Illustrative math grade 7 unit 4 lesson 1 practice problems

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

• 6 units by 9 units

• 30 units by 40 units

• 30 units by 45 units

• 45 units by 30 units

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.

• Yes, because each side length has a scale factor of 5.5.

• No, these two figures are not scaled versions of each other. The 2 unit side is scaled by a factor of 5.5 to correspond to the 11 unit side, but 7 multiplied by 5.5 is 38.5, not 37.

What scale factor was used to draw the figure on the right side?

• $\frac{3}{2}$

• 3

• 2

• $\frac{2}{3}$

What is the value of x? $\frac{5}{2}\cdot x=1$   

•  $x=\frac{5}{2}$  

•  $x=5$  

•  $x=\frac{2}{5}$  

•  $x=2$  

 $x\cdot\frac{7}{3}=1$  
Solve for x.

•  $x=\frac{3}{7}$  

•  $x=1$  

•  $x=\frac{1}{10}$  

•  $x=\frac{3}{7}$  

 $1\div\frac{11}{2}=x$  

What is the value of x?

•  $x=\frac{2}{11}$  

•  $x=\frac{1}{2}$  

•  $x=\frac{1}{11}$  

•  $x=\frac{2}{11}$  

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

The height of the model train is 102 millimeters.

What is the actual height of the train in meters?

• 4.896 meters

• 4896 meters

• 10248 meters

• 4896000 meters

The largest U.S. flag in the world is 225 feet by 505 feet.

Is the ratio of the length to the width equivalent to 1:19 , the ratio for official government flags?

• No

• Yes

The largest U.S. flag in the world is 225 feet by 505 feet.

If a square yard of the flag weighs about 3.8 ounces, how much does the entire flag weigh in pounds?

• About 82 pounds.

• About 3,000 pounds.

• About 300 pounds.

• About 3,800 pounds.

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 ∙ l and Andre writes l = ⅙ ∙a.

Do you agree with either of the equations?

• Neither of them are correct

• Elena is correct

• Andre is correct