Grade 7 | Unit 6 | Lesson 1: Relationships between Quantities | Practice Problems

Lin and Tyler are drawing circles. Tyler's circle has twice the diameter of Lin’s circle. Tyler thinks that his circle will have twice the area of Lin’s circle as well. Do you agree with Tyler?

• Yes, because the circles have proportional areas.

• No, because the radius and area are not proportional.

• Use Jada's strategy.

• Use Priya's strategy.

Write an equation that can be solved using the other person’s strategy.

Evaluate responses using AI:

OFF

What are the missing operations? 48 ? (-8) = (-6) (-40) ? 8 = (-5) 12 ? (-2) = 14 18 ? (-12) = 6 18 ? (-20) = -2 22 ? (-0.5) = -11

• Multiply

• Divide

• Subtract

• Add

In football, the team that has the ball has four chances to gain at least ten yards. If they don't gain at least ten yards, the other team gets the ball. Positive numbers represent a gain and negative numbers represent a loss. Select all of the sequences of four plays that result in the team getting to keep the ball. A: 8, -3, 4, 21 B: 30, -7, -8, -12 C: 2, 16, -5, -3 D: 5, -2, 20, -1 E: 20, -3, -13, 2

• A: 8, -3, 4, 21

• B: 30, -7, -8, -12

• C: 2, 16, -5, -3

• D: 5, -2, 20, -1

• E: 20, -3, -13, 2

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know.

• Yes, it is proportional.

• No, it is not proportional.

How much does the store charge for 1 additional turkey sub? Describe a rule for determining how much the store charges based on the number of turkey subs delivered.

Evaluate responses using AI:

OFF

• A: Elena read three times as many pages as Noah. She read 27 pages.

• B: Lin has 27 stickers. She gives 3 stickers to each of her friends.

• C: Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered.

• D: The coach splits a team of 27 students into 3 groups.