ch 6 review (6.1-6.5)
1. Connie takes at least 47 seconds, s, to recite a poem. Write and graph an inequality to describe this situation.
2. Jack can run a mile in less than 6.5 minutes. Write and graph an inequality to describe this statement.
3. Write the inequality illustrated by the graph below.
4. A bridge has a single lane and is 112 feet long. The weight limit for the bridge is 18 tons. Each car that might
be on the bridge is 8.2 feet long and weighs 1.3 tons. Each truck is 15 feet long and weighs 2.5 tons.
a. Write an inequality you could use to find the number of trucks t that can fit on the bridge when there are 10
cars in the bridge.
b. Solve the inequality from part (a) to find the number of trucks that can fit on the bridge. Will the weight
limit be exceeded? Explain.
5. In order to collect a salary bonus, baseball player Tony Jones must get at least 300 hits this season. In the
second to last week of the season, Tony started with 272 hits and got 22 more. Write and solve an inequality
that describes how many hits Tony must get in the season's last week.
Solve and graph.
____
6.
a.
0
2
4
6
8
10
0
2
4
6
8
10
0
2
4
6
8
10
b.
c.
d.
0
____
2
4
6
8
10
7. Lev earns $5.65 per hour working after school. He needs at least $245 for a stereo system. Write and solve an
inequality that describes how many hours he must work to reach his goal.
a.
b.
c.
d.
Solve the inequality. Then identify the solution of the inequality.
____
8.
a.
b.
c.
d.
Solve the inequality. Then graph its solution.
9.
Solve and graph.
10.
0
2
4
6
8
10
Solve.
____ 11.
a.
b.
c.
d.
Solve the inequality.
____ 12.
. Graph your solution.
a.
–10
–5
0
5
10
–10
–5
0
5
10
–10
–5
0
5
10
–10
–5
0
5
10
b.
c.
d.
Solve and graph the inequality.
____ 13.
a.
b.
c.
d.
____ 14. Joel sells ice cream cones at the county fair. He has to rent the equipment for $36 and spend $0.52 on
ingredients for each cone. What is the minimum number of ice cream cones Joel must sell at $1.40 each in
order to make a profit?
a. 41
b. 39
c. 42
d. 40
15. Solve the inequality
.
Solve the inequality, if possible.
16.
____ 17. On a road in the city of Rochester, the maximum speed is 50 miles per hour and the minimum speed is
20 miles per hour. If x represents speed, which sentence best expresses this condition?
a.
c.
b.
d.
Solve. Graph your solution.
____ 18.
and
a.
b.
c.
d.
19.
and
20. Graph the solution to the inequality "x is greater than 3 or less than or equal to 0."
21. The cost of a box of stationery ranges from $2.05 to $2.75. Write and graph an inequality to describe this
statement.
22. Solve the inequality
Graph your solution.
23. Solve the inequality
Graph your solution.
Solve the inequality.
24.
____ 25. Solve the equation
a. no solution
b. –2
c. 2
26. The table shows values of x and y for the equation
d. 4
What is the value of y when
Solve the equation algebraically.
27.
28. Over the course of 5 games, a football team scores an average of 14 points with an absolute deviation of 4
points. What were the football team's least and greatest scores?
29. A machine that fills boxes of raisins is to fill the boxes with 16 oz of raisins. The box itself weighs 1.4 oz.
Each box is weighed, and if the weight differs from the acceptable total of raisins and the box by more than
0.2 oz, the box is rejected.
a. What equation can be used to find the acceptable maximum and minimum weights? What are these
weights?
b. Suppose one box of raisins weighs 17.6 oz and another weighs 17.1 oz. For which box is the absolute
deviation of the measured weight from the acceptable weight greater? Explain.
ch 6 review (6.1-6.5)
Answer Section
1. ANS:
PTS:
STA:
TOP:
KEY:
NOT:
2. ANS:
1
DIF: Level B
REF: MALG0857
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1
Lesson 6.1 Solve Inequalities Using Addition and Subtraction
inequality | word | discrete | graph | continuous | write
BLM: Application
978-0-618-65612-7
6.2
PTS:
STA:
TOP:
KEY:
3. ANS:
6.4
6.6
1
DIF: Level B
REF: MALG0859
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1
Lesson 6.1 Solve Inequalities Using Addition and Subtraction
inequality | graph | write
BLM: Application NOT: 978-0-618-65612-7
PTS: 1
DIF: Level A
REF: MALG0861
TOP: Lesson 6.1 Solve Inequalities Using Addition and Subtraction
KEY: inequality | interpret | graph | write BLM: Knowledge NOT: 978-0-618-65612-7
4. ANS:
a.
