1 - Mrs Switalski's Class



1. (1.3, 1.8) Alice was four feet tall. She drank a potion that made her grow shorter at a rate of 2 inches per second. Write an equation to model Alice’s height (h), in inches, after t seconds.

A) [pic][pic]

B) [pic]

C) [pic]

D) [pic]

2. (1.5) Which expression is equivalent to the expression shown below?

[pic]

A) [pic]

B) [pic]

C) [pic]

D) [pic]

3. (1.7) Hansel was solving an equation. His solution is shown below.

Start: [pic]

Step 1: [pic]

Step 2: [pic]

Step 3:[pic]

Step 4: [pic]

Gretel said he made an error. In which step did Hansel make his first mistake when solving the equation?

A) Step 1.

B) Step 2.

C) Step 3.

D) Hansel did not make an error.

For questions 4 - 5, use the scenario below.

Javier purchased enough edging to go around a triangular and a rectangular garden. The perimeters of each garden are the same.

4. (1.8, 1.7, 1.4) How many feet of edging did Javier buy?

A) 5 feet

B) 56 feet

C) 28 feet

D) 14 feet

5. (1.8, 1.7, 1.4) If the edging costs $1.50 per foot, how much did Javier spend?

6. (2.1) Which inequality matches the graph below?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

For questions 7 - 8, use the scenario below.

George downloads his music from the iTunes store. His PayPal account has $11 in it and songs cost $1.29.

7. (2.1, 2.2, 2.4) Write an inequality to represent the number of songs George can download.

8. (2.1, 2.2, 2.4) Which graph matches the inequality used to represent the number of songs George can download?

A)

B)

C)

D)

For questions 9 - 11, use the scenario below.

Justin has nearly won in a game show. His final challenge is to buy 6 of the same item whose prices total between $14 and $15.

9. (2.3) Which compound inequality best describes the range of prices, per item, that would allow Justin to win?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

10. (2.3) Which graph of the compound inequality best describes the range of prices, per item, that would allow Justin to win?

A)

B)

C)

D)

11. (2.3) Justin buys 6 bottles of soda that cost two and a quarter dollars, will he win the game?

12. (2.5) What are the solutions to [pic]? Select all that apply.

A) –3

B) [pic]

C) 9

D) 3

13. (2.5) Of the absolute value equations below, select all options that have exactly two solutions.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

14. (2.6, 2.7) Footballs contain pressurized air. The air pressure should be 13 psi (pounds per square inch), but it is acceptable for the pressure to be different by no more than 0.5 psi. If you were to write and solve an absolute value inequality to find the range of acceptable pressures, which of the following would be correct.

A) [pic], [pic]

B) [pic], [pic]

C) [pic], [pic]or [pic]

D) [pic], [pic]or [pic]

15. (3.1) Which of the following relations are functions? Select all that apply.

A) [pic]

|–1 | | |2 |

|0 | | |7 |

|3 | | |9 |

|5 | | |11 |

B)

C) [pic]

D)

E) [pic]

F) [pic]

G)

H) [pic]

16. (3.4) Determine which of the following correctly represents an arithmetic sequence. Select all that apply.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

G) [pic]

H) [pic]

17. (3.6) The first, second, and nth terms of an arithmetic sequence are 5, 9, and 101, respectively. Find the value of n.

18. (3.7) Eddie is beginning a training program for the Las Vegas Marathon. He begins the first week running 3 miles each day. Each week, Eddie increases his daily distance by 1.5 miles. Which function represents the number of miles Eddie runs per day each week?

A) [pic]; [pic], [pic]

B) [pic]; [pic], [pic]

C) [pic]; [pic], [pic]

D) [pic]; [pic], [pic]

For questions 19 - 20, use the scenario below.

The following graph represents the salary for a car salesman (base salary + per car bonus).

19. (4.2, 4.3) What does the y-intercept represent in the given scenario?

20. (4.2, 4.3) If his per car bonus increased by $100, how would that change the graph?

A) The slope becomes more steep

B) The y-intercept decreases.

C) The y-intercept increases.

D) The slope becomes less steep.

21. (4.6, 4.7) An elevator repairman charges a $75 consultation fee plus $225 per hour for labor.

a) Write an equation in slope-intercept form for the total cost of a job that takes “h” hours.

b) Complete the following table showing the charges for jobs that take 1, 2, 3, 4, or 5 hours.

|Hours (h) |1 |2 |3 |4 |5 |

|Total Cost (C) | | | | | |

c) If the elevator repairman bills in hours, how much would it cost for a job that takes 3 hours and 45 minutes to complete.

d) Your building has a quarterly elevator maintenance budget of $300. Is the cost of the repair within your annual budget?

For questions 22 - 24, use the scenario below.

AT&T charges $65 per month for its cell phone service and charges $6 per GB of data.

[pic]

22. (4.8) Which plan is less expensive for each GB of data?

A) AT&T

B) Sprint

23. (4.8) Which plan would be more expensive if you used no data?

A) AT&T

B) Sprint

24. (4.8) If you had $70 to spend for your cell phone each month, which plan gives you the most data?

A) AT&T

B) Sprint

25. (5.4) A shipping company charges a flat rate up to 32 ounces, then charges $0.05 for each additional ounce. Which graph is the best representation of the cost to ship a package?

A)

B)

C)

D)

For questions 26-27, use the linear equation [pic].

26. (6.1) Identify two solutions to the equation.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

27. (6.1) Using the answer with the greatest x-coordinate value from question 26, identify a second equation that goes through that point.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

28. (6.3) Several points have been plotted on the graph below.

Which of the plotted points represents a solution to the system of inequalities below? Select all that apply

[pic]

A) A

B) B

C) C

D) D

E) E

F) F

29. (7.1) Jessica was simplifying the expression[pic].

Step 1: [pic]

Step 2: [pic]

Step 3: [pic]

Identify the error in her work.

A) In Step 1, [pic] should have been zero.

B) In Step 2, three over six would reduce to 2 instead of [pic].

C) In Step 3, when combining the y’s together, the expression is [pic].

D) There are no errors.

[pic]

30. (7.4) Which statements are true about the functions [pic] and [pic]? Select all that apply.

A) The y-intercept for g(x) is greater than f(x).

B) The y-intercept for f(x) is equal to g(x).

C) As the x-value increases, then f(x) and g(x) increase.

D) As the x-value decreases, then f(x) and g(x) increase.

E) As the x-value increases, then f(x) and g(x) decrease.

31. (7.4) If f(x) is an exponential growth function, which of the following statements are true? Select all that apply.

A) Average rate of change increases as x increases.

B) Average rate of change decreases as x increases.

C) The base is a number between 0 and 1.

D) The base is greater than 1.

E) As x increases, the graph approaches the horizontal asymptote.

F) As x decreases, the graph approaches the horizontal asymptote.

For questions 32-34, use the scenario below.

Owen bought a brand new mustang in 2010 for $30,000. By 2011, its value had dropped to $27,000.

32. (7.6) If the value of the car can be modeled by a linear function, what would it be in 2013?

33. (7.6) If the value of the car can be modeled by an exponential function, what would it be in 2013?

34. (7.6, 7.13) Which of the following statements are true? Select all that apply.

A) The value in 2015 for the linear model is greater than the exponential model.

B) The value in 2015 for the linear model is less than the exponential model.

C) The value in 2015 will be equal in both models.

D) There is not enough information to determine the relationship between the value in 2015 for the linear model and the exponential model.

Use the graph below to answer question 35.

35. (7.7) Based on the graph, which statements are true? Select all that apply.

A) [pic]is increasing as x-values increase.

B) [pic]is decreasing as x-values increase.

C) Range = [pic]

D) Range = [pic]

E) Range = [pic]

F) Domain = [pic]

G) Domain = [pic]

H) Domain = [pic]

I) [pic] on the interval [pic]

J) [pic] on the interval [pic]

K) [pic] on the interval [pic]

L) [pic] on the interval [pic]

36. (8.2, 8.3) Which of the following expressions will result in a rational number? Select all that apply.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

37. (8.3) The figure below consists of a rectangle and a right triangle.

a) What is the perimeter of the rectangle?

b) What is the perimeter of the figure?

For questions 38-39, use the scenario below.

[pic]

38. (8.3) Which of the following expressions and values are true for x? Decimal values are rounded to the nearest hundredth. Select all that apply.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

G) [pic]

H) [pic]

I) [pic]

39. (8.3) Which radical expression above shows a completely simplified expression for x? Explain.

40. (8.4) Fill in the blanks to make the equation true.

[pic]

41. (8.4) Select the value of x such that

[pic]

A) 6

B) 1

C) 4

D) –1

42. (9.1, 9.2, 9.3) Which expression is equivalent to the expression below?

[pic]

A) [pic]

B) [pic]

C) [pic]

D) [pic]

43. (9.5) The expression [pic] can be factored into the form [pic], where a, b, and c are constants, to reveal the zeros of the function defined by the expression. What are the zeros of the function defined by [pic]? Select all that apply.

A) 4

B) 0

C) –5

D) 5

E) 2

F) –2

G) –20

H) 8

44. (9.5) Several points are plotted on the graph.

Which of the plotted points on the graph represent the zeroes of the function[pic]? Select all that apply.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

F) [pic]

G) [pic]

For questions 45-46, use the scenario below.

Given: [pic]

Let [pic]

45. (9.8, 9.1) Which equation is equivalent to [pic] in terms of u ?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

46. (9.8, 9.1) Using the answer from question 45, what are the solutions to the given equation? Select all that apply.

A) –4

B) –3

C) –2

D) 0

E) 2

F) 3

G) 4

47. (10.2) In the xy-coordinate system, the graph of the equation [pic] has zeros at [pic] and [pic], where[pic]. The graph has a minimum at (c, –45) . What are the values of a, b, and c?

A) [pic], [pic], [pic]

B) [pic], [pic], [pic]

C) [pic], [pic], [pic]

D) [pic], [pic], [pic]

For questions 48 - 49, use the scenario below.

A rock was tossed from the top of a cliff by the ocean. The height, in feet, of the rock above sea level t seconds after being tossed can be determined by the expression [pic].

48. (10.5) What is the meaning of 200 in the expression?

A) The rock takes 200 seconds to reach sea level.

B) The rock was thrown from a height of 200 feet.

C) The rock’s initial velocity was 200 ft/sec.

D) The rock takes 200 seconds to reach the ocean floor.

49. (10.5) Match the equation with the correct graph of the scenario.

A)

B)

C)

D)

50. (11.2) The dot plots below compare the number of minutes 25 bus rides made by two bus lines arrived before or after their scheduled arrival times.

• Negative numbers represent the minutes the bus arrived before its scheduled time.

• Positive numbers represent the minutes the bus arrived after its scheduled time.

• Zero indicates the bus arrived at its scheduled time.

Based on the data, from which bus line would you choose to buy your ticket? Use the ideas of center and spread to justify your choice.

51. (11.4) Lisa randomly surveyed some students and staff members at her school to see what they thought of adding a salad bar to the lunch menu. The results of her survey are shown in the table below.

|Gender |In Favor |Opposed |Undecided |

|Female Students |68 |20 |14 |

|Male Students |34 |60 |15 |

|Female Staff |30 |12 |7 |

|Male Staff |18 |28 |4 |

a) The school newspaper is going to randomly select a person from this survey to interview. What is the probability the person selected is a student opposed to the salad bar?

b) The school newspaper would like to interview a person in favor of the salad bar. If a person in favor is randomly selected, what is the probability the person is a female staff member?

For questions 52 - 54, use the scenario below.

Thomas is researching the percentage of students who have a cell phone. He recorded the percentage of students over a period of 10 years and created the following graph.

52. (11.5, 11.6, 11.7) Thomas found that in the year 2014, 82% of student had a cell phone. He represented this with the point (2014, 82). What is the residual value of this point from the line of best fit?

53. (11.5, 11.6, 11.7) What does the y-intercept of the line of best fit represent on Thomas’ graph? Select all items that accurately represent the y-intercept.

A) The y-intercept represents the number of students that have a cell phone.

B) The y-intercept is 2003.

C) The y-intercept is the percentage of students with a cell phone in 2002.

D) The y-intercept is 58%

E) The y-intercept is the number of students with a cell phone in 2002.

54. (11.5, 11.6, 11.7) What does the slope of the line of best fit represent in Thomas’ graph?

A) The percentage of students with a cell phone in 2003.

B) The rate at which the percentage of students with a cell phone increases.

C) The number of years that students had a cell phone.

D) An increase in the percentage of students with a cell phone of 1% per year.

55. (12.1) The figure shows the graph of [pic] on a coordinate plane. It has a vertex (–3, –4) and zeros at –5 and –1.

The function [pic].

Which are true? Select all that apply.

A) [pic]

B) [pic]

C) [pic]

D) [pic]

E) [pic]

For questions 56 - 57, use the function[pic].

56. (12.1) If x = 2, for what values of b will make this function a quadratic?

A) [pic]

B) [pic]

C) [pic]

1. (12.1) For what values of b will this function show exponential growth?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

For questions 58 - 60, use the graphs below.

I . II.

III. IV.

57. (12.1) Which graph shows a linear function?

A) I

B) II

C) III

D) None

58. (12.1) Which graph identifies exponential growth?

A) I

B) II

C) III

D) IV

59. (12.1) Which graph identifies exponential decay?

A) I

B) II

C) III

D) None

60. (12.2) Which function has the higher rate of change over the interval [0, 3]?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

61. (12.3) What is the function of the following graph?

A) [pic]

B) [pic]

C) [pic]

D) [pic]

For questions 63 - 64, use the tables below.

|x |f(x) |g(x) |h(x) |j(x) |

|–1 |[pic] |7 |4 |[pic] |

|0 |3 |4 |5 |–3 |

|1 |[pic] |7 |6 |–1 |

62. (12.3) Which table represents an exponential function?

A) f(x)

B) g(x)

C) h(x)

D) j(x)

63. (12.3) Does the exponential function show growth or decay?

A) Growth

B) Decay

[pic]

-----------------------

[pic]

[pic]

[pic]

[pic]

[pic]

Salary (in thousands of dollars)

Number of Cars Sold

Sprint

Cost in Dollars

GB of Data

A

B

C

D

E

F

G

[pic]

[pic]

[pic]

A

B

C

D

E

F

G

Bus Line A

[pic]

Bus Line B

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