CHAPTER 2 NAME TEST FORM A CLASS SCORE GRADE...

21

CHAPTER 2 NAME TEST FORM A CLASS SCORE GRADE ______________________________________________________________________________

1. Determine whether the ordered pair is a solution of the given equation.

( )0,1 , 5 3 3x y+ =

2. Graph: 2( ) 2.f x x= − − 3. Find the rate of change for the graph below. Use appropriate

units.

Find the slope of the line containing the following points. If the slope is undefined, state this.

4. ( )5, 2− and ( )11, 4− 5. ( )4.1, 2.3 and ( )6.7, 2.3

Find the slope and the y-intercept.

6. 4

( ) 135

f x x= − + 7. 7 4 21y x− − =

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

22

CHAPTER 2 NAME_____________________________ TEST FORM A ______________________________________________________________________________

ANSWERS 8. 9. 10. 11. See graph. 12. See graph. 13. See graph. 14. See graph. 15. See graph.

Find the slope. If the slope is undefined, state this.

8. ( ) 4f x = 9. 5 16x− = 10. Find the intercepts of the line given by 3 2 6.x y− = − Graph.

11. 1

( ) 32

f x x= − 12. ( )14 2

2y x− = +

13. 4 5 20x y− + = 14. 7 9x− = 15. Solve 3 2x x+ = graphically. Then check your answer

by solving the equation algebraically.

23

CHAPTER 2 NAME_____________________________ TEST FORM A ______________________________________________________________________________ 16. Tom broke $270 worth of dishes in his first month as a waiter,

and steadily decreased his breakages to only $60 worth of dishes in his eighth month. Estimate the worth of the dishes Tom broke in his third month as a waiter.

17. Which of these are linear equations?

(a) 26 7 0x − = (b) 11 55x y− = (c) 7 10 2x y+ = Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 3 7 2 ,

4 6 11

y x

x y

+ =− + = −

19. 3 4,

3 5

y x

y x

= − +− =

20. Find a linear function whose graph has slope 4 and y-intercept

(0, –8). 21. Find an equation of the line, in point-slope form, with slope –2

and containing the point (–5, –12). 22. Using function notation, write a slope-intercept equation for the

line containing (–2, 3) and (–3, 2). Find an equation of the line: 23. containing (–2, –3) and parallel to the line 5 4 20x y− = . 24. containing (–2, –3) and perpendicular to the line 5 4 20x y− = . 25. If you rent a car for one day and drive it 200 mi, the cost is $80.

If you drive it 120 mi, the cost is $60. Let C(m) represent the cost, in dollars, of driving m miles.

(a) Find a linear function that fits the data. (b) Use the function to find how much it will cost you to rent the

car for one day and drive it 400 mi.

ANSWERS 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

24

CHAPTER 2 NAME_____________________________ TEST FORM A ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.

26. For the following graph of f, determine (a) f (2); (b) the domain

of f ; (c) any x value for which f (x) = 2; and (d) the range of f.

Find the following, given that 2

( )4

xg x

x

+=−

and 2( ) 6h x x= + .

27. ( 3)h − 28. ( )( )g h x+ 29. The domain of g 30. The domain of g – h 31. The domain of h/g _________________________________________________________ 32. The graph of the function ( ) bmxxf += contains the points

( , 4)r and (7, )s . Express s in terms of r if the graph is parallel to the line 1436 =− yx .

33. Given that 2( ) 6 5f x x= + and ( ) 5 8g x x= − , find an expression

for ( )h x so that the domain of hgf // is

8 9is a real number and and

5 4x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

25

CHAPTER 2 NAME TEST FORM B CLASS SCORE GRADE ______________________________________________________________________________


( )1, 5 , 6 2 16x y+ =

2. Graph: 21( ) 2.

4f x x= −

3. Find the rate of change for the graph below. Use appropriate

units.


4. ( )4, 5− and ( )6, 5− 5. ( )8.8, 2.0− and ( )7.7, 2.4


6. 6

( ) 75

f x x= + 7. 7 3 21y x− + = −

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

26

CHAPTER 2 NAME_____________________________ TEST FORM B ______________________________________________________________________________



8. 3 8x− = 9. ( ) 2f x = − 10. Find the intercepts of the line given by 4 12.x y− = Graph.

11. ( ) 2f x x= − 12. ( )32 4

4y x+ = − −

13. 5 2 10x y− + = 14. 8 13x− = 15. Solve 3 2x x− = graphically. Then check your answer


27

CHAPTER 2 NAME_____________________________ TEST FORM B ______________________________________________________________________________ 16. In 2003, each household in Springfield spent an average of

10 hours per week cutting grass. That time increased steadily to 16 hours per week in 2008. Estimate the average number of hours per week each Springfield household spent on grass cutting in 2005.


(a) 24 0x x− = (b) 5 7 35x y− = (c) 5 2 8x y+ = Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 7 3 ,

2 9 4

y x

x y

− = −+ =

19. 4 5 3,

8 10 4

y x

y x

= − ++ =


(0, 5). 21. Find an equation of the line, in point-slope form, with slope –2

and containing the point (–4, 3). 22. Using function notation, write a slope-intercept equation for the

line containing (–3, 5) and (3, –7). Find an equation of the line: 23. containing (4, 3) and parallel to the line 7 3 14x y− = . 24. containing (4, 3) and perpendicular to the line 7 3 14x y− = . 25. If you rent a car for one day and drive it 100 mi, the cost is $40.




ANSWERS 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

28

CHAPTER 2 NAME_____________________________ TEST FORM B ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.




( )5

xg x

x

−=+

and 2( ) 4h x x= + .

27. ( 3)h − 28. ( )( )g h x+ 29. The domain of g 30. The domain of g – h 31. The domain of h/g _________________________________________________________ 32. The graph of the function ( )f x mx b= + contains the points

( , 2)r and (5, )s . Express s in terms of r if the graph is parallel to the line 8 10x y− = .




3 7x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

29

CHAPTER 2 NAME TEST FORM C CLASS SCORE GRADE ______________________________________________________________________________


( )1, 6 , 7 3 25x y+ =

2. Graph: 2( ) 2.f x x= − + 3. Find the rate of change for the graph below. Use appropriate

units.


4. ( )6, 3− − and ( )2, 5− − 5. ( )0.7, 11.9− and ( )0.4, 10.8


6. 4

( ) 115

f x x= − − 7. 3 5 4y x− − = −

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

30

CHAPTER 2 NAME_____________________________ TEST FORM C ______________________________________________________________________________



8. ( ) 6f x = − 9. 8 12x − = − 10. Find the intercepts of the line given by 3 4 24.x y− = Graph.

11. 1

( ) 32

f x x= − + 12. ( )23 3

3y x− = − +

13. 5 2 10x y− + = − 14. 9 13x− =

15. Solve 1

23

x x+ = graphically. Then check your answer


31

CHAPTER 2 NAME_____________________________ TEST FORM C ______________________________________________________________________________ 16. Zeke spent $50 on coffee in May and steadily increased his

spending on coffee to $74 in September. Estimate his coffee spending in July.


(a) 5 0x − = (b) 25 9 45x y+ = (c) 2 12x y− = − Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 3 7 4 ,

4 3 5

y x

x y

− =− + =

19. 4 6 7,

6 4 8

y x

y x

= − +− =

20. Find a linear function whose graph has slope –7 and y-intercept

(0, –6). 21. Find an equation of the line, in point-slope form, with slope –4

and containing the point (–1, 2). 22. Using function notation, write a slope-intercept equation for the

line containing (1, 3) and (3, 7). Find an equation of the line: 23. containing (2, –5) and parallel to the line 7 4 28x y− = . 24. containing (2, –5) and perpendicular to the line 7 4 28x y− = . 25. If you rent a car for one day and drive it 250 mi, the cost is $75.




ANSWERS

16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

32

CHAPTER 2 NAME_____________________________ TEST FORM C ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.

26. For the following graph of f, determine (a) f (3); (b) the domain of f ; (c) any x value for which f (x) = 2; and (d) the range of f.


( )2

xg x

x

+=−

and 2( ) 4h x x= + .


( , 6)r and (9, )s . Express s in terms of r if the graph is parallel to the line 4 5 18x y− = .

33. Given that 2( ) 7 6f x x= + and ( ) 4 7g x x= − , find an expression for ( )h x so that the domain of hgf // is

7 7

is a real number and and 4 6

x x x x⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

33

CHAPTER 2 NAME TEST FORM D CLASS SCORE GRADE ______________________________________________________________________________ 1. Determine whether the ordered pair is a solution of the given

equation. ( )1, 3 , 3 4 9x y− + =

2. Graph: 2( ) 3.f x x= + 3. Find the rate of change for the graph below. Use appropriate

units.


4. ( )6, 2− and ( )4, 2− 5. ( )1.7, 2.3− and ( )2.8, 4.5−


6. 3

( ) 127

f x x= − + 7. 3 5 20y x− + =

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

34

CHAPTER 2 NAME_____________________________ TEST FORM D ______________________________________________________________________________



8. 2 4x + = − 9. 1

( )2

f x =

10. Find the intercepts of the line given by 2 5 20.x y− = − Graph.

11. ( ) 2 3f x x= − 12. ( )12 4

4y x− = − +

13. 3 5 15x y+ = 14. 6 3x− =

15. Solve 3 2x x− = − graphically. Then check your answer by solving the equation algebraically.

35

CHAPTER 2 NAME_____________________________ TEST FORM D ______________________________________________________________________________ 16. Cassandra spent $85 on gasoline in July and steadily decreased

her monthly spending on gas to $65 in January. Estimate her spending on gasoline in October.


(a) 3 5 0x − = (b) 22 3 11x y− = (c) 6 7 30x y+ = Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 4 13 2 ,

2 5 7

y x

x y

− =− + =

19. 6 5 9,

5 6 7

y x

y x

= − +− =


(0, –4). 21. Find an equation of the line, in point-slope form, with slope 5

and containing the point (8, –4). 22. Using function notation, write a slope-intercept equation for the

line containing (–1, 5) and (–4, 6). Find an equation of the line: 23. containing (4, 3) and parallel to the line 6 4 24x y− = . 24. containing (4, 3) and perpendicular to the line 6 4 24x y− = . 25. If you rent a car for one day and drive it 100 mi, the cost is $55.




ANSWERS

16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

36

CHAPTER 2 NAME_____________________________ TEST FORM D ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.




( )4

xg x

x

−=+

and 2( ) 5h x x= + .





10is a real number and and 1

7x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

37

CHAPTER 2 NAME TEST FORM E CLASS SCORE GRADE ______________________________________________________________________________ 1. Determine whether the ordered pair is a solution of the given

equation. ( )1, 4 , 4 5 16x y− + =

2. Graph: 2( ) 4.f x x= − 3. Find the rate of change for the graph below. Use appropriate

units.


4. ( )8, 5− and ( )8, 2− − 5. ( )0.6, 10.7 and ( )0.5, 7.4−


6. 2

( ) 143

f x x= − 7. 3 7 14y x− =

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

38

CHAPTER 2 NAME_____________________________ TEST FORM E ______________________________________________________________________________



8. ( ) 3f x = − 9. 6 2x + = 10. Find the intercepts of the line given by 5 20.x y+ = Graph.

11. ( ) 2f x x= − + 12. ( )13 4

2y x+ = − −

13. 4 3 12x y+ = − 14. 5 3x− =

15. Solve 1

32

x x+ = − graphically. Then check your answer


39

CHAPTER 2 NAME_____________________________ TEST FORM E ______________________________________________________________________________ 16. In 2004, 38 fist-fights broke out in Shakeytown over the public

use of cellular phones, and in 2008 there were 122 such fights. Estimate the number of fights over cell phones in Shakeytown in 2007.


(a) 4 2 0x− − = (b) 4 5 9x y− = (c) 2 26 20x y− = Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 2 3 7 ,

7 2 5

y x

x y

+ =− + = −

19. 8 8 7,

9 9 11

y x

y x

= ++ =


(0, 5). 21. Find an equation of the line, in point-slope form, with slope 2


line containing (3, –3) and (4, –5). Find an equation of the line: 23. containing (4, –1) and parallel to the line 3 6 18x y− = . 24. containing (4, –1) and perpendicular to the line 3 6 18x y− = . 25. If you rent a car for one day and drive it 120 mi, the cost is $82.




ANSWERS

16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

40

CHAPTER 2 NAME_____________________________ TEST FORM E ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.


of f ; (c) any x value for which f (x) = –3; and (d) the range of f.


( )9

xg x

x

+=−

and 2( ) 5h x x= + .



33. Given that 2( ) 9 8f x x= + and ( ) 2 6g x x= − , find an expression for ( )h x so that the domain of hgf // is

5

is a real number and 3 and 8

x x x x⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

41

CHAPTER 2 NAME TEST FORM F CLASS SCORE GRADE ______________________________________________________________________________ 1. Determine whether the ordered pair is a solution of the given

equation. ( )0, 2 , 7 8 16x y+ =

2. Graph: 21( ) 3.

4f x x= − +

3. Find the rate of change for the graph below. Use appropriate

units.


4. ( )3, 8− and ( )2, 4− − 5. ( )4.2, 1.4 and ( )4.2, 2.7−


6. 3

( ) 74

f x x= − + 7. 5 11 55y x+ = −

ANSWERS

1. 2. See graph. 3. 4. 5. 6. 7.

42

CHAPTER 2 NAME_____________________________ TEST FORM F ______________________________________________________________________________



8. 2 6x− + = 9. ( ) 0.5f x = 10. Find the intercepts of the line given by 3 4 12.x y− + = Graph.

11. ( ) 2 3f x x= − + 12. ( )21 3

3y x− = −

13. 5 4 20x y+ = 14. 8 12x− = 15. Solve 2 4x x− = − + graphically. Then check your answer


43

CHAPTER 2 NAME_____________________________ TEST FORM F ______________________________________________________________________________ 16. In 2000, 105,000 people ate at The Loony Spoon, and 215,000

customers ate there in 2008. Estimate the number of people who ate at The Loony Spoon in 2003.


(a) 3 5 0x − = (b) 6 3 20x y− = (c) 28 11 2x y− = − Without graphing, determine whether each pair of lines is parallel, perpendicular, or neither.

18. 6 11 2 ,

6 18 13

y x

x y

+ =− + = −

19. 12 7 5,

7 12 6

y x

y x

= − −− =


(0, –5).

21. Find an equation of the line, in point-slope form, with slope 1

2


line containing (–2, –6) and (1, 2). Find an equation of the line: 23. containing (–2, 5) and parallel to the line 6 3 18x y− = . 24. containing (–2, 5) and perpendicular to the line 6 3 18x y− = . 25. If you rent a car for one day and drive it 100 mi, the cost is $65.




ANSWERS

16. 17. 18. 19. 20. 21. 22. 23. 24. 25. (a)

(b)

44

CHAPTER 2 NAME_____________________________ TEST FORM F ______________________________________________________________________________

ANSWERS 26. (a)

(b)

(c)

(d) 27. 28. 29. 30. 31. 32. 33.




( )5

xg x

x

−=+

and 2( ) 3h x x= + .






2 3x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

45

CHAPTER 2 NAME TEST FORM G CLASS SCORE GRADE ______________________________________________________________________________ 1. Which ordered pair is a solution of the equation 1523 =+ yx ?

a) ( )3, 3 b) ( )2, 3 c) ( )3, 3− − d) ( )3, 2 2. Find the rate of change for the graph below. Use appropriate

units.

a) 40 mi/hr b) 48 mi/hr c) 63 mi/hr d) 55 mi/hr

3. Find the slope of the line containing the points ( )1, 2− and

( )4, 7 .

a) 3 b) 3

1 c) 0 d) 3−

4. Find the slope and y-intercept of 2

( ) 43

f x x= − .

a) ( )2; 4, 0

3− b) ( )2

; 0, 43

−

c) 2

4; 0,3

⎛ ⎞− ⎜ ⎟⎝ ⎠

d) ( )2; 0, 4

3

5. Find the slope and y-intercept of 7149 =+ xy .

a) 14 7

; 0,9 9

⎛ ⎞− −⎜ ⎟⎝ ⎠

b) 14 7

; 0,9 9

⎛ ⎞⎜ ⎟⎝ ⎠

c) 14 7

; 0,9 9

⎛ ⎞− ⎜ ⎟⎝ ⎠

d) 9 7

; 0,14 9

⎛ ⎞− ⎜ ⎟⎝ ⎠

ANSWERS

1. 2. 3. 4. 5.

46

CHAPTER 2 NAME_____________________________ TEST FORM G ______________________________________________________________________________

6. Find the slope of ( ) 1

2f x = − .

a) Undefined b) 2 c) 1

2− d) 0

7. Find the intercepts of 873 −=+− yx .

a) 8

, 03

⎛ ⎞⎜ ⎟⎝ ⎠

and 8

0,7

⎛ ⎞⎜ ⎟⎝ ⎠

b) 8

, 03

⎛ ⎞−⎜ ⎟⎝ ⎠

and 8

0,7

⎛ ⎞−⎜ ⎟⎝ ⎠

c) 8

, 03

⎛ ⎞⎜ ⎟⎝ ⎠

and 8

0,7

⎛ ⎞−⎜ ⎟⎝ ⎠

d) 8

, 07

⎛ ⎞−⎜ ⎟⎝ ⎠

and 8

0,3

⎛ ⎞⎜ ⎟⎝ ⎠

8. Which graph represents 2

( ) 23

f x x= − − ?

a) b) c) d)

ANSWERS

6. 7. 8.

47

CHAPTER 2 NAME_____________________________ TEST FORM G ______________________________________________________________________________ 9. Which graph represents 3 4 12x y− + = − ?

a) b) c) d) 10. Which graph represents 4 1x − = ?

a) b)

c) d)

ANSWERS

9. 10.

48


ANSWERS 11. 12. 13. 14. 15. 16.

11. There were 30 absences from Fahid’s electronics class during the

first week. Absenteeism dropped steadily to 6 absences during the ninth week. Estimate the number of absences during the fourth week.

a) 14 b) 21 c) 22 d) 10 12. Which equation is NOT linear?

a) 3 4 3 7y x x+ − = − b) 4 3x y= −

c) 32 5x y= − d) 8x = − 13. Find a linear function whose graph has slope 6 and y-intercept ( )0, 5− .

a) ( ) 6 5f x x= − − b) ( ) 6 5f x x= −

c) ( ) 6 5f x x= − + d) ( ) 5 6f x x= − +

14. Find an equation in point-slope form of the line with slope 4 and containing ( )4, 6− − .

a) ( )644 +−=+ xy b) ( )446 +=+ xy

c) ( )446 −=− xy d) ( )446 +−=+ xy 15. Using function notation, write a slope-intercept equation for the

line containing ( )4, 6− and ( )8, 3− − .

a) ( ) 15

4f x x= − − b) ( ) 4 10f x x= − +

c) ( ) 17

4f x x= − − d) ( ) 1

74

f x x= −

16. Which line is parallel to 7 8 4y x− = − ?

a) 7 4 8x y− = b) 4 8 7x y+ = c) 3 7 8x y+ = − d) 4 7 8x y+ = −

49

CHAPTER 2 NAME_____________________________ TEST FORM G ______________________________________________________________________________ 17. Find an equation of the line containing ( )4, 3− and perpendicular

to the line 1472 =− yx .

a) 112

7 −−= xy b) 112

7 +−= xy

c) 117

2 −= xy d) 172

7 −−= xy

18. If you rent a car for one day and drive it 100 miles, the cost is $70. If you drive it for 250 miles, the cost is $115. How much will it cost you to rent the car for one day and drive it 350 mi?

a) $185 b) $161 c) $145 d) $245 19. For the following graph of f, determine the domain of f.

a) { }4 3x x− ≤ ≤ b) { }3 4x x− ≤ ≤

c) { }6 2x x− ≤ ≤ d) { }4 3x x− ≤ ≤ −

For Exercises 20–22, use 1

( )4

g xx

=−

and 2( ) 9h x x= − .

20. Find ( )( )2g h+ .

a) 5

2 b)

11

2− c)

15

2− d)

1

2−

ANSWERS

17. 18. 19. 20.

50


ANSWERS 21. 22. 23. 24.

21. Find the domain of h.

a) { }| is a real numberx x

b) { }| is a real number and 4x x x ≠

c) { }| is a real number and 3 and 3x x x x≠ − ≠

d) { }| is a real number and 0x x x ≠

22. Find the domain of g/h.


b) { }| is a real number and 4x x x ≠


d) { }| is a real number and 3 and 3 and 4x x x x x≠ − ≠ ≠

_________________________________________________________ 23. The graph of the function ( )f x mx b= + contains the points

( ), 9r and ( )3, s . Express s in terms of r if the graph is parallel

to the line 8 24x y− = .

a) 1 75

8 8s r= − + b)

1 1

8 8s r= +

c) 75 1

8 8s r= + d)

75 1

8 8s r= −

24. Given that ( ) 23 2f x x= + and ( ) 8 11g x x= − , find an expression

for ( )h x so that the domain of / /f g h is

11is a real number and and 3

8x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

a) ( ) 3+= xxh b) ( ) 33 −= xxh

c) ( ) 3−= xxh d) ( ) 33 += xxh

51

CHAPTER 2 NAME TEST FORM H CLASS SCORE GRADE ______________________________________________________________________________ 1. Which ordered pair is a solution of the equation 2 3x y+ = − ?

a) ( )1, 5− b) ( )1, 5− c) ( )1, 5− − d) ( )1, 5 2. Find the rate of change for the graph below. Use appropriate

units.

a) 51 mi/hr b) 45 mi/hr c) 30 mi/hr d) 50 mi/hr

3. Find the slope of the line containing the points ( )2, 6− and

( )1, 3− .

a) 3 b) 3− c) 4 d) 4−

4. Find the slope and y-intercept of 1

( ) 52

f x x= − + .

a) 1

5; 0,2

⎛ ⎞−⎜ ⎟⎝ ⎠

b) ( )1; 0, 5

2− −

c) ( )1; 5, 0

2− d) ( )1

; 0, 52

−

5. Find the slope and y-intercept of 7 4 35y x− = − .

a) ( )4; 0, 5

7− b) ( )7

; 0, 54

−

c) ( )4; 0, 5

7 d) ( )4

; 0, 57

− −

ANSWERS

1. 2. 3. 4. 5.

52

CHAPTER 2 NAME_____________________________ TEST FORM H ______________________________________________________________________________

6. Find the slope of 4 6x − = .

a) Undefined b) 10 c) 2 d) 0 7. Find the intercepts of 3 13 6x y+ = .

a) ( )2, 0− and 6

0,13

⎛ ⎞−⎜ ⎟⎝ ⎠

b) 6

, 013⎛ ⎞⎜ ⎟⎝ ⎠

and ( )0, 2

c) ( )2, 0 and 6

0,13

⎛ ⎞⎜ ⎟⎝ ⎠

d) ( )2, 0− and 6

0,13

⎛ ⎞⎜ ⎟⎝ ⎠

8. Which graph represents 2

( ) 33

f x x= + ?

a) b) c) d)

ANSWERS

6. 7. 8.

53

CHAPTER 2 NAME_____________________________ TEST FORM H ______________________________________________________________________________ 9. Which graph represents 2 3 6x y− = − ?

a) b) c) d) 10. Which graph represents ( ) 2f x = − ?

a) b)

c) d)

ANSWERS

9. 10.

54


ANSWERS 11. 12. 13. 14. 15. 16.

11. Janis could bench-press 100 lb in February, eventually increasing

her bench-press to 180 lb in August. Estimate the weight Janis was able to bench-press in May.

a) 120 lb b) 150 lb c) 140 lb d) 160 lb 12. Which equation is NOT linear?

a) 2 5x y= − b) 3 4 2 8y x x+ − = −

c) 34 2x y= − d) 2y = −

13. Find a linear function whose graph has slope –4 and y-intercept ( )0, 9 .

a) ( ) 4 9f x x= − b) ( ) 4 9f x x= − −

c) ( ) 9 4f x x= − d) ( ) 4 9f x x= − +

14. Find an equation in point-slope form of the line with slope –2 and containing ( )4, 7− − .

a) ( )7 2 4y x− = − − b) ( )7 2 4y x+ = − +

c) ( )7 2 4y x+ = − − d) ( )7 2 4y x+ = +

15. Using function notation, write a slope-intercept equation for the

line containing ( )2, 3− and ( )6, 5− − .

a) ( ) 2 7f x x= + b) ( ) 2 7f x x= −

c) ( ) 14

2f x x= + d) ( ) 2 8f x x= −

16. Which line is parallel to 6 5 4y x− = − ?

a) 4 6 5x y− = b) 4 6 5x y+ = − c) 6 4 5x y+ = d) 4 6 5x y− + = −

55

CHAPTER 2 NAME_____________________________ TEST FORM H ______________________________________________________________________________ 17. Find an equation of the line containing ( )4, 3− − and

perpendicular to the line 1472 =− yx .

a) 2 13

7 7y x= − b)

717

2y x= − +

c) 2 13

7 7y x= − + d)

717

2y x= − −

18. If you rent a car for one day and drive it 100 miles, the cost is $55. If you drive it for 220 miles, the cost is $85. How much will it cost you to rent the car for one day and drive it 320 mi?

a) $140 b) $124 c) $110 d) $176 19. For the following graph of f, determine the domain of f.

a) { }2 3x x− ≤ ≤ b) { }3 5x x− ≤ ≤

c) { }2 4x x− ≤ ≤ d) { }4 3x x− ≤ ≤ −

For Exercises 20–22, use 1

( )3

g xx

=+

and 2( ) 4h x x= − .

20. Find ( ) ( )4g h+ − .

a) 21− b) 11 c) 12− d) 13−

ANSWERS

17. 18. 19. 20.

56


ANSWERS 21. 22. 23. 24.

21. Find the domain of h.


b) { }| is a real number and 3x x x ≠ −


d) { }| is a real number and 0x x x ≠

22. Find the domain of g/h.


b) { }| is a real number and 3 and 2 and 2x x x x x≠ − ≠ − ≠


d) { }| is a real number and 3x x x ≠ −

_________________________________________________________ 23. The graph of the function ( )f x mx b= + contains the points

( , 8)r and (2, )s . Express s in terms of r if the graph is parallel to the line 2 7 22x y+ = .

a) 2 52

7 7s r= + b)

7 52

2 7s r= +

c) 7 52

2 2s r= + d)

2 52

7 7s r= −


for ( )h x so that the domain of / /f g h is


3 9x x x x

⎧ ⎫≠ ≠⎨ ⎬⎩ ⎭

.

a) ( ) 9 4h x x= + b) ( ) 4 9h x x= −

c) ( ) 4 3h x x= − d) ( ) 9 4h x x= −

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CHAPTER 2 NAME TEST FORM A CLASS SCORE GRADE...

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