Period: Score: Name: Date: Algebra 1 Constructed Response Packet # 1 Module: Module 1 — Operations and Linear Equations and Inequalities Eligible Content: A.1.2.1.2 Interpreting Linear Equations You hire Bob the plumber to complete repairs. The cost (c) in dollars to have a plumber come to your house for (h) hours is described by the function: C = 50h + 100 A) What does the 100 represent in terms of the problem? T€ (O represe.rt j-hQ rih(i servce ce.. C) You researched the cost of hiring Cheryl the plumber. Her cost can be described by the function: C = 42h + 110. If you need 3.5 hours of work completed at your house, which plumber costs less? Show all work. (2 points) cobo C 53S) C z(3 ) -HO 2Th Ies perr The plumber that would cost less is (‘ I. B) What does the 50 represent in terms of the problem? T ‘ cer iuc Gf chard.
Transcript
Period: Score:Name: Date:
Algebra 1
Constructed Response Packet # 1
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A.1.2.1.2 Interpreting Linear Equations
You hire Bob the plumber to complete repairs. The cost (c) in dollars to have a plumber come to your house for(h) hours is described by the function: C = 50h + 100
A) What does the 100 represent in terms of the problem?
T€ (O represe.rt j-hQ rih(i servce ce..
C) You researched the cost of hiring Cheryl the plumber. Her cost can be described by the function:C = 42h + 110. If you need 3.5 hours of work completed at your house, which plumber costs less?Show all work. (2 points)
cobo
C 53S) C z(3 ) -HO
2Th
Ies perr
The plumber that would cost less is (‘ I.
B) What does the 50 represent in terms of the problem?
T ‘ cer iuc Gf chard.
Algebra 1
Constructed Response Packet # 1
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A1.2.2.1 Describe, compute, and/or use the rate of change.
At noon, a pump started emptying an oil storage tank at a constant rate. The tank started with 2,400 barrels
of oil and emptied at a rate of 360 barrels per hour.
A) Write an equation that represents the relationship between B, the number of barrels of oilremaining in the tank and t, the number of hours that the pump has been emptying the tank.
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Equation:___________________
B) How many barrels were in the tank at 5 P.M.? Show the work by which you determined your
answer.
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Answer: baYre/s
C) At what time will the tank be empty? Show how you determined your answer.
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Answer: ,P,M1
Algebra 1
Constructed Response Packet # 1
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A1.2.2.1 Describe, compute, and/or use the rate of change.
A truck driver has a choice of two highways to use for his delivery route. The highway with the least slope willgive him the best gas mileage, therefore spending less of his income on gas.
A) The first highway, Highway A, rises 633.6 feet over 10,560 feet of length. What is the slope ofHighway A in simplest fraction form?
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3/.—Answer:______________________
B) The second highway, Highway B, rises 475.2 feet over 5,280 feet of length. What is the slope ofHighway B in simplest fraction form?
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Answer: /1
C) Which highway should the truck driver use to save money on gas? Justify your answer.
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Algebra 1
Constructed Response Packet 4* 1
Module: Module 1— Operations and Linear Equations and Inequalities
Eligible Content: A,11.4.1 Use estimation to solve problems.
The Central Bucks Theme Park charges $72 for a day pass and $126 for a week pass.
A) Last week, 5,786 day passes were sold and 1,211 week passes were sold. Estimate the ti1amount of money paid for the day and week passes for last week. Explain how you usedestimation in finding your answer.
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B) It costs Central Bucks about $350,000 a week to run the theme park. Using your estimation frompart A, find the expected profit from last week. Show all work.
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C) The following week it rained all week long. Only 968 day passes were sold and 1,299 week passeswere sold. Estimate the total profit over the past two weeks for the Central Bucks Theme Park.Show all work.
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Algebra 1
Constructed Response Packet # 2
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A1.1.3.2 — Write, Solve, and/or graph systems of linear inequalities using various methods.
The cafeteria is getting ready to serve lunch. They will serve a minimum of 250 lunches. There are two choicesfor lunch - a hamburger or a piece of pizza. The hamburger will cost you $3.00 and the pizza will cost $1.50. Thecafeteria has a budget of at most $900 for lunch.
A) The information can be modeled with a system of inequalities. When x is the number ofhamburgers sold, and y is the number of pieces of pizza sold, two of the inequalities that model thesituation are x0 and yO.
Write two more inequalities to complete the system.
Inequalities: X St i /50 y
B) Graph the solution set for the inequalities from part A below. Shade the area that represents the]solution set.
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Numberof Hamburgers
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C) Pick an ordered pair to represent a reasonable solution for the number of hamburgers sold andthe pieces of pizza sold.
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Solution: ‘
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Algebra 1
Constructed Response Packet #2
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A1.1.3.1 — Write, solve, and/or graph linear inequalities using various methods.
Mrs. Smith earns a monthly salary of $2,000 plus a 10% commission on her sales. Her goal is to make at least $4,000 per
month. What amount of sales does she need to meet her goal?
[Z Write an inequality to represent the problem.
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B) Solve the inequality you wrote in part A.
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Solution: C
C) For the month of March, Mrs. Smith’s commission rate changes to 25%. To meet her monthly goal,
will her total sales need to increase or decrease, and by how much?
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Algebra 1
Constructed Response Packet # 2
Module: Module 2 — Linear Functions and Data Organizations
Eligible Content: A1.2.1.1 Analyze and/or use patterns or relations
Mary borrowed money from her parents to buy a car. Each month she paid them some of the money back.After one payment she still owed them $7800, after the second payment she owed them $7525, and after thethird payment she owed them $7250.
A> If this pattern continues, how much will she owe them after her 6th payment?
Show your work.
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B) Write an equation where y represents the money Mary still owes her parents, and x represents thenumber of payments. Show your work.
Equation: Y go 75 —75Z
C) How much money did Mary borrow from her parents to buy the car? Explain.
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Algebra 1
Period:
______
Score:______
Constructed Response Packet # 2——————---
Module 2— Linear Functions and Data Organizations
E’igible Content:
A 1.2.1.1 Analyze and/or use patterns or relations.
r A) Write the domain of the relation represented in the above graph.
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B) Write the range of the relation represented in the above graph.
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C) Is this relation also a function? Explain why or why not.
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D) Write the equation of the line represented in the graph.
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Equation:_________________________
Name: Date:
Module:
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Algebra 1
Constructed Response Packet #4
Mod u e: Module 1 — Operations and Linear Equations and inequalities
Eligible Content: A. 1.1.2.1 Graphing Linear Equations
Use the following linear equation to complete parts A — D: lOy=5x—20
D) Is (— 3, 5.5) a solution to the linear equation. Explain why or why not in complete sentences.
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A) Graph the equation using a table of values. You must have at least 3 points.
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B) Graph the equation using slope-intercept form.
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C) Graph the equation using x and y intercepts.
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Algebra 1
Constructed Response Packet #4
Module: Module 1— Operations and Linear Equations
Eligible Content: A.1.2.1.2 Interpreting Function
Mandy is filling her swimming pool. The table represents the time in hours (h) and gallons of water (g).
Gallons of water by hour
Time in hours (h Gallons (g I1 1002 1753 250
____________________
325
A) Write an equation to find the gallons of water in the pool (g), and the given number of hours (h).Show all work.
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B) How many gallons of water were in the pool before she began adding water?
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C) If it takes 1000 gallons to fill the pool, how long will it take before the pool is filled?
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D) If she accidentally leaves the water running for 20 hours, how many gallons of water spills over?
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Algebra 1
Constructed Response Packet # 5
Module: Module 1 — Operations and Linear Equations and Inequalities
Eligible Content: A1.1.3.1 — Write, solve, and/or graph linear inequalities using various methods.
Your school plans to give the freshmen class a pizza party if they spend a total of at least $7,000 on yearbooks and classrings. Each yearbook costs $35 and each class ring costs $70. How many yearbooks and class rings must the freshmanclass buy to get the pizza party?
A) Define your variables. Then, write an inequality to represent the problem.
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Variables: Inequali: Yyq5g
B) Graph the inequality you wrote in part A. (Count by 20’s on each axis and label each axis..)
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C) State one possible solution. Explain how you know this ordered pair is a solution of the inequality.8/.
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D) State one ordered pair that is not a solution. Use the graph to explain why this ordered pair is nota solution.
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Algebra 1
Constructed Response Packet # S
Module: Module 2- Data Analysis
Eligible Content: A1.2.3,1- Use measures of dispersion to describe a set of data
The box and whisker plot shown below represents the heights (in inches) of 7 graders in Ms. Smith’s class.
A) What is the range in heights for this class?
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)Percent: %
C) What is the interquartile range of the heights?
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Range: /
D) Explain how you know that more than 25% of the students are not taller than 65 inches?
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44 48 52 56 60 64 68
B) What is the best estimate for the percentage of students that are less than 64 inches tall?
Last Minute t4ah Tipsv Get a good night’s sleep EVERY night this week./ Make good decisions inside and outside of school this week./ Eat a good breakfast the morning of the test.Be here!
/ Take your TIME!!! You have as much time as you need to finish the test.I ASK questions if you are confused or uncomfortable about something.V We will be around to all of the rooms during testing. Mark a question if you are unsureabout it and ask a math teacher when they enter the room. Math teachers cannot helpyou, but only read the question to you.V USE KEY WORDS in your answers to the open-ended questions such as:o THEREFOREo SINCEo BECAUSEo TOFINDo TO CALCULATEo TODETERMNEo TO FIGURE OUTo ASARESULT
V REMEMBER you are trying to convince the person reading your response that you knowwhat you are doing!!/ Even if you do not know how to solve a problem, WRITE something down such as thegiven! A score of a 1 is better than a 0.V Answer EVERY question. Remember. with the multiple choice questions. you only haveto find the correct answer, it’s there!V Underline important words or phrases.“ Cross out answer choices that you know are wrong.V Change an answer ONLY hen you are sure that your 1 choice is wrong./ Take the test SERIOUSLY, but RELAX./ Since you have as much time as you want. CHECK YOUR ANSWERS!!! Use thegraphing calculator to help you where possible./ REVIEW the work from your PSSA folders./ USE your FORMULA SHEET!
Luck is when preparation meets opportunity.You all have the ability to attain excellent scores on this test.Stay focused and finish strong!
