1 Guymon... · Web view168. What is the -intercept of the line ? [A] 5 [B] –2 [C] –5 [D] 2 169....

Algebra I Final Exam Review kg of 34

1. Evaluate the expression

2b(b a)b when a=-3 and

b=5

2. Evaluate 4c - (-6d) when c = 4 and d = -1.

3. Evaluate 2j + 3k when j = 2 and k = 5.

4. Evaluate 6y + 7 – 3x - (-2x) when y = 3 and x = -4.


2x 3 21 when

x 5.

6. Evaluate the expression 16 + 12x –

x 3 when x = 3.


4a 4b 2 when a = 3

and b = 2.


c 4d 2 when c = 3 and

d = -2.

9. Add:

(5x 5 5x 6 5) + (5x 6 5 3x 5)

Subtract:10.

(4x 3 7x 2 6) (7x 3 7x 2 8x 6)

[A]

3x 3 14x 2 8x 12

[B]

3x 3 14x 2 8x

[C]

3x 3 14 x 2 8x

[D]

3x 3 14x 2 8x 12

11.

x 4 8x 3x 2 2x 4

Multiply:12.

x 5 x 9

13. (

x 1)(

x 4)

[A]

x 2 5x 4

[B]

x 2 3x 4

[C]

x 2 3x 4

[D]

x 2 5x 4

14. Multiply

z2(3 z 2z2).

15. Multiply

3x 2(2x 2 5x 3).

16. Multiply

x 2( 3x 2 2x 4).

17. Multiply:

x 5 x 2 4x 5

[A]

x 3 4x 2 25

[B]

x 2 5x 25

[C]

x 3 9x 2 20x 25

[D]

x 3 9x 2 25x 25

18. Simplify the product:

(4 fg3)4 ( fg)2

[A]

256 f 6g5

[B]

4 f 5g14

[C]

4 f 6g14

[D]

256 f 6g14

19. Simplify

(8x 3)2(2x 2)3 .

20. Simplify

(2x)4 (3x 3)2 .

Simplify:

21.

35x 6y 5

7x 5y 7

Simplify:

22.

18x 6y 5

9x 3y 6


[A]

2x 3

y

[B]

x 9

y11

[C]

x 9

y11

[D]

2x 3

y

23.

9x 7y 3

3x 5y 4

[A]

2x12

y 7

[B]

3x 2

y

[C]

3x 2

y

[D]

2x12

y 7

24. Simplify the expression

8x 2y 2

x 2y

(4xy 2) 1

x 2y.


32xy 3

8x 3y

2xy 4y

.


5x 3y 1

x 2y 2 (5x 2y) 1

xy 1 .

27. The two rectangles are similar. Find the width of the larger rectangle.

6.1 m

7 mw

17.5 m

28. The two rectangles are similar. Find the width of the smaller rectangle.

w

9 m

8.26 m

12.6 m

29. The two rectangles are similar. Find the width of the larger rectangle.

3.7 m

8 mw

17.6 m

30. Two machines can complete 8 tasks every 5 days. Let t represent the number of tasks these machines can complete in a 31-day month. Select the correct statement for the given conditions.

[A]

58

= t

31

[B]

3116

= t5


[C]

531

= t8

[D]

85

= t

31

31. Two machines can complete 10 tasks every 3 days. Let t represent the number of tasks these machines can complete in a 30-day month. Select the correct statement for the given conditions.

[A]

330

= t

10

[B]

3020

= t3

[C]

310

= t

30

[D]

103

= t

30

Use your calculator as needed.

32. Solve the proportion

18x 2

43

.


18x 2

43

.


3x 4

5x

.


x 13

x 5

x.


x 13

x 5x 1

.


x2x 1

53

.


x 1x 2

3x

.

39. At an electronics store they sell about 760 cassette players a year and about 220 CD players a year. If the rate of cassette player sales decreases by

40 each year and the rate of CD player sales increases by 50 each year, in how many years will the CD player sales be twice as much as the cassette player sales? Use a table to determine your answer.

Solve the equation:

40.

y 12

9

41.

3 4z 5 8z

42.

5n – 2(n – 2) –11

43.

4n – 2(3 – n) –13

44.

y 12

9

45.

y 34

7

46.

3y 24

7

47.

x2

x4

5

48. Solve:

312

y + 15 0

[A] 540

[B] –60

[C] 60

[D] –540

49. Write the equation as a function of

s:

9 = t 5s

50. Solve:

9x3

11x 28

Solve the equation:51.

(5 2) – x(x 1) x(2 – x)

52.

3x 17 – 5x 12 – (6x 3)

Algebra I Final Exam Review kg of 34 53.

(7 3) x(x –1) x(x – 2)

54.

7x 29 21x 3 (12 2x)

55.

x(2x 1) 10 2x(1 x)

56. A rental car agency charges $13 per day plus 11 cents per mile to rent a certain car. Another agency charges $17 per day plus 6 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?

[A] 800 miles per day

[B] 80 miles per day

[C] 600 miles per day

[D] 60 miles per day

57. A rental car agency charges $14 per day plus 9 cents per mile to rent a certain car. Another agency charges $16 per day plus 7 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?

[A] 150 miles per day

[B] 1500 miles per day

[C] 1000 miles per day

[D] 100 miles per day

58. One video rental club charges $25 to become a member and $2.50 to rent each video. Another charges no membership fee, but charges $3.25 to rent each video. How many videos must you rent to make the first club more economical?

59. A boxing club charges nonmembers $4 per day to workout and $10 per day for equipment rental. Members pay a yearly fee of $400 and a daily fee of 5$ for equipment rental. Write and solve and equation to find out how many times you should use the gym to justify membership.

60. One hiking club charges $20 to become a member and $5 to participate on each hike. Another

club charges no membership fee, but charges $7 to participate on each hike. How many hikes must you go on to make the first club more economical?

61. Write

5x 3y = 5 as a function of y (Solve for y).

62. Write


63. Write


64. Graph:

y = 1

[A]

x

y

[B]

x

y

[C]

x

y

[D] none of these

65. Write the equation of the line passing through (2, –7), (2, 0), and (2, 5).

66. Write the equation of the line passing through (7, 1), (7, –4), and (7, 4).

Algebra I Final Exam Review kg of 34 67. Write the equation of the line passing through (1, –2), (5, –2), and (10, –2).

68. Write the equation of the horizontal line passing through the point (4, 7).

69. Write the equation of the horizontal line passing through the point (7, 4).

70. Write the equation for the vertical line passing through the point (–5, 2).

71. Graph:

x = 5

72. Sketch the graphs of x = –5 and y = 3. Find the point at which the two graphs intersect.

73. Sketch the graphs of x = –2 and y = –4. Find the point at which the two graphs intersect.

Graph:74.

4y 12 = 0

75.

4y 8 = 0

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

[D]

x

y

–10 10

–10

10

Algebra I Final Exam Review kg of 34 76. Sketch the graphs of x = –3 and y = 4. Find the point at which the two graphs intersect.

77. Find the x-intercept of the line

3x 4 y 12.


3x 4 y 12.

79. Find the y-intercept of the line

3x 4 y 12.

80. Find both intercepts of the line

3x 4y 12.

81. Find both intercepts of the line

3x 4y 12.

82. Find the slope and y-intercept of the line

4x 2y = 32.


12x 4y = 144 .

[A]

m = 36, y = 13

[B]

m = 3, y = 36

[C]

m = 3, y = 36

[D]

m = 36, y = 13

84. Solve for y.

4x 5y 0

85. Solve for y in

3x 3y 5. Determine if the

line is parallel to

y 43

x 1.


y 7x 7. Is the line parallel to

y 7x 7?


y 16

x 10. Is the line parallel to

y 6x 10?

88. Write the equation

5y 2x 3 in slope-intercept form ( y = mx + b).

89. Find an equation, in slope-intercept form, that passes through point (–6, 6) with slope 4.

[A]

y 4x 30

[B]

y 4x 30

[C]

y 4x 4

[D]

y 4x 4

90. Write the equation of the vertical line that passes through the point (7, –3).

91. Write an equation of a line with slope 7 passing through the point (5, 1).

92. Find an equation of the line passing through the point (6, 5) with slope

m 2.

[A]

y = 12

x 2

[B]

y = 12

x 72

[C]

y = 2x 7

[D]

y = 2x 4

93. Find an equation for the line with undefined slope and passing through the point (–7, –5).

94. Find the y-intercept of the line containing the point (–8, 7) and having 0 slope.

95. Find the y-intercept of a line that passes through

3, 9 and has a slope of 3.

96. Find the y-intercept of a line that passes through


6, 2 and has a slope of

59 .

97. Find an equation of a line that passes through

the point (3, –2) with a slope of

32 .

98. A line passes through point (–2, –2) and has a slope of 2. Sketch the line and write its equation in slope-intercept form.

99. A line passes through point (–1, –3) and has a slope of 4. Sketch the line and write its equation in slope-intercept form.

100. A line passes through the point (–1, –3) and

has a slope of

32 . Sketch the line and write its

equation in slope-intercept form.

101. Write the equation of the horizontal line that passes through the point (7, –3).

102. Write an equation for the line containing

(4, 16) and

(2, 12) .

103. Write an equation of the line shown on the graph.

–3

(–3, 0)

(0, –4)

–4 –2 –1 1

–4

–2

–1

1

x

y

104. Write the equation of the line in slope-intercept form that passes through the points (7, –1) and (2, 9).

105. Write the equation of the line in slope-intercept form that passes through the points (–3, 5) and (2, –5).

106. Write the equation of the vertical line that passes through the origin.

107. Which equation matches the scatter plot?


x

y

0 1 2 3 4 5

4

8

12

16

20

24

[A]

y = 1 4x

[B]

y = 4 4x

[C]

y = 4x 1

[D]

y = 4x 1

108. In the table, x represents the number of weeks you worked at a summer job and y represents the balance in your savings account. Construct a scatter plot for this data and find an equation you think best represents the data.

x 1 2 3 4 5 6 7 8y 14 22 26 29 35 39 46 49

109. In the table, x represents the number of hours you have worked at a lawn-mowing job and y represents the number of ounces of water left in your water cooler. Construct a scatter plot for this data and find an equation you think best represents the data.

x 1 2 3 4 5 6 7 8y 64 55 46 38 28 22 12 7

110. In 1980 the average price of a home in Brainerd County was $95,000. By 1985 the average price of a home was $120,000. Which of the following is a linear model for the price of a home, P, in Brainerd County in terms of the year, t? Let t = 0 correspond to 1980.

