1211

2.Fill in the blank with “sometimes”, “always”, or “never”.

The sum of two rational numbers is ____________________________ rational, and the sum of

two irrational numbers is _____________________________ irrational.

2

3.Fill in the blank with “sometimes”, “always”, or “never”.

The product of two rational numbers is ___________________________ rational, and the

product of two irrational numbers is _____________________ irrational.

3

4.Fill in the blank with “sometimes”, “always”, or “never”.

The sum of a rational and an irrational number is ______________________ rational, and

the product of a non-zero rational number and an irrational number is ____________________
rational.

4

5.If a is a prime number and b is an odd integer, then the product of a and b MUST be

a.A prime number

b.An odd number

c.A multiple of 3

d.A positive integer

e.None of these

5

6.Ifandare positive integers, then which of these statements is (are) true about

?

𝑎𝑏

𝑎

−𝑏

a.

is always an integer𝑎

−𝑏

b.

is sometimes an integer and sometimes a non-integer𝑎

−𝑏

c.

is never an integer𝑎

−𝑏

d.

is always positive𝑎

−𝑏

e.

is never greater than 1.𝑎

−𝑏

6

7.Graph each number on the number line:

.

2 3, − 3. 2, − 21

2, 11

3, π

7

8.The number of blocks included in different figures is represented in the table below. What is the
total number of blocks included in the first 22 figures.

Figure (n)

Number of Blocks

1

1

2

3

3

9

4

27

5

81

a.12,382,109,312

b.158,986,404

c.8,978,265,308

d.15,690,529,804

e.1,569,052,980

8

9.Match each word to its definition

_____ Sum

a. the number resulting from the multiplication of two numbers

_____ Product

b. the number resulting from the division of two numbers

_____ Square

c. the number resulting from a quantity multiplied by itself

_____ Quotient

d. the number resulting from the addition of two numbers

9

10. A science teacher orders two boxes of test tubes, but a quarter of the test tubes from one box

are broken. In a class of 28 students, there are not enough unbroken test tubes for each student
to conduct their own experiment, so each student chooses one partner with whom to work.
After the teacher distributes one test tube to each pair of students, seven test tubes remain
unused. How many test tubes come in a box?

__________________________________

10

11. A seller purchases wholesale merchandise and sells it in his store with a mark-up of 25%. Store

inventory that does not readily sell is marked down by 20%. What percentage profit does the
seller make on clearance sales?

_______________________________________

11

12. Two Hundred and ten students who graduate from a senior class will attend college in the fall.

The remaining 40% of graduates plan to attend community college, enter the workforce, or join
the military at a ratio of 1:2:1. How many graduates from this class will enlist in the military?

_____________________________________

12

13. On a map, 1.5 cm represents 60 miles. If two cities are 3.75 cm apart on the map. What is the

distance between the cities in miles?

_____________________________________

13

Slope and Linear Equations

14. Which of the following equations represents the relationship between x and y, shown in the

table below?

a.𝑦 = 9𝑥 + 6

b.𝑦 = 9𝑥

c.𝑦 = 3𝑥 + 18

d.𝑦 = 12𝑥 + 6

e.𝑦 = 10𝑥 + 6

14

15. Classify each as an example of linear or exponential growth.

The change in population of bacteria grown in a test tube containing nutrient broth.

____________________________

The change in the balance of an account when $50 is added weekly.

____________________________

The change in earnings if salary increases by 3% every year.

____________________________

15

16. Part (i)

If there exists a linear relationship between the input and output values, which, if any, of these
input/output pairs can be included in the data set? Circle all that apply.

Part (ii)

Using the input/output pairs you chose in #16 above, write the equation between the input
value x and the output value y in slope intercept form.

__________________________________________________

16

17. Kelly just completed her morning run. In the first 15 minutes she covered 1.25 miles. In the next

20 minutes she covered 1.75 miles and in the last 10 minutes she covered 1 mile. What is the
average running pace in miles per hour?

