PSABDTZJ - Grade 8 Mathematics Practice Test 2019
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What is 8.25 × 105 written in standard notation?

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

 

Which point on this number line best represents ?

 

 

Select one:

 

This expression represents the number of bacteria in a petri dish.

 

 

What is the number of bacteria in the petri dish?

 

Select one:

 

What value of w makes this equation true?

 

 

Select one:
Part A)

 

An art teacher needs to buy 20 shirts for a class project. She can buy the shirts at a local store or online. This graph shows the costs, in dollars, for different numbers of shirts at a local store.

 

 

A. Based on the graph, what is the cost, in dollars, for each shirt at the local store? Show or explain how you got your answer.

 

Type your answer below:
Part B)

 

B. Write a function that can be used to find y, the total cost, in dollars, of buying x shirts from the local store.

 

Write the equation using the "WIRIS editor" button 

 

Type your answer below:
Part C)

C. The teacher could buy the shirts online for $3.50 each. She would also pay a fee of $9.50 for shipping the shirts. Write a function that can be used to find y, the total cost, in dollars, of buying x shirts online.

 

Write the equation using the "WIRIS editor" button 

 

Type your answer below:
Part D)

D. The teacher wants to spend the least amount of money. Should she buy the 20 shirts from the local store or online? Show or explain how you got your answer.

 

Type your answer below:

 

Between which pair of numbers on a number line does  lie?

 

Select one:

 

The speed of light in cold air is approximately 3 × 108 meters per second.
The speed of sound in cold air is approximately 3 × 10meters per second.
The speed of light in cold air is how many times the speed of sound in cold air?

 

A. 1 × 104
B. 3 × 104
C. 1 × 106
D. 3 × 106

 

Select one:

 

Consider this expression.

 

 

What is the value of the expression?

 

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

 

A fruit stand sells apples, oranges, and bananas. The cost of 1 apple is $0.50, and the cost of 1 orange is $0.60.


• Ronald bought 4 apples and 1 banana.
• Madison bought 2 oranges and 3 bananas.
• The total cost of the fruit Ronald bought was the same as the total cost of the fruit Madison bought.


What is the cost of 1 banana at the fruit stand?

 

Select one:

 

Lines m and n are parallel lines cut by transversal line t, as shown.

 

 

The measure of ∠1 is 120°. What is the measure of ∠2?

 

Select one:

 

The length of one side of a right triangle is shown in this diagram.

 

What could be the lengths of the two remaining sides of the triangle?

Select one:

 

Trapezoid DEFG is shown on this coordinate plane.

 

Trapezoid DEFG will be reflected over the x-axis. What will be the coordinates of the image of point E?

 

Select one:

 

Parallel lines j and k are cut by transversal line p, creating the angles shown.

 

Determine which angles must be congruent to angle x. Select all the angles that must be congruent to angle x.

 

Select all that apply:

 

Melinda and Paul ran in a marathon. This graph shows the relationship between the distance and the time they each ran.

 

Melinda ran at a constant speed of 5 miles per hour. Which of the following is true?


A. Paul ran at a slower constant speed than Melinda. An equation that could represent the relationship between Paul’s distance and his time is y = 1x, where x is the time in hours, and y is the distance in miles Paul ran.


B. Paul ran at a slower constant speed than Melinda. An equation that could represent the relationship between Paul’s distance and his time is y = 3x, where x is the time in hours, and y is the distance in miles Paul ran.


C. Paul ran at a faster constant speed than Melinda. An equation that could represent the relationship between Paul’s distance and his time is y = 5x, where x is the time in hours, and y is the distance in miles Paul ran.


D. Paul ran at a faster constant speed than Melinda. An equation that could represent the relationship between Paul’s distance and his time is y = 7x, where x is the time in hours, and y is the distance in miles Paul ran.

 

Select one:
Part A)

 

Ethan asked a random sample of students the two questions below.

 

• Do you have brothers or sisters?
• Does your family have a dog?


Ethan created this table to display the data he collected.

 

A. Based on the table, what is the total number of students that have no brothers or sisters? Show or explain how you got your answer.

 

Type your answer below:
Part B)

B. Based on the table, what percentage of students that have no brothers or sisters have a dog? Show or explain how you got your answer.

 

Type your answer below:
Part C)

C. Of the students represented in the table that have no dog, what is the ratio of students that have brothers or sisters to students that have no brothers or sisters? Show or explain how you got your answer.

 

Type your answer below:
Part D)

D. Ethan believes that students that have no brothers or sisters are more likely to have a dog than are students that have brothers or sisters. Does the data support Ethan’s belief? Explain your reasoning.

 

Type your answer below:
Part A)

 

Triangle JKL is shown on this coordinate plane.

 

 

A student will reflect triangle JKL across the y-axis. Which coordinate plane shows triangle J’K’L’, the image of triangle JKL after the reflection?

 

 

Select one:
Part B)
Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):

 

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters. Which of the following is closest to the volume of the piece of candy? (Use 3.14 for π.)

 

Select one:
Part A)

 

A student rode his bicycle from his home to a park.

 

• He rode home from the park following the same route.
• He took two rest breaks during his ride, including one at the park.


This graph shows the relationship between the time and the total distance the student rode his bicycle.

 

A. Based on the graph, which statement about the student’s bicycle ride is true?

 

A. The student stopped for a rest break on his way to the park.
B. The student stopped for a rest break on his way home from the park.
C. The student’s rest break at the park lasted longer than the other rest break he took.
D. The student reached his fastest speed on his way home from the park.

 

Select one:
Part B)

B. Which graph shows how the student’s distance from home changed over time?

 

 

Select one:

 

Triangle PTU is shown on this coordinate plane.

 

What is the length, to the nearest unit, of line TU?

 

Select one:

 

Right triangle JAZ has a base of 5 centimeters and a height of 8 centimeters, as shown.

 

Which of the following pairs of dimensions could represent a triangle that is similar to triangle JAZ?

 

Select one: