A1M106.qxd



-----------------------

Mid-Chapter Test

Name Date

Use the data table below to answer Questions 1 through 5.

A scientist wonders if you can predict a person’s weight at 30 years based on the person’s

weight at 1 year. She uses some medical files to collect the following data.

1.

Write the ordered pairs from the table that show the weight at 30 years as a function of

the weight at 1 year.

2.

Create a scatter plot of the ordered pairs on the grid on the next page to show the

relationship between weight at 1 year and weight at 30 years. First, choose your bounds and intervals. Be sure to label your graph clearly.

6

Chapter 6  % Assessments 173

© 2008 Carnegie Learning, Inc.

Variable quantity

Low■ Assessments 173

© 2008 Carnegie Learning, Inc.

Variable quantity

Lower bound

Upper bound

Interval

Weight at 1 year

Weight at 30 years

pounds

pounds

21

124

25

128

23

130

24

132

20

125

15

122

25

135

21

130

17

128

24

132

Mid-Chapter

Test PAGE 2

3.

4.

Use a ruler to draw the line that best fits the data in your graph.

5.

What does the y-intercept of your line mean in terms of the context of the problem?

Use a complete sentence in your answer.

6

174 Chapter 6 ■ Assessments

© 2008 Carnegie Learning, Inc.

Mid-Chapter Test PAGE 3

Name Date

Read the scenario below. Use the scenario and graph to answer Questions 6

through 8.

The Fast Car dealership tracks its automobile sales based on the type of automobile.

The graph below shows the percent of sales that were SUVs for the years from 1995 to 2005.

6.

Explain what year is represented by 7 on the graph. Use a complete sentence in your

answer.

7.

Write the equation of the line of best fit in the graph. Define your variables and include

the units.

6

8.

What does the slope of the line represent in this problem situation? Use a complete

sentence in your answer.

Chapter 6 ■ Assessments 175

© 2008 Carnegie Learning, Inc.

Mid-Chapter Test PAGE 4

Read the scenario below. Use the scenario and graph to answer Questions 9

and 10.

The Fast Car dealership tracks its automobile sales based on the type of automobile. The graph

below shows the percent of sales that were compact cars for the years from 1995 to 2005.

9.

Use the equation provided to predict the percent of sales that were compact cars in the

year 2006. Show all your work and use a complete sentence in your answer.

10.

Use the equation provided to predict the year in which the percent of sales that were

compact cars was 11%. Show all your work and use a complete sentence in your answer.

6

176 Chapter 6 ■ Assessments

© 2008 Carnegie Learning, Inc.

End of Chapter Test

Name Date

Use the data table below to answer Questions 1 through 9.

You just got your ACT scores. Your composite score wasn’t exactly what you had expected.

You wonder if you could have predicted your composite score using your GPA. You get the following data for 10 students from the counseling office.

1.

Write the ordered pairs from the table that show the ACT composite score as a function of

the person’s GPA.

2.

Create a scatter plot of the ordered pairs on the grid on the next page to show the

relationship between GPA and ACT composite score. Because the data points are clustered together, break the graph on the x-axis. Complete the bounds and intervals table provided below. Be sure to label your graph clearly.

6

Chapter 6 ■ Assessments 177

© 2008 Carnegie Learning, Inc.

Variable quantity

Lower bound

Upper bound

Interval

3.1

4.5

0

30

GPA

ACT composite score

points

points

3.2

18

3.3

21

3.1

22

3.5

25

3.4

27

3.7

29

3.8

28

3.7

28

3.9

29

4.0

29

End

of Chapter Test PAGE 2

3.

What is the advantage of using a graph with a break in it? Use a complete sentence in

your answer.

4.

What is the disadvantage of using a graph with a break in it? Use a complete sentence in

your answer.

5.

Use a ruler to draw the line of best fit. Then, write the equation of your line. Define your

variables.

6

178 Chapter 6 ■ Assessments

© 2008 Carnegie Learning, Inc.

End of Chapter Test PAGE 3

Name Date

6.

Use your equation to predict the ACT composite score of a student with a GPA of 2.9.

Show all your work and use a complete sentence in your answer.

7.

Use your equation to predict the GPA of a student with an ACT composite score of 20.

Show all your work and use a complete sentence in your answer.

8.

Describe the correlation of the data displayed in the graph in Question 2. Use complete

sentences to explain your reasoning.

9.

Your teacher asks you to use a graphing calculator to find the linear regression equation

for these data. In addition to the linear regression equation, the calculator produces a correlation coefficient of 0.8672. Use a complete sentence to explain what this number tells you about the data.

6

Chapter 6 ■ Assessments 179

© 2008 Carnegie Learning, Inc.

End of Chapter Test PAGE 4

10.

Is a linear model the best model for the data below? Why or why not? Use a complete

sentence in your answer.

6

180 Chapter 6 ■ Assessments

© 2008 Carnegie Learning, Inc.

Standardized Test Practice

Name Date

1.

The data in the table show the cost of ordering DVDs from an online company, including

the flat shipping fee.

What is the equation of the line that best fits the data if the number of DVDs n is graphed

on the horizontal axis and the cost C is graphed on the vertical axis?

a.

b.

C = 2n

C = 2n − 5

1

c.

C = n+ 5

2

C = 2n + 5

d.

2.

Your teacher asks you to make a scatter plot of the data below. He asks you to define

time as the number of years since 1996. What number would you use for 2000?

a.

b.

c.

d.

2

3

4

5

6

Chapter 6 ■ Assessments 181

© 2008 Carnegie Learning, Inc.

Year

1996

1997

1998

1999

2000

Number of graduates

224

237

219

222

241

Number of DVDs (n)

Cost in dollars (C)

3

11

6

17

10

25

Standardized Test Practice PAGE 2

Read the scenario below. Use the scenario and graph to answer Questions 3

through 6.

A baseball coach would like to be able to predict the number of hits his players will get based

on the number of times they are at bat. He graphs some data and finds the line of best fit. The equation of the line of best fit is y = 0.32x − 20.51, where x is the number of times at bat and

y is the number of hits.

3.

How many hits should he expect from a player who is at bat 175 times? Round your

answer to the nearest whole number.

y

Hits vs. At Bats

225

210

195

180

165

150

135

120

105

90

75

60

45

30

15

0

x

0

40 80 120 160 200 240 280 320 360 400 440 480 520 560 600

Number of times at bat

a.

b.

c.

d.

35

36

76

77

6

182 Chapter 6 ■ Assessments

Number of hits

© 2008 Carnegie Learning, Inc.

Standardized Test Practice PAGE 3

Name Date

4.

How many times is a player at bat if he has 200 hits? Round your answer to the nearest

whole number.

a.

b.

c.

d.

560

561

689

690

5.

In the equation of the line of best fit, y = 0.32x − 20.51 from the baseball scenario,

what does the slope mean?

a.

b.

c.

d.

The increase in the number of hits for each time at bat

The decrease in the number of hits for each time at bat

The increase in the number of times at bat for each hit

The decrease in the number of times at bat for each hit

6.

In the equation of the line of best fit, y = 0.32x − 20.51 from the baseball scenario,

which of the following best describes what the y-intercept would represent in the problem situation?

a.

b.

c.

d.

The number of times at bat for zero hits

The number of hits for zero times at bat

The number of hits for each time at bat

The number of times at bat before getting one hit

7.

Which of the following is NOT an advantage of using a graph with a break in it?

a.

b.

c.

d.

You can see all the data.

You can see the y-intercept.

You can easily draw a line of best fit.

You can more easily determine the slope of the line.

6

Chapter 6 ■ Assessments 183

© 2008 Carnegie Learning, Inc.

Standardized Test Practice PAGE 4

8.

Do the points in the scatter plot have a positive correlation, a negative correlation, or no

correlation?

a.

b.

c.

positive correlation

negative correlation

no correlation

9.

If a line of best fit models the data very well, what would you expect to see in a graph of

the data and the line?

a.

b.

c.

d.

The line has a positive slope.

The line has a negative slope.

The line is very close to all of the points.

The line is close to some of the points but not very close to other points.

10.

You enter data into a graphing calculator to find the linear regression equation. In addition

to producing the equation, the calculator produces a correlation coefficient. Which of the following correlation coefficients would indicate that the data are NOT very close to

forming a straight line?

a.

b.

c.

d.

–0.8979

0.08979

0.8979

0.9785

6

184 Chapter 6 ■ Assessments

© 2008 Carnegie Learning, Inc.

© 2008 Carnegie Learning, Inc.

Chapter 6 ■ Assessments 193

Name Date

Cumulative Test PAGE 9

4–6

Use the equation you wrote in Question 26 to predict how many pages a book has if it

takes 2.8 hours to read. Show all your work and round your answer to the nearest whole number, if necessary. Use a complete sentence in your answer.

29.

Use the equation you wrote in Question 26 to predict how long it will take to read a

book that is 423 pages. Show all your work and round your answer to the nearest tenth,

if necessary. Use a complete sentence in your answer.

28.

What does the slope of the line mean in terms of the problem situation? Use a complete

sentence in your answer.

27.

© 2008 Carnegie Learning, Inc.

192 Chapter 6 ■ Assessments

Cumulative Test PAGE 8

4–6

6.0

0.0

400

100

Interval

Upper bound

Lower bound

Variable quantity

Create a scatter plot of the ordered pairs on the grid below to show the relationship

between the number of pages and time. Break the graph on the x-axis, so that the points willbe more spread out. Complete the bounds and intervals table provided below. Be sure

to label your graph clearly.

25.

Use a ruler to draw a line that best fits the data in your graph. Then, write the equation of

the line. Be sure to define your variables and include units.

26.

Write the ordered pairs from the table that show time as a function of the number

of pages.

24.

© 2008 Carnegie Learning, Inc.

Chapter 6 ■ Assessments 191

3

Write the equation y = x + 6 in standard form. Show all your work.

11

22.

