Worksheet 17: Honors 8th grade spiral review

A rectangle has width w and length l. The length is 3 more than twice the width. Write the two equations relating l and w. If the perimeter is 54 units, find w and l.

• l = 2w + 3; 54=l+p; w = 8.25, l = 19.5

• l = w + 3; 54=l+w+3; w = 10, l = 13

• l = 3w + 2; 54=3w+2; w = 7, l = 23

• l = 2w - 3; 54=4l; w = 9, l = 15

The scatter plot below shows the relationship between the number of hours a student studies and their test score. The line of best fit is y=5x+60. Interpret the meaning of the slope and the y-intercept in this context. (Standard: 8.SP.A.2)

A sphere has a diameter of 10 cm. What is its volume? Use π=3.14.

• Volume = 523.33 cm³

• Volume = 1256 cm³

• Volume = 33.49 cm³

• Volume = 1436.76 cm³

• x = 16

• x = 1

• x = 5

• x = 3.2

A recipe uses 4 cups of flour to make 24 cookies. How many cups of flour are needed to make 60 cookies?

• 10 cups of flour

• 8 cups of flour

• 12 cups of flour

• 6 cups of flour

A triangle has vertices at (1,2), (4,6), (1,6). What are the lengths of its sides? Use distance formula.

• (1,2) to (4,6): 5 units; (4,6) to (1,6): 3 units; (1,6) to (1,2): 4 units

• (1,2) to (4,6): 4 units; (4,6) to (1,6): 5 units; (1,6) to (1,2): 3 units

• (1,2) to (4,6): 3 units; (4,6) to (1,6): 4 units; (1,6) to (1,2): 5 units

• (1,2) to (4,6): 6 units; (4,6) to (1,6): 2 units; (1,6) to (1,2): 5 units

The function f(x)=3x+2 models the total cost f(x) in dollars for x items bought. Find the cost for 7 items and interpret the meaning of 2.

• f(7) = 23; 2 is the fixed cost or starting value when no items are bought.

• f(7) = 21; 2 is the cost per item.

• f(7) = 23; 2 is the cost for each item bought.

• f(7) = 21; 2 is the total cost for 7 items.

A cylinder has radius 5 cm and height 12 cm. A cone has the same radius and height. Find the volume of each and compare.

Two parallel lines are cut by a transversal. If one alternate interior angle measures 70°, what is the measure of the other alternate interior angles?

• 70°

• 60°

• 80°

• 90°