NJSLA Grade 7 Math Unit 3 Practice Test

Lindsey would like to know the number of people at a movie theater who will buy a movie ticket and popcorn. Based on past data, the probability that a person who is selected at random from those who buy movie tickets will also buy popcorn is 0.6. Lindsey designs a simulation to estimate the probability that exactly two in a group of three people selected randomly at a movie theater will buy both a movie ticket and popcorn. For the simulation, Lindsey uses a number generator that generates random numbers.

Any number from 1 through 6 represents a person who buys a movie ticket and popcorn.

Any number from 7 through 9 or 0 represents a person who buys only a movie ticket.

For each trial, Lindsey generates three numbers. Lindsey ran 30 trials of the simulation and recorded the results in the following table:

PART A

In the simulation, one result was “100.” What does this result simulate?

• No one in a group of three randomly chosen people who buy movie tickets also buys popcorn.

• Exactly one person in a group of three randomly chosen people who buy movie tickets also buys popcorn.

• Exactly two people in a group of three randomly chosen people who buy movie tickets also buy popcorn.

• All three people in a group of three randomly chosen people who buy movie tickets also buy popcorn.

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 number of almonds in the jars from the two brands?

• The number of almonds in jars from Brand X tends to be greater and more consistent than those from Brand Y.

• The number of almonds in jars from Brand X tends to be greater and less consistent than those from Brand Y.

• The number of almonds in jars from Brand X tends to be fewer and more consistent than those from Brand Y.

• The number of almonds in jars from Brand X tends to be fewer and less consistent than those from Brand Y.

The scale on a map shows that

5 centimeters = 2 kilometers.

PART A

What number of centimeters on the map represents an actual distance of 5 kilometers?

Enter your answer in the box.

The scale on a map shows that

5 centimeters = 2 kilometers.

PART B

What is the actual number of kilometers that is represented by 2 centimeters on the map?

Enter your answer in the box.

A worker has to drive her car as part of her job. She receives money from her company to pay for the gas she uses. The table shows a proportional relationship between y, the amount of money that the worker receives, and x, the number of work-related miles driven.

PART A

Explain how to compute the amount of money the worker receives for any number of work-related miles. Based on your explanation, write an equation that can be used to determine the total amount of money, y, the worker receives for driving x work-related miles.

Enter your explanation and your equation in the space provided.

A worker has to drive her car as part of her job. She receives money from her company to pay for the gas she uses. The table shows a proportional relationship between y, the amount of money that the worker receives, and x, the number of work-related miles driven.

PART B

On Monday, the worker drove a total of 134 work-related and personal miles. She received $32.13 for the work-related miles she drove on Monday. What percent of her total miles driven were work-related on Monday? Show or explain your work.

Enter your answer and your work or explanation in the space provided.

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.

• 6 m and 2 m

• 8 m and 5 m

• 7 m and 3.5 m

• 10 m and 2.5 m

• 11.25 m and 3.75 m

A teacher surveyed students in four classes to determine the location for a field trip. Each student chose only one location. The table shows the number of students from each class who chose each location.

PART A

Determine the percent of students in each class who chose the museum. Which class had the greatest percent?

• Class E

• Class F

• Class G

• Class H