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IM: 7.4.1: Lots of Flags (Practice)

Last updated 11 months ago

9 questions

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Question 1

1.

A rectangle has a height to width ratio of 3 : 4.5. Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.

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Question 2

2.

One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why.

Question 3

3.

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, a, to the number of ant legs, l . Elena writes a = 6 \sdot l and Andre writes l = \frac{1}{6} \sdot a. Do you agree with either of the equations? Explain your reasoning.

Question 4

4.

On the grid, draw a scaled copy of quadrilateral ABCD with a scale factor 2/3.

Solve each equation mentally.

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Question 5

5.

\frac{5}{2} \sdot x = 1

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Question 6

6.

x \sdot \frac{7}{3} = 1

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Question 7

7.

1 \div \frac{11}{2} = x

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48.

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Question 8

8.

The height of the model train is 102 millimeters. What is the actual height of the train in meters? Explain your reasoning.

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Question 9

9.

On the scale model, the distance between the wheels on the left and the wheels on the right is 11/4 inches. The state of Wyoming has old railroad tracks that are 4.5 feet apart. Can the modern train travel on those tracks? Explain your reasoning.