Find the Domain and Range for Each of the Following

Find the Domain and Range for Each of the Following

Domain and Range

Class Work

Find the domain and range for each of the following

1. {(1,2), (3,4), (5,6)}

2. {(4,3), (3,2), (4,2)}

3. {(5,1), (3,1), (-4,1)}

4.5.6.

7. 8. 9.

10.11.

12.13.

Homework

Find the domain and range for each of the following

14. {(3,1), (-2,6), (1,4)}

15. {(1,2), (2,2), (1,2)}

16. {(2,1), (5,1), (-6,7)}

17.18.19.

20. 21. 22.

23.24.

25.26.

Discrete vs. Continuous

Class Work

Is the relation discrete or continuous?

47. {(1,2), (3,4), (5,6)}

48. {(4,3), (3,2), (4,2)}

49. {(5,1), (3,1), (-4,1)}

50.51.52.

53. 54. 55.

56.57.

58.59.

Homework

Is the relation discrete or continuous?

60. {(3,1), (-2,6), (1,4)}

61. {(1,2), (2,2), (1,2)}

62. {(2,1), (5,1), (-6,7)}

63.64.65.

66. 67. 68.

69.70.

71.72.

Relations and Functions

Class Work

Is the relation a function?

73. {(1,2), (3,4), (5,6)}

74. {(4,3), (3,2), (4,2)}

75. {(5,1), (3,1), (-4,1)}

76.77.78.

79. 80. 81.

82.83.

84.85.

Homework

Is the relation a function?

86. {(3,1), (-2,6), (1,4)}

87. {(1,2), (2,2), (1,2)}

88. {(2,1), (5,1), (-6,7)}

89.90.91.

92. 93. 94.

95.96.

97.98.

Evaluating Functions

Class Work

Let f(x)= 3x+4 and g(x)= |x-4|, find the following

99. f(2)

100.f(3)

101. g(6)

102. g(2)

103. 2f(6)

104. .5g(2)

105. f(4) – g(3)

106. g(5) – f(5)

107. f(0)2

108. g(3)3

109. g(a)

110. f(2b)

Class Work

Let f(x)= (x-1)2 and g(x)= |2x-3|, find the following

111. f(2)

112.f(3)

113. g(6)

114. g(2)

115. 2f(6)

116. .5g(2)

117. f(4) – g(3)

118. g(5) – f(5)

119. f(0)2

120. g(3)3

121. g(a)

122. f(2b)

Graphing Linear Equations Chapter Problems

Graph using a table

Classwork

For the equations below, make a tablewith at least 3 ordered pairs, plot the points and connect them to form the line.

123.y = 3x – 4

  1. y = -2x + 4
  2. y = x – 3
  3. y = x + 4
  4. y = - x + 1

Homework

For the equations below, make a tablewith at least 3 ordered pairs, plot the points and connect them to form the line.

  1. y = -x – 2
  2. y = 2x + 1
  3. y = x
  4. y = -2x – 2
  5. y = - x + 4

Graph using the slope and y-intercept

Classwork

  1. Use lines A, B, C and D to answers the questions.
  1. What is the y-intercept of each line?
  2. Is the slope of each line positive, negative, zero or undefined?
  1. What is the slope of lines E, F, G and H?
  1. What are the equations of lines E, F ,G and H?

Homework

  1. Use lines I, J, K and L to answers the questions.
  1. What is the y-intercept of each line?
  2. Is the slope of each line positive, negative, zero or undefined?
  1. What are the slopes of lines M, N, O and P?
  1. What is the equation of lines M, N, O and P?

Graph using intercepts

Classwork

Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.

  1. y = 3x + 4
  2. y = -2x + 3
  3. y = x + 7
  4. y = x – 2
  5. y = - 3x
  6. y = - x + 5
  7. y – 4 = 2(x – 5)
  8. y + 5 = -3(x – 4)
  9. y + 6 = (x – 6)
  10. y – 3 = (x + 7)

Homework

Rewrite the equations in standard form. Graph the intercepts and then the line that passes through them.