_________________________________________________

17

18. The volume of water in a bathtub is represented below.

The average rate of change over the 150 seconds is closest to which of these?

a.3 gallons/second

b.

gallons/second1
3

c.27 gallons/second

d.The rate of change in gallons/second on the interval [10, 20]

e.The rate of change in gallons/second on the interval [70, 130]

18

19. The path of a ball thrown into the air is modeled by the first quadrant graph of the equation

, where h is the height of the ball in feet and t is the time in seconds

ℎ =− 16𝑡

2 + 64𝑡 + 5

after the ball is thrown. Complete the following statement with “greater than”, “less than”, or
“equal to”:

The average rate of change on the interval [1,3] is _________________ the average rate of

change on the interval [0,4].

19

20. The total business expenses incurred by a new business over the course of x months are

represented by the graph shown below:

Which of the following equations represents the total business expenses for x months?

a.𝑦 = 700𝑥 + 1000

b.𝑦 = 750𝑥 + 1000

c.𝑦 = 1000𝑥 + 700

d.𝑦 = 800𝑥 + 1000

e.𝑦 = 1000𝑥 + 1000

20

Systems of Equations

21. Given the system of equations,

, which of the following

3𝑥 + 6𝑦 = 36 2𝑥 + 9𝑦 = 34

equations bay be added to produce the correct y-value solution?

a.

and

6𝑥 + 15𝑦 = 72

− 6𝑥 − 36𝑦 =− 102

b.

and

6𝑥 + 12𝑦 = 72

− 6𝑥 + 27𝑦 =− 102

c.

and

6𝑥 + 12𝑦 = 108

− 6𝑥 − 27𝑦 =− 102

d.

and

6𝑥 + 15𝑦 = 108

− 6𝑥 − 36𝑦 =− 72

e.

and

− 6𝑥 − 15𝑦 = 108

6𝑥 + 36𝑦 = 72

21

Use the information below to answer questions 22 and 23

Jose is participating in a school fundraiser by selling packages of cookie dough and soft pretzels. His
order form is shown below.

22. Determine the cost per package of cookie dough.

______________________________________

23. James ordered _______________ packages of pretzels and the total cost of Mei Ling’s order is

$_____________________.

22

24. The solution to which of the following systems of inequalities is graphed below?

a.𝑦 <− 3𝑥 + 4 4𝑥 − 2𝑦≤6

b.𝑦≥2𝑥 − 3 𝑦 < 3𝑥 + 4

c.𝑥 <− 3𝑦 + 4 𝑦 + 3≤2𝑥

d.𝑦 > 4 − 3𝑥 𝑦≤2𝑥 − 3

e.None of the above

23

25. The system of equations

, has a solution

. Which of the following

𝑦 = 𝑥

2 + 4𝑥 𝑦 = 𝑥
(0, 0)

represents another solution of the system?

a.(− 3, − 3)

b.(3, 3)

c.(2, 2)

d.(− 2, − 2)

e.(3, − 2)

24

For questions 26 and 27, use the information below:

A photo center’s price for one-hour, in-store printing is $0.12 for every 4 x 6 photo. When prints are
ordered online for home delivery, the same photo center charges $0.08 for every 4 x 6 photo and a
shipping fee of $3.00.

26. Using n for the number of prints and c for the total order cost, write and graph a system of linear

equations to illustrate the cost of 4 x 6 prints picked up in the store or shipped to the home.

System of equations:
{ 𝑠𝑡𝑜𝑟𝑒: _________________________________ ℎ𝑜𝑚𝑒: ________________________________

27. Which of the following statements are true?

a.The intersection of the two lines represents the point at which the order cost is the same
for the corresponding number of pictures ordered.

b.The price of pictures picked up in-store increases by $3.00 for every 2 pictures.

c.The order cost of fifty 4 x 6 prints is $1.00 less when picked up in store than when
shipped to home.

d.The slope of the line representing the ship-to-home order option is 3.

e.The order total for sixty prints shopped to home is $4.80.

