Online Practice EOC:1. Special Products Problems 1-52. Next...Now Problems 6-10

Also problem 243. Inequality Word Problems Problems 11-134. How do Linear Graphs Differ Problesm 14-175. Factor Completely Problems 18-216. Rate of Change & Y-Intercept Problems 22-237. Quadratics Problems 24-268. Scatter Plots Problems 27-32

Also problems 15, 30, 389. Nonlinear Functions Problems 33-3510. Simplify Expressions Problems 36-4011. Systems Word Problems Problems 41-4612. Can it be Factored Problems 47-5113. What type of Function Problems 52-5414. Simplify Exponent Expression Problems 55-59

Also problem 3115. Scatter Plots Problems 27-32

Also problems 8, 30, 3816. Are the Areas Equal Problem 6017. Quadratic Graphs Problems 106-107

Also problem 3318. Which Pattern is Different Problem 6119. Quadratic Equations Problems 62-6620. Output of the nth term Problems 67-7121. Systems of Equations Problems 72-74

Also problem 2922. Mean, Median, Mode Problems 75-7623. Compare the Lines Problem 7724. Next...Now Problems 6-10

Also problem 225. Simplify Expression Problems 78-8426. Systems of Inequalities Problems 85-9027. X-Intercepts of Parabola Problem 9128. Is it a Function Problems 92-10029. Systems of Equations Problems 72-74

Also problem 2130. Scatter Plots Problems 27-32

Also problems 8, 15, 3831. Simplify Exponents Problems 55-59

Also problem 14

32. Distance Problems Problems 101-10533. Quadratic Graphs Problems 106-107

Also problem 1734. Coin Problem Problem 10835. Linear Equations Problems 109-11336. Parallel and Perpendicular Problems 114-11637. Equations of Functions Problems 117-12038. Scatter Plots Problems 27-32

Also problems 8, 15, 3039. Solve Inequalities Problems 121-12340. Extra Problems41. Performance Event Problems

Algebra 1 EOC Review Name: ________________

What is the product of the expression?1. (3 x+6)2

2. (4b−4)2

3. (r+7)2

4. (6 x+4 )2

5. (4−4 x )2

Next / Now6. If the first Now = -9, then what expression represents this sequence? -9, -4, 1, 6, 11, ...

7. If the first Now = 2, then what expression represents this sequence?2, -1, -4, -7, -10, ...

8. If the first Now = 3, then what expression represents this sequence?3, 5, 7, 9, 11, ...

9. If the first Now = 4, then what expression represents this sequence?4, 20, 100, 500, 2500, ...

10. If the first Now = 1, then what expression represents this sequence?1, -4, 16, -64, 256

Linear Inequality Word Problems11. The senior class at a local high school is raising money to purchase a new $1350 lighting system for the school auditorium. To date, the senior class has raised $450. If the seniors plan to raise $90 per week for x weeks, write an inequality to use to determine how many weeks they will need to raise at least $1350.

12. Johnny wants to plant two types of apple trees. Red Delicious trees cost $20 each and McIntosh trees cost $15 each. Johnny has $600 to spend. Write an inequality to represent the number of Red Delicious trees and the number of McIntosh trees he could buy.

13. Mrs. K is purchasing new books for the library. Fiction books cost $12 each and nonfiction books cost $27 each. Her budget allows her to spend at most $324. Let x represent the number of nonfiction books and y represent the number of fiction books. Write an inequality to represent the number of books she could purchase.

The graph of a line line is shown, how does it change?14. The graph of y=2x-4 is shown. If the slope of the line is doubled, the new equation is y=4x-4. How are the x and y intercepts affected?

15. Given y = 2x, how would the graph of y = 2x + 4 differ?

16. How would the graph of y=−3x−1 and the graph of y=3 x−1differ?

17. Jim graphed y=−|x|−4 shown below. If Jerry graphs y=|x|−4, how will the graphs differ?

18. Jonathan and Caroline are graphing two equations on a coordinate grid. Jonathan graphed the equation y= 14 x

2 below. If Caroline graphs y=x2, how will her graph differ from the graph Jonathan made?

Factor Completely19. 6 x2+15x−36

20. 2 x3−20 x2−12x

21. x3+11 x2−42 x

Word Problems rate of change & y-intercept22. A computer technician charges a one-time fee of $50 plus an additional $20 per hour of labor. If an equation is created to determine the technician’s total charge, what does the $50 represent?

23. MAC Contractors use the following chart to determine labor costs for each job. What function should the contractor use to determine the labor cost, C, for a job that takes h hours?

What is the rate of change (slope)

What is the initial value (at zero – y-intercept)

Solve a quadratic equation24. 10 x2+x=9x2+2

25. x2+36=13 x

26. x2−7 x=−6

Hours Labor Cost1 $552 $803 $1054 $130

Scatter Plot – what is the line of best fit?27.

28.

29. Alex noticed a relationship between the amount of television he watched each week and his test scores. If the pattern continues, what will he likely score on a test after watching 10 hours of TV?

30. Based on this scatter plot, what equation could be a line of best fit?

31. A survey was taken asking students how many E-mail and text messages they sent each week. The results of the survey are shown in the scatterplot below. Based on the scatterplot, a student who sends 30 email messages a week would be expected to send how many text

messages?

32. Julie’s Free Throw Results are shown below. What could be a line of best fit?

Which equation represents a nonlinear function?

33. A)y=x5 B) y= x5 C) y=5 x D) y=5

34. A)y=x2 B) y= x−10 C) y=2x+4 D) y=3 x

E-Mail Messages

Text Messages

Free Throws Attempted

Free Throws Made

35. A)y=x−1 B) y=23 x C) y=x D) y=.8

Simplify the expression?36. 2 x( x2+x−5)

37. −2 ( y−5 )+35−3 y

38. −3 x (x2−2x+6)

39. 20−6÷3−43

40. 5 ( x−4 )+28−9 x

System word problems41. The enrollment of High School R has been increasing by 20 students per year. Currently High School R has 200 students attending. High School T currently has 400 students, but its enrollment is decreasing in size by an average of 30 students per year. If the two schools continue their current enrollment trends over the next few years, how many years will it take the schools to have the same enrollment?

42. Julie bought 6 t-shirts for $62. Some of the t-shirts were $8 each, and the others were $15 each. If x represents the number of least expensive t-shirts, which equation can be used to find the number of the least expensive t-shirts?A) $8x + $15(x-6) = $62B) $8x + $15(6-x) = $62C) $8x + $15x = $62D) $23x = $62

43. Carter bought 12 towels for his dorm room at college. Some fo the towels were $7 each and the others were $10 each. He spent $96. If x represents the least expensive towels, write an equation that can be used to find the number of least expensive towels purchased.

44. The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 4 buses with 220 students. High School B rented and filled 7 vans and 12 buses with 450 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

45. Mr. Bradshaw took the tenth grade on a class field trip to the Gateway Arch. An adult ticket costs $10 and a child’s ticket costs $5. The costs of the tickets was $220. Altogether, 40 people went on the trip. How many adults and how many children went on the trip?

46. Mrs. J bought apples and bananas at teh grocery store. The apples cost $1.50 a pound and the bananas cost $.70 a pound. Altogether she bought 8 pounds of fruit adn spent $9.60. How many pounds of apples and how many pounds of bananas did she buy?

Can the trinomial be factored using integers?47. x2+3x−10

48. x2+ x−12

49. x2+2x−1

50. x2+2x−3

51. x2−x−3

From the chart, identify what type of function is represented.52. 53.54.

Simplify the expression

55. ( 2x3

x)5

56. x−4 y4

(2x4 y−1 )−3(x4)

57. ¿¿¿

58. 4 x3 y3

8 x5 y259. 4 x3 y5

12x y2

t BacteriaPopulation

0 11 32 93 274 815 243

X Y-3 -14-2 -11-1 -80 -51 -22 13 4

X Y-3 19-2 9-1 30 11 32 93 19

Area of two equal figures, what is the area of the rectangle?60.x

8x

5x + 1x + 1

61. Which pattern is different from the others? f(x), table, map, graphA) f(x)=3x+1 B) C)

-2 -53 10

619

D)

What are the x-intercepts of the following equation?62. y=x2+3 x+2

63. y=x2−x−12

64. y=x2+10 x+16

65. y=x2−x−12

x y-5 -144 1212 36

66. y=x2−8x+16

Which expression represents the output of the nth term?67. What is the 25th term of the following sequence? 2, -1, -4, -7, -10, ...

68. What is the value of the 18th term of the following sequence? 2, 8, 14, 20, ...

69. What is the 12th term of this sequence? 3, 12, 48, 192, ...

70. What expression represents the output of the nth term for the following:Input 1 2 3 4 5 nOutput 5 8 11 14 17

71. What expression represents the output of the nth term for the following:

Systems of equations72. y=2x−3∧4 x−3 y=31

73. 5 x−2 y=−7∧5= y−3 x

74. y=13x+3∧ y=8 /3 x−4

Input 1 2 3 4 5 nOutput 1

520

25

30

35

Mean, median, mode – change a value75. A group of students surveyed classmates about how far each student travels to school each day, in miles. Ten students’ responses were selected at random: 43, 20, 15, 12, 17, 8, 20, 6, 9, 12. The student who lives 43 miles from school decides to transfer to a closer school. Once this number is removed from the set above, by how much does the median change?

76. How is the mean from the data above affected by the removed data?

How do the equations of these two lines compare?

77. y=−14x+2∧−2 y=1

2x−4

78. 2 x+3 y=6∧4 x+6 y=24

79. 2 x+ y=3∧2 y=6−4 x

Simplify the expression80. (2 x+3 ) ( x−6 )−2 x2+3 x+30

81. (7b+2b2+8b3 )−(6b+3b2+4b4)

82. (4 r4+2 r3−r2)+(7 r3−7 r−4 r4)

83. (5n3+5n−3n2)+(8n+3n2−2n3)

84. (5n4+4−7n )−(n4+8n+3)

System of inequalities85. What is the system of inequalities shown?

86. The graph of a system of inequalities is shown

below.

87. Which of the following statements if false?A) The graph does not include the line 2y = x – 2B) The graph includes the line y = 5x + 1C) (-1, -4) is a solutionD) (-2, -2) is a solution

88. Carl graphed the inequality y < 3x + 5. Which of the following statements is true?A) The solution does not include the line and all points below the line.B) The solution includes the line and all points below the line.C) The solution does not include the line and all points above the line.D) The solution includes the line and all points above the line.

89. The graph of a system of inequalities is shown below.

2y<x-2

y< 5x+1

Which of the following is a solution to the system?A) (3, 2) B) (1, 1) C) (2, -3) D) (3, -2)

90. Marion graphed the inequality y> ¼ x – 1. Whic of the following statements is true?A) The solution does not include the line and all points below the line.B) The solution includes the line and all points below the line.C) The solution does not include the line and all points above the line.D) The solution includes the line and all points above the line.

What are the x-intercepts of the parabola?91.

Does the information represent a linear function?92. y=x+193. xy=194. y=x295. x= 1y96. x=597.

X Y

1 12 43 94 165 2598. SX Y1 22 43 84 165 32

99.X Y1 -42 -13 44 115 20

100.X Y1 52 73 94 115 13

Distance problems – gallons of gas to use101. Sam and Candy begin at the same place and drive in opposite directions at constant rates. Sam drives 15 mph faster than Candy. After 2 hours, they are 230 miles apart. If Candy’s car gets 20 miles per gallon, how many gallons of gas did she use?

102. Gene left the movie theater two hours before Kathryn. They traveled in opposite directions. Kathyrn traveled at 55 mph for 3 hours. After this time they were 390 miles apart. What was Gene’s Speed?

103. A container left Diego Garcia and traveled toward dry dock at an average speed of 27 km/hr. A cruise ship left nine hours later and traveled the opposite direction with an average speed of 19 km/hr. How long does the cruise ship need to travel before the ships are 289 km apart?

104. A diesel train left Seoul and traveled east at an average speed of 20 km/hr. A freight train left at the same time and traveled in the opposite direction with an average speed of 20 km/hr. Find the number of hours the freight train needs to travel before the trains are 400 km apart.

105. Bill made a trip to the recycling plant and back. The trip there took five hours and the trip back took three hours. He averaged 20 mph faster on the return trip than on the outbound trip. What was Bill’s average spped on the outbound trip?

Graph of quadratic with translation – new y-intercept106. The graph of y=x2 is shown. If the graphed function is translated to y=x2+2, what is the ordered pair that would represent the new y-intercept? Where will the new graph be in relation to the original?

107. The graph of y=x2+1 is shown. If Jacob graphs y=x2+3, what is the ordered pair that would represent the new y-intercept? Where will the new graph be in relation to the original

Coins in a jar, how many nickels, how many dimes?108. Sandy has a total of 35 coins in her money jar. If Sandy’s jar contains only nickels and dimes and the value of the coins is $2.50, how many nickels does Sandy have?

A line is represented by the first equation, what is another way to represent the same line?109. 3 x+2 y=4

110. y+3=35(x+5)

111. x+5 y=−15

112. 11 x+6 y=−18

113. 2 y+5=3 x

Parallel and Perpendicular Lines114. Two linear functions are represented by the set of ordered pairs and the graph below. Which statement is true about the relationship between the functions?

{(-4,-6),(-2,-2),(2,6),(4,10)}

A) The lines are parallelB) The linear are the sameC) The lines are perpendicularD) The lines are intersecting, but not

perpendicular.

115. What is the equation of the line that is perpendicular to the line shown below and passes through the point (-3, 4)

116. What is the equation of a line that passes through the point (-2, 1) and is parallel to the line y=2x-4?

Equations of Functions117. What is the equation of the function represented by this table of values?

118. What is the equation of the function represented by this table of values?

119. What is the equation of the function represented by this table of values?

A) y = - 3x + 8 B) y = x2+10 C) y = 3x2+2 D) y=3 × 2x

120. Gloria is a pet groomer. She charges $35 an hour plus a $20 fee. Gloria created the following table to help her to determine her price.

What is a function that Gloria should use to determine the price, P, for a job that takes h hours?

What is the solution to the following inequality?

121. 13

(6−x )≥−2

122. −12

(3 x+8 )≤−10

123. −( x−3 )+4≤−2x+5

Additional Problems

X -2 -1 0 1 2Y 2/9 2/3 2 6 18

X -2 -1 0 1 2Y 3/2

53/5 3 15 75

X -2 -1 0 1 2Y 14 5 2 5 14

Hours Cost1 $552 $903 $1254 $160

124. The director of a play must decide how much to charge per ticket. If tickets cost c dollars each, a total of (75-5c) people will attend the play. Which ticket price will generate the most income?

A) $1.00 B)$7.50 C)$15.00 D)$20.50

125. Evaluate: 5×4+18÷32+3×5

126. Which inequality statement is true?A) 7<√56<8 B) 25<√56<28 C) 58<√56<60

D) 3000<√56<32000127. The number 56 is 35% of what number?

128. What is the solution to the equation?

−8=− x4

−16

129. Theresa and her brother are going to combine their moneyt o buy a new DVD player. Theresa has $110.56 and her brother has $58.07. What is a reasonable sum of their savings?

130. Diane fenced in a 7 ft by 7 ft square piece of land for a rose garden. The rose garden is a 4 ft by 5 ft rectangle. She created a path between the fence and the rose garden. What is the area of the path?

131. What is the slope, m, and the y-intercept, b of a line that passes through the points (2, -1) and (5, -7)?

132. What is the solution to the equation? 4=3|w|−5

133. Jackie has her own business. She charges $45 an hour. Her weekly expenses are $575. How many hours does she have to work each week in order to have at least $1000 a week for expenses?

134. A tree casts a shadow that is 8 feet long. At the same time, a 6-foot man casts a shadow that is 4 feet long. How tall is the tree?

135. Jane put 25 marbles in a bag. There were 6 white, 2 green, 4 red, 5 purple, and 8 blue marbles. What is the probability that Jane will pick a green or blue marble if she pics a marble from the bag without looking?

136. Sam muliplies 65.9 times 3.407. He uses the rule for multiplication of significant figures to write his answer. What is his answer?

137. A micrometer is about 39.93×10−6∈¿long. A strand of human hair is about 100 micrometers wide. About how wide is a strand of human hair?

138. The number of gametes in a certain species is g=2n, where n is the number of cells individuals of the species have. What si the number of gametes if the individual has 12 cells?