  1. y = 6x + 4
  2. y = -3x – 2
  3. y = x – 3
  4. y = x + 4
  5. y = - x – 2
  6. y = -7x
  7. y – 5 = 2(x – 3)
  8. y + 2 = -4(x – 2)
  9. y – 3 = (x – 3)
  10. y + 1 = 2(x + 1)

Horizontal & Vertical Lines

Classwork

Determine if the following equations are horizontal, vertical, neither or cannot be determined.

  1. y = -5
  2. x = 7
  3. 2x + 4y = 8
  4. 7x – 21 = 0
  5. 3x + 2y = 3x – 4

Homework

Determine if the following equations are horizontal, vertical, neither or cannot be determined.

  1. x = -5
  2. y = 7
  3. 8x + -4y = -2
  4. -6x – 3y = -6x + 2
  5. -8x = -24

Slope Formula

Classwork

Find the slope of the line through each of the following two points.

  1. (-12,-5), (0,-8)
  2. (12,-18),(11,12)
  3. (-18,-20),(-18,-15)
  4. (-20,-4),(-12,-10)
  5. (8,10),(0,14)
  6. (6,9),(3,-9)
  7. (1,2),(5,7)
  8. (3,-3),(12,-2)
  9. (-4,-8),(-1,1)
  10. (4,7),(-3,7)

Homework

Find the slope of the line through each of the following two points.

  1. (3,-9),(1,1)
  2. (7,4),(3,8)
  3. (-3,0),(5,12)
  4. (8,-2),(12,-2)
  5. (6,-3),(2,9)
  6. (-3,7),(-4,8)
  7. (5,9),(5,-8)
  8. (-5, 0.5),(-6,3)
  9. (-7,1),(7,8)
  10. (-2,1),(5,7)

Parallel and Perpendicular Lines

Classwork

Match the following parallel equations from each column.

  1. y = 3x – 2
  2. y = -2x + 1
  3. y = x – 7
  4. 6x – 2 = 7y
  5. 2(y + x) = 18
  6. 3y = x + 18
  7. -4x + 17 = 2y
  8. 7y – 6x = 0
  9. -5(3y – 9x) = 30
  10. 14y = 12x + 28

Match the following perpendicular equations from each column.

  1. y = -4x – 4
  2. 2y = 3x + 12
  3. 7x + y = -10
  4. y – 5 = (x + 4)
  5. 3(4y + 8x) = 0
  6. y + 3 = -2(x – 5)
  7. 4y = x – 4
  8. 2x = 14y -8
  9. y + 4 = (x – 4)
  10. 2x + 3y = 15

  1. Write an equation that would be parallel to the line y = 4x + 7
  1. Write an equation that would be perpendicular to the line 4x + 6y = -12

Homework

Match the following parallel equations from each column.

  1. y = 3x+ 7
  2. 4y = 16x + 12
  3. 6x + 12y = 1
  4. y – 4 = (x – 11)
  5. 0 = 22x – 11y
  6. 24x – 6y = 18
  7. y + 5 = 2(x – 13)
  8. 2y + x = 24
  9. 3(15y – 12x) = 27
  10. -12x = -4y – 16

Match the following perpendicular equations from each column.

  1. 6y = -12x + 9
  2. y – 4 = (x + 7)
  3. 5(2x – 8y) = 35
  4. 35x – 5y = 0
  5. 19 + y = -3x
  6. y – 9 = -4(x – 2)
  7. 3x + 21y = 0
  8. 8(14y – 7x) = 24
  9. y = -5x + 5
  10. -10x + 30y + 20 = 0

  1. Write an equation that would be parallel to the line 6y = -24y– 18
  1. Write an equation that would be perpendicular to the line y – 4 = (x + 4)

Graph using point slope

Classwork

Graph each equation

  1. y – 2 = (x – 3)
  2. y + 5 = 2(x + 2)
  3. y – 4 = -3(x – 3)
  4. y + 7 = (x – 1)
  5. y – 3 = - (x + 5)

