Algebra I EOC Packet #

Transcription

1 1. Which inequality best describes the graph shown below? A y > x + 5 B y < x + 5 C y < x + 5 D y > x The table shows a set of values for x and y. x y Which equation best represents this set of data? A y = x + 2 B y = -2x + 1 C y = -3x 2 D y = 2x of 15

2 3. Which inequality best describes the graph below? A x y 3 B x + y -3 C x + y -3 D x y 3 E x y The graph of a function is shown below. Which equation best describes the function? A y = x 5 B y = -3x 5 C y = x 5 D -3x of 15

3 5. The graph of a function is shown below. Algebra I EOC Packet # Which equation best describes the function? A y = x 4 B y = x 4 C y = x 4 D y = x 4 6. The original function y = x + 4 is graphed on the same grid as the new function y = x + 4. Which of the following statements about these graphs is true? A The graph of the original function is steeper than the graph of the new function. B The graph of the original function is parallel to the graph of the new function. C The graphs intersect at (4, 0). D The graphs intersect at (0, 4). 3 of 15

4 7. A math club decided to buy T-shirts for its members. A clothing company quoted the following prices for the T-shirts. Math Club T-Shirts Number of T-Shirts Total Cost (dollars) Which equation best describes the relationship between the total cost, c, and the number of T- shirts, s? A c = 6.75s B c = 7.00s C c = 2s 20 D c = s 8. The table below shows ordered pairs of a linear function. What are the x- and y-intercepts for the graph of this linear function? A x-intercept: (-6, 0) C x-intercept: (0, 9) y-intercept: (0, 9) y-intercept: (-6, 0) B x-intercept: (0, -6) D x-intercept: (9, 0) y-intercept: (9, 0) y-intercept: (0, -6) 4 of 15

5 9. Which equation describes a line that has a y-intercept of 5 and a slope of? A y = 5 + x B y = (5 + x) C y = 5x + D y = (5x + 1) 10. What is the slope of the line that contains the coordinate points (8, -3) and (-2, 7)? A -1 B C D 5 of 15

6 11. In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents a slope of 55 mph? A W B X C Y D Z 12. What is the slope of the linear function shown in the graph? A C B D 6 of 15

7 13. What are the x- and y-intercepts of the function graphed below? A (4, 0) and (5, 0) B (4, 0) and (0, 5) C (0, 4) and (5, 0) D (0, 4) and (0, 5) 14. The cost of renting a car for 1 day at Cars Plus is $20 plus 10 cents per mile driven. The cost of renting a car for 1 day at Need-A-Car is $20 plus 15 cents per mile driven. In a graph of the cost of a car rental, what does the cost per mile driven represent? A The x-intercept B The y-intercept C The slope D The point of intersection 15. Which function includes the data set {(2, 4), (6, 6), (12, 9)}? A y = 2x B y = C y = 2x 9 D y = of 15

8 16. Mark and his friends are baking cookies for a bake sale. The graph below shows the total number of cookies they have compared to the number of hours they bake. Time (hours) How would the graph change if Mark and his friends were given 20 cookies when they started baking? A The y-value of the y-intercept would increase. B The slope would increase. C The y-value of the y-intercept would decrease. D The slope would decrease. 17. Jemma and her cousin went to a restaurant for dinner. Jemma s dinner cost $5 more than her cousin s. If their combined bill was under $25, which inequality best describes the cost of their dinners? A x + 5 < 25x B x + (x + 5) < 25 C x + (x + 25) < 5 D x (x + 5) < Mr. Gomez works five 8-hour shifts and earns $480 per week. Which equation represents the direct variation between x, the number of hours worked, and y, his weekly earnings? A y = 60x B y = x C y = x D y = 12x 8 of 15

9 19. The amount of chlorine, y, needed for a swimming pool varies directly with the amount of water, x, needed to fill the pool. If 16 units of chlorine are needed for every 1250 gallons of water, which of the following represents the equation of direct variation? A y = x B y = x C y = x D y = x 20. A small business purchased a van to handle its delivery orders. The graph below shows the value of this van over a period of time. Which of the following best describes this situation? A The van was purchased for $1,600. B The van decreases in value by $1,600 per year. C The van increases in value by $1,600 per year. D The van has no value after 5 years. 9 of 15

10 21. The ratio of two integers is 4:9. The smaller integer is 36. Find the larger integer. A 49 B 63 C 72 D Dr. Silva is planning a dinner party. She is buying 2 pounds of shrimp for every 5 guests. If she is expecting 30 dinner guests, how many pounds of shrimp does she need to buy? A 6 B 10 C 12 D Not Here 23. Solve the following for x: 3(x+5) = 30 A x = 3 B x = -3 C x = 5 D x = Solve the following for d: -2(4d-5) = 70 A d = -7.5 B d = 7.5 C d = -10 D d = of 15

11 25. Solve the following for y: -y 8=3y + 16 A y = 2 B y = -2 C y = -6 D y = 6 11 of 15

12 26. The graph of a line that contains the points (-1, -5) and (4, 5) is shown below. Which best represents this line if the slope is doubled and the y- intercept remains constant? A C B D 12 of 15

13 27. The table below shows various values for x and y. Which equation best describes the relationship between x and y? A y = -3x + 5 B y = -5x 7 C y = -x + 17 x y D y = 3x The line segment on the graph shows the altitude of a landing airplane from the time its wheels are lowered to the time it touches the ground. Which of the following best describes the slope of the line segment? A The plane descends about 1 foot per 8 seconds. B The plane descends about 8 feet per second. C The plane descends about 1 foot per 2 seconds. D The plane descends about 2 feet per second. 13 of 15

14 29. Kimberly wants to complete at least of her algebra problems by 8 P.M. If she has x algebra problems to complete, which inequality can Kimberly use to determine y, the number of algebra problems she wants to complete by 8 P.M.? A y x - B y < x + C y < x D y x 30. Mr. Tovar works 40 hours a week as a sales representative at a tire store. He earns $6.75 an hour, plus 4% commission on his total sales of tires. If Mr. Tovar s hourly rate is changed to $7.25 and his commission is changed to 2%, how will his gross earnings be affected if his tire sales for a 40-hour work week are $3000? A Mr. Tovar s gross earnings will be $20 less. B Mr. Tovar s gross earnings will be $40 less. C Mr. Tovar s gross earnings will be $20 more. D Mr. Tovar s gross earnings will be $40 more. 31. To which of the following situations can the function y = 5x + 10 best be applied? A The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour B The total weight on a scale of 5 pounds is placed there initially and a series of 10-pound weights are added to it C The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips D The combined length of 5 boards, each 10 feet longer than the width of a doorway 14 of 15

15 32. Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected. 90 Ryan s Composition Sentences Written Time (minutes) 60 At what rate does Ryan write his composition? A 0.5 sentence per minute B 1 sentence per minute C 1.5 sentences per minute D 2 sentences per minute 15 of 15