139. The base of a parallelogram is 6 times its height. If the base is cut in half, the new area is what percent of the original area?

140. The River Watch publishes a monthly newsletter. It costs $.60 a copy to print each issue and $150 for research and writing. The newsletter sells for $1.20. How many copies of each issue does the River Watch have to sell to break even?

141. Leo earns $2500 a month salary plus 6% commission on his sales. If Leo earned $233.76 in commissions last month, what were his sales?

142. What is the solution to the equation? 22x+1

= 4x−4

143. Susan adds 12.0086, 10.30, and 9.075. She uses the rule for addition of significant figures to write her answer. What is her answer?

144. Byrne flies a small airplane for a delivery service in Alaska. The plane can carry a maximum of 1500 pounds. Byrne weighs 180 pounds and each box weighs 85 pounds. What is the greatest number of boxes Byrne can deliver in one trip?

145. What is the slope, m, and y-intercept, b, of a line through the points (-4,-2) and (-2,1)?

146. Elena wants to buy 3 tickets for a concert. Each ticket costs $16.95. She pays with three $20 bills. How much change should she receive?

147. Chandra uses the following formula to determine how much money she will have if she invests $20,000 at 6% interest compounde monthly for 5 years. A=P(1+ r

12%)

12t

where P is the principal, r is the rate, and t is the time in years. How much will she have at the end of the 5 years?

148. A gigagram is 1×109 grams. The mass of the Earth is about 6×1018 gigagrams. The mass of the Sun is about 2×1024gigagrams. How many times greater in mass is the Sun than the Earth?

149. Fiona placed a circle in a square to make pieces for a quilt. What is the area of the greatest circle that can be made in a square with sides of 6 inches?

150. Which inequality statement is true?A) 8<√75<9 B) 36<√75<37 C) 43<√75<44 D) 74<√75<76

151. Robby puts 12 marbles in a bag. There are 2 yellow, 4 green, and 6 other marbles. Robby picks a marble without looking. He does not put it back. Robby then picks another marble without looking. What is the probability that he will pick a green marble, then a yellow marble?

152. What is the solution to the equation? 5|x−2|−15=5

153. Evaluate: 2 [1−(4×5 ) ]+63

Performance Event 1:A shipping company charges $1.20 times the sum, s, of the length, width, and height fo a package to be shipped. All dimensions are

measured in inches. The company also charges $3.00 for processing the package to be shipped.

a. On the line below, write an equation that the shipping company can use for determining the cost, C, for shipping the package.

b. Joe is planning to ship a package that is 20in by 24in by 6in to his grandmother. Determine how much Joe will have to pay to ship the package. Show your work.

c. Design another box that Joe could use that would cost less than $60 to ship and would have the same volume as the box shown above. If each dimension must be a whole number, what are the dimensions of the new box?Length _________ Width ________ Height _________

Performance Event 2:When flying a kite, the strength of the wind determines the maximum

flying height of the kite. The maximum flying height of a kite is a function fo the wind speed. Here is one formula for this function: h=¿, where h is the maximum height in feet and s is the wind speed in miles per hour.

a. Complete the following table of values for the function. Then, graph the function.

b. Why aren’t there any negative values of s in the table?

c. Using the graph, what is the approximate value of h when s is 35?

d. Using the graph, what is the wind speed when the kite is at 700ft?

e. Describe the graph of the function.

S H01020304050

Performance Event 3A company has fixed costs of $3600 and variable costs of $2.25 per disk to produce a computer disk. The disks sell for $4.50 each.

a. In the space below, write and graph a system of equations to represent this situation.System of Equations: ___________________

___________________

Dollars count by 900Disks count by 400

b. How many disks must be produced and sold for the total cost to equal the revenue generated by sales? ______________

c. At what dollar amount are the total cost and the revenue the same? ________________

d. Which function is growing faster? _____________________Explain: ________________________________________________________________________________________________________________________________________________________________________________________________________________________

