GENTRYMath / Algebra I / Mod2Unit3

Name _________________________________

Teacher ____________________ Period _____

Use the figure below to answer questions 1 and 2.

1. A plan for a rectangular garden includesfencing around the perimeter. The length of thegarden must be 10 feet in order to fit on theproposed site. There are 29 feet of fencingavailable. How wide can the garden be?

A. w > 4.5 feet

B. w � 4.5 feet

C. w > 9 feet

D. w � 9 feet

2. A plan for a rectangular garden includesfencing around the perimeter. The length of thegarden must be 10 feet in order to fit on theproposed site. There are 29 feet of fencingavailable. How wide can the garden be?

A. w > 4.5 feet

B. w � 4.5 feet

C. w > 9 feet

D. w � 9 feet

3. Nakia, the student council treasurer, has beenasked to make a budget for the stateconference. The members have raised $4,973for the conference. The conference has amembership fee of $125 per school and a $75registration fee per student. How manymembers could attend the conference using themoney raised thus far?

A. 64 students

B. 65 students

C. 67 students

D. 68 students

Use the information below to answer question 4.

Mark’s computer has 3 gigabytes of totalprocessing power. The computer uses 0.3 gigabytewhen it idles. Each additional program that is openuses another 0.15 gigabyte. Mark does not want hisprocessor usage to exceed 80%.

4. Which inequality correctly describes thissituation?

A.

B.

C.

D.

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GENTRY – Math – Algebra I – Mod2Unit3

5. Alan’s water heater has a maximum capacityof 50 gallons and produces 0.5 gallon perminute. His shower uses 1.75 gallons of hotwater per minute. Which inequality can besolved to find m, the number of minutes theshower can run before the water heater goesfrom full to under 10 gallons?

A. 1.75m – 50 + 0.5m < 10

B. 1.75m – (50 + 0.5m) < 10

C. 50 – 1.75m + 0.5m < 10

D. 50 – (1.75m + 0.5m) < 10

6. Jessica is loading pallets into a freight elevatorthat has a maximum capacity of 4.2 tons.There are already 2 pallets on the elevator, andeach pallet weighs 1

4 ton. What is the solutionset for p, the number of additional palletsJessica can safely load into the elevator?

A. p � 8.8

B. p � 14.8

C. p � 18.8

D. p � 24.8

7. Solve 15 (x − 5) ≤ − 2

3 (x + 9) − 21.

A. x ≤ − 8 13

B. x ≤ 10 513

C. x ≤ − 19 813

D. x ≤ − 30

8. Solve – 2 ≤ 2x – 8 ≤ 4.

A. − 5 ≤ x ≤ a − 2

B. − 2 ≤ x ≤ − 5

C. 3 ≤ x ≤ 6

D. 6 ≤ x ≤ 3

9. Solve the inequality 3x + 1.2 < − 7x − 1.3.

A. x < − 0.625

B. x < − 0.25

C. x < − 0.025

D. x < − 0.01

Use the inequality below to answer question 10.

123 + 108 + x3 ≥ 115

10. Jamie bowled scores of 123 and 108 on hisfirst 2 games. What score (x) does Jamie needto bowl on his third game to have an averageof at least 115?

A. 38

B. 102

C. 114

D. 116

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GENTRY – Math – Algebra I – Mod2Unit3

11. The inequality below describes the number ofbags of mulch, m, that Johnny can fit in thebed of his truck.

2m + 8 � 36

What is the solution to the inequality?

A. m � 14

B. m � 22

C. m � 56

D. m � 88

12. Kaylee needs to earn $600 each month to saveup for college. She earns $490 each monthfrom her part-time job, and also sellshandmade jewelry. Each piece of jewelry shesells earns her $4.50. Which inequality showshow many pieces of jewelry Kaylee needs tosell each month to reach or exceed her savingsgoal?

A. j � 24

B. j � 25

C. j � 242

D. j � 243

13. The graph below represents how full Jodi’s gastank is in terms of how many miles she hasdriven since she left home.

If the tank’s fullness is f and Jodi’s drivingtime is t, which inequality is graphed above?

A. f < 12.5t – 75

B. f � 12.5t – 75

C. f < 75 – 12.5t

D. f � 75 – 12.5t

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GENTRY – Math – Algebra I – Mod2Unit3

14. Wilson was assigned the inequalityy ≥ 1

5 x − 4 to graph. He graphed it incorrectlyas shown below.

Which would make his graph correct?

A. The line should be graphed as a segment.

B. The line should be dashed rather thansolid.

C. The shading should be above the line.

D. The line should be decreasing rather thanincreasing.

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GENTRYOpen-Response / Algebra I / Mod2Unit3

Name _________________________________

Teacher ____________________ Period _____

ALGEBRA I OPEN-RESPONSE ITEM A

A. Meghan has two part-time jobs. Her first job pays her $5 an hour, and her second job pays her $7 an hour.She must earn at least $100 a week to help pay for her technical college expenses.

1. Write an inequality that expresses the different ways that Meghan can plan her time to be able to payher expenses. Make sure to define your variables.

2. Using the grid provided in your Student Answer Document and a straightedge, graph your inequalityfrom part (1). Make sure to clearly label your axes and shade in lightly with your pencil the portion ofthe graph that represents the hours that Meghan can work to earn $100 or more per week.

3. Clearly show or explain why Meghan can or cannot work 7 hours per week at her first job and 9 hoursper week at her second job.

BE SURE TO LABEL YOUR RESPONSES (I), (2), AND (3).

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GENTRYStudent Answer Document / Algebra I / Mod2Unit3

Name _________________________________

Teacher ____________________ Period _____

6

A

ALGEBRA I OPEN-RESPONSE ITEM A (SEI.2.AI.1D)

A. Meghan has two part-time jobs. Her first job pays her $5 an hour, and her second job pays her $7 an hour. She must earn at least$100 a week to help pay for her technical college expenses.

1. Write an inequality that expresses the different ways that Meghan can plan her time to be able to pay her expenses. Makesure to define your variables.

2. Using the grid provided in your Student Answer Document and a straightedge, graph your inequality from part (1). Makesure to clearly label your axes and shade in lightly with your pencil the portion of the graph that represents the hours thatMeghan can work to earn $100 or more per week.

3. Clearly show or explain why Meghan can or cannot work 7 hours per week at her first job and 9 hours per week at hersecond job.

BE SURE TO LABEL YOUR RESPONSES (I), (2), AND (3).

RUBRIC FOR ALGEBRA I OPEN-RESPONSE ITEM A (SEI.2.AI.1D)

Score Description

4 4 points.

3 3–3½ points.

2 2–2½ points.

1 ½–1½ point(s).ORMinimal understanding of communicating graphically, algebraically, and verbally real-worldproblems.

0 No understanding. Work is either incorrect or irrelevant.

B No response.

Solution and Scoring

Part 1: 1 point for correct inequality 5x + 7y ≥ 100 where x is number of hours spent at first job and y isnumber of hours spent at second job or equivalent.OR½ point for the inequality only OR the equation with variables defined OR the inequality is reversedwith the variables defined.

Part 2: 2 points for correctly formatted, correctly labeled, correctly plotted, and correctly shaded graph.(Deduct ½ point up to 1 point for minor error(s) such as missing labels, incorrect shading, a dottedline, or a misplotted intercept.)OR½ point for work which demonstrates some understanding of how to graph an inequality.

Part 3: 1 point for correct answer, cannot, with work shown or explained:5(7) + 7(9) = 35 + 63 = 98 � 100 or not � 100 or equivalent (e.g., student notes that [7,9] is not inshaded area).OR½ point for correct procedure shown with visible calculation error or a correct answer with somesupport.

GENTRYMath / Algebra I / Mod2Unit3Answer Key and Alignment

Answer Source SLE CC-Standard1. B AR SEI.2.AI.1c AI.A.CED.1(B)2. B AR SEI.2.AI.1c AI.A.CED.1(B)3. A TLI SEI.2.AI.1c AI.A.CED.1(B)4. C TLI AI.A.CED.1(B)5. C TLI AI.A.CED.1(B)6. B TLI AI.A.CED.1(B)7. D TLI SEI.2.AI.1c AI.A.REI.3(B)8. C TLI SEI.2.AI.1c AI.A.REI.3(B)9. B TLI SEI.2.AI.1c AI.A.REI.3(B)10. C AR SEI.2.AI.1c AI.A.REI.3(B)11. A TLI AI.A.REI.3(B)12. B TLI AI.A.REI.3(B)13. C TLI AI.A.REI.12(A)14. C TLI AI.A.REI.12(A)