Equations, Expressions, & Inequalities
Rational Numbers (Negatives/Positives)
Proportional Relationships
Statistics/Probability
Geometry
100

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax.

Exactly how many erasers did Stefanie buy?

10

100

On Monday, the temperature at 10 a.m. at Sam's house was −6∘ Fahrenheit. The temperature at 2 p.m. at Sam's house was 2∘ Fahrenheit.
Which statement about the change in temperature from 10 a.m. to 2 p.m. at Sam's house is true?

A. The temperature decreased by 12 degrees Fahrenheit.
B. The temperature decreased by 4 degrees Fahrenheit.
C. The temperature increased by 3 degrees Fahrenheit.
D. The temperature increased by 8 degrees Fahrenheit.


D. The temperature increased by 8 degrees Fahrenheit.
100

The table below represents a relationship between the time a turtle walks and the distance the turtle travels.            

What is the unit rate, in feet per minute, represented in this table?

24

100

The spinner shown is divided into 8 equal sections.
                                                                   

The arrow on this spinner is spun once.

What is the probability that the arrow will land on a section labeled with a number greater than 3?

A.  1/8

B. 1/4

C. 1/3

D. 1/2

B. 1/4

100

Jamal will slice a right circular cylinder into two congruent pieces. Which two-dimensional plane sections could result from the slice Jamal makes?
Select each correct answer.

A. Circle

B. Pentagon

C. Hexagon

D. Triangle

E. Rectangle

A. Circle & E. Rectangle

200

Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far, she has earned 480 points. How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a free prize?

A. 8 
B. 35
C. 43
D. 51


B. 35
200

An airplane's altitude changed  −378 feet over 7 minutes. What was the mean change of altitude in feet per minute?

-54

200


A 4 1/2-ounce hamburger patty has 25 1/2 grams of protein, and 6 ounces of fish has 32 grams of protein. Determine the grams of protein per ounce for each type of food.
Correctly complete each statement.

A hamburger patty has approximately ______ grams of protein per ounce.
The fish has approximately ______ grams of protein per ounce.

A hamburger patty has approximately 5.7 grams of protein per ounce.
The fish has approximately 5.3 grams of protein per ounce.


200

Alexis chose a random sample of 10 jars of almonds from each of two different brands, X and Y. Each jar in the sample was the same size. She counted the number of almonds in each jar. Her results are shown in the plots.
                                                       

Based on the plots, which statement best compares the numbers of almonds in the jars from the two brands?

A. The number of almonds in jars from Brand X tends to be greater and more consistent than those from Brand Y.
B. The number of almonds in jars from Brand X tends to be greater and less consistent than those from Brand Y.
C. The number of almonds in jars from Brand X tends to be fewer and more consistent than those from Brand Y.
D. The number of almonds in jars from Brand X tends to be fewer and less consistent than those from Brand Y.
B. The number of almonds in jars from Brand X tends to be greater and less consistent than those from Brand Y.
200

A right triangle has legs measuring 4.5 meters and 1.5 meters. The lengths of the legs of a second triangle are proportional to the lengths of the legs of the first triangle.
Which could be the lengths of the legs of the second triangle?

Select each correct pair of lengths.

A. 6 m and 2 m
B. 8 m and 5 m
C. 7 m and 3.5 m
D. 10 m and 2.5 m
E. 11.25 m and 3.75 m


A. 6 m and 2 m
E. 11.25 m and 3.75 m
300

Part A

At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.

How much money, in dollars, per band member, still needs to be raised for the trip?

Part B

The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each. A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.

What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

Part A: 68.40

Part B: 456

300

Divide.

64/−4=____

-16

300

The table shows a proportional relationship between the number of pounds of grapes purchased and the total cost of the grapes.
                                                     

A row of values is missing in the table.
Which number of pounds of grapes and total cost of the grapes could be used as the missing values in the table?
Select each correct response.

A. Pounds of grapes: 2
Total cost: $1.38
B. Pounds of grapes: 3
Total cost: $2.53
C. Pounds of grapes: 6
Total cost: $3.68
D. Pounds of grapes: 8
Total cost: $5.52
E. Pounds of grapes: 11
Total cost: $8.97


A. Pounds of grapes: 2
Total cost: $1.38
D. Pounds of grapes: 8
Total cost: $5.52
300

Josephine owns a diner that is open every day for breakfast, lunch, and dinner. She offers a regular menu and a menu with daily specials. She wanted to estimate the percentage of her customers who order specials. She selected a random sample of 50 customers who had lunch at her diner during a three-month period. She determined that 28% of these customers ordered from the menu with specials.
Which statement about Josephine's sample is true?

A. The sample is the percentage of customers who ordered daily specials.
B. The sample might not be representative of the population because it only included lunch customers.
C. The sample shows that exactly 28% of Josephine's customers ordered daily specials.
D. No generalizations can be made from this sample, because the sample size of 50 is too small.
B. The sample might not be representative of the population because it only included lunch customers.
300

Which sets of measurements could be the interior angle measures of a triangle?

Select each correct answer.   

A. 10∘, 10∘, 160∘
B. 15∘, 75∘, 90∘
C. 20∘, 80∘, 100∘
D. 35∘, 35∘, 105∘
E. 60∘, 60∘, 60∘
A. 10∘, 10∘, 160∘
B. 15∘, 75∘, 90∘
E. 60∘, 60∘, 60∘
400

Part A

Solve the inequality.
 4x−5≥7

Part B

When graphing this, is it an open or closed circle?

x≥3

Closed

400

A submarine was situated 800 feet below sea level.

If it ascends 275 feet, what is its new position relative to the sea level?

-525 feet

400

Part A

The graph shows the distance in miles, d, a car travels in hours.
                                             
Explain why the graph does or does not represent a proportional relationship between the variables d and  t.

Part B

Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price of the pair of shorts was $24, how much did Charlie pay?  

Part A:

Sample Student Response:

The graph represents a proportional relationship between the variables d and t because the ratio of d to t is always the same number. The graph goes in a straight line through the origin. 

Part B:

$13.20

400

This spinner is divided into eight equal-sized sections. Each section is labeled with a number.
                                                   
Jake spins the arrow on the spinner once.
Put the events into the correct order from least likely to most likely.

-Arrow lands on a section labeled with an odd number.

-Arrow lands on a section labeled with the number 1.

-Arrow lands on a section labeled with a number lesson than 4.

Arrow lands on a section labeled with the number 1.

Arrow lands on a section labeled with an odd number.

Arrow lands on a section labeled with a number lesson than 4.

400

Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.   

A. 3 cm, 3 cm, 3 cm
B. 4 cm, 8 cm, 13 cm
C. 5 cm, 9 cm, 14 cm
D. 6 cm, 7 cm, 8 cm
E. 7 cm, 7 cm, 10 cm
A. 3 cm, 3 cm, 3 cm
D. 6 cm, 7 cm, 8 cm
E. 7 cm, 7 cm, 10 cm
500

Which expression is equivalent to−8(10x−3)?

A. −80x+24
B. −80x−24
C. −80x−3
D. −80x+3


A. −80x+24
500

Anthony deposited $500 into his bank account. A couple of days later he withdrew $40. The next day he deposited $30. A day later, he withdrew $100. How much money is left in his account?

$390

500

Part A

If the radius of a circle is 7, what is the circumference? (Remember C=Pi x d)

Part B

You scored a 95% on your math quiz.  The quiz was out of 60 points.  How many points did you get?

A. 59.05 points
B. 55 points
C. 58 points
D. 57 points

Part A: 43.96

Part B: D. 57 points

500

Reagan will use a random number generator 1,200 times. Each result will be a digit from 1 to 6. Which statement best predicts how many times the digit 5 will appear among the 1,200 results?

A. It will appear exactly 200 times.
B. It will appear close to 200 times but probably not exactly 200 times.
C. It will appear exactly 240 times.
D. It will appear close to 240 times but probably not exactly 240 times.


B. It will appear close to 200 times but probably not exactly 200 times.
500

The coordinates of a quadrilateral are shown:

  • point J (−4.5, 3)
  • point K (−1.2, 3)
  • point  L (−1.2, 8.7)
  • point M (−4.5, 8.7)

Brenda claims that quadrilateral JKLM is a square.

Show or explain why Brenda is not correct.

Sample Student Response:

In a square, the lengths of all four sides are the same. If quadrilateral JKLM is a square, all four of its side lengths would be the same. Since the y-coordinates are the same in points J and K, the side length of JK is the positive difference between the x-coordinates of each point. So, JK = |−4.5 − (−1.2)| = |−4.5 + 1.2| =|−3.3| = 3.3 units. Similarly, the side length of KL is the positive difference between the y-coordinates of each point. So, KL = |3 − 8.7| = |−5.7| = 5.7 units.

The lengths of two sides of the quadrilateral are not equal, so quadrilateral JKLM is not a square.

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