25

28. Determine whether each system of equations has no solution, one solution, or infinitely many

solutions. Put check marks in the appropriate boxes to complete the table.

26

29. If

and

, the graphs of

and

intersect at the point

𝑓 𝑥( ) = 𝑥 + 1(

)

2𝑔 𝑥( ) = 𝑥

2 + 𝑥 + 4
𝑓 𝑥( )

𝑔(𝑥)

( ________ , ________ )

27

30. What is the solution to the system of equations graphed below?

a.(6, 3)

b.(3, − 6)

c.(− 6, 3)

d.(− 3, 6)

e.(-6,-3)

28

Simplifying Expressions

31. Choose all the expressions that are equivalent to 2 𝑥 + 3(

) − 4𝑥 + 𝑥 − 3

(

) 𝑥 + 1(

).

a.𝑥 − 3(

) 𝑥 − 1(

)

b.𝑥 + 3(

) 𝑥 + 4(

) + 2

c.𝑥 𝑥 − 4(

) + 3

d.3𝑥

2 + 5𝑥 − 4(

)− (2𝑥

2 + 9𝑥 − 7)

e.3 𝑥 − 1(

) + 𝑥

2 − 4(𝑥 + 2)

29

32. Which of the following expressions is equivalent to the expression,

?𝑥−4

𝑥

2+4𝑥−32

a.𝑥−4
𝑥+8

b.

𝑥−4

(𝑥+4)(𝑥+8)

c.1

𝑥+8

d.𝑥 + 8

e.

𝑥−4

(𝑥+4)(𝑥−8)

30

33. Simplify the expression:

5 2(2 3+4 3)

3 3

_________________________

31

34. Which of the following represents the sum of

and

?

4
𝑥

2𝑥
𝑥+6

a.6

𝑥+6()

b.2(𝑥

2+2𝑥+12)
𝑥(𝑥+6)

c.𝑥

2+4𝑥+12

𝑥+6

d.2𝑥,+3

𝑥

e.8𝑥

𝑥

2+6𝑥

32

Solving Equations and Inequalities

35. Which of these expresses

in terms of x?

𝑦 = 4𝑥 − 2

a.𝑥 = 4𝑦 − 2

b.𝑥 = 𝑦 +1

2

c.𝑥 =− 4𝑦 + 2

d.𝑥 =1

4𝑦 + 2

e.𝑥 =1

4𝑦 + 1

2

33

36. The formula used to convert a temperature in degrees Celsius to degrees Fahrenheit is

.

𝐹 =9

5𝐶 + 32

i)

Write a formula which can be used to convert a temperature in degrees Fahrenheit to
degrees Celsius by solving the given equation for C.

______________________________________

ii)

At what temperature are the readings on a Celsius and Fahrenheit thermometer the same?

_________

__________

° 𝐹

° 𝐶

34

37. For a given gas,

, where

is the pressure exerted on the gas,

is the volume of the gas,

𝑃𝑉
𝑇= 𝑘

𝑃

𝑉

is the temperature of the gas in Kelvin, and

is a constant.

𝑇

𝑘

Fill in each blank with “increase”, “decrease”, or “remains constant”.

i)

If the pressure of a gas remains constant, and the temperature of the gas rises, the
volume of the gas must ____________ .

ii)

If the temperature of a gas remains constant and the volume of the gas decreases, the
pressure of the gas must ________________.

35

38. Graph on the number line the solution to the inequality

.

2 𝑥 + 3|

| − 9≥ − 1

36

39. Solve for

.

𝑥: 2 𝑥 + 3(

) − 8 = 4𝑥 + 2

_______________________________________

37

40. Complete the two-column proof to show that if

, then

.