Homework

Graph each equation

  1. y – 2 = (x + 4)
  2. y + 5 = -2(x – 4)
  3. y – 1 = 4(x – 2)
  4. y – 5 = - (x – 1)
  5. y – 0 = (x – 3)

How to write equations from given information

Classwork

  1. Write an equation in point slope form for the line through the given point with the given slope.
  2. (3,4); m = 6
  3. (-2,-7); m = -
  4. (7,-4); m = -3
  5. (4,0); m = 1
  6. (-4,-4); m =
  1. A line passes through the given points. First write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.
  2. (-1,0), (1,2)
  3. (3,5), (0,0)
  4. (6,-2), (9,-8)
  5. (-1,-5), (-7,-6)
  6. (-3,4), (3,-2)
  1. Write the equation of the line through the given points in standard form.
  2. (6,3), (-4, 2)
  3. (12,3), (-8,-4)
  4. (15,-4), (8, -3)
  5. (7,2), (8,5)
  6. (20,-10), (-30, 0)
  1. A line has an x-intercept of 8 and y-intercept of 12.
  2. Write an equation for the line.
  3. Write an equation that is parallel to this line.
  4. Write an equation that is perpendicular to the line from part a.
  1. Write the equation of the line through (-3,-2) and is parallel to the line y = -2x + 5
  1. Write the equation of the line through (7,4) and perpendicular to y = x – 5

Homework

  1. Write an equation in point slope form for the line through the given point with the given slope.
  2. (5,-4); m = -2
  3. (-2, -3); m = 4
  4. (7,4); m =
  5. (9,-9); m = 3
  6. (6,0); m = -
  7. A line passes through the given points. First write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.
  8. (-10,-50), (5,25)
  9. (0,10), (10,-20)
  10. (0.5,9), (50,-90)
  11. (8,9), (5,-6)
  12. (-7, 4), (-3,6)
  1. Write the equation of the line through the given points in standard form.
  2. (1,4), (-1,1)
  3. (5,-3), (3,4)
  4. (2,4), (-3,-6)
  5. (5,3), (4,5)
  6. (0,0), (-1,-2)
  1. A line has an x-intercept of -4 and y-intercept of 16.
  2. Write an equation for the line.
  3. Write an equation that is parallel to this line.
  4. Write an equation that is perpendicular to the line from part a.
  1. Write the equation of the line through (8,5) and is parallel to the line y = x + 7
  1. Write the equation of the line through (-2,5) and perpendicular to y = - x + 3

Scatter Plots and Lines of Best Fit

Classwork

255. Predict the test score of someone who spends 48 minutes studying.

256 Predict the test score of someone who spends 34 minutes studying.

257. Draw a scatter plot from the following data:

Size of shoe Height (inches)

5 55

5.5 58

6 62

7 68

6.5 63

7.3 70

8 79

8.7 88

258. Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and B

A and C

D and B

There is no pattern

259.Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and B

B and C

C and D

There is no pattern

Homework

260. Using the scatter graph, predict the mile time of someone who spends 6 hours a week training.

261. Using the scatter graph, predict the mile time of someone who spends 12 hours a week training.

262. Draw a scatter graph from the following data,

Time spent studying (min)Grade

5597

3178

5290

2061

4284

4790

3181

263. Consider the scatter graph to answer the following:

Which point would most likely be on the line best fit?

A

B

C

There would be no line of best fit

264. Consider the scatter graph to answer the following:

Which two points would give the line of best fit?

A and D

A and C

B and D

There is no pattern

Determining the Prediction Equation

Class Work

265. Use the two points (7,14) and (15,27)

to write an equation for the line of best fit.

266. If the prediction equation is y=.5t+60, where

t represents time in minutes, what will the person get on his test if he studies for 45 minutes?

267. If the prediction equation to determine a test grade is y=.5t+60, and someone received an 80 on the test, how long did they study for?

Consider the scatter graph to answer 268-270:

268. What is the slope of the line of best fit that

passes through (3.4, 7) and (8, 3)?

269. What is the y-intercept of the line of best fit that

passes through (3.4, 7) and (8, 3)?

270. Consider the scatter graph to answer the

following: The equation for the line of best fit is

y = -1.06x + 10.7. Determine the value for x=15?

Is this an interpolation or extrapolation?

Homework

271. Using the scatter graph below use the two

points (3.4, 7) and (9, 1) to write an equation for

the line of best fit.

272. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, what grade will someone earn if they study for 30 minutes.

273. If the prediction equation for a test grade is y=.52t+65, where t represents the time in minutes, how long did someone study for if they received an 83 on the exam?

Consider the scatter graph to answer 274-276:

274. What is the slope of the line of best fit passing

through (2.7, 11.1) and (9.4, 3.7)?

275. What is the y-intercept of the line of best fit

passing through (2.7, 11.1) and (9.4, 3.7)?

276. Consider the scatter graph. The equation for the line of best fit is y= -.98x+13.6. Determine the value for x=5. Is this an interpolation or extrapolation?

Absolute Value Functions

Class Work

On a separate sheet of paper, graph the following. Sate the domain and range of each.

  1. y = |x|
  2. y =|x + 3|
  3. y = |x – 2|
  4. y = |x + 4|
  5. y = |x – 3|
  6. y = |x| + 3
  7. y = |x| - 2
  8. y = |x| + 4
  9. y = |x| - 3
  10. y = |x - 6| - 2
  11. y = |x + 4| +3
  12. y =-|x|
  13. y= 3|x|
  14. y = -2|x+4| +3
  15. y = .5|x – 6| -2

Homework

On a separate sheet of paper, graph the following. Sate the domain and range of each.

  1. y =|x - 3|
  2. y = |x + 2|
  3. y = |x - 4|
  4. y = |x + 3|
  5. y = |x| - 3
  6. y = |x| + 2
  7. y = |x| - 4
  8. y = |x| + 3
  9. y = |x + 6| + 2
  10. y = |x - 4| - 3
  11. y =|-x|
  12. y= -3|x|
  13. y = 2|x - 4| - 3
  14. y = -.5|x + 6| + 2

Greatest Integer Function

Class Work

Evaluate the following.

  1. [2.2]
  2. [3.5]
  3. [5.9]
  4. [7.98]
  5. [8]
  6. [-3.9]
  7. [-3.4]
  8. [0]
  9. [3.2 +4.5]
  10. [6.1 – 6.7]

On a separate sheet of paper graph

316. y = [x + 1]

317.f(x)= 2[x]

318.g(x)=-[x]

319.h(x)= [x] -3

Homework

Evaluate the following.

  1. [3.4]
  2. [3.8]
  3. [7.95]
  4. [9.98]
  5. [10]
  6. [-3.8]
  7. [-2.3]
  8. [0.1]
  9. [3(2.1)]
  10. [-2(4.2)]

On a separate sheet of paper graph

330. y = [x - 1]

331.f(x)= 3[x]

332.g(x)=[-x]

333.h(x)= [x] + 3

Piecewise Functions

Class Work

334.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

335.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph f

336.

a. f(-2)

b. f(1)

c. f(4)

d. state the domain and range of f

e. graph f

337.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

338.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph

Homework

339.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

340.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph f

341.

a. f(-2)

b. f(1)

c. f(4)

d. state the domain and range of f

e. graph f

342.

a. f(-2)

b. f(0)

c. f(4)

d. state the domain and range of f

e. graph f

343.

a. f(-2)

b. f(2)

c. f(4)

d. state the domain and range of f

e. graph

Graphing Linear Inequalities

Class Work

Graph the following inequalities

344.

345.

346.

347.

348.

349.

Write the equation for the inequality graphed.

350.351.

Class Work

Graph the following inequalities

352.

353.

354.

355.

356.

357.

Write the equation for the inequality graphed.

358.359.

Linear Relations- Multiple Choice

1. Find the domain of {(1,3), (5,6), (6,8)}

A. {1, 5, 8}

B. {1, 5, 6}

C. {3, 6, 8}

D. Set of Reals

2. Find the range of f(x)= |x - 2| +3

A. [3, ∞]

B. [1, ∞)

C.(1, ∞)

D. [3, ∞)

3. What is domain of the following graph?

A. {x| -10 x 10}

B. {x| -10< x< 10}

C. {x| -6 x -2 or 0 x 6}

D. {x| -10 x -4 or -2 x< 4 or 6 x 10}

4. Which choice represents a discrete set?

A. the time it takes people to tie their shoes

B. amount of rain in a given week

C. number of people attending a play

D. the number of rotations of a wheel

5. Which of the following is a function?

A. x2 + y2 = 4

B.x + y2 = 4

C.x2 + y = 4

D.4x2 + y2 = 4

6. Given f(x) = 2(x-6)2 +2, find f(3)

A. 2

B. 20

C. 29

D. 38

7. The x-intercept of 4x + 3y = 12 is

A. 4

B. (4,0)

C. 3

D. (3,0)

8. The slope of 4x + 3y = 12 is

A. 4

B. -4

C.

D.

X / Y
0 / 3
2 / 5
3 / 7

9. The equation of the line containing the points in the table is

A. y= x + 3

B. y= 2x + 3

C. y= x + 3

D. Points in table are not collinear

10. A line parallel to y = 2x + 6 is

A. y= 2x -1

B. y-4 = 2(x+3)

C. 10x – 5y = 7

D. All of the above

11. The slope of a line perpendicular to the line thru (3,6) and (5,2) is

A. -2

B.

C.

D. 2

12. An example of a line with no slope is

A. y = x

B. y = 3

C. x = 2

D. y = 0 – x

13. A line thru (3,-2) and (4,6) has equation

A. y – 6 = 8(x – 4)

B. y – 6 = 4(x – 4)

C. y + 2 = 8(x + 3)

D. Both A and C

14. The equation of a line perpendicular to f(x) is

A. y= -2x +4

B. y= 2x + 5

C. y= x – 3

D. y= x

15. Using the graph of f(x), find f(6).

A. -1

B. -2

C. -3

D. Undefined

In 16 and 17, consider the piecewise function

16. Find g(3)

A. -9

B. 1

C. -9 or 1

D. Does not exist

17. The slope at x=1 is

A. -3

B. -1

C. 1

D. 0

18. Find [3.75]

A. 3

B. 3.7

C. 3.8

D. 4

19. Find [-4.14]

A. -5

B. -4.2

C. -4.1

D. -4

20. When graphing y > 2x -3

A. solid boundary and shade above

B. dotted boundary and shade above

C. solid boundary and shade below

D. dotted boundary and shade below

21. Which point could be used as a test point to decide where to shade when graphing y > 4x?

A. (0 ,0)

B. (-2 ,-8)

C. ( 3 , 10)

D. both B and C

Extended Response

1. An employer offers $12 an hour for the first eight hours of work and 1.5 times that rate for overtime.

a. Create a piecewise function that models this situation.

b. Make a graph of the equation in part A (Let the domain be [0,15])

c. How much does a person make if they work 10 hours?

d. If a raise of $2 was given, describe how the piecewise function would change.

2. Cal C.’s grandmother offers him $5 for every A he receives on his report card.

a. If he takes 8 classes, what are the domain and range?

b. Is the answer in part A discrete or continuous? Is it a function?

c. If his grandfather gives him $10 for finishing the marking period, write an equation for how much he can make with one report card.

3. Line segment connects A(4,2) and B(7,6).

a. What is the slope of ?

b. is the side of a rectangle, what are the slopes of the other three sides.

c. Write the equation of .

4. Given y - 3 = (x – 8)

a. Write the equation in slope y-intercept form

b. Write the equation in standard form

c. The line is rotated about the point (8,3), what is the equation of the new line?

Answers

1)D:{1,3,5} R:{2,4,6}

2)D:{3,4} R:{2,3}

3)D:{-4, 3,5} R:{1}

4)D:{-3,1,2} R:{2,5,7}

5)D:{4,5,6} R:{6}

6)D:{-4,0,2} R:{3,4,5}

7)D:{-2,-1,2,3} R:{0,3,4,5,7}

8)D:{1,2} R:{3,4,5,6}

9)D:{-4,0,1,2,3} R:{5,6,7}

10)D:{-4,-2,1,3} R:{0,3,4,5,7}

11)D:{x-4} R:{y0}

12)D:{x-2 or x2} R:{Reals}

13)D:{Reals} R:{Reals}

14)D:{-2,1,3} R:{1,4,6}

15)D:{1,2} R:{2}

16)D:{-6,2,5} R:{1,7}

17)D:{-1,0,1} R:{6,7,8}

18)D:{2,4} R:{6,7,8}

19)D:{-5,0,5} R:{-2,-1,0}

20)D:{3,4,5,6} R:{1,2,3,4}

21)D:{5} R:{0,1,2,3}

22)D:{3,4} R:{2,3,4}

23)D:{-4,-2,2,4,5} R:{-3,2,4,5}

24)D:{-6x6} R:{-6y6}

25)D:{-6x0 } R:{-6,-2,2,4}

26)D:{Reals} R:{2}

47)D

48)D

49)D

50)D

51)D

52)D

53)D

54)D

55)D

56)D

57)C

58)C

59)C

60)D

61)D

62)D

63)D

64)D

65)D

66)D

67)D

68)D

69)D

70)C

71)C

72)C

73)yes

74)yes

75)yes

76)yes

77)yes

78)no

79)no

80)no

81)yes

82)no

83)yes

84)yes

85)yes

86)yes

87)no

88)yes

89)yes

90)no

91)no

92)yes

93)no

94)no

95)yes

96)no

97)yes

98)yes

99)10

100)13

101)2

102)2

103)44

104)1

105)15

106)18

107)16

108)1

109)|a-4|

110)6b+4

111)1

112)4

113)9

114)1

115)50

116).5

117)6

118)9

119)1

120)27

121)|2a-3|

122)(2b-1)2 = 4b2-4b+1

123)(0, -4), (4/3, 0), (1, -1)

124)(0, 4), (2, 0), (1, 2)

125)(0, -3), (3, 0), (1, -2)

126)(0, 4), (-8, 0), (1, 4.5)

127)(0, 1), (3/2, 0), (1, 1/3)

128)(0, -2), (-2, 0), (1, -3)

129)(0, 1), (-.5, 0), (1, 3)

130)(0, 0), (1, ¼), (2, ½)

131)(0, -2), (-1, 0), (2, -6)

132)(0, 4), (12, 0), (1, 11/3)

133)

  1. A(0, 0), B(0, 6), C(0, -5), D(0, -2)
  2. A: negative, B: positive, C: positive, D: zero

134)E: -1/2, F: -2, G: undefined, H: 1

135)E: -(x/2)+1, F: -2x+4, G: x=8, H: x-7

136)

  1. I(0, 8), J(0, 2), K(0, -1), L(0, -8)
  2. I: zero, J: negative, K: positive, L: positive

137)M: -1, N: 3/2, O: 1, P: -1/3

138)M: -x+5, N: (3x)/2, O: y=-4, P: -(x/3)-6

139)-3x + y = 4

  1. 2x + y = 3
  1. –x + y = 7
  1. –(2/5)x + y = 0
  1. 3x + y = 0
  1. (2/3)x + y = 5
  1. -2x + y = -6
  1. 3x + y = 7
  1. –(x/4) + y = -(15/2)
  1. –x + y = 10
  1. -6x + y = 4
  1. 3x + y = -2
  1. –(1/6)x + y = -3
  1. –x + y = 4
  1. (2/7)x + y = -2
  1. 7x + y = 0
  1. -2x + y = 2
  1. 4x + y = 6
  1. –(3/7)x + y = 12/7
  1. -2x + y = 1
  1. Horizontal
  2. Vertical
  3. Neither
  4. Vertical
  5. Horizontal
  6. Vertical
  7. Horizontal
  8. Neither
  9. Horizontal
  10. Vertical
  11. ¼
  12. -30
  13. Undefined
  14. -3/4
  15. -1/2
  16. 6
  17. 5/4
  18. 1/9
  19. 3
  20. 0
  21. -1/5
  22. -1
  23. 3/2
  24. 0
  25. -3
  26. -1
  27. Undefined
  28. -5/2
  29. ½
  30. 6/7
  31. 197
  32.  195
  33.  194
  34.  198
  35.  196
  1.  205
  2.  208
  3. 206
  4.  204
  5.  207
  1. Multiple Answers ex: y = 4x + 2
  2. Multiple Answers ex: y = (6/4)x + 2
  3. 220
  4.  216
  5.  218
  6.  219
  7.  217
  1.  228
  2.  229
  3.  226
  4.  227
  5.  230
  1. y = 1
  2. y = -(5/2)x + 4

  1. y-4=6(x-3)
  2. y+7=-(3/2)(x+2)
  3. y+4=-3(x-7)
  4. y=x-4
  5. y+4=(1/3)(x+4)
  6. y-1=x-2, y=x-1
  7. y-5=(5/3)(x-3), y=(5/3)x
  8. y+8=-2(x-9), y=-2x+10
  9. y+6=(1/6)(x+7), y=(1/6)x-(29/6)
  10. y+2=-1(x-3), y=-x+1
  11. –(x/10)+y=(12/5)
  12. –(7/20)x+y=-(6/5)
  13. (x/7)+y=-(13/7)
  14. -3x+y=-19
  15. (x/5)+y=14
  16. y=-(3/2)x+12
  17. y=-(3/2)x
  18. y=(2/3)x+1
  19. y=-2x+4
  20. y=-2x+18
  21. y+4=-2(x-5)
  22. y+3=4(x+2)
  23. y-4=(1/4)(x-7)
  24. y+9=3(x-9)
  25. y=-(2/3)(x-6)
  26. y+50=5(x+10), y=5x
  27. y-10=-3x, y=-3x+10
  28. y-9=-2(x-.5), y=-2x+10
  29. y-9=5(x-8), y=5x-31
  30. y-4=.5(x+7), y=.5x+(15/2)
  31. –(3/2)x+y=-.5
  32. (7/2)x+y=14.5
  33. -2x+y=0
  34. 2x+y=13
  35. -2x+y=0
  36. y=4x+16
  37. y=4x+4
  38. y=-(1/4)x+4
  39. y=x-3
  40. y=(3/2)x+8

257.

258. A and C

259. no pattern

260.

261.

262.

  1. A
  2. B and D
  3. 40 minutes
  4. -.4
  5. 6.2
  6. -5.2; extrapolated
  7. 6
  8. 1
  9. 8.7; interpolated

277.278.

279.280.

281.282.

283.284.

285.286.

287.288.

289.290.

291.292.

293.294.

295.296.

297.298.

299.300.

301.302.

303.304.

305.

  1. 2
  2. 3
  3. 5
  4. 7
  5. 8
  6. -4
  7. -4
  8. 0
  9. 7
  10. -1

316.317.

318.319.

  1. 3
  2. 3
  3. 7
  4. 9
  5. 10
  6. -4
  7. -3
  8. 0
  9. 6
  10. -9

330.331.

332.333.

334.a. 0e.

b. 0

c. -4

d. D:Reals; R:

335.a.4e.

b.4

c.12

d.D:Reals; R:

336.a. 2e.

b. 1

c. 4

d. D:Reals; R:

337.a. -2e.

b. 0

c. 4

d.D:Reals; R:

338.a. -5e.

b. 3

c. -4

d.D:Reals; R:

339.a. -5e.

b. 0

c. 4

d.D:Reals; R:

340.a. -2e.

b. -2

c. -4

d.D:Reals; R:

341.a. 1e.

b. 2

c. 2

d.D:Reals; R:

342.a. 0e.

b. 2

c. -4

d.D:Reals; R:

343.a. 4e.

b. 2

c. 4

d.D:Reals; R:

344.345.

346.347.

348.349.

350.

351.

352.353.

354.355.

356.357.

358.

359.