[A]

P = 120,000 25,000t

[B]

P = 5000t + 95,000

[C]

P = 120,000 5000t

[D]

P = 25,000t + 95,000

111. For the data given, find the equation of the line of best fit.

x 2 3 6 8 10y 3 6 4 6 6

112. For the following data:A. Make a scatter plot of the data.B. Draw a line of fit for your scatter plot.C. Find an equation of your line of fit.

x 1 2 3 4 5 6 7 8y 1.5 2.3 1.9 3 3.2 4.3 3.9 5


x

y

113. In the table, x represents the number of years a company has been in business and y represents the number of employees that the company has. Construct a scatter plot for this data and find an equation you think best represents the data.

x 1 2 3 4 5 6 7 8y 15 21 27 28 39 40 44 52

114. What type of relationship – positive, negative, or none – is shown by the scatter plot?

x

y

–10 10

–10

10

115. What type of relationship is shown by the scatter plot?

x

y

–10 10

–10

10

[A] strong negative correlation

[B] weak negative correlation

[C] weak positive correlation

[D] strong positive correlation

116. The table shows the amount of time several students spent watching TV and their test grades.

Weekly TV (h) 6 12 18 24 30 36Grade (%) 85 80 65 70 55 50

Which scatter plot describes the data and the relationship, if any?

[A]

0

Effect of Watching TV on Grades

Weekly TV (h)

Grade(%)

6 12 18 24 30 36

50

100

More hours spent watching TV may reduce grades.


[B]

0


Weekly TV (h)

Grade(%)

6 12 18 24 30 36

50

100

More hours spent watching TV may reduce grades.

[C]

0


Weekly TV (h)

Grade(%)

6 12 18 24 30 36

50

100

More hours spent watching TV may increase grades.

[D] none of these

Graph:117. x

–1

Graph:118.

x 7

[A] –10 –5 0 5 10

[B] –10 –5 0 5 10

[C] –10 –5 0 5 10

[D] –10 –5 0 5 10

119. Sketch a graph of the inequality

4 x .

120. Solve the inequality. 8x < 24

121. Solve

x 11 12.

122. Graph:

4x 3 2(x 3)

[A] –10 –5 0 5 10

[B] –10 –5 0 5 10

[C] –10 –5 0 5 10

[D] –10 –5 0 5 10

123. Solve the inequality

4 3x x 3.


2 13

x 3.


3 4x x 2.

126. The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 34 cm, what are its dimensions?

127. Use substitution to solve the linear system.

x 4y 1

2x y 7


3x y =15 x +2y = 2


x 4y 62x y 4

130. The length of a rectangle is 2 cm more than two times the width. If the perimeter of the rectangle is 28 cm, what are the dimensions?

[A] width = 4 cm, length = 10 cm

[B] width = 8 cm, length = 18 cm

[C] width = 8 cm, length = 20 cm

[D] width = 4 cm, length = 20 cm

Algebra I Final Exam Review kg of 34 Solve by linear combinations:

131.

4x 3y 8x 3y 17

132.

4x 3y 83x 3y 15

[A] (1, –4)

[B] no solution

[C]

0, 83

[D] (–4, –4)

133. Use linear combinations to solve the linear system.

3x 4y 21

4x 2y 6


4x 3y 23x 2y 3


3x +2y = 54x 3y =16

136. Find the solution of the system, if it exists.

2x 5y 7

4x 10y 2

137. A rental car agency charges $14 per day plus 8 cents per mile to rent a certain car. Another agency charges $20 per day plus 5 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? (Round your answer to the nearest hundredth of a mile.) Express the problems as a system of linear equations and solve using the method of your choice.

138. A group of 96 people attend a ball game. There were five times as many children as adults in the group. Write a system of equations that you could

use to set up this problem, where a is the number of adults and c is the number of children in the group.Solve the system of equations for c, the number of children in the group.

139. A total of $10,000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is $644. How much of the $10,000 is invested in each fund?

140. A total of $10,000 is invested in two funds paying 5% and 7% annual interest. The combined annual interest is $630. How much of the $10,000 is invested in each fund?

141. x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound. Find x and y, the number of pounds of each type.

142. Graph the system and describe its solution(s).

2x 3y = 5

8x 12y = 4

143. Determine if the system has no solutions, one solution, or many solutions.

4x y = –8

16x 4 y = –32

144. Express each equation in slope-intercept form. Then determine, without solving the system, whether the system of equations has exactly one solution, no solution, or an infinite number of solutions.

x 4y34x 3y1

145. Find all solutions of the system.

12

x 14

y 12

x 12

y 24


3x y 2 3x y 2



x 2y 4

2x 4 y 8


4x 2y 32x y 10


7x y 8 7x y 4

Graph:150.

y = 4x 2 x 5

Graph:151.

y = x 2 2x 4

[A]

x

y

[B]

x

y

[C]

x

y

[D]

x

y

152. Graph the parabola:

y = x 2 4x 4

153. Name the type of model suggested by the graph.

x

y

–10 10

–10

10


x

y

–10 10

–10

10

[A] linear

[B] quadratic

[C] exponential

[D] absolute value



x

y

–10 10

–10

10

[A] exponential

[B] quadratic

[C] linear

[D] absolute value


x

y

–10 10

–10

10

[A] absolute value

[B] quadratic

[C] exponential

[D] linear

157. The table gives the number of inner tubes, I, sold in a bike shop between 1985 and 1990.

Year, t 1985 1986 1987 1988 1989 1990Inner tubes, I 26 37 47 58 71 80

Find the type of model that best fits the data.

158. The table gives the number of inner tubes, I,

sold in a bike shop between 1985 and 1990.


Find the type of model that best fits the data.

159. The table gives the number of inner tubes, I, sold in a bike shop between 1985 and 1990.


Determine which model best fits the data.

[A] quadratic

[B] linear

[C] absolute value

[D] exponential

160. At an electronics store they sell about 730 cassette players a year and about 180 CD players a year. If the rate of cassette player sales decreases by 50 each year and the rate of CD player sales increases by 60 each year, in how many years will the CD player sales be twice as much as the cassette player sales? Use a table to determine your answer.

161. Suzy can run 4 m/sec and Tim can run 6 m/sec. How far ahead of Tim must Suzy be to not to fall behind Tim in the first 10 seconds of running? Use a graph to check your answer.

162. Nicole pays $325 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account. Find a linear function that models the value remaining in her account after x visits to the club. Find the value remaining in the account after 7 visits.

163. The following situation can be modeled by the equation

y 1.5x 8.Graph the equation.

A candle is 8 inches tall and burns at a rate of 1.5 inches per hour.

164. Find the slope and y-intercept of the line.

2x 5y 10

Algebra I Final Exam Review kg of 34 165. Find the slope and y-intercept of the line.

2x 5y 10

Graph:166.

x = 3

[A]

x

y

[B]

x

y

[C]

x

y

[D] none of these

167.

y = 7

168. What is the

x -intercept of the line

5x 2y = 10 ?

[A] 5

[B] –2

[C] –5

[D] 2

169. State the x- and y-intercepts of

y = 5x 6.


3x 4 y 12.

171. Write the equation of the line passing through (2, –7), (2, 0), and (2, 5).

172. Find an equation, in slope-intercept form, that passes through point (4, –7) with slope –2.

[A]

y 2x 1

[B]

y 2x 1

[C]

y 2x 1

[D]

y 2x 1

173. Write an equation of a line with slope 5 passing through the point (3, –5).

174. Find an equation of the line passing through the point (1, 4) with slope

m 6.

[A]

y = 16

x 256

[B]

y = 6x + 25

[C]

y = 6x + 10

[D]

y = 16

x 53

175. Write an equation of the line shown on the graph.

–3

(–3, 0)

(0, –4)

–4 –2 –1 1

–4

–2

–1

1

x

y

Graph:176.

6x 12 = 0

Algebra I Final Exam Review kg of 34 Graph:177.

6x 12 = 0

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

[D]

x

y

–10 10

–10

10

178. Find an equation, in slope-intercept form, that passes through point (–1, –4) with slope –3.

[A]

y 3x 7

[B]

y 3x 5

[C]

y 3x 5

[D]

y 3x 7

179. Find an equation for the line with undefined slope and passing through the point (3, –3).

180. Find an equation for the line with undefined slope and passing through the point (–1, 2).

181. Find an equation for the line with undefined slope and passing through the point (4, –4).

182. Find the y-intercept of the line containing the point (–7, –6) with undefined slope.

183. Write an equation for the line containing

(3, 10) and

(7, 22).

184. Write the equation of the line in slope-intercept form that passes through the points (7, –1) and (2, 9).

185. Write the equation of the line in slope-intercept form that passes through the points (–3, 5) and (2, –5).

186. Find an equation of the line containing the points

( 8, 7) and

( 12, 16).

Algebra I Final Exam Review kg of 34 [A]

18x 8y = 62

[B]

9x 4y = 100

[C]

4x 18y = 31

[D]

9x 4y = 44

Graph:187. –y <

3x 7

[A]

x

y

[B]

x

y

[C]

x

y

[D]

x

y

188.

y = x 2 2

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

[D]

x

y

–10 10

–10

10

189. Determine the number of solutions of the equation.

3x 2 2x 6 = 0

[A] 3

[B] 0

[C] 1

[D] 2



x 2 4x 5 = 0

[A] 0

[B] 2

[C] 3

[D] 1


2x 2 4x 2 = 0

[A] 4

[B] 0

[C] 2

[D] 1

192. Solve the linear system by any method.

3x 2y 3

6x 2y 3


5x 2y 3 x 6y 2


6x 4 y = 12x 5y = 1

195. A rental car agency charges $20 per day plus 14 cents per mile to rent a certain car. Another agency charges $22 per day plus 10 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? (Round your answer to the nearest hundredth of a mile.) Express the problems as a system of linear equations and solve using the method of your choice.