b.
so a maximum of 2 trucks can fit on the bridge with the 10 cars; the weight limit will not be exceeded
because
PTS: 1
DIF: Level C
REF: A1.06.01.SR.01
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.L1.1.3 |
MI.MIGLC.MTH.06.9-12.L1.1.4 | MI.MIGLC.MTH.06.9-12.L1.3.1 | MI.MIGLC.MTH.06.9-12.A1.2.3 |
MI.MIGLC.MTH.06.9-12.A1.2.4 | MI.MIGLC.MTH.06.9-12.A1.2.5 | MI.MIGLC.MTH.06.9-12.A1.2.6 |
MI.MIGLC.MTH.06.9-12.A1.2.7 | MI.MIGLC.MTH.06.9-12.A1.2.8 | MI.MIGLC.MTH.06.9-12.A1.2.9 |
MI.MIGLC.MTH.06.9-12.A2.4.1
TOP: Lesson 6.1 Solve Inequalities Using Addition and Subtraction
KEY: short response | inequality | sum
BLM: Application NOT: 978-0-618-65612-7
5. ANS:
x + 272 + 22 300
x 6 hits
PTS: 1
DIF: Level B
REF: MALG0868
6.
7.
8.
9.
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1 |
MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.1 Solve Inequalities Using Addition and Subtraction
KEY: inequality | word
BLM: Application NOT: 978-0-618-65612-7
ANS: A
PTS: 1
DIF: Level B
REF: MALG0873
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.2 Solve Inequalities Using Multiplication and Division
KEY: inequality | graph
BLM: Knowledge NOT: 978-0-618-65612-7
ANS: B
PTS: 1
DIF: Level C
REF: MALG0876
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1 |
MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.2 Solve Inequalities Using Multiplication and Division
KEY: divide | inequality | word
BLM: Application NOT: 978-0-618-65612-7
ANS: A
PTS: 1
DIF: Level B
REF: MLC30177
TOP: Lesson 6.2 Solve Inequalities Using Multiplication and Division
KEY: inequality | solve | number line
BLM: Knowledge NOT: 978-0-618-65612-7
ANS:
–10
PTS:
TOP:
KEY:
NOT:
10. ANS:
0
PTS:
STA:
TOP:
BLM:
11. ANS:
STA:
TOP:
BLM:
12. ANS:
STA:
TOP:
KEY:
NOT:
13. ANS:
STA:
TOP:
KEY:
–5
0
5
10
1
DIF: Level B
REF: MLC30838
Lesson 6.2 Solve Inequalities Using Multiplication and Division
inequality | solve | integer | graph | multiply | one-step
BLM: Knowledge
978-0-618-65612-7
2
4
6
8
10
1
DIF: Level B
REF: MALG0886
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.3 Solve Multi-Step Inequalities
KEY: inequality | graph
Knowledge NOT: 978-0-618-65612-7
B
PTS: 1
DIF: Level B
REF: MALG0896
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.3 Solve Multi-Step Inequalities
KEY: multi-step | inequality
Knowledge NOT: 978-0-618-65612-7
A
PTS: 1
DIF: Level B
REF: MALG0891
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.3 Solve Multi-Step Inequalities
graph | inequality | solve | number line
BLM: Knowledge
978-0-618-65612-7
B
PTS: 1
DIF: Level B
REF: MALG0893
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.3 Solve Multi-Step Inequalities
graph | inequality | solve | number line
BLM: Knowledge
NOT: 978-0-618-65612-7
14. ANS: A
PTS: 1
DIF: Level B
REF: MALG0907
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1 |
MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.3 Solve Multi-Step Inequalities
KEY: inequality | solve | word | money
BLM: Application NOT: 978-0-618-65612-7
15. ANS:
PTS: 1
DIF: Level B
REF: MALG0901
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.3 Solve Multi-Step Inequalities
KEY: inequality | solve
BLM: Knowledge NOT: 978-0-618-65612-7
16. ANS:
No solutions
PTS:
TOP:
BLM:
17. ANS:
STA:
KEY:
NOT:
18. ANS:
STA:
TOP:
KEY:
NOT:
19. ANS:
1
DIF: Level C
REF: 7eee96ea-cdbb-11db-b502-0011258082f7
Lesson 6.3 Solve Multi-Step Inequalities
KEY: Linear inequality
Knowledge NOT: 978-0-618-65612-7
C
PTS: 1
DIF: Level B
REF: MALG0912
MI.MIGLC.MTH.06.9-12.A1.2.1 TOP: Lesson 6.4 Solve Compound Inequalities
inequality | word | metric | condition | units
BLM: Application
978-0-618-65612-7
B
PTS: 1
DIF: Level B
REF: MALG0919
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.4 Solve Compound Inequalities
linear | inequality | solve | integer | compound
BLM: Knowledge
978-0-618-65612-7
PTS:
STA:
TOP:
KEY:
NOT:
20. ANS:
1
DIF: Level B
REF: MALG0918
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.4 Solve Compound Inequalities
inequality | solve | integer | compound | linear
BLM: Knowledge
978-0-618-65612-7
PTS: 1
DIF: Level A
REF: MALG0911
TOP: Lesson 6.4 Solve Compound Inequalities
BLM: Knowledge NOT: 978-0-618-65612-7
21. ANS:
PTS: 1
DIF: Level A
REF: MALG0914
STA: MI.MIGLC.MTH.05.8.A.FO.08.12
KEY: graph | inequality | solution
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.1
TOP: Lesson 6.4 Solve Compound Inequalities
KEY: inequality | word | graph | write
BLM: Application NOT: 978-0-618-65612-7
22. ANS:
PTS:
STA:
TOP:
BLM:
23. ANS:
1
DIF: Level A
REF: MALG0920
MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
Lesson 6.4 Solve Compound Inequalities
KEY: inequality | solve
Knowledge NOT: 978-0-618-65612-7
PTS: 1
DIF: Level B
REF: MALG0922
STA: MI.MIGLC.MTH.05.8.A.FO.08.12 | MI.MIGLC.MTH.06.9-12.A1.2.3
TOP: Lesson 6.4 Solve Compound Inequalities
KEY: inequality | solve | compound
BLM: Knowledge NOT: 978-0-618-65612-7
24. ANS:
All real numbers except
PTS:
TOP:
BLM:
25. ANS:
STA:
TOP:
KEY:
NOT:
26. ANS:
1
DIF: Level B
REF: 7f28a8c8-cdbb-11db-b502-0011258082f7
Lesson 6.4 Solve Compound Inequalities
KEY: multi-step | compound inequality
Knowledge NOT: 978-0-618-65612-7
A
PTS: 1
DIF: Level A
REF: MALG0937
MI.MIGLC.MTH.06.9-12.L1.2.2 | MI.MIGLC.MTH.06.9-12.A1.2.4
Lesson 6.5 Solve Absolute Value Equations
absolute value | solve | integer | equation
BLM: Knowledge
978-0-618-65612-7
PTS: 1
DIF: Level B
REF: MALG0945
TOP: Lesson 6.5 Solve Absolute Value Equations
KEY: equation | function | table | pattern
BLM: Comprehension
NOT: 978-0-618-65612-7
27. ANS:
x = 7, x = –1
PTS: 1
DIF: Level B
REF: MALG0944
STA: MI.MIGLC.MTH.06.9-12.L1.2.2 | MI.MIGLC.MTH.06.9-12.A1.2.4
TOP: Lesson 6.5 Solve Absolute Value Equations
KEY: solve | absolute value
BLM: Knowledge NOT: 978-0-618-65612-7
28. ANS:
10 and 18 points
PTS: 1
DIF: Level B
REF: 7f2bb732-cdbb-11db-b502-0011258082f7
TOP: Lesson 6.5 Solve Absolute Value Equations
KEY: absolute value | inequality
BLM: Application NOT: 978-0-618-65612-7
29. ANS:
a.
, where w = the measured weight of a box of raisins; maximum: 17.6 oz; minimum: 17.2 oz
b. The absolute deviation for the 17.1 oz box is greater.
PTS: 1
DIF: Level B
REF: A1.06.05.SR.06
STA: MI.MIGLC.MTH.06.9-12.L1.1.3 | MI.MIGLC.MTH.06.9-12.L1.1.4 |
MI.MIGLC.MTH.06.9-12.L1.2.2 | MI.MIGLC.MTH.06.9-12.L1.3.1 | MI.MIGLC.MTH.06.9-12.A1.2.1 |
MI.MIGLC.MTH.06.9-12.A1.2.4 | MI.MIGLC.MTH.06.9-12.A1.2.5 | MI.MIGLC.MTH.06.9-12.A1.2.6 |
MI.MIGLC.MTH.06.9-12.A1.2.7 | MI.MIGLC.MTH.06.9-12.A1.2.8 | MI.MIGLC.MTH.06.9-12.A1.2.9 |
MI.MIGLC.MTH.06.9-12.A2.4.1
TOP: Lesson 6.5 Solve Absolute Value Equations
KEY: short response | real-life | absolute value | maximum | minimum
BLM: Application NOT: 978-0-618-65612-7