2
3𝑥 + 6 = 2

𝑥 =− 6

Statement

Reason

2
3𝑥 + 6 = 2

Given

32
3𝑥 + 6
(

)= 3(2)

Distributive Property

Subtraction Property of Equality

38

41. A jar contains $8.05 worth of coins. In the jar, there are forty pennies, thirteen dimes, four

half-dollars, and the number of nickels in the jar exceeds twice the number of quarters by three.
How many nickels are in the jar?

_______________________________________________

39

42. Which of the following inequalities has solutions, represented by the shaded area in the graph

shown below?

a.4𝑥 − 8𝑦 > 32

b.2𝑥 − 4𝑦 < 24

c.4𝑥 − 8𝑦 < 32

d.2𝑥 − 4𝑦 > 24

e.2𝑥 − 8𝑦 > 24

40

Quadratics and Polynomials

43. Fill in the blanks to complete the following Sentence.

The graph of the equation

is a _________________

𝑦 = 2 𝑥 + 3(

) − 4𝑥 + (𝑥 − 3)(𝑥 + 1)

with

zeros at ______________ and ________________ a minimum at

.

𝑦 = ________________

41

44. Which of the following represents the correct expansion of the expression 𝑎 + 𝑏(

)

4?

a.𝑎

4 + 3𝑎

3𝑏 + 3𝑎𝑏

3 + 𝑏

4

b.𝑎

4 + 6𝑎

3𝑏 + 4𝑎

2𝑏

2 + 6𝑎𝑏

3 + 𝑏

4

c.𝑎

4 + 2𝑎

3𝑏 + 4𝑎

2𝑏

2 + 2𝑎𝑏

3 + 𝑏

4

d.𝑎

4 + 4𝑎𝑏

3 + 6𝑎

2𝑏

2 + 4𝑎𝑏

3 + 𝑏

4

e.2𝑎

4 + 6𝑎

3𝑏 + 4𝑎

2𝑏

2 + 6𝑎𝑏

3 + 2𝑏

4

42

45. The graph of

has x – intercepts at ___________________ and a

𝑦 = (𝑥 + 3)(𝑥

2 − 𝑥 − 2)

y -intercept at ____________________________.

43

46. Sketch a graph of

in the space provided below.

𝑦 =−

𝑥 + 2

44

47. If

, and the graph below represents transformation

, then

𝑓 𝑥( ) = 𝑥

3

𝑎∙𝑓 𝑥 + 𝑏(

) + 𝑐

,

,

.

𝑎 = _________ 𝑏 = ______________ 𝑐 = _________________

45

48. The path of a ball thrown into the air is modeled by the first quadrant graph of the equation

, where

is the height of the ball in the feet and

is time in seconds

ℎ =− 16𝑡

2 + 47𝑡 + 3
ℎ

𝑡

after the ball is thrown.

Round the following answers to the nearest tenth
i)

The maximum height of the ball occurs at

feet.

ℎ = _______________

ii)

The ball hits the ground at

seconds.

𝑡 = _______________

46

49. Which of the following represents the solution of the equation,

.

6𝑥

2 − 8𝑥 = − 8

a.2(1+𝑖 2)

3

b.2±𝑖 2

c.2(2±𝑖 2)

3

d.1
4𝑦 + 2

e.𝑥 =1

4𝑦 + 1

2

47

50. Choose the phrase or phrases which truthfully complete this statement:

If

and

, then the graphs of

and

𝑓 𝑥( ) =− 𝑥 − 2

(

)

2 + 1
𝑔 𝑥( ) = 𝑥

2 − 4𝑥 + 5
𝑓(𝑥)

𝑔(𝑥)

a.Pass through the point

.(0, 5)

b.Are parabolas

c.Have a common line of symmetry at

.𝑥 = 2

d.Have a minimum at

.(2, 1)

e.Share a common vertex.

48

51. What are the zeros of the quadratic equation,

?

16𝑥

2 + 26𝑥 = 12

a.𝑥 =1

8 𝑎𝑛𝑑 𝑥 =− 2.

b.𝑥 =3

8 𝑎𝑛𝑑 𝑥 =− 3

c.𝑥 =1

8 𝑎𝑛𝑑 𝑥 =− 3

d.𝑥 =3

8 𝑎𝑛𝑑 𝑥 =− 2

e.𝑥 =1

4 𝑎𝑛𝑑 𝑥 =− 2

49

52. Given the expression,

, which of the following expressions is equivalent?

(2

3 + 4

3)

a.(2 + 4)(2

2 − 2
( ) 4( ) + 4

2)

b.(2 + 4)(2 − 4)

c.(2 − 4)(2

2 + 2
( ) 4( ) + 4

2)

d.2 − 4(

) 2

2 − 4

2

(

)

e.(2 + 4)(2

2 + 4

2)

50

53. The graph of the function

is shown below:𝑓(𝑥)

Which of the following statements is (are) true? Select all that apply.

a.

has 3 solutions.

𝑓 𝑥( ) = 0

b.𝑓 − 𝑥() =− 𝑓(𝑥)

c.The graph of

is symmetric about the origin.𝑓(𝑥)

d.𝑓 4( ) = 2

e.

is a cube root function.𝑓(𝑥)

51

Functions and their graphs

54. Aaron goes on a run every morning down the straight country road that he lives on. The graph

below shows Aaron’s distance from home at times throughout his morning run. Which of the

following statements is (are) true? Select all that apply.

a.Aaron ran a total distance of four miles.

b.Aaron’s average running speed was 6 mph.

c.Aaron’s running speed from point A to point B was the same as his running speed from
point D to E.

d.Aaron rested for ten minutes after running the first 2 miles.

e.Aaron returned home from his run 1.5 hours after starting.

52

55.

Complete the piece-wise function which describes the volume as a function of time , as shown

𝑡

in the graph above.

𝑓 𝑡( ) = {_________________ 0≤𝑡≤60 ________________ ______________ 2

5𝑡 − 5. 5 135≤𝑡≤150

53

56. If there exists a functional relation between the input and the output values, which, if any, of the

input/output pairs must be excluded from the data set? Choose all that apply.

Input

Output

a.

0

0

b.

4

6

c.

-2

0

d.

4

9

e.

-5

-4.5

54

57. Determine whether the given relation in always a function, sometimes a function, or never a

function. Place check marks in the appropriate boxes.

55

58. Given the functions

and

, compare the quantities using the

𝑓 𝑥( ) = 2𝑥

2 + 4
𝑔 𝑥( ) = 8𝑥 − 1

symbols,

.

<, >, 𝑜𝑟 =

𝑓 𝑔 3( )()_______________𝑔(𝑓 3

( ))

56

59. Given the functions

and

, what is the solution of the equation,

𝑓 𝑥( ) = 3𝑥 + 6

𝑔 𝑥( ) = 2𝑥 − 8

?

𝑓 𝑥( ) = 𝑔(𝑥)

a.𝑥 = − 12

b.𝑥 = − 8

c.𝑥 = − 14

d.𝑥 = − 10

e.𝑥 =− 16

57

60. Which of the following systems of inequalities has a solution set, represented by the graph

shown below?

a.2𝑥 − 4𝑦≥8 3𝑥 − 9𝑦≤12

b.2𝑥 − 4𝑦≤8 3𝑥 − 9𝑦≥12

c.6𝑥 − 2𝑦≥12 − 9𝑥 + 4𝑦≤15

d.6𝑥 − 2𝑦≤12 − 9𝑥 + 4𝑦≥15

e.6𝑥 − 2𝑦≤12 − 9𝑥 + 4𝑦≥15

58

61. If

is transformed by a vertical shift of 3 units upward and a horizontal shift of 2 units𝑓(𝑥)

leftward, which one of these describes the transformed function?

a.𝑓 𝑥 + 3(

) − 2

b.𝑓 𝑥 − 3(

) + 2

c.𝑓 𝑥 − 2(

) + 3

d.𝑓 𝑥 + 2(

) − 3

e.𝑓 𝑥 + 2(

) + 3

59

Use the information below to answer questions 62 and 63

62. A 200 mg sample of252Fm and an unknown quantity of253Fm decay for 6 days. If on the sixth

day the mass of the two isotopes is the same, how many milligrams of253FM were in the original
sample? Include the answer in the chart below.

63. The graph below shows the decay of a sample of252FM and a sample of253Fm over a period of 8

days. Which of the following statements is (are) true? Select all that apply.

a.Both samples have a starting mass of 20 mg.

b.After three days, there is four times as much252Fm as253Fm.

c.After eight days, no252Fm remains

d.Over time, the difference in the amounts of252Fm and253Fm increases and then
decreases.

e.The radioactive decay of252Fm and253Fm is an example off linear regression.

60

64. Complete the table by stating the type of function (linear, exponential, absolute value, piece

wise, square root, cube root, quadratic) and the domain of each function.

61

65. Write a piece-wise function to describe the graph below.

𝑓 𝑥( ) = { _____________________ ______________________ _____________________ ______________________

62

Use the information below to answer questions 66 through 99.

Irina intends to invest $5,000 in an interest-earning account. Bank A makes an initial one-time deposit of $200 into
newly opened accounts and offers an interest accrual rate of 2.25% compounded quarterly. Bank B offers an
account with an interest accrual rate of 2.5% also compounded quarterly but does not offer a bonus deposit. Bank
C offers an account with an interest accrual rate of 2.5%, compounded monthly, with no initial deposit. The formula

for calculating the account balance A in a compounding interest account is

, where P is the

𝐴 = 𝑃 1 +

𝑟

100𝑛
(

)

𝑛𝑡

initial value of the account, r is the percent interest rate, n is the number of times per year interest is compounded,
and t is the time in years.

66. The value of each account over time illustrates _____________________________ growth.

67. Irina creates the graph below to compare the account value trends over 30 years through Bank A and Bank B. Which

of the following statements are true?

a.If Irina chooses to leave her money in the account for fewer than ten years, she should choose bank A.

b.If Irina chooses to leave her money in either account for more than 30 years, she will not earn additional
interest.

c.For every year Irina leaves her money in Bank A, the account value will increase by $100.

d.It will take approximately one year longer for Irina’s initial investment to double in Bank A than Bank B.

e.After 8 years, the difference in the potential account values ins approximately $100 less than the initial
difference in the account values.

68. Complete the statement with “never”, “sometimes”, or “always”.

For every month after the first, the value of the account through Bank C will

___________ be greater than the account value through Bank A and _________________

be greater than the account value through Bank B.

69. At the end of 30 years, the account value if invested through Bank B is $_______________ (more than/less than) the

account value if invested through Bank C. Compare the account values rounded to the nearest cent.

63

Use the table below, which shows the results of performing an operation * on values a, b, and c, to
answer questions 70 and 71.

70. If operation * is communitive, which letter goes into the empty box?

a.a

b.b

c.c

d.d

e.e

71. For operation *, ___________________ is the identity element, and the inverse of a is

________________.

64

72. Based on the students’ state predictions and explanations, complete the table to show how

many double-stranded DNA molecules each student’s model predicts will be present after each
cycle.

65

73. Each student writes an expression which can be used to predict the number off strands of DNA

after the nth cycle. Match each expression with the student’s model of growth.

Student

Expression

5𝑛

2 + 5𝑛 + 10

10 + 10𝑛

10 + 𝑛

10(2

𝑛)

10

𝑛+1

66

74. Which student provides the best prediction and explanation?

a.Student A

b.Student B

c.Student C

d.Student D

e.Student E

67

Geometry

75. If one side of a rectangle is described by the equation

, which of these could

𝑦 = 2𝑥 + 3

describe another side of the rectangle? Choose all that apply.

a.𝑦 = 2𝑥 − 3

b.2𝑥 + 𝑦 = 6

c.𝑦 =1

2𝑥 + 3

d.2𝑥 − 𝑦 = 12

e.𝑥 + 2𝑦 = 6

68

Use the graph below for questions 76 and 77

76. Radio station 106.1 broadcasts out of Radiotown which is marked with an R on the graph below.

Their signal reaches 85 miles in every direction. There are four other towns marked on the map.
Kingstown is marked with a K, Carville is marked with a C, Dollartown is marked with a D, and
Honeytown is marked with a H. Each coordinate unit represents 10 miles. Which of the following
cities can signal reach? Select all that apply.

