Expressions and Equations
Functions
Geometry
Statistics and Probability
The Number System
100

What is the value of the expression

 26/22?


16

100

Does the table represent a function?  Why or Why not?


The table does represent a function.  There are no repeating values for x.  Each x has only one value of y.

100

In the diagram below, Image 2 is a triangle that is the result of reflecting scalene triangle JKM first of l1 and then over l2. The angles of image 2 are 1,2, and 3.  Select all of the following that are true?


A.  Angle J maps to angle 1.

B.  Angle M maps to angle 3.

C.  Angle J maps to angle 3.

D.  Angle M maps to angle 1.

E.  Angle K maps to angle 1.

F.  Angle K maps to angle 3.

D.  Angle M maps to angle 1.

F.  Angle K maps to angle 3.

100

Tony collected data on years of employment and the annual salaries of the salespeople at Company Z.  He made a scatterplot and drew a trend line that approximated the line of best fit for the data, as shown below.  Based on the trend line drawn for the data, what is the salary a salesperson with 3 years of employment at Company Z can expect to earn?


$40,000

100

Which of the following numbers is not a rational number?

A. -3    B. 2.7   C. √4  D. √5


D. √5

200

What is the value of the expression √25−9∙23?

-67

200

The total cost in dollars, y, of a membership at each of two health clubs is represented below in terms of x, the number of months of the membership.  Which representation has the greatest rate of change?

Health Club A:  y = 12x + 60

Health Club B: 

Health Club B - rate of change is $15 versus $12 for Health Club A

200

A sequence of transformations is applied to a polygon.  Select all statements which indicate a sequence of transformations where the resulting polygon has an area greater than the original polygon.

A.  Translate seven units left, rotate 90o clockwise about the origin.

B.  Reflect over the x-axis, dilate about the origin by a scale factor of 1/2, translate up 5 units.

C.  Rotate 90o counterclockwise around the origin, dilate about the origin by a scale factor of 3/2.

D.  Dilate about the origin by a scale factor of 2/3, rotate 180o clockwise around the origin, translate down 2 units.

E.  Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3.

C.  Rotate 90o counterclockwise around the origin, dilate about the origin by a scale factor of 3/2.

E.  Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3.

200

An airport terminal runs shuttle buses to different parts of the airport.  The scatter plot shows the times for each part of the airport and a number of round trips. 

Which equation is closest to the line of best fit for this data?


A. y = 3/5 x + 1                 B. y= 3/2 x + 1

C. y = 3/4 x + 2                 D. y = 5/4 x + 2

A. y = 3/5 x + 1

200

List the following expressions in order from least to greatest value.

√5, √3 , pi

√3,√5, pi

300

The average distance between planet Neptune and the Sun is about 4 x 109.  What is 4 x 109 written in standard notation?

4,000,000,000

300

Which of the following equations represents a linear function?

A.  y=3x2    B.  y=2-x3   C.  y=3x+2   D.  y=1/x -4

C. y=3x+2

300

Triangle EFG is similar to triangle TUV, as shown below.  Based on the measurements of the triangles, what is the measure of angle U?


48o

300

A researcher studied the eyesight of people at different ages.  She calculated a vision score for each person in the study and plotted the data on the following graph.  The researcher used the line y= -0.1x + 110 to model the data.  When she substituted the value x=65 into this equation, what did the result tell her?


A 65-year old's predicted vision score.

300

What is 5/11 written as a decimal?

5/11 = 45/99 = 0.45 repeating (with a bar over the .45)

400

A lab has two bacteria cultures.  Culture A contains 8 x 104, and Culture B containes 4 x 106 bacteria.  How do the two cultures compare in size?

A. Culture A contains twice as many bacteria as Culture B.

B. Culture A contains 1/2 as many bacteria as Culture B.

C. Culture A contains 1/25 as many bacteria as Culture B.

D.  Culture A contains 1/50 as many bacteria as Culture B.

D.  Culture A contains 1/50 as many bacteria as Culture B.

400

A car rental company charges $45 per day for the car as well as charging a one-time $25 fee for the car's navigation system (GPS).  Write an equation for the cost in dollars, C, as a function of the number of days, d, the car was rented.

C= 45d+25

400

What is the measure of angle 5 if the measure of angle 2 is 45o and the measure of angle 3 is 60o?


75o

400

A principal surveyed 75 seventh-grade and eighth-grade students.  She asked them if they prefer to obtain the news from the internet or to obtain the news from television.  She created a table to display the data, as shown below.

How many seventh-grade students responded to the survey?  Show or explain how you got your answer.

50 seventh-graders

400

Which numbers are irrational?  Select all that apply.

A. √7    B. 4pi     C. √1   D. 0.45  E.  pi/2    

A. √7    B. 4pi     C. √1    E.  pi/2    

500

David wants to purchase some pens.  The pens he likes cost $2 each, not including tax.  This is represented by the graph in the coordinate plane below.  Write an equation for the graph of the line.


y=2x

500

A bicycle club went on a six-hour ride.  The graph below shows the relationship between the number of hours spend on the trails and the number of miles traveled.  Which statement best interprets information provided by the graph?

A. The club members rode at a constant speed for the entire ride.

B.  The club members stopped for a rest during their ride.

C.  The number of miles traveled increased continuously throughout the ride.

D.  The number of miles traveled increased some of the time and decreased some of the time.

B.  The club members stopped for a rest during their ride.

500

The distance from Jonestown to Maryville is 180 miles, the distance from Maryville to Elm City if 300 miles, and the distance from Elm City to Jonestown is 240 miles.  Do the three towns form a right triangle?  Explain.

Using pythagorean theorum, check to see that 

a2+b2=c2

1802 + 2402 = 3002

32,400 + 57,600 = 90,000

90,000 = 90,000

500

Mateo is an editor for a publishing company that prints short stories and academic articles.  Last month, Mateo kept track of the number of pages that were in each article or short story he edited and the number of typos he found in each.  Below is a scatter plot showing the relationship between the number of pages and the number of typos.

Do Mateo's data show a positive association or a negative association?  Explain how you know.

Positive association

500

Which numbers are between 4 and 5?  Select all that apply.

A. 3√2   B.  2√pi   C.  1/2√68  D.  √17   E.  2√7

C.  1/2√68

D.  √17

E.  2√7