Write the equation – 7x + 9y = 54 in slope-intercept form. Show all your work.

23.

4–6

Name Date

Cumulative Test PAGE 7

3.2

218

2.2

148

5.5

357

3.4

236

2.75

202

2.5

189

4.5

324

3.4

275

hours

pages

Time

Number of pages

Mr. Lane is a new English teacher, and he is deciding which books he would like to have his

students read over the course of the year. He wants to predict how long it will take the students

to read a book based on the length of the book. Mr. Lane asks several students to read books

of varying length and record the amount of time it takes them to read the book.

Read the scenario below. Use the scenario and data to answer Questions 24

through 29.

© 2008 Carnegie Learning, Inc.

4–6

190 Chapter 6 ■ Assessments

2

Cumulative Test PAGE 6

slope:

y-intercept:

Identify the slope and y-intercept of the equation y = x − 6, and use them to graph

5

the equation on the grid below.

21.

Write the equation of a line in slope-intercept form that passes through the points (–4, 6)

and (8, 12). Show all your work.

20.

© 2008 Carnegie Learning, Inc.

Chapter 6 ■ Assessments 189

2

Name Date

Cumulative Test PAGE 5

x-intercept:

y-intercept:

16. Algebraically, find the x- and y-intercepts of the graph of the equation 2x + 7y = 28.

Show all your work.

Write the equation of a line in slope-intercept form that has a slope of − and passes

9

through the point (18, 5). Show all your work.

19.

4–6

What does the y-intercept mean in terms of the problem situation? Use a complete

sentence in your answer.

18.

Write an equation that gives Donna’s profit in terms of the number of hours she works.

Use x to represent the number of hours and use y to represent Donna’s profit after she pays her parents back.

17.

Donna has started her own clowning business. For a fee of $12 per hour, people can hire her

to come to a party to make balloon animals and do magic tricks. To get her business started, Donna borrows $20 from her parents for supplies.

Read the scenario below. Use the scenario to answer Questions 17 and 18.

© 2008 Carnegie Learning, Inc.

188 Chapter 6 ■ Assessments

4 5 6 7 8

Cumulative Test PAGE 4

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8

Solve the following inequality. Then, graph your solution. Show all your work.

–5x + 8 ≥ 43

13.

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3

Solve the following inequality. Then, graph your solution. Show all your work.

|3x – 6| < 12

14.

x-intercept:

y-intercept:

Find the x- and y-intercepts of the graph below.

15.

4–6

© 2008 Carnegie Learning, Inc.

Chapter 6 ■ Assessments 187

Name Date

Cumulative Test PAGE 3

b. Is this equation a function? If so, identify the domain and range in terms of this real-life

situation. If not, explain why not. Use complete sentences in your answer.

You recently joined an online book-on-CD club so that you can rent books on CD.

The membership fee is $45 and each rental is $4 which covers shipping and handling.

a. Write an equation that gives the total cost in terms of the number of rentals.

Use x to represent the number of rentals and y to represent the total cost.

10.

Write the repeating decimal 0.2222... as a fraction. Show all your work.

11.

Solve the following equation. Show all your work.

– 2(x –18) = 4(4x – 9)

12.

4–6

© 2008 Carnegie Learning, Inc.

186 Chapter 6 ■ Assessments

x

Cumulative Test PAGE 2

Was your survey biased? Use a complete sentence to explain your reasoning.

5.

Your uncle takes you and your friends out to eat to celebrate your graduation.

The total bill for everyone’s dinner is $214.72. Your uncle would like to leave a

20% tip because the service was so good. How much should he leave? Show all your work and use a complete sentence in your answer.

6.

4–6

Evaluate f(x) = − 3x − 9 at x = − 4. Show all your work.

9.

8. – 7 = 4

5

–3x + 4 = – 8

7.

Solve each equation. Show all your work.

© 2008 Carnegie Learning, Inc.

Chapter 6 ■ Assessments 185

Name Date

Cumulative Test

4–6

There are 243 sophomores at your school. Use the ratio you wrote in Question 3 to

determine how many of them would be interested in playing in the intramural basketball league. Show all your work and use a complete sentence in your answer.

4.

Write a ratio that shows the relationship between the number of sophomores that

are interested in playing in the league and the total number of sophomores that were surveyed.

3.

The student council at your school wants to start an intramural basketball league. During

half-time of a basketball game, you survey 40 students in each grade to see if they would

be interested in playing in an intramural league. You found that 21 freshmen, 37 sophomores,

31 juniors, and 19 seniors said that they would be interested in playing in the intramural league.

Read the scenario below. Use the scenario to answer Questions 3 through 5.

5

3

1

–1

–3

Sequence

5

4

3

2

1

Term (n)

Use the sequence below to answer Questions 1 and 2.

2. Use the expression you wrote in Question 1 to find the 20th term of the sequence.

Show all your work.

1. Write an expression for the nth term and describe the pattern. Use a complete sentence in

your answer.

194 Chapter 6 ■ Assessments

4–6

© 2008 Carnegie Learning, Inc.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download