sreb unit 4 study guide - welcome to our...

Name: ______________________ Class: _________________ Date: _________ ID: A

1

SREB UNIT 4 STUDY GUIDE

Graph the equation.

1. y = –x – 4

2. y = 2x – 1

What are the slope and y-intercept of the graph of the given equation?

3. y = 43

x − 14

4. y = 7x + 3

5. y = –8.1x + 4.5

What equation in slope intercept form represents the line that passes through the two points?

6. (–6.4, 1.2), (–2.4, 9.2)

7. (3, 5), (10, –1)

8. (− 12

, 32

), ( 34

, 65

)

What is the slope of the line that passes through the pair of points?

9. (4, 5), (8, –3)

10. (6.3, –1.3), (11.3, 18.7)

Name: ______________________ ID: A

2

11. Model the function rule y = −x + 9 with a table of values and a graph.

x y

–1

0

1

____ 12. x y1 23.82 33.323 46.654 65.315 91.43

Graph the function shown by the table. Is the function linear or nonlinear?a. linear b. nonlinear

Name: ______________________ ID: A

3

13. Find the range of f x( ) = 3x − 3 for the domain {–3, 0, 1, 2}.Show ALL your work!

The range is ______________________________

____ 14. The function b(n) = 5n represents the number of light bulbs b(n) that are needed for n chandeliers. How many light bulbs are needed for 17 chandeliers?a. 97 light bulbs b. 79 light bulbs c. 3 light bulbs d. 85 light bulbs

15. Model the function rule y = − 23

x + 2 with a table of values and a graph.

x y

–1

0

1

Name: ______________________ ID: A

4

Find the slope of the line.

16.

17.

18.

Name: ______________________ ID: A

5

19. The table shows the height of an elevator above ground level after a certain amount of time. Model the data with an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds.

Time (s) Height (ft)

10 163

20 146

40 112

60 78

20. Identify the domain and range of the relation.(−8, 10), (−2, 10), (3, 10), (9, 10)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

The domain is ______________________________

The range is ______________________________

Write the slope-intercept form of the equation for the line.

21.

Name: ______________________ ID: A

6

22.

23.

24. Identify the domain and range of the relation.(−9, 3), (−2, 3), (4, 3), (10, 3)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

The domain is ______________________________

The range is ______________________________

Use the vertical line test to determine whether the relation is a function.

25. (−2, 2), (−3, −2), (1, 0), (3, −4)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

A. The relation is a function B. The relation not a function

Name: ______________________ ID: A

7

26.


27. (5, 1), (−2, 3), (−2, −5), (−1, −4)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ


28.


Name: ______________________ ID: A

8

____ 29. The function j(x) = 50x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 20 minutes?a. 2 jumping jacks b. 1000 jumping jacks c. 170 jumping jacks d. 230 jumping jacks

In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they form?

30. What is an equation for this relationship?

____ 31. Which of the following tables represent the relationship in the diagram above?a. b. c.

d.

Name: ______________________ ID: A

9

____ 32. Which of the following graphs represents the relationship described above?a. b. c.

d.

Find the x- and y-intercept of the line.

33. 2.3x + 9.6y = 154.56

34. 6x + y = 18

35. −x + 94

y = –6

Name: ______________________ ID: A

10

____ 36. The table shows the amount of money made by a summer blockbuster in each of the first four weeks of its theater release. Which graph could represent the data shown in the table?

Week Money ($)1 20,100,0002 10,000,0003 5,000,0004 2,500,000

a. b. c.

d.

Name: ______________________ ID: A

11

____ 37. You have 11 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function?

a. The domain is 0 ≤ c(f) ≤ 264.The range is 0 ≤ f ≤ 11.

c. The domain is 24 ≤ c(f) ≤ 264.The range is 1 ≤ f ≤ 11.

b. The domain is 0 ≤ f ≤ 11.The range is 0 ≤ c(f) ≤ 264.

d. The domain is 1 ≤ f ≤ 11.The range is 24 ≤ c(f) ≤ 264.

Name: ______________________ ID: A

12

The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week.

Number of Sports Teams

Free Time (hours)

0 371 312 253 19

____ 38. Is the above relationship a linear function?

a. yes b. no

____ 39. What is the graph for the above relationship?a. b. c.

d.

Name: ______________________ ID: A

13

____ 40. x y1 4.82 7.63 10.44 13.25 16

Graph the function shown by the table. Is the function linear or nonlinear?a. linear b. nonlinear

41. Crystal earns $4.75 per hour mowing lawns.• Write a rule to describe how the amount of money m earned is a function of the number of hours h

spent mowing lawns.• How much does Crystal earn if she works 1 hour and 45 minutes?

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

42. The table shows the cost of a ski rental package for a given number of people.People Cost ($)

2 90

3 135

4 180

5 225

43. The table shows the number of miles driven over time.Time (hours) Distance (miles)

4 256

6 384

8 512

10 640

44. Giselle pays $220 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Model the situation with a linear function and a graph.

45. Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $.30.

Name: ______________________ ID: A

14

46. A zucchini plant in Darnell’s garden was 9 centimeters tall when it was first planted. Since then, it has grown approximately 0.8 centimeter per day.• Write a rule to describe the function.• After how many days will the zucchini plant be 0.21 meter tall?

In the diagram below, what is the relationship between the number of triangles and the perimeter of the figure they form?