A. Dollartown
B.Kingstown

C.Carville

D. Honeytown
E.None of these

77. The signal reaches 85 miles in all directions. What is the total area in square miles that the signal

covers?

____________________________________________

69

78. Given the triangle below what is the length of side C?

____________________________________________

70

79. If all smoots are weebles and all smoots are tribits, which statement must also be true?

a.All weebles are tribits.

b.All weebles are smoots.

c.If it is not a tribit, it is not a weeble.

d.If it is not a weeble, it is not a smoot.

e.If it is not a smoot, it is not a tribet.

71

80. Which of these statements is (are) true? Select all that apply.

a.All quadrilaterals have four sides.

b.Some parallelograms are rhombi.

c.All squares are rectangles.

d.All rectangles are parallelograms.

e.No right triangles are equilateral triangles.

72

81. The area of a rectangular bedroom is

, and the perimeter of the room is

. On a

120 𝑓𝑡

2

44 𝑓𝑡

house plan drawn to

scale, what is the length in inches of the longer side of the rectangle

1
24

representing the room?

_________________________________________

73

82. The ratio of the volume of a small to the volume of a large cube is

, what is the ratio of the1: 8

length of one side of the small cube to the length of one side of the large cube?

a.1: 2

b.1: 4

c.1: 8

d.1: 64

e.1: 512

74

83. Two sides of a right triangle measure 6 cm and 7cm. Which of these can represent the length of

the third side? Select all that apply.

a.13 𝑐𝑚

b.5 𝑐𝑚

c.8 𝑐𝑚

d.85 𝑐𝑚

e.Any of these values are possible values for the third side

75

84. About half of the students in a local high school have cell phones, about three-quarters of which

are smart phones. If there are 1,217 students in the school, approximately how many students
do not have smart phones?

a.150

b.300

c.450

d.750

e.950

76

85. Given the rectangular prism below, at is the length of side C? The volume is

.

540 𝑓𝑡

3

___________________________________________

77

Statistics and Probability

86. To determine whether foot size is correlated with height, a student collected data from 25 male

fellow male tenth graders. On the given chart, create a scatter plot of the data shown in the
table below.

Which of these most closely approximates the best fit line for the given data?

a.𝑦 =1

4𝑥 − 7

b.𝑦 =1

2𝑥 − 24

c.𝑥 − 52

d.𝑦 =−1

2𝑥 + 25

e.𝑦 =3

4𝑥 − 38

78

87. A teacher asks each of his students to choose his/her favorite color among the colors of the

rainbow. Which of these is the best way to illustrate the results?

a.A line graph

b.A bar graph

c.A box-and-whisker plot

d.A scatter plot

e.A stem-and-leaf diagram

79

88. A meteorologist wishes to show the forecasted change in daily high temperatures throughout

the week. Which of these should she choose?

a.A pie chart

b.A frequency histogram

c.A line graph

d.A Venn diagram

e.A box-and-whisker plot

80

Use the following data to answer questions 89 – 91.

A company employs 66 male and 50 female non-management employees, all of whom earn less than $100,000 per
year. Annual salaries (rounded to the nearest dollar) for male and female emlployees are shown below.

