Download Ch. 7 Review Answer Section

Ch. 7 Review
Answer Section
1. ANS:
STA:
KEY:
2. ANS:
STA:
KEY:
NOT:
3. ANS:
A
PTS: 1
DIF: Level B
REF: MALG0995
OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.1 Solve Linear Systems by Graphing
linear | word | system
BLM: Application NOT: 978-0-618-65612-7
A
PTS: 1
DIF: Level B
REF: MALG1002
OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.1 Solve Linear Systems by Graphing
linear | three-equation | equation | word | system | three-variable
978-0-618-65612-7
y
10
–10
10
x
–10
PTS: 1
DIF: Level B
REF: MALG0987
TOP: Lesson 7.1 Solve Linear Systems by Graphing
BLM: Knowledge NOT: 978-0-618-65612-7
4. ANS:
STA: OK.PASS.MTH.06.AL1.2.4
KEY: linear | graph | equation | system
PTS: 1
DIF: Level B
REF: MALG0989
TOP: Lesson 7.1 Solve Linear Systems by Graphing
BLM: Knowledge NOT: 978-0-618-65612-7
5. ANS:
(–3, 0)
STA: OK.PASS.MTH.06.AL1.2.4
KEY: graph | system
PTS: 1
DIF: Level B
REF: MALG0993
TOP: Lesson 7.1 Solve Linear Systems by Graphing
BLM: Knowledge NOT: 978-0-618-65612-7
6. ANS:
A.
STA: OK.PASS.MTH.06.AL1.2.4
KEY: graph | solve | system
B.
C. 5 rides
PTS: 1
DIF: Level B
REF: MALG0994
TOP: Lesson 7.1 Solve Linear Systems by Graphing
BLM: Application NOT: 978-0-618-65612-7
7. ANS:
STA: OK.PASS.MTH.06.AL1.2.4
KEY: word | system | linear
Al's Auto Shop is cheaper for 2 hours of work.
Edna's Engine Repair is cheaper for 3 hours of work.
PTS: 1
DIF: Level B
REF: MALG1008
TOP: Lesson 7.1 Solve Linear Systems by Graphing
KEY: solve | equation | word | system | linear | graph
NOT: 978-0-618-65612-7
8. ANS:
(–3, –6)
STA: OK.PASS.MTH.06.AL1.2.4
PTS:
TOP:
KEY:
NOT:
9. ANS:
1
DIF: Level A
REF: MALG1009
Lesson 7.2 Solve Linear Systems by Substitution
linear | solve system | variable(2) | substitution
978-0-618-65612-7
STA: OK.PASS.MTH.06.AL1.2.4
PTS: 1
DIF: Level B
REF: MALG1015
TOP: Lesson 7.2 Solve Linear Systems by Substitution
BLM: Knowledge NOT: 978-0-618-65612-7
10. ANS:
Sample Acceptable Response:
STA: OK.PASS.MTH.06.AL1.2.4
KEY: solve | system | substitution
BLM: Application
BLM: Knowledge
by substitution:
c = 3(13) = 39 children
PTS: 1
DIF: Level B
REF: MALG1019
TOP: Lesson 7.2 Solve Linear Systems by Substitution
BLM: Application NOT: 978-0-618-65612-7
11. ANS:
14, 39
STA: OK.PASS.MTH.06.AL1.2.4
KEY: linear | word | system
PTS: 1
DIF: Level B
REF: MALG1023 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.2 Solve Linear Systems by Substitution
KEY: equation | word | system | sum | linear | problem | age
BLM: Application
NOT: 978-0-618-65612-7
12. ANS:
a. Letting c = total cost and n = number of persons attending, the equation for the Blue Room restaurant is
and the equation for the Wagon Wheel restaurant is
.
b. The Wagon Wheel is the better choice if fewer than 38 people are expected to attend, while the Blue Room
is cheaper for more than 38 people. (The costs are the same if exactly 38 people attend.)
PTS: 1
DIF: Level B
REF: MALG1030 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.2 Solve Linear Systems by Substitution
KEY: word | linear equation | cost | compare
BLM: Application
NOT: 978-0-618-65612-7
13. ANS:
The error is in the use of the distributive property in the second line of the solution. Due to the subtraction,
must be distributed over the quantity
and the next line must be
. The remaining
steps are:
Solution:
PTS: 1
DIF: Level B
REF: MALG1014
STA: OK.PASS.MTH.02.9-12.2.1 | OK.PASS.MTH.02.9-12.2.2 | OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.2 Solve Linear Systems by Substitution
KEY: solve | equation | word
BLM: Comprehension
NOT: 978-0-618-65612-7
14. ANS:
Sample answer:
and
PTS: 1
DIF: Level B
REF: MALG1029
TOP: Lesson 7.2 Solve Linear Systems by Substitution
KEY: line | intersect | equation | system
BLM: Comprehension
NOT: 978-0-618-65612-7
15. ANS:
(–1, –2)
PTS: 1
DIF: Level A
REF: MALG1031 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: linear | unique | solve | equation | system
BLM: Knowledge
NOT: 978-0-618-65612-7
16. ANS:
PTS: 1
DIF: Level A
REF: MALG1035 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: elimination | linear system
BLM: Knowledge NOT: 978-0-618-65612-7
17. ANS:
(–3, –5)
PTS: 1
DIF: Level B
REF: MAL20355
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: solve | system | substitution | linear BLM: Knowledge NOT: 978-0-618-65612-7
18. ANS:
(–6, 3)
PTS: 1
DIF: Level A
REF: MALG1033 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: linear system | solve
BLM: Knowledge NOT: 978-0-618-65612-7
19. ANS:
(3, –8)
PTS: 1
DIF: Level B
REF: MAL20360 NAT: NCTM 9-12.ALG.2.b |
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: solve | system | linear equation
BLM: Knowledge NOT: 978-0-618-65612-7
20. ANS:
The solution is (1, 25).
PTS:
STA:
TOP:
KEY:
BLM:
21. ANS:
1
DIF: Level B
REF: A1.07.03.FR.04
OK.PASS.MTH.06.AL1.2.4
Lesson 7.3 Solve Linear Systems by Adding or Subtracting
Free response | elimination with subtraction | linear system
Comprehension
NOT: 978-0-618-65612-7
PTS: 1
DIF: Level B
REF: 7ef17e44-cdbb-11db-b502-0011258082f7
TOP: Lesson 7.3 Solve Linear Systems by Adding or Subtracting
KEY: Linear system | elimination | word problem
BLM: Application
NOT: 978-0-618-65612-7
22. ANS:
(3, –3)
PTS: 1
DIF: Level B
REF: MALG1038
TOP: Lesson 7.4 Solve Linear Systems by Multiplying First
BLM: Knowledge NOT: 978-0-618-65612-7
23. ANS:
(–7, 2)
KEY: solve | system | linear combination
PTS: 1
DIF: Level B
REF: MALG1039 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.4 Solve Linear Systems by Multiplying First
KEY: linear system | solve
BLM: Knowledge NOT: 978-0-618-65612-7
24. ANS:
Sample answer: I would use subtraction to solve the system of equations, subtracting the second equation
from the first equation. This step will eliminate the variable y and then I can solve the resulting equation for x.
Since x=3, then
and
Then the solution to the system of equations is (3, 0)
PTS: 1
DIF: Level B
REF: MALG1052 STA: OK.PASS.MTH.06.AL1.2.4
TOP: Lesson 7.4 Solve Linear Systems by Multiplying First
KEY: linear system | solve
BLM: Comprehension
NOT: 978-0-618-65612-7