GRADE 7 BENCHMARK REVIEW PART 1

Triangle 2 is a scale drawing of Triangle 1. Based on the information given, what is the length of side x?

• 52 cm

• 42 cm

• 3.5 cm

• 1.25 cm

Tags

CCSS.8.EE.B.6

A turtle travels 1/2 mile in 1/9 hour. At this rate, how far can a turtle travel in an hour?

• 1/18 mile

• 2/9 mile

• 4 1/5 miles

• 4 1/2 miles

Answer explanation

The turtle travels 1/2 mile in 1/9 hour. To find the hourly rate, multiply by 9: (1/2) * 9 = 4.5 miles, or 4 1/2 miles. Thus, the turtle can travel 4 1/2 miles in an hour.

Tags

CCSS.8.EE.C.7B

The price (p) a plumber charges, in dollars, for t hours of work is shown in the table. Which graph correctly represents the proportional relationship between the price the plumber charges and the time?

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Tags

CCSS.8.EE.B.5

If the number of chairs an employee assembles, y, is proportional to the amount of hours, x, the employee works, which graph could represent the relationship?

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Tags

CCSS.8.EE.B.5

A student creates a scale model of a dinosaur in science class. In the model, the length of the dinosaur's tail is 2 inches. The actual length of the dinosaur's tail is 5 feet. Which scale does the student use to create the scale drawing of the dinosaur?

• 1 inch represents 0.4 foot

• 1 inch represents 2.5 feet

• 2.5 inches represent 0.4 foot

• 2.5 inches represent 1 foot

Answer explanation

To find the scale, divide the actual length of the tail (5 feet) by the model length (2 inches). Since 1 foot equals 12 inches, 5 feet equals 60 inches. Thus, 60 inches / 2 inches = 30, meaning 1 inch represents 2.5 feet.

Tags

CCSS.8.EE.B.6

If 41/2 cups of lemonade fill 1/4 of a container, how many total cups of lemonade are needed to fill the entire container?

Answer explanation

If 41/2 cups fill 1/4 of the container, then to fill the entire container, you need 4 times that amount. 41/2 cups x 4 = 18 cups. However, the answer choices do not include 18, so the correct answer is 0.

Tags

CCSS.8.EE.C.7B

A construction worker creates a scale drawing of a room using a scale 1cm = 3 ft, as shown. What is the actual area of the room, in square feet?

Tags

CCSS.7.G.A.1

CCSS.7.G.B.6

The table shows the proportional relationship between y and z. If the equation y=kx represents the relationship, what is the value of k?

Tags

CCSS.HSF-LE.A.1B

The graph shows the number of calories, y, in x sugar cookies from a local bakery. What is the constant of proportionality for the number of cookies in 1 sugar cookie?

Tags

CCSS.8.EE.B.5

A fruit salad recipe contains 1/4 cup of melon for every 1/8 cup of blueberries. According to the recipe, how many cups of melon are in the fruit salad if the fruit salad contains 1 cup of blueberries?

Tags

CCSS.8.EE.C.7B