196. A group of 80 people attend a ball game. There were three times as many children as adults in the group. Write a system of equations that you could use to set up this problem, where a is the number of adults and c is the number of children in the group.

Solve the system of equations for c, the number of children in the group.

197. Mr. Frankel bought 7 tickets to a puppet show and spent $32. He bought a combination of child tickets for $2 each and adult tickets for $8 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?

[A]

a c = 224

a c = 7

[B]

8a 2c = 32

a c = 7

[C]

2a 2c = 39

a c = 7

[D]

a = c 8

8a 2c = 32

198. The Modern Grocery has cashews that sell for $3.50 a pound and peanuts that sell for $2.00 a pound. How much of each must Albert, the grocer, mix to get 60 pounds of mixture that he can sell for $3.00 per pound? Express the problem as a system of linear equations and solve using the method of your choice.

199. What are the mean, median, and mode of the data in the following sample?9, 20, 7, 19, 15, 20, 10, 6, 20

[A] 14, 22, 20

[B] 15, 20, 14

[C] 15, 14, 20

[D] 14, 15, 20

200. The list shows the final exam grades for Miss Gold’s history class.80, 92, 79, 73, 57, 64, 65, 68, 51, 56, 90, 65, 97, 53, 59, 62, 81, 66, 94, 98Construct a stem-and-leaf plot for the data.

201. Construct a stem-and-leaf plot for the data. Use the result to list the data in decreasing order.75, 24, 38, 19, 75, 27, 13, 82, 97, 14, 98, 71, 65, 63

Algebra I Final Exam Review kg of 34 51, 44, 59, 29, 72, 37, 14, 88, 67, 54, 49, 34, 71, 65

202. Construct a stem-and-leaf plot for the data. Use the results to list the data in decreasing order.49, 64, 33, 27, 81, 97, 24, 25, 33, 78, 65, 55, 59, 4165, 28, 44, 87, 51, 47, 60, 77, 21, 43, 67, 56, 94, 40

203. Construct a stem-and-leaf plot for the data. Use the result to list the data in increasing order.37, 28, 76, 80, 52, 67, 44, 71, 64, 52, 29, 33, 59, 47, 35, 25, 69, 75, 41, 63, 59, 63, 44, 71, 22, 20, 32, 70

204. Find the first, second, and third quartiles of the data. Then draw a box-and-whisker plot of the data.33, 31, 30, 31, 30, 32, 41, 38, 33, 27, 26, 38, 31, 32, 28

205. Draw a box-and-whisker plot for the following data.17, 13, 15, 24, 18, 16, 19, 16, 19, 16, 22, 22, 23, 14, 19

206. Draw a box-and-whisker plot for the data. 35, 31, 20, 30, 37, 34, 25

[A]

18 20 22 24 26 28 30 32 34 36 38

[B]

18 20 22 24 26 28 30 32 34 36 38

[C]

18 20 22 24 26 28 30 32 34 36 38

[D]

18 20 22 24 26 28 30 32 34 36 38

207. Are the data set 31, 28, 20, 23, 32, 30, and 24 represented by the box-and-whisker plot?

18 20 22 24 26 28 30 32 34

208. Which data are represented by the box-and-whisker plot?

7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37

[A] 32, 26, 9, 25, 36, 31, 16

[B] 32, 26, 9, 15, 36, 31, 16

[C] 32, 24, 9, 25, 36, 31, 16

[D] 32, 26, 9, 25, 38, 31, 16

209.

Use an addition equation to solve for x.

614

xPerimeter = 34

Solve the equation:210.

5n – 2(n – 2) –11

211.

4n – 2(3 – n) –13

212.

5 n 2(2 n) 7

213.

y 34

7

214. The triangle below has a perimeter of 20.

Algebra I Final Exam Review kg of 34 Solve for x.

x

x + 2

8

215. The triangle below has a perimeter of 23.2. Solve for x.

x x + 2

8

216. The circle below has a circumference of 27 inches. Approximate the radius of the circle to two decimal places.

r

217. The circle below has a circumference of 16 inches. Approximate the radius of the circle. Round your result to two decimal places.

r

218. The trapezoid below has a perimeter of 20. Solve for x.

x

x + 2

3x + 2

8

219. The circle below has a circumference of 21.54 inches. Approximate the radius of the circle to two decimal places.

r

Factor:220.

x 2 9x 20

221.

x 2 10x 24

[A]

(x 6)(x 4)

[B]

(x 6)(x 4)

[C]

(x 6)(x 4)

[D]

(x 6)(x 4)

222.

x 2 8x 15

223.

a2 7a 12

224.

5x 2 31x 6

225.

15c 4 26c 2 21

Solve:226.

x 2 6x = 0

227.

x 2 2x 3 = 0

228.

x 2 x 12 = 0

229.

x 2 11x 30 0

230.

x 2 3x 4 = 0

231. Find the greatest common factor of the terms

4k 4 ,

40k 5, and

28k 2 .

232. Find the greatest common factor of the terms

4y 7,

12y 2, and

36y12.

233. Factor:

75x 2 10x 40

234. Factor out the greatest common monomial factor.

18u4v 5 30u5v 4


24u3 40u2


21z3 28z


237. Factor the expression

5m4 70m3 245m2 .

238. Solve the equation

4x 2 7x 2 0.


30x 2 11x 30 0.


3x 7x 2 0.

241. Draw a box-and-whisker plot for the following data.38, 31, 38, 34, 38, 29, 36, 28, 24, 42, 35, 40, 20, 26, 38

242. Draw a box-and-whisker plot for the data. 37, 32, 18, 31, 40, 36, 24

[A]

16 18 20 22 24 26 28 30 32 34 36 38 40 42

[B]

16 18 20 22 24 26 28 30 32 34 36 38 40 42

[C]

16 18 20 22 24 26 28 30 32 34 36 38 40 42

[D]

16 18 20 22 24 26 28 30 32 34 36 38 40 42

243. Are the data set 44, 38, 21, 37, 48, 43, and 28 represented by the box-and-whisker plot?

19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49

244. Which data are represented by the box-and-whisker plot?

6 8 10 12 14 16 18 20 22 24 26 28 30 32

[A] 27, 22, 8, 21, 30, 26, 14

[B] 27, 22, 8, 21, 32, 26, 14

[C] 27, 22, 8, 13, 30, 26, 14

[D] 27, 20, 8, 21, 30, 26, 14

245. A single six-sided fair die is tossed. Find the probability of obtaining a number greater than 3.

246. A six-sided die is rolled 210 times. Six comes up 33 times.A. What is the theoretical probability of rolling a six?B. What is the experimental probability of rolling a six?

247. After the introduction of a new soft drink, a taste test is conducted to see how it is being received. Of those who participated, 56 said they preferred the new soft drink, 100 preferred the old soft drink, and 44 could not tell any difference. What is the probability that a person in this survey preferred the new soft drink?

[A]

718

[B]

725

[C]

1439


[D]

1425

248. Each square is made from toothpicks. Assuming the pattern continues, plot the relation between the number of squares and the number of toothpicks.

1 2 3

249. Each triangle is made from toothpicks. Assuming the pattern continues, plot the relation between the number of triangles and the number of toothpicks.

1 2 3

250. Each hexagon is made from toothpicks. Assuming the pattern continues, plot the relation between the number of hexagons and the number of toothpicks.

1 2 3

251. A monthly phone bill, b, in dollars, consists of a $23 service fee plus $0.15 per minute, m, of long distance calls. The amount of the bill is a function of the minutes used, b = 23 + 0.15m.A. Draw a graph for up to and including 120 minutes of long distance calls made in a month.B. Estimate the bill if 90 minutes of long distance calls are made.

252. The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time.

Study Time (min) 7 13 16 19 25 30 36 39Test Score 57 58 65 67 67 68 74 76

253. Solve the equation:

5n – 2(n – 2) –11

254. For the following data:A. Make a scatter plot of the data.B. Draw a line of fit for your scatter plot.C. Find an equation of your line of fit.

x 1 2 3 4 5 6 7 8y 1.5 3.6 4.2 6 6.9 9.6 10.2 12

x

y

255. What type of relationship – positive, negative, or none – is shown by the scatter plot?

x

y

–10 10

–10

10

256. Find an equation for the line with undefined slope and passing through the point (–9, –5).

Algebra I Final Exam Review kg of 34 257. Which data are represented by the box-and-whisker plot?

6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36

[A] 31, 23, 8, 24, 35, 30, 15

[B] 31, 25, 8, 24, 37, 30, 15

[C] 31, 25, 8, 14, 35, 30, 15

[D] 31, 25, 8, 24, 35, 30, 15

258. Graph the function:

y = 3x


[1] 16

[2] 10 [3] [C] 19

[4] 29

[5] 229

[6] 25

[7] 400

[8] 25

[9]

10x 6 2x 5 10

[10]

3x 3 14x 2 8x 12

[11]

3x 4 11x 2 [12]

x 2 4x 45 [13]

x 2 3x 4 [14]

2z4 z3 3z2

[15]

6x 4 15x 3 9x 2

[16]

3x 4 2x 3 4x 2

[17]

x 3 9x 2 25x 25

[18]

256 f 6g14

[19]

512x12

[20]

144x10

[21]

5xy 2

[22]

2x 3

y

[23]

3x 2

y

[24]

2xy 6


[25]

2y 2

x

[26]

x 2

y 3

[27] 15.25 m [28] 5.9 m [29] 8.14 m

[30]

85

= t

31

[31]

103

= t

30

[32]

312

[33]

312

[34] 10 [35] 5, –3 [36] –2, 7

[37]

57

[38]

2 10, 2 10

[39] 10 years

year 0 1 2 3 4 5 6 7 8 9 10cassette sales 760 720 680 640 600 560 520 480 440 400 360

CD sales 220 270 320 370 420 470 520 570 620 670 720

[40] 17

[41]

23

[42] –5

[43]

–76

[44] 17

[45] 25

[46]

263

[47]

203


[48] [B] [B] –60

[49]

s =

9 t5

[50]

x 2

[51]

56

[52] –2

[53]

–73

[54]

53

[55] 10 [56] [B] [B] 80 miles per day [57] [D] [D] 100 miles per day [58] 34 [59] 45 [60] 11

[61]

y = 5x 5

3

[62]

y = 5x 4

9

[63]

y = 5x 2

8

[64] [C] [C] x

y

[65] x = 2 [66] x = 7 [67] y = –2 [68] y = 7 [69] y = 4 [70] x = –5

[71]

x

y

–10 10

–10

10

[72] (–5, 3)

–6 –4 –2 2 –2

2

4

6

x

y

(–5, 3)

[73] (–2, –4)


(–2, –4)

–5 –4 –3 1

–5

–3 –2 –1

1

x

y

[74] x

y

–10 10

–10

10

[75]

x

y

–10 10

–10

10

[76] (–3, 4)5

–5 –4 –2 1 –1

1 2 3

x

y

(–3, 4)

[77] 4 [78] 4 [79] –3 [80] x-intercept: –4; y-intercept: –3 [81] x-intercept: –4; y-intercept: –3 [82]

m = 2, y = 16

[83]

m = 3, y = 36

[84]

y 45

x

[85]

y x 53

, not parallel

[86]

m 7, y - int. 7, not parallel [87]

m 16

, y - int. 10, not parallel

[88]

y 25

x 35

[89]

y 4x 30

[90] x = 7 [91]

y = 7x 34 [92]

y = 2x 7

[93]

x = 7 [94] 7 [95] 18

[96]

43

[97]

y 32

x 132

[98]

y 2x 2


(–2, –2) –4 –3 1 2 3 4

–4 –3 –2

2 3 4

x

y

[99]

y 4x 1

(–1, –3)

2

–3 –2 –1 1 2 3

1

3

x

y

[100]

y 32

x 32

–2 2 3 4

–5 –4

–1

1

x

y

(–1, –3)

[101] y = –3 [102]

y = 2x 8

[103]

y 43

x 4

[104]

y 2x 13

[105]

y 2x 1 [106] x = 0 [107] [C] [C]

y = 4x 1

[108]

y 5x 10

1 2 3 4 5 6 7 8

10 20 30 40 50 60 70 80

y

[109]

y 70 8x

x 1 2 3 4 5 6 7 8

10 20 30 40 50 60 70 80

y

[110] [B] [B]

P = 5000t + 95,000 [111] y = 0.2x + 3.57

[112] x

y

y =

0.5x 1 [113]

y 5x 10

1 2 3 4 5 6 7 8

10 20 30 40 50 60 70 80

x

y

[114] negative [115] strong positive correlation [116] [B] [B]

0


Weekly TV (h)

Grade(%)

6 12 18 24 30 36

50

100

More hours spent watching TV


may reduce grades. [117]

–10 –8 –6 –4 –2 0 2 4 6 8 10

[118] [C] [C] –10 –5 0 5 10 [119] 543 x 0 1 2 6

[120]

x < 3 [121]

x 1

[122] [D] [D] –10 –5 0 5 10

[123]

x 14

[124] x < –3

[125]

x 53

[126]

width 3 cm, length 14 cm [127] (3, –1) [128] (4, –3)

[129]

109

, 169

[130] [A] A] width = 4 cm, length = 10 cm [131] (–5, –4)

[132] [A] [A] (1, –4) [133] (3, –3) [134] (–5, 6) [135] (1, –4) [136] No solution [137] c = 14 + 0.08mc = 20 + 0.05m200 miles [138] Sample Response:

a c = 96

c = 5aby substitution:

a 5a = 96

6a6

= 966

a = 16c = 5(16) = 80 children

[139] $2800 at 5%; $7200 at 7% [140] $3500 at 5%; $6500 at 7% [141] x = 3.75 lb; y = 6.25 lb [142] no solution [143] many solutions


[144]

y = 14

x + 34

y = 43

x 13

one solution [145] All points on the line y = 2x – 48 [146] All points on the line 3x – y = 2 [147] All points on the line x + 2y = 4 [148] No solution [149] No solution

[150]

x

y

–10 10

–10

10

[151] [C] [C] x

y

[152]

x

y

–10 10

–10

10

[153] absolute value

[154] [D] [D] absolute value [155] [C] [C] linear [156] [B] [B] quadratic [157] linear [158] exponential [159] [D] [D] exponential [160] 8 years

year 0 1 2 3 4 5 6 7 8 9 10cassette sales 730 680 630 580 530 480 430 380 330 280 230

CD sales 180 240 300 360 420 480 540 600 660 720 780

[161] 10

50

Seconds

Distance

20 meters [162] V(x) = 325 – 10x; $255

[163]

Height(in.)

Number ofhours

x

y

0 10

10

[164] Slope:

25; y-

intercept: –2


[165] Slope:

25; y-

intercept: –2

[166] [C] [C] x

y

[167]

x

y

–10 10

–10

10

[168] [D] [D] 2

[169] x-intercept:

65 ; y-

intercept: –6 [170] 4 [171] x = 2 [172] [A] [A]

y 2x 1 [173]

y = 5x 20

[174] [C]

y = 6x + 10

[175]

y 43

x 4

[176] x

y

–10 10

–10

10

[177] [D] [D] x

y

–10 10

–10

10

[178] [A]

y 3x 7

[179]

x = 3 [180]

x = 1 [181]

x = 4 [182] none [183]

y = 3x 1

[184]

y 2x 13

[185]

y 2x 1

[186] [D]

9x 4y = 44

[187] [A] [A] x

y

[188] x

y

–10 10

–10

10

[189] [D] [D] 2 [190] [B] [B] 2 [191] [D] [D] 1

[192]

23

, 12

[193]

12

, 14


[194]

138

, 4

19

[195] c = 20 + 0.14mc = 22 + 0.10m50 miles [196] Sample Acceptable Response:

a c = 80

c = 3aby substitution:

a 3a = 80

4a4

= 804

a = 20

c = 3(20) = 60 children [197] [B] [B]

8a 2c = 32

a c = 7 [198]

x y 603.50x + 2.00y 180

x = 40 pounds of cashewsy = 20 pounds of peanuts [199] [D] [D] 14, 15, 20 [200] Final Exam Grades

5 1 3 6 7 96 2 4 5 5 6 87 3 98 0 19 0 2 4 7 8

[201]

Stem - and - Leaf Plot Ordered data9 7 88 2 87 5 5 1 2 16 5 3 7 55 1 9 44 4 93 8 7 42 4 7 91 9 3 4 4

98, 9788, 82

75, 75, 72, 71, 7167, 65, 65, 63

59, 54, 5149, 44

38, 37, 3429, 27, 24

19, 14, 14, 13

[202]


97, 9487, 8178, 77

67, 65, 65, 64, 6059, 56, 55, 51

49, 47, 44, 43, 41, 4033, 33

28, 27, 25, 24, 21

[203]


20, 22, 25, 28, 2932, 33, 35, 3741, 44, 44, 4752, 52, 59, 5963, 63, 64, 67, 6970, 71, 71, 75, 7680

[204]

24 27 30 33 36 39 42

first quartile: 30, second quartile: 31, third quartile: 33


[205]

12 14 16 18 20 22 24 26

[206] [D] [D]

18 20 22 24 26 28 30 32 34 36 38

[207] no [208] [A] [A] 32, 26, 9, 25, 36, 31, 16 [209] 14 [210] –5

[211]

–76 [212]

37

[213] 25 [214] 5 [215] 6.6 [216] 4.30 in. [217] 2.55 in. [218] 1.6 [219] 3.43 in. [220]

(x 4)(x 5) [221]

(x 6)(x 4) [222]

(x 3)(x 5) [223]

(a 4)(a 3) [224] (

5x 1)(

x 6) [225]

(5c 2 3)(3c 2 7)

[226] 0, –6 [227] –3, 1 [228]

x = 4 or x = 3 [229] 5, 6 [230] –1, 4 [231]

4k 2

[232]

4y 2

[233]

5(5x 4)(3x 2)

[234]

6u4v 4 (3v 5u)

[235]

8u2(3u 5)

[236]

7z(3z2 4)

[237]

5m2(m 7)2

[238] –2,

14

[239]

65

, 56

[240] 0,

37

[241]

19 23 27 31 35 39 43 47

[242]


16 18 20 22 24 26 28 30 32 34 36 38 40 42

[243] yes [244] [A] [A] 27, 22, 8, 21, 30, 26, 14

[245]

12

[246] A.

16 B.

1170

[247]

725

[248]

Numberof

Toothpicks

Number of Squares0

[249]

Numberof

Toothpicks

Number of Triangles0

[250]

Numberof

Toothpicks

Number of Hexagons0

[251] A. 0

50 100

1020304050

Cost($)

Minutes

B. $36.50 [252]

10 20 30 40 50 60

8580757065605550

Time (min)

TestScore

Effect of Study on Test Score

[253] –5

[254] x

y


y =

1.5x

[255] none [256]

x = 9 [257] 31, 25, 8, 24, 35, 30, 15

[258]

–10 10

–10

10

x

y

1 Guymon... · Web view168. What is the -intercept of the line ? [A] 5 [B] –2 [C] –5 [D] 2 169....

Documents

Transcript of 1 Guymon... · Web view168. What is the -intercept of the line ? [A] 5 [B] –2 [C] –5 [D] 2 169....