This page shows questions in the Math 7 Modeling public release module at MSDE. 7th Grade Math
"Math 7 Modeling"
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This is a test question that allows you to enter extended text in your response.
Teams A and B are playing a game in a gym by tossing beanbags. Tape is placed on the gym floor to mark off the areas in which the teams can score points, as shown in the diagram.
Rectangle A represents the area in which Team A can score points. Rectangle B represents the area in which Team B can score points. The place where both rectanges overlap is the area in which both teams can score points.
- The area of Rectangle A is 10.5 square meters.
- The area of Rectangle B is 8.4 square meters.
- The area of the overlap of Rectangles A and B is fraction with numerator of 3 and denominator of 25 the area of Rectangle A.
What is the total area, in square meters, of the gym floor that is marked off by tape? Show all your work.
Enter your answer and your work 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
The total yearly cost to rent a trumpet is $114. The monthly cost is constant with no initial fee.
A person rents a trumpet for 3 years and 5 months.
- What is the total cost, in dollars, for the person to rent the trumpet?
- Show your work or explain your answer.
- Write an equation that represents the relationship between m, the number of months a trumpet is rented, and t, the total cost to rent the trumpet.
- Explain your equation.
Enter your anwswer and your work or explanation in the space provided.
Part B
Another person pays $90.87 each month toward the purchase of a saxophone. After 5 months, the person has paid 65% of the total cost of the saxophone.
- What is the total cost, in dollars, of the saxophone?
- Show your work or explain your answer.
Enter your answer and your work or explanation 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.