PSA79K4 - Grade 8 Mathematics Practice Test 2015
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A store sells white scarves and red scarves.

  • A white scarf costs $3
  • A red scarf costs $5

On Monday, the store sold 12 scarves for a total of $50.

What is the total number of red scarves that the store sold on Monday?

Select one:

 

Which of the following tables shows a relationship that is not a function?

Select one:

 

Which of the following numbers is irrational?

Select one:

 

A tree in Oakland has a mass of approximately 3 X 106 kilograms. A tree in Mapleville has a mass of approximately 6 X 104 kilograms.

The mass of the tree in Oakland is about how many times the mass of the tree in Mapleville?

Select one:

 

Richard wants to purchase one large pizza and some soft drinks for a club meeting. He compares the prices at two restaurants.

Each soft drink at the first restaurant has the same price. The table below shows the y, the total price of the one large pizza and x soft drinks at the first restaurant.

At the second restaurant, the total price, y, of one large pizza and x soft drinks can be represented by the equation below.

y=1.5x+18

Which of the following statements is true?

Select one:

 

What value of x makes the equation below true?

x2=169

Type your answer below:

 

Points K, L, M, and N are shown on the number line below.

Which point on the number line best approximates, the location of ?

Select one:

 

A scatterplot is shown below. 

Which of the following most closely approximates the line of best fit for the data in the scatterplot?

Select one:

 

Quadrilateral RSTU is shown on the coordinate grid below.

The quadrilateral will be reflected over the y-axis. What will be the length, in units, of the image of line segment TU after the reflection?

Select one:
Part A)

 

Kate is reading a 500-page book. The graph below represents the relationship between the number of hours Kate has spent reading and the number of pages she has read.

On a separate piece of paper, copy the x-axis, the y-axis, and the line representing Kate's reading rate exactly as shown. Be sure to label the line "Kate's rate."

At what rate, in pages per hour, is Kate reading? Show or explain how you got your answer.

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Part B)

What is the total amount of time, in hours, it will take Kate to read an entire 500 page-book? Show or explain how you got your answer.

Type your answer below:
Part C)

Edward is reading the same 500-page book. The equation below represents the relationship between y, the number of pages he has read, and x, the number of hours he has spent reading.

y=50x

On your grid, graph the equation that represents the number of hours that Edward has spent reading and the number of pages he has read. Label the line "Edward's rate."

 

Draw your graph on paper, take a picture, and upload it using the image upload icon 

 

If you do not have the ability to upload an image of your work type "Graph is on paper."

Type your answer below:
Part D)

Edward thinks he will finish reading the book in less time than Kate. Is he correct? Show or explain how you got your answer.

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Dustin made a flag in the shape of a triangle, with the dimensions shown below.

Which of the following is closest to the value of x?

Select one:

 

Which of the following graphs shows a linear function?

Select one:

 

The diagram below shows triangle PQR, where angle QRS is an exterior angle.

Based on the given angle measures, what is the measurement of angle QRS?

Select one:

 

A function is graphed on the coordinate grid below.

Which of the following statements best describes the function?

Select one:

 

The graph below shows the number of calories Benjamin will burn over time while walking at a constant rate.

Based on the graph, what is the number of calories Benjamin will burn after walking at a constant rate for 42 minutes?

Select one:

 

Julia and Tom each have a fruit stand. The information in the boxes below can be used to determine the costs, in dollars, of cherries at the two fruit stands.

based on the information, which of the following statements best compares the costs of cherries at the two fruit stands?

Select one:

 

A company makes hats with custom designs. For each custom order, the company charges a one-time fee of $25.00 for the design and $12.50 for each hat made.

Write an equation that can be used to find c, the total cost, in dollars, of a custom order, in terms of h, the number of hats made.

Write the equation using the "WIRIS editor" button 

 

Type your answer below:

 

The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class.

 

Based on the scatterplot, what ordered pair represents the outlier in the data?

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The formula for the volume of a cone is shown in the box below.

In the formula, r is the radius of the base of the cone and h is the height of the cone.

Which of the following is closest to the volume of a cone that has a height of 3.5 inches and a base with a diameter of 1.5 inches? (Use 3.14 for pi.)

Select one:

 

The students at a middle school want to hire a DJ for an end-of-the-year dance. The information below can be used to find the total cost of hiring a DJ at each of four different companies.

Which company's cost has the greatest rate of change?

Select one:
Part A)

  

An art museum gift shop has rectangular posters that are similar to actual rectangular paintings. One poster that is 18 inches long is similar to a painting that is 45 inches long and 30 inches wide.

What is the scale factor used to reduce the size of the actual painting to the size of the poster? Express the scale factor as a fraction in simplest form. Show or explain how you got your answer.

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Part B)

What is the width, in inches, of the poster that is 18 inches long? Show or explain how you got your answer.

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Part C)

All the posters are sized using the same scale factor. A second poster is 16 inches long and 14 inches wide. What are the dimensions, in inches, of the actual painting? Show or explain how you got your answer.

Type your answer below: