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This page shows questions in the Math 7 Reasoning public release module at MSDE. 7th Grade Math
"Math 7 Reasoning"

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This is a test question that allows you to enter extended text in your response.

The graph shows the distance a car is driven for each gallon of gas used.

Amount of Gas Used (gallons) Distance Driven (miles) 1 2 3 4 5 6 7 8 9 0 10 20 30 40 50 60 70 80 90 100 110 x y Distance vs. Gas Usage Image A line graph is titled distance vs. gas usage. The x axis is labeled amount of gas used in gallons and ranges from 0 to 10 in increments of 1, and the y axis is labeled distance driven in miles and ranges from 0 to 120 in increments of 10. A line goes from 0, 0 to an arrow at 6, 120. Points are plotted on the line at 1, 20, at 2, 40, and at 3, 60.
  • Does the graph represent a proportional relationship? Explain your answer.
  • How many miles can be drive using 5.5 gallons of gas?
  • Use the graph to explain how you found the number of miles that can be driven using 5.5 gallons of gas.

Enter your explanations and your answers in the space provided.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.

This is a question with 2 parts, including a test question that allows you to enter extended text in your response.

Part A

Consider the graph shown.

A line graph has x axis ranging from 0 to 22 in increments of 2 and a y axis ranging from 0 to 440 in increments of 40. A line goes from 0, 0, through the point 2, 120, through the point 6, 360, and ends with an arrow at between 6 and 8, 440.

Find the constant of proportionality of the graph.

Show your work or explain your answer.

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

Part B

The original graph is changed by moving the graph up 40 units, as shown.

A line graph has x axis ranging from 0 to 22 in increments of 2 and a y axis ranging from 0 to 440 in increments of 40. A line goes from 0, 40, through the point 2, 160, through the point 6, 400, and ends with an arrow at a little more than 6, 440.

A student uses the point ordered pair 4, 280 to write the equation y equals 70 x. The student claims that this equation represents the relationship shown in the new graph because 280 divided by 4 is 70.

  • Explain the error in the student's reasoning.
  • Use a different point from the graph to explain why the student's equation does not represent the relationship shown in the new graph.

Enter your explanations in the space provided.

Copyright 2023, New Meridian Corporation. Reprinted with permission. All rights reserved. The printing, copying, redistribution, or retransmission of this content without express written permission is prohibited.