algebra 1 2013-2014 spring break packet - ada merritt k-8...

Algebra 1 2013-2014 Spring Break Packet

Office of Academics and Transformation of 21

Name: ______________________________________________ Period: _________ Date: ____________

1. Which of the following graphs does not represent as a function of ?

A.

B.

C.

D.

2. It is given that , , and .

What is ?

A.

B.

C.

D.



3. Which of the following are the domain and range for the graph shown below?

A.

B.

C.

D.

4. If a rectangular poster has an area of (2 − 9x + 10) square units, which of the following could describe the

dimensions of the poster?

A. (2x − 2) units by (x − 5) units

B. (2x − 10) units by (x + 1) units

C. (2x − 5) units by (x − 2) units

D. (2x − 1) units by (x − 10) units

5. Which situation is best represented by the function , where ?

A. An office-supply store sells boxes of ballpoint pens that contain a dozen pens per box for each.

B. An Olympic swimmer trains by swimming 12 kilometers on each of weekdays and 5 kilometers on each day of the weekend.

C. An algebra quiz has problems worth 12 points each plus 5 extra-credit problems worth 5 points each.

D. A company sells baseball caps for each and charges a shipping fee.



6. Tonya surveyed people to see where they receive their daily news information. She recorded her results in the Venn diagram below. How many people get their daily news from TV?

A. 45

B. 56

C. 66

D. 99

7. Mr. Czar wants to order some candy bars for the math team’s annual fund-raiser. The graph below shows

the total cost for an order of fewer than 5 boxes of candy bars, including the standard fee for shipping and handling.

Based on the graph, which of the following best describes this situation?

A. Each box of candy bars costs $36.

B. Each box of candy bars costs $20.

C. Each box of candy bars costs $16.

D. Each box of candy bars costs $12.



8. Which of the following best represents the solution to the system of linear equations shown below?

A.

B.

C.

D.

9. What is the solution set for the equation ?

A. {− , }

B. {−4 , 4 }

C. {−2 , 2 }

D. {−4, 4}



10. Which of the following best describes the graph of the system of equations shown below?

A. The lines are parallel. B. The lines are the same. C. The lines intersect but are not perpendicular. D. The lines intersect and are perpendicular.

11. Simplify the algebraic expression

A. B. C. D.

12. Some employees of Ace Corporation left their office building and drove separately on the same road to a

convention. The graph shows the distance traveled by each employee after 5 hours of nonstop driving at 4 different speeds.

Which employee drove at the slowest rate to the convention?

A. Mr. Able B. Ms. Ruiz C. Ms. Woo D. Mr. Hill

13. Find the points at which the graph of the equation crosses the and the

A. and

B. and

C. and

D. and



14. Which is the solution to this pair of linear equations?

A.

B.

C.

D.

15. What is the equation of the line that passes through the points (2, 5) and

A.

B.

C.

D. –

16. Kelly will enclose her rectangular tomato garden with 32 feet of fencing material. She wants the length of

the garden to be at least three times the width. What is the minimum length that will meet Kelly’s conditions?

A.

B.

C.

D.

17. Which inequality describes the value of in the graph of if this equation models the

height of the section of the roller coaster shown below?

A.

B.

C.

D.



18. What are the zeros of the function ?

A.

B.

C.

D.

19. Which expression is equivalent to ?

A.

B.

C.

D.

20. A theater owner graphed the number of tickets sold versus the price of a ticket. Which statement best

describes her findings?

A. With a higher ticket price, she sold more tickets.

B. With a lower ticket price, she sold more tickets.

C. With a lower ticket price, she sold fewer tickets.

D. Regardless of ticket price, the number of tickets sold remained the same.

21. The members of a school math club want to buy shirts that have the club’s logo on them. Each shirt costs

$11. In addition, there are 2 one-time fees: a fee of $77 to design the logo and a fee of $1.50 per letter used in the logo. If the math club’s logo contains 22 letters, which equation can be used to find , the total amount the math club will pay for shirts?

A.

B.

C.

D.

22. What is the equation of the line that passes through and has a slope of zero?

A. B. C. D.



23. A car rental agency charges a fee of $25 per day to rent a compact car plus $0.15 per mile driven. If the car is driven miles in 1 day, the equation can be used to find the total charges for a 1-day compact-car rental. If the rental agency reduces the fee for renting a compact car by and increases the rate per mile driven by $0.05, which equation can be used to determine the new cost of renting a compact car for 1 day and driving miles?

A.

B.

C.

D.

24. Nancy plans to take her cousins to an amusement park. She has a total of $100 to pay for 2 different

charges.

• $5 admission per person • $3 per ticket for rides

Which inequality could Nancy use to determine , the number of tickets for rides she can buy if she pays the admission for herself and cousins?

A.

B.

C.

D.

25. The graph below shows the distance and time of Roberto’s car trip. What does the slope of the line mean?

A. Roberto traveled 0.017 mi/h. B. Roberto traveled for 5 h. C. Roberto traveled 60 mi/h. D. Roberto traveled 300 mi.

26. Which relation is NOT a function?

A.

B.

C.

D.



27. Which graph represents the solution set of ?

A.

B.

C.

D.

28. Which of the sentences below does the following function rule represent?

A. the temperature of metal after minutes of being heated in an oven as it increases in temperature by 15°C per minute from a starting temperature of 750°C

B. the value of an investment decreases by 15% for each of years from an initial value of $750,000

C. the height of an elevator after seconds; the initial height of the elevator is 750 meters and the elevator is ascending at a rate of 15 meters per second

D. the height of a mountain climber after minutes; the climber starts at a height of 750 meters and descends at a rate of 15 meters per minute

29. The table below contains data for the growth of a plant over several weeks. What equation can be used to

estimate the plant’s height in 10 weeks?

Weeks Height (cm)

2 3.5

5 10.25

6 12.5

10 21.5

A.

B.

C.

D.

30. Given and , what is ?

A.

B.

C.

D.



31. What is the equation of the inequality shown below?

A. B. C. D.

32. Line segment is graphed on the coordinate grid.

Which of the following best represents the slope of a line perpendicular to segment JK?

A.

B.

C.

D.



33. Which line has an undefined slope?

A.

B.

C.

D.

34. Ida has a budget of $25 to spend on flowers. A package of flowers costs $1.99, and a hanging basket of

flowers costs $5.10. Both prices include tax. Which inequality can be used to determine , the number of packages of flowers she can buy if she also buys a hanging basket of flowers?

A.

B.

C.

D.

35. A waitress at a local restaurant earns $3.25 per hour plus tips. In two weeks she earned a total of $720,

including $531.50 in tips. How many hours did the waitress work during this 2-week period?

A.

B.

C.

D.

36. Jeremy is hosting a Halloween party for 80 children. He will give each child at least one candy bar. If each

bag of candy contains 18 candy bars, which inequality can be used to determine how many bags, , Jeremy will need to buy?

A.

B.

C.

D.



37. The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.

What does the slope of the graph represent?

A. The number of hours of work it takes to earn $320

B. The amount of money earned per hour

C. The amount earned for 40 hours of work

D. The number of hours worked per dollar earned

38. Which is NOT true about the data in the table?

A. The domain is {5, 10, 20, 35, 40}.

B. The range is {0.25, 0.5, 1, 1.75, 2}.

C. The independent variable is distance.

D. The relationship is a function.



39. 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

40. An architect is designing an office building with floors that will have an FM radio antenna 15.85 meters

(m) tall on its roof. Each floor of the building will be 3.9 meters (m) high. Which function can be used to find the total height of the building in meters, including the FM antenna?

A.

B.

C.

D.

41. What is the equation of the line that passes through the point and is parallel to the graph of the

equation ?

A.

B.

C.

D.

42. What is the range of the function shown below?

A.

B.

C.

D.



43. The graph of a function is shown below.

Which of the following best represents the points where this function intersects the x-axis?

A.

B.

C.

D.

44. What are the y-intercept and the slope of the graph of the following equation?

A.

B.

C.

D.

45. What is the complete factorization of the polynomial shown?

A.

B.

C.

D.



46. What is the graph of the equation?

A.

B.

C.

D.

47. What is the solution of the proportion ?

A.

B.

C.

D.

48. What is the factored form of the polynomial below?

A. –

B. –

C. –

D. –



49. Which of the following best represents the graph of the inequality ?

A.

B.

C.

D.

50. Which of the following graphs represents the solution of the inequality below?

A.

B.

C.

D.



51. A student borrowed $2000 from his parents y to buy a car. The student is paying back his parents $50 per week. Which of the following equations represents the relationship between , the number of weeks the student has been paying back his parents, and , the amount of money left to pay back?

A.

B.

C.

D. –

52. What is the simplest form of the expression below?

A.

B.

C.

D.

53. What is the solution to the equation below?

A.

B.

C.

D.

54. What are the solutions to ?

A.

B.

C.

D.

55. A card shop sells wrapping paper for $5 per roll and $3 for flat wrap. In one week the shop sold 80 packages

of wrapping for $300. How many rolls of wrapping paper were sold?

A. 20

B. 30

C. 50

D. 60



56. A diagram of Lynne’s rectangular yard is shown below.

Expressions representing the area and length of Lynne’s yard are as follows: Area of yard: Length of yard: Which of the following expressions represents the width of Lynne’s yard?

A.

B.

C.

D.

57. A rectangular soccer field and expressions representing its dimensions, in yards, are shown in the diagram

below.

Which of the following expressions represents the perimeter, in yards, of the soccer field?

A.

B.

C.

D.

58. What are the solutions of the equation below?

A.

B.

C.

D.



59. What is the equation of the line?

A.

B.

C.

D.

60. What is the graph of the equation - ?

A.

B.

C.

D.



61. What is the simplified form of ?

A.

B.

C.

D.

62. Which of the following is the solution to the equation ?

A. 1

B. -1

C. -6

D. -16

63. Colin surveyed all the athletes in his class who participate in at least one of the following sports: football, basketball, and track and field. His results are shown in the Venn diagram below. How many athletes participate in exactly two of the three sports?

A. 47

B. 42

C. 33

D. 30

64. What equation do you get when you solve for ?

A.

B.

C.

D.



65. Felicia wants to buy uniforms for her softball team. She can spend up to $600, and each uniform costs $85.Which inequality represents the number of uniforms u she can buy?

A.

B.

C.

D.

66. Which graph models the table below?

1 2 3 4

-3 -1 1 3

A.

B.

C.

D.

algebra 1 2013-2014 spring break packet - ada merritt k-8...

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