KEY1. 9 x2+36 x+362. 16b2−32b+163. r2+14 r+494. 36 x2+48 x+165. 16−32x+16 x26. 5x -147. -3x + 58. 2x + 19. 4x 10. -4x11. 90x + 450 > 135012. 20x + 15y < 60013. 12x + 27y < 32414. y-intercept remains the same, x-intercept changes15. Same slope, shifts up 4 units16. Changes from negative to positive slope, y-intercept remains

the same, x-intercept changes

17. Opens up instead of down, vertex remains the same18. Narrower19. 3(2 x2+5x−12)20. 2x(x2 - 20x – 12)21. x(x2 + 11x – 42)22. 50 would represent the y-intercept23. Rate of change is 25; y-intercept is 30; function is f(x) = 25x +

3024. x=-2 and x=125. x=9 and x=426. x=6 and x=127. y=75 (may differ)28. y=-5/7x + 6 (may differ)29. 50% (may differ)30. y=-25/7x+100 (may differ)31. 35 (may differ)32. y = x – 233. A34. A35. A36. 2x3 + 2x2 - 10x37. -5y + 4538. -3x3 + 6x2 – 18x

39. -4640. -4x + 841. 4 years42. B43. 7x + 10(12 – x) = 9644. Van holds 6, Bus holds 3445. 4 Adults, 36 Children46. 3 Bananas, 5 Apples47. Yes (x+5)(x-2)48. Yes (x+4)(x-3)49. No50. Yes (x+3)(x-1)51. No52. Exponential53. Linear54. Quadratic55. 32x10

56. 8x4y57. 1

4096 x8 y8

58. y2x8

59. x2 y3

360. No Rectangle Area = 5x2 + x and Triangle Area = 4x2 + 4x61. B, there is no consistent slope of 3 like the others62. x=-2 and x=-163. x=4 and x=-364. x=-8 and x=-265. x=4 and x=-366. x=4 67. 7468. 10469. 12,582,91270. 3n + 271. 5n + 1072. (-11, -25)73. (-3, 14)74. (3, 4)75. Original Median = 13.5, New Median = 12; Difference of 1.576. Original Mean = 16.2, New Mean = 13.2; Difference of 377. Same Line (Coinciding)

78. Parallel Lines79. Same Line (Coinciding)80. -6x +1281. 4b4 + 8b3 -1b2 -1b82. 9r3 – 1r2 – 7r83. 3n3 + 13n84. 4n4 – 15n +185. y < 2x – 1 and y > - ½ x +186. ---87. D88. A89. A90. C91. (-1,0) and (5,0)92. Yes93. No94. No95. No96. Yes97. No98. No99. No100. Yes101. 5 gallons102. 75 mph103. 1 hour104. 10 hours105. 30 mph106. (0,2) 2 units higher107. (0,3) 2 units higher108. 15 dimes and 20 nickels109. y=−3

2x+2

110. y=35x

111. y=−15x−3

112. y=−116x−3

113. y=32x+ 52

114. D115. y = 3x + 13

116. y = 2x + 5117. y=2∙3x

118. y=3 ∙5x

119. C120. P = 35x + 20121. x < 4122. x > 4123. x < -2124. A125. 28126. A127. 160128. -32129. Approximately $170130. 29131. y=−7

3x+ 113

132. 3 and -3133. x > 9.4 or 10 hours134. 12 feet135. 2/5136. 224.5137. .003993 or 3.993×10−3

138. 4096139. 50%140. 250141. $3896142. x=2143. 31.38144. 15145. y=3

2x+4 ;m=3

2, b=4

146. $9.15147. $26977.00148. 333,333.3149. 28.26150. A151. 1/11152. x=6 and x=-2153. 178Performance Event 1

a. C=1.20s+3b. $63c. Length = 10, Width = 24, Height = 12 (may differ)

Performance Event 2a. (0,0), (10,8), (20, 64), (30, 216), (40, 512), (50, 1000)

*Graph should match points *b. Wind speed cannot be negativec. 343 (may differ)d. 44 (may differ)e. Exponential

Performance Event 3a. Expenses: (0,3600) (400,4500) (800,5400) (1200,6300) (1600,7200)

Revenue: (0,0) (400,1800) (800,3600) (1200,5400) (1600,7200)*Graph should be two lines that intersect*

b. 1600c. $7200d. Revenue is grower faster, it has a slope of 4.50 compared to the

Expense slope of 2.25.