89. Which of the following statements is (are) true? Choose all that apply.

a.The number of male and female employees who earn salaries in the $40,000 - $49,000 salary
range is the same.

b.The percentage of male employees earning $50,000 or more is greater than the percentage of
females earning $50,000 or more.

c.The percentage of female employees earning $70,000 - $79,000 is greater than the percentage
of male employees earning $70,000 - $79,000.

d.The ratio of the number of male to female employees earning in the $30,000 - $39,000 range is
2:1.

e.The number of female employees who earn salaries under $40,000 is the same as the number of
male employees who earn salaries in the $30,000 - $39,000.

90. The type of graph that displays the salaries of male employees is called a

_________________________________.

91. The median annual salary for males lies within which interval?

a.$30,000 - $39,999

b.$40,000 - $49,999

c.$50,000 - $59,999

d.$60,000 - $69,999

e.$70,000 - $79,999

81

92. The box-and-whiskers plots below display student test scores by class period. Letter grades are

assigned on a ten point scale: A – 90 to 100, B – 80 to 90, C – 70 to 80, D – 60 to 70, F – Below
60.

Which of the following statements is (are) true? Choose all that apply.

a.The mean better reflects students’ performance in class 1 than the medium.

b.The mean test score for Class 1 and Class 2 is the same.

c.The median test score for Class 1 and 2 is the same.

d.The range of test scores for Class 3 is greater than the range of test scores for Class 1.

e.25% of the students in Class 4 received As or Bs.

82

93. What are the mean and median of the following set of numbers? Round to the nearest tenth.

18, 2π, 3. 75,14

3, 2

2

________________________________________

83

For questions 94 -96, consider the set of data below.

38

49

22

36

45

27

38

47

20

21

19

38

17

28

15

18

42

17

25

33

31

94. Organize the data using a stem-and-leaf plot.

95. State the mean, median, and mode(s). If necessary, round to the nearest tenth.

Mean: _________________________________

Median: ________________________________

Mode(s): _______________________________

96. If a number is chosen at random from the set of data. As a fraction in lowest terms, what is the

probability that the number is at least 22?

_________________________________

84

97. The midpoints of all the sides of a square are connected to produce a second square within the

first. What is the probability that a point chosen at random within the larger square is also within
the smaller square? Express the answer as a percent.

_______________________________

85

98. About half of the students in a local high school have cell phones, about three-quarters of which

are smart phones. If there are 1,217 students in the school, approximately how many students
do NOT have smart phones.

a.150

b.300

c.450

d.750

e.950

86

Use the information below tow answer questions 99 -100

160 Algebra 1 students took Mr. DeMarco’s final exam. The test scores are normally distributed with a
mean of 72 and a standard deviation (a measure of how much data deviates from the average) of 8. In a
normally distributed set of data, the graph of which forms a bell-shaped curve, about 68% of the data
lies within one standard deviation of the mean, and about 95% of the data lies within two standard
deviations of the mean.

99. Approximately what percentage of students received scores between 56 and 80?

_____________________________

100.

Which of these statements is (are) true if Mr. DeMarco scales test scores by four points?

Choose all that apply.

a.The mean increases to 76.

b.The bell curve shifts four spaces to the left.

c.The standard deviation remains the same.

d.Eight students receive failing scores (scores below 60).

e.The shape of the curve changes.

87

101.

There are 1220 students at a high school. All of the students participate in a survey about

their favorite color and the results are shown below. Mrs. Gale’s class has 25 students in it. Based
on the survey how many of them can be expected to have the favorite color blue?

_____________________________________

88

102.

An employer has 42 employees. He decided to chart the length of employment of the

employees. The categories are: 0 – 6 months, 6 months – 1 year, 1 – 3 years, 3 – 5 years, 5 – 10
years, 10+ years. What percentage of the employees have worked for 6 months – 1 year?

a.12%

b.22.22%

c.16.67%

d.7%

e.15%

89

103.

Which of the following lines is the line of best fit for the points plotted below?

a.𝑦 = 2𝑥 − 3

b.𝑦 = 𝑥 − 1

c.𝑦 = 𝑥 + 2

d.𝑦 = 2𝑥

e.𝑦 =1

2𝑥 − 2

90