Pre-Test · Holly has $150 to spend at the shopping mall. She decides to buy sweaters and pants...

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Chapter 3 Assessments 839

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Pre-Test

Name Date

1. The table shows the population of a small town for each year from 2003 to 2010.

Year 2003 2004 2005 2006 2007 2008 2009 2010

Population 21,359 22,906 22,542 23,048 23,562 23,609 24,008 24,716

a. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole number.

b. Identify the correlation coefficient, or r-value, of the line. What does this value tell you?

c. Predict the population for the year 2020. Show your work and explain your reasoning.

2. Holly has $150 to spend at the shopping mall. She decides to buy sweaters and pants with her money. Sweaters cost $35 each and pants cost $20 each.

a. Write an equation to represent this problem situation. Use s to represent the number of sweaters and p to represent the number of pants.

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840 Chapter 3 Assessments

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b. If Holly buys 3 sweaters, what is the greatest number of pants she can buy? Show your work and explain your reasoning.

c. If Holly buys no pants, what is the greatest number of sweaters she can buy? Show your work and explain your reasoning.

3. Solve the formula C 5 2p r for r. Show your work.

4. Write the equation y 5 2 1 __ 4 x 1 3 in standard form.

5. Write the equation 2x 1 3y 5 9 in slope-intercept form.

Pre-Test page 2

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Pre-Test page 3

Name Date

6. Harland owns a vegetable stand. He grows and sells his own vegetables at a stand in the city. He charges $0.75 for each tomato, and each month five lucky passers-by get a free tomato. Harland always sells more tomatoes than he gives away.

a. Write a linear function to represent the amount Harland earns each month. Let x represent the number of tomatoes distributed.

b. How much would Harland earn in a month if he distributed 80 tomatoes to customers? Show your work.

c. The next month, Harland decides to also sell cucumbers for $0.60 each. Each month three lucky passers-by get a free cucumber. He always sells more cucumbers than he gives away. Write a linear function to represent the amount of money Harland earns each month from cucumber sales. Let x represent the number of cucumbers distributed.

d. Harland writes a function for the total amount of money he will earn for selling both items. His work is shown below. Is Harland correct? Explain why or why not.

p(x) 5 t(x) 1 c(x)

p(x) 5 0.75(x 2 5) 1 0.6(x 2 3)

p(x) 5 0.75x 2 3.75 1 0.6x 2 1.8

p(x) 5 1.35x 2 5.55

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1. The table shows the attendance at a minor-league baseball game for the first 8 games of the season.

Game 1 2 3 4 5 6 7 8

Attendance 8,673 8,903 9,103 9,091 9,117 9,134 9,256 9,573



c. Predict the attendance for game 12. Show your work and explain your reasoning.

2. Bradley has $175 to spend at the electronics store. He decides to buy video games and DVDs with his money. Video games cost $40 each and DVDs cost $15 each.

a. Write an equation to represent this problem situation. Use v to represent the number of video games and d to represent the number of DVDs.

Post-Test

Name Date

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Post-Test page 2

b. If Bradley buys 2 video games, what is the greatest number of DVDs he can buy? Show your work and explain your reasoning.

c. If Bradley buys no DVDs, what is the greatest number of video games he can buy? Show your work and explain your reasoning.

3. Solve the formula A 5 1 __ 2 (b1 1 b2)h for h. Show your work.

4. Write the equation y 5 2 2 __ 3 x 2 7 in standard form.


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Post-Test page 3

Name Date

6. Mr. Wendell operates a concession stand at the park. He charges $3.25 for each hot dog, and each month four lucky customers get a free hot dog. He always sells more hot dogs than he gives away.

a. Write a linear function to represent the amount of money Mr. Wendell earns each month. Let x represent the number of hot dogs.

b. How much would Mr. Wendell earn in a month if he distributed 55 hot dogs out to customers? Show your work.

c. The next month, Mr. Wendell decides to also sell hamburgers for $4.75 each. Each month two lucky passers-by get a free hamburger. He always sells more hamburgers than he gives away. Write a linear function to represent the amount of money Mr. Wendell earns each month from hamburger sales. Use x for the number of hamburgers distributed.

d. Mr. Wendell writes a function for the total amount of money he will earn for selling both types of sandwiches. His work is shown below. Is Mr. Wendell correct? Explain why or why not.

p(x) 5 h(x) 1 b(x)

p(x) 5 3.25(x 2 4) 1 4.75(x 2 2)

p(x) 5 3.25x 2 13 1 4.75x 2 9.5

p(x) 5 8x 2 22.5

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End of Chapter Test

Name Date

1. The table shows the miles driven by a truck driver. The distance is the total number of miles driven.

Time (hours) 0 1 2 3 4 5 6 7

Distance (miles) 0 43 87 110 120 150 203 216



c. Predict the distance traveled after 9 hours. Show your work and explain your reasoning.

2. What is the y-intercept for the equation 7x 1 2y 5 212?

3. What is the x-intercept for the equation 23x 2 5y 5 21?

4. Write the equation y 5 5 __ 6 x 2 1 in standard form.


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End of Chapter Test page 2

6. The table shows a town’s population for different years. What is the linear regression equation?

Year 2005 2006 2007 2008 2009 2010

Population 78,309 79,043 78,983 79,744 80,113 80,990

7. Darla has $75 to spend at the bookstore. She decides to buy books and magazines with her money. Books cost $16 each and magazines cost $8 each.

a. Write an equation to represent this problem situation. Let b represent the number of books and let m represent the number of magazines.

b. If Darla buys 2 books, what is the greatest number of magazines she can buy? Show your work and explain your reasoning.

c. If Darla buys no magazines, what is the greatest number of books she can buy? Show your work and explain your reasoning.

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End of Chapter Test page 3

Name Date

8. Anderson Cooling uses the functions shown to predict their annual revenues and costs. To determine projected profits, they subtract projected costs from projected revenues. Use the functions to write a projected profits function, p(x).

Projected revenues: r(x) 5 3x 1 22,050

Projected costs: c(x) 5 2x 2 1,560

Projected profits:

9. A toy manufacturer is designing a new triangular-shaped toy. The company would like the toy to have a specific area.

a. Write the equation for the area of a triangle.

b. Solve your formula for height.

c. The company specified that the area of the toy must be 60 i n 2 and the length of the base must be 12 in. Use your formula to determine the height of the new toy.

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1. Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation y 5 8x to determine how much money she earns from candle sales. What does the independent variable represent in this situation?

a. the number of scents

b. the number of candles sold

c. the cost of each candle

d. the amount of visitors on the website

2. The table shows Adam’s age and shoe size. What is the correlation coefficient of the linear regression?

Age 6 8 10 12

Shoe Size 3 4.5 5 7.5

a. 21.3

b. 0.7

c. 0.933

d. 0.966

3. What is the y-intercept for the equation 4x 2 3y 5 218?

a. (0, 26)

b. (0, 24.5)

c. (0, 4.5)

d. (0, 6)

4. Student movie tickets cost $8.75. Adult movie tickets cost $10.25. Which function shows the total cost for s student tickets and a adult tickets?

a. f(s) 5 8.75s 1 10.025

b. f(a) 5 8.75 1 10.025a

c. f(s, a) 5 8.75a 1 10.25s

d. f(s, a) 5 8.75s 1 10.25a

Standardized Test Practice

Name Date

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Standardized Test Practice page 2

5. Which shows the equation 12m 1 4n 5 480 in slope-intercept form?

a. m 5 3 ________ 120 2 n

b. m 5 2 n __ 3 1 40

c. m 5 40 2 4n

d. m 5 468 2 4n

6. The equation d 5 r t gives the distance d for rate r and time t. Which shows the equation correctly solved for time?

a. t 5 r __ d

b. t 5 d __ r

c. t 5 dr

d. t 5 d 2 r

7. A company used the function r(x) 5 5x 1 15,000 to predict the amount of revenue they will earn next year. The company also used the function c(x) 5 2x 2 2,000 to predict the amount they will spend in costs next year. Which function shows the amount of profit, p(x), the company predicts to earn after costs?

a. p(x) 5 7x 1 13,000

b. p(x) 5 3x 1 13,000

c. p(x) 5 7x 1 17,000

d. p(x) 5 3x 1 17,000

8. Rewrite the function c(x) 5 9(x 1 3) using the Distributive Property.

a. c(x) 5 9x 1 12

b. c(x) 5 9x 1 27

c. c(x) 5 9x 1 93

d. c(x) 5 3x 1 27

9. What is the x-intercept of the equation y 5 1 __ 2 x 1 6?

a. (212, 0)

b. (23, 0)

c. (0, 23)

d. (0, 212)

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Name Date

10. At a local high school, a student ticket to a soccer game costs $5 and an adult ticket to a soccer game cost $10. For one soccer game, the amount earned on ticket sales was $1,430. Let x represent the number of student tickets sold and y represent the number of adult tickets sold. Determine the x- and y-intercepts. Which graph represents this situation?

a.

200

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400

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0 100 200 300 400

y

Student Tickets

x

b.

200

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Student Tickets

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c.

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Student Tickets

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d.

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Student Tickets

x

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11. A certain prescription medication costs $15 with MedPlus insurance and $75 with HealthPrime insurance. Last month, a pharmacy earned $5,850 selling this medication. If 220 prescriptions were filled for people who have MedPlus insurance, how many prescriptions were filled for people who have HealthPrime insurance?

a. 34

b. 186

c. 254

d. 1082

12. The equation A 5 p r 2 gives the area A of a circle with radius r. Solve the function for radius.

a. r 5 2p ___ A

b. r 5 A ___ 2p

c. r 5 √__

A __ p

d. r 5 √__

p __ A

13. The table shows Savannah’s salary for different years. What is the linear regression equation?

Year 2000 2001 2002 2003

Salary ($) 40,000 42,000 46,000 44,500

a. y 5 39,625x 1 4375

b. y 5 4375x 1 39,625

c. y 5 1750x 1 40,500

d. y 5 40,500x 1 1750

14. Which shows the equation y 5 2 1 __ 2 x 2 7 in standard form?

a. y 1 7 5 2 1 __ 2 x

b. x 1 2y 5 214

c. 22y 2 14 5 x

d. x 2 2y 5 14

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15. Anna and Dave decide to go into business together selling lemonade during the summer. They each set up a stand outside their house. Anna sells her lemonade for $0.50 a cup and gives away two cups for free each week. Dave sells his lemonade for $0.75 a cup and gives away three cups for free each week. One week, Anna distributes twice as many cups of lemonade as Dave. Which function best represents the amount Dave and Anna earned together during this week?

a. t(x) 5 1 __ 2 x 2 1 1 3 __

4 x 2 2.25

b. t(x) 5 7 ___ 12

x 2 3.25

c. t(x) 5 2(1.25x 2 3.25)

d. t(x) 5 1.25x 2 3.25

16. Steve bought wrenches of different sizes. He spent $20 for each wrench for his toolbox. The expression y 5 20x shows how much he spent for the wrenches. What does the dependent variable represent in this situation?

a. the number of sizes of wrenches

b. the number of wrenches bought

c. the number of wrenches in the toolbox

d. the cost of the wrenches

17. The table shows the amount of accumulated snowfall during different months. What is the range of the data?

Month 1 2 3 4 5 6

Accumulated Snowfall (inches)

15.03 18.12 9.84 3.51 1.93 0.02

a. 5 inches

b. 15.01 inches

c. 16.19 inches

d. 18.1 inches


Name Date

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18. The equation V 5 4 __ 3 p r 3 gives the volume V of a sphere with radius r. Which shows the equation

solved for the length of the radius?

a. r 5 3 3V ___

4p

b. r 5 3 4V ___

3p

c. r 5 9V ___ 4p

d. r 5 V ___ 4p

19. The table shows the number of bacteria at different times during an experiment. Using a linear regression, about how many bacteria will there be after 24 hours?

Time (Hours) 3 6 9 12

Number of Bacteria 25 85 168 205

a. 35

b. 277

c. 469

d. 819

20. Which shows the equation 2x 2 8y 5 216 in slope-intercept form?

a. y 5 1 __ 4 x 1 2

b. y 5 1 __ 4 x 2 2

c. y 5 24x 1 2

d. y 5 24x 2 2

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Pre-Test · Holly has $150 to spend at the shopping mall. She decides to buy sweaters and pants...

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