____ 47. Suppose you know the perimeter of n triangles. What would you do to find the perimeter of n + 1 triangles?

a. Add 4 to the perimeter of n triangles b. Add 12 to the perimeter of n triangles c. Add 6 to the perimeter of n triangles d. Add 8 to the perimeter of n triangles

____ 48. Which of the following represents the above relationship?

a. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus the length of the base. The equation for the perimeter is P = 6n + 4. b. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of another side. The equation for the perimeter is P = 4n + 12. c. The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus the length of another side. The equation for the perimeter is P = 4n + 6. d. The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of the base. The equation for the perimeter is P = 6n + 8.

49. Represent the above relationship by filling in the table below.

Number of Triangles Perimeter

1

2

3

Name: ______________________ ID: A

15

50. Represent the above relationship by drawing a graph.

51. A snail travels at a rate of 2.46 feet per minute. • Write a rule to describe the function.• How far will the snail travel in 10 minutes?

Write an equation of a line with the given slope and y-intercept.

52. m = –3, b = –6

53. m = 3.4, b = –3.3

54. m = − 23

, b = 32

What is the graph of the function rule?

55. y = 2x − 1

Name: ______________________ ID: A

16

56. Find the range of f x( ) = −7.9x + 6 for the domain {–3, 0, 4, 7}.Show ALL your work!

The range is ______________________________

57. A taxi company charges passengers $1.50 for a ride, and an additional $0.25 for each mile traveled. The function rule C = 0.25m + 1.50 describes the relationship between the number of miles m and the total cost of the ride c. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?

58. Elaine has a business repairing home computers. She charges a base fee of $45 for each visit and $25 per hour for her labor. The total cost C for a home visit and x hours of labor is modeled by the function rule C = 25x + 45. Use the function rule to make a table of values and a graph.

x C0

1

2

3

ID: A

1

SREB UNIT 4 STUDY GUIDEAnswer Section

1. ANS:

PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form 2. ANS:


The slope is 43

and the y-intercept is − 14

.


The slope is 7 and the y-intercept is 3.

PTS: 1 DIF: L2 REF: 5-3 Slope-Intercept Form

ID: A

2

5. ANS: The slope is –8.1 and the y-intercept is 4.5.


y = 2x + 14


y = − 67

x + 537


y = − 625

x + 6950


−2

PTS: 1 DIF: L2 REF: 5-1 Rate of Change and Slope 10. ANS:

4

PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope

ID: A

3

11. ANS:

x y–1 10

0 91 8

PTS: 1 DIF: L3 REF: 4-4 Graphing a Function Rule 12. ANS: B PTS: 1 DIF: L3

REF: 4-3 Patterns and Nonlinear Functions 13. ANS:

{–12, –3, 0, 3}

PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and Functions 14. ANS: D PTS: 1 DIF: L2

REF: 4-6 Formalizing Relations and Functions

ID: A

4

15. ANS:

x y

–1 83

0 2

1 43

PTS: 1 DIF: L3 REF: 4-4 Graphing a Function Rule 16. ANS:

−2


3


− 13


y = −1.7x + 180

PTS: 1 DIF: L3 REF: 5-4 Point-Slope Form

ID: A

5

20. ANS: The domain is {–8, –2, 3, 9}.The range is {10}.

PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and Functions 21. ANS:

y = − 78

x − 58


y = 76

x + 32


y = 0.2x + 2.4


The domain is {–9, –2, 4, 10}.The range is {3}.


A. The relation is a function.




B. The relation is not a function.



PTS: 1 DIF: L2 REF: 4-6 Formalizing Relations and Functions 29. ANS: B PTS: 1 DIF: L2

REF: 4-6 Formalizing Relations and Functions 30. ANS:

An equation for this situation is y = 6x + 20, where x is the number of rectangles and y is the perimeter of the combined figure.

PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions

ID: A

6

31. ANS: C PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 32. ANS: D PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 33. ANS:

x-intercept is 67.2; y-intercept is 16.1

PTS: 1 DIF: L3 REF: 5-5 Standard Form 34. ANS:

x-intercept is 3; y-intercept is 18

PTS: 1 DIF: L2 REF: 5-5 Standard Form 35. ANS:

x-intercept is 6; y-intercept is − 83

PTS: 1 DIF: L3 REF: 5-5 Standard Form 36. ANS: C PTS: 1 DIF: L3

REF: 4-1 Using Graphs to Relate Two Quantities 37. ANS: B PTS: 1 DIF: L3

REF: 4-6 Formalizing Relations and Functions 38. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 39. ANS: D PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 40. ANS: A PTS: 1 DIF: L3

REF: 4-3 Patterns and Nonlinear Functions 41. ANS:

m(h) = 4.75h; $8.31

PTS: 1 DIF: L3 REF: 4-5 Writing a Function Rule 42. ANS:

451

dollars per person; the cost is $45 for each person.


641

; Your car travels 64 miles every 1 hour.

PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope

ID: A

7

44. ANS:

b = 220 – 5x


c(p) = 0.30p


h(d) = 0.8d + 9; 15 days

PTS: 1 DIF: L4 REF: 4-5 Writing a Function Rule 47. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 48. ANS: B PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 49. ANS:

Number of Triangles Perimeter

1 16

2 20

3 24

PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions

ID: A

8

50. ANS:

PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear Functions 51. ANS:

d(t) = 2.46t; 24.6 ft


y = –3x – 6


y = 3.4x – 3.3


y = − 23

x + 32

PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form

ID: A

9

55. ANS:

PTS: 1 DIF: L2 REF: 4-4 Graphing a Function Rule 56. ANS:

{29.7, 6, –25.6, –49.3}


PTS: 1 DIF: L3 REF: 4-4 Graphing a Function Rule

ID: A

10

58. ANS:

x C0 451 702 953 120

PTS: 1 DIF: L3 REF: 4-4 Graphing a Function Rule

sreb unit 4 study guide - welcome to our...

Documents