.
21. One week you spent $24 on 6 subway tickets and 4 express bus tickets. The next week you spent $27 on 3
subway tickets and 7 express bus tickets. How much will it cost you to buy 5 subway tickets and 2 express
bus tickets this week?
22. The weight of 3 identical containers holding a total of 9 gallons of fertilizer is 70.8 pounds. The weight of 5
of the containers holding a total of 15 gallons of fertilizer is 118.0 pounds. Can you determine the weight of
each container? Explain.
Chapter 5 Test B
Answer Section
1. ANS:
(–3, 0)
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
2. ANS:
(3, 3)
NAT: 8.EE.8a | 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
3. ANS:
(1, 1)
NAT: 8.EE.8a | 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
4. ANS:
(3, 1)
NAT: 8.EE.8a | 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
5. ANS:
(3, 6)
NAT: 8.EE.8a | 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | substitution method
6. ANS:
(1, 6)
NAT: 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | substitution method
7. ANS:
(–3, 3)
NAT: 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | substitution method
8. ANS:
20 red pens; 4 blue pens
NAT: 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 2
KEY: system of linear equations
9. ANS:
15 orange fish; 16 red fish
REF: Ch 5 Test B
MSC: Application
NAT: 8.EE.8b | 8.EE.8c
PTS: 1
DIF: Level 2
KEY: system of linear equations
10. ANS:
;
REF: Ch 5 Test B
MSC: Application
NAT: 8.EE.8b | 8.EE.8c
PTS: 1
DIF: Level 2
KEY: system of linear equations
11. ANS:
(–1, –5)
REF: Ch 5 Test B
MSC: Application
NAT: 8.EE.8b | 8.EE.8c
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | elimination method
12. ANS:
(4, 10)
NAT: 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | elimination method
13. ANS:
(–1, –8)
NAT: 8.EE.8b | 8.EE.8c
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B NAT: 8.EE.8b | 8.EE.8c
KEY: system of linear equations | elimination method
MSC: Knowledge
14. ANS:
one solution; The two equations represent lines with different slopes. Because the two lines have different
slopes, they are not parallel and must intersect at a point.
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations
MSC: Knowledge
15. ANS:
infinitely many solutions; The two equations are equivalent.
NAT: 8.EE.8b | 8.EE.8c
PTS: 1
DIF: Level 1
REF: Ch 5 Test B NAT: 8.EE.8b | 8.EE.8c
KEY: system of linear equations
MSC: Knowledge
16. ANS:
no solution; The two equations represent lines with the same slope but different y-intercepts.
PTS: 1
DIF: Level 1
KEY: system of linear equations
17. ANS:
REF: Ch 5 Test B
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
18. ANS:
NAT: 8.EE.8b | 8.EE.8c
NAT: 8.EE.8b | 8.EE.8c | 8.EE.8a
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
19. ANS:
infinitely many solutions
NAT: 8.EE.8b | 8.EE.8c | 8.EE.8a
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
20. ANS:
NAT: 8.EE.8b | 8.EE.8c | 8.EE.8a
MSC: Knowledge
PTS: 1
DIF: Level 1
REF: Ch 5 Test B
KEY: system of linear equations | graphing method
21. ANS: $16
NAT: 8.EE.8b | 8.EE.8c | 8.EE.8a
MSC: Knowledge
PTS: 1
DIF: Level 2
REF: Ch 5 Test B NAT: 8.EE.8b | 8.EE.8c
KEY: system of linear equations
MSC: Application
22. ANS:
no; The system of equations that represents the situation has an infinite number of solutions, so the weight of
each container cannot be determined.
PTS: 1
DIF: Level 2
KEY: system of linear equations
REF: Ch 5 Test B
MSC: Application
NAT: 8.EE.8b | 8.EE.8c