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1 Study Island Copyright 2015 Edmentum - All rights reserved. Generation Date: 05/26/2015 Generated By: Matthew Beyranevand Students Entering Grade 9 Part_2_Questions and Answers 1. Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 39 vehicles participated in the ride. The total number of tires of all the vehicles was 102. Assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride?. 12 cars; 27 motorcycles 16 cars; 23 motorcycles 14 cars; 25 motorcycles 9 cars; 30 motorcycles Proportional Relationships 3. Compare the rates of change of the following equation and table. y = 1.8x x y The rate of change of the table is equal to the rate of change of the equation. There is not enough information to determine the rate of change of the equation and the table. The rate of change of the equation is less than the rate of change of the table. The rate of change of the table is less than the rate of change of the equation.

2 Proportional Relationships 4. Katherine is having cloth napkins embroidered with her initials. The cost for the embroidery is $4.50 per napkin. Which graph represents the total cost for embroidering x napkins? W. X. Z X Y W Y. Z.

3 5. Which value for x makes the sentence true? Proportional Relationships 6. Rebecca recorded the amount of rain last Wednesday. At what rate did the rain fall? 7. Sue's Sushi placed two orders with its fish supplier. One order was for 11 pounds of salmon and 6 pounds of tuna; the order totaled $158. The other order was for 8 pounds of salmon and 4 pounds of tuna; this order totaled $112. What is the cost for one pound of salmon and one pound of tuna? $12 salmon; $6 tuna $10 salmon; $8 tuna $7 salmon; $11 tuna $6 salmon; $12 tuna

8. Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous visit, and she earns 5 tickets for each game she plays.

y = 5x + 250 If Meredith needs 370 tickets to exchange for the prize she wants, how many games does Meredith need to play? 74 19 24 124 9.

4 8. Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 250 tickets from a previous visit, and she earns 5 tickets for each game she plays. In the equation below, x represents the number of games Meredith plays, and y represents the number of tickets she needs for the prize. y = 5x If Meredith needs 370 tickets to exchange for the prize she wants, how many games does Meredith need to play? Micah has an electricity plan where he is charged a monthly fixed rate of $3.78 and a usage fee of $0.14 per kilowatt-hour. In the equation below, x represents the amount of electricity he used, and y represents the amount Micah was charged for electricity. y = $0.14x + $3.78 If Micah was charged $ for electricity last month, how much electricity did he use? 49 kilowatt-hours 1,300 kilowatt-hours 182 kilowatt-hours 1,327 kilowatt-hours 10. Which of the following best describes the solution to the system of equations below? 3x + 5y = 11 9x + 15y = 33 The system of equations has exactly one solution where and. The system of equations has no solution. The system of equations has exactly one solution where and. The system of equations has infinitely many solutions.

5 Proportional Relationships 11. The cheerleading squad is creating banners for an upcoming pep rally. The proportion of length to height for the banners must be 3 to 1. Which graph represents this proportion? W. X. X Z Y W Y. Z. 12. Which value for x makes the sentence true? x - 3 = 2x Solve for x. x = 56 x = -10 x = 70 x = 84

14. Use elimination to find the solution to the system of equations. 15. Betty is having invitations printed for a holiday party. It costs $4.20 to set up the printing machine and $2.

6 14. Use elimination to find the solution to the system of equations. 15. Betty is having invitations printed for a holiday party. It costs $4.20 to set up the printing machine and $2.14 per invitation. In the equation below, x represents the number of invitations Betty is having printed, and y represents the cost to print the invitations. How much will it cost Betty to print 125 invitations? $ $ $ $ y = $2.14x + $ Which of the following best describes the solution to the system of equations below? The system of equations has no solution. -5x + y = -3 6x - y = 3 The system of equations has infinitely many solutions. The system of equations has exactly one solution where x = 0 and y = -3. The system of equations has exactly one solution where x = 5 and y = 3.

and (-4, 0) is equal to its slope between the points (0,

Which of the following best describes triangle TUV and

Triangle TUV is congruent to triangle XYZ.

Triangle TUV is similar to triangle XYZ. 19. Solve for x.

Philip wants to replace his existing fence.

7 Proportional Relationships 18. The slope of the line shown between the points (-7, -3) and (-4, 0) is equal to its slope between the points (0, 4) and (6, 10). Which of the following best describes triangle TUV and triangle XYZ? The length of TU is equal to XY. Triangle TUV is congruent to triangle XYZ. The length of TV is equal to XZ. Triangle TUV is similar to triangle XYZ. 19. Solve for x. Proportional Relationships 20. Philip wants to replace his existing fence. He received a quote from a general contractor based on the graph below. The graph shows the cost of a new cedar fence based on the number of feet. What is the unit rate of the graph? $1 per foot $10 per foot $20 per foot $5 per foot

21. The following system of equations is graphed below. Find the solution to the system. x = 3, y = 4 x = 0, y = -1 x = -3, y = 1 x = 3, y = -3 22. Which value for x makes the sentence true?

8 21. The following system of equations is graphed below. Find the solution to the system. x = 3, y = 4 x = 0, y = -1 x = -3, y = 1 x = 3, y = Which value for x makes the sentence true? x = 1 x = 12 x = 2 x = Which value for x makes the sentence true? x = 7 x = 3 x = 1 x = 10 9x = 3x + 6 7x + 3 = Use elimination to find the solution to the system of equations.

9 Proportional Relationships 25. Henry and Blake are both runners. In 3 hours, Henry runs 21 miles. In 6 hours, Henry runs 42 miles. The graph below represents the number of miles Blake runs in x hours. Who runs at a slower speed? Blake runs at a slower speed. There is not enough information to determine their speed. Henry runs at a slower speed. Henry and Blake run at the same speed. 26. Use elimination to find the solution to the system of equations.

Proportional Relationships 28. Joanna is filling her swimming pool with water.

At what rate is the depth of the pool water increasing? Proportional Relationships 29.

The equation below represents the amount of a discount for an item that costs x dollars at

2x The graph below represents the amount of a discount for an item that costs x dollars at

10 Proportional Relationships 28. Joanna is filling her swimming pool with water. The graph below shows the depth of the water as time passed. At what rate is the depth of the pool water increasing? Proportional Relationships 29. Store A and store B are each running specials in their stores. The equation below represents the amount of a discount for an item that costs x dollars at store y = 0.2x The graph below represents the amount of a discount for an item that costs x dollars at store Which store is offering the greater discount? Store B is offering the greater discount. Store A is offering the greater discount. Store A and store B are offering the same discount. There is not enough information to determine the amount of the discount.

31. Which value for x makes the sentence true?

While at the dog park, Coral observes the proportion

Which graph represents this proportion? W. X.

Which of the following best describes the solution to

11 31. Which value for x makes the sentence true? Proportional Relationships 32. While at the dog park, Coral observes the proportion of German shepherds to golden retrievers is 1 to 2. Which graph represents this proportion? W. X. W X Z Y Y. Z. 33. Which of the following best describes the solution to the equation below? no real solutions 4x + 13 = 4x + 23 infinite real solutions exactly one real solution, exactly one real solution,

12 36. Which of the following best describes the solution to the equation below? 14x + 9 = 7x + 48 exactly one real solution, infinite real solutions no real solutions exactly one real solution, Proportional Relationships 37. At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $ Which graph represents the amount of revenue the salon will earn in one day for x haircuts? W. X. Y Z X W Y. Z. 38. Solve the following system of equations. x = 12, y = -84 x = 5, y = x = -2, y = -28 x = -28, y = -2 8x + 5y = x + y = -36

39. Which value of x makes the following equation

Solve the following system of equations.

13 39. Which value of x makes the following equation true? 5(x - 2) + 66 = -2x 40. Which value of x makes the following equation true? (x - 3) = -0.5x Solve the following system of equations. x = 3, y = -28 x = 12, y = -64 x = -28, y = 3 x = 5, y = -32 8x + 4y = -88 4x + y = -16

Use the graph below to estimate the solution to the system of equations shown. 46.

14 42. Solve the following system of equations. x = -32, y = 2 x = 2, y = -32 x = 5, y = -38 x = 12, y = -72 8x + 4y = x + y = Use the graph below to estimate the solution to the system of equations shown. 46. Which of the following best describes the solution to the equation below? 8x + 3 = 8x + 3 exactly one real solution, no real solutions infinite real solutions exactly one real solution,

47. Which value for x makes the sentence true?

Between the two of them, they teach 36 yoga classes each week.

15 47. Which value for x makes the sentence true? x - 5 = 6x Solve for x. 50. Which value of x makes the following equation true? (x - 4) = -2x Bo and Erica are yoga instructors. Between the two of them, they teach 36 yoga classes each week. If Erica teaches 15 fewer than twice as many as Bo, how many classes does each instructor teach per week? 19 Bo; 17 Erica 14 Bo; 22 Erica 21 Bo; 15 Erica 17 Bo; 19 Erica

16 Proportional Relationships 52. Amber recorded the prices of candy, based on weight, from two different stores in the table and graph below. Sam's Candy Shoppe Weight (lbs) Price 5 $ $ $ $28.00 Which company has the cheaper price per pound? Carmine's Candy has the cheaper price per pound. Sam's Candy Shoppe has the cheaper price per pound. Both candy stores have the same price per pound. There is not enough information to determine the price per pound. Proportional Relationships 54. Noel and Joy started dancing in an effort to lose weight. Noel recorded the number of calories she burns in x hours in the table below. Joy recorded the the number of calories she burns in x hours in the graph below. Noel's Burned Calories Hours Calories 6 1, , , ,250 Who burns more calories per hour? Noel burns more calories per hour. Joy burns more calories per hour. There is not enough information to determine who burns more calories. Noel and Joy burn the same amount of calories per hour.

both lie on line X. The slope of line X between (-7, 6) and (-4, 4) is.

Susannah has a high-yield savings account into which she deposits $200 each

In the equation below, x represents the amount of time, and y represents

17 Proportional Relationships 55. Triangle LMN is similar to triangle PQR, and the hypotenuses of the triangles both lie on line X. The slope of line X between (-7, 6) and (-4, 4) is. What is the slope of line X between (-1, 2) and (5, -2)? 56. Susannah has a high-yield savings account into which she deposits $200 each month. At the beginning of the year, Susannah's account balance is $800. In the equation below, x represents the amount of time, and y represents Susannah's account balance. y = $200x + $800 Not including interest, what will her account balance be at the end of the year? $2,800 $3,300 $2,400 $3,200

Proportional Relationships 57. The line shown has a slope of ½ between point J and point L and between point R and point T. Which of the following best describes triangle JKL and triangle RST?

18 Proportional Relationships 57. The line shown has a slope of ½ between point J and point L and between point R and point T. Which of the following best describes triangle JKL and triangle RST? The length of JK is equal to the length of RS. Triangle JKL is similar to triangle RST. Triangle JKL is congruent to triangle RST. The length of JL is equal to the length of RT. 59. Pearl inherited a collection of pottery that contained 37 pieces, and she has added 7 pieces of pottery to her collection each month since then. In the equation below, x represents the time since Pearl inherited the collection, and y represents the number of pieces now in her collection. y = 7x + 37 If she has been adding pottery pieces to her collection for 15 months, how many pieces are now in her collection? Which value of x makes the following equation true? (x - 3) - 16 = 2(x - 8) + 8

19 61. Use elimination to find the solution to the system of equations. 62. Use elimination to find the solution to the system of equations.

of 30 miles per gallon when driving on a

Which graph represents the fuel efficiency of

20 Proportional Relationships 63. A car is advertised as having a fuel efficiency of 30 miles per gallon when driving on a highway. Which graph represents the fuel efficiency of this car? W. X. Y. Z. Z X Y W 66. Solve the following system of equations. x = 2, y = 13.8 x = 9, y = -10 x = 8, y = 4.5 x = -10, y = 9-2x + 5y = 65 x + 4y = Solve for x. x = 64 x = -8 x = -6 x = -10

21 70. Which of the following best describes the solution to the equation below? 30x + 21 = -45x - 10 exactly one real solution, no real solutions infinite real solutions exactly one real solution, Proportional Relationships 72. Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar cookies. If Megan plans to make x bags of cookies, the equation below represents the total number of cookies she will need to make. y = 9x Heidi recorded the total number of cookies she would need to make in the table shown below. Bags Total Number of Cookies If Megan and Heidi make the same number of bags of cookies, who will have to make the least amount of cookies? Heidi will have to make the least amount of cookies. There is not enough information to determine who will have to make the least amount of cookies. Heidi and Megan will have to make the same amount of cookies. Megan will have to make the least amount of cookies.

22 73. Solve the following system of equations. x = 8, y = -8 x = -8, y = 8 x = 2, y = 13 x = 8, y = 4-2x + 4y = 48 x + 4y = 24 Proportional Relationships 74. Max is a software consultant who earns $1,000 a day for working an 8-hour shift. Which graph represents the amount of money he earns in x hours? W. X. W Z Y X Y. Z.

23 Proportional Relationships 75. Matilda and Kathryn went on different road trips over spring break. The equation below represents the number of miles Matilda drove in x hours. y = 60x The table below shows the number of miles Kathryn drove in x hours. Who drove at a greater speed? Matilda drove at a greater speed. Time (in hours) Matilda and Kathryn drove at the same speed. Kathryn drove at a greater speed. Distance (in miles) There is not enough information to determine their speeds. 77. Which value for x makes the sentence true? x = 5 x = 24 x = 4 x = 20 4x - 3 = Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $5 for children. Ninety-two adults and children attended, and $772 was made in ticket sales. How many children and how many adults went to the film premiere? 18 children; 74 adults 11 children; 81 adults 8 children; 84 adults 14 children; 78 adults

80. Joanna went school supply shopping. She spent $25.90 on notebooks and pencils.

She bought a total of 15 notebooks and pencils. How many of each did she buy?

pencils 82. Line A has a slope of and passes through the point.

24 80. Joanna went school supply shopping. She spent $25.90 on notebooks and pencils. Notebooks cost $2.50 each and pencils cost $1.34 each. She bought a total of 15 notebooks and pencils. How many of each did she buy? 5 notebooks; 10 pencils 10 notebooks; 5 pencils 3 notebooks; 12 pencils 8 notebooks; 7 pencils 82. Line A has a slope of and passes through the point. Line B has a slope of and passes through the point. Find the point where line A intersects line 83. Use the graph below to estimate the solution to the system of equations shown.

25 86. -2x + 4y = -4 x - 3y = 6 The system of equations above is graphed below. Find the solution to the system. x = 0, y = -6 x = -6, y = -4 x = -6, y = -3 x = -6, y = 4 Proportional Relationships 87. Compare the slope of the following equation and graph by determining which line is steeper. There is not enough information to determine the steepness of the lines. The line shown in the graph is steeper than the line represented by the equation. The line represented by the equation has the same steepness as the line shown in the graph. The line represented by the equation is steeper than the line shown in the graph.

26 88. Solve the following system of equations. x = 8, y = x = 14, y = -5 x = -5, y = 14 x = 2, y = x + 5y = 85 x + 4y = Which value for x makes the sentence true? x = 8 x = 3 x = 4 x = 0 3x = -3x Solve the following system of equations. x = 2, y = 12.8 x = -10, y = 8 x = 8, y = 4.4 x = 8, y = -10-2x + 5y = 60 x + 5y = 30

27 Answers 1. A D 4. B 5. C 6. D 7. B 8. C 9. B 10. D 11. C 12. A 13. C 14. B 15. D C 18. D 19. A 20. C 21. C 22. A 23. C 24. C 25. C 26. A B 29. A D 32. C 33. A D 37. C 38. C 39. D 40. B 41. A 42. B B 46. C 47. A 48. A

28 50. D 51. D 52. A D 55. C 56. D 57. B D 60. B 61. A 62. A 63. A D B A A 73. B 74. C 75. A A D 80. A D 83. D B 87. B 88. C 89. C 90. B

Algebra I Practice Exam

Algebra I Practice Exam Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright