Worksheet 13: Honors 8th grade spiral review

Solve for x: 5x−3=2x+12

• x = 5

• x = 3

• x = -5

• x = 7

• The 5-liter bottle offers a better price per liter ($2.40 per liter vs $3 per liter).

• The 3-liter bottle offers a better price per liter ($3 per liter vs $2.40 per liter).

• Both bottles offer the same price per liter.

• The 3-liter bottle is cheaper overall, so it offers a better price per liter.

Find the surface area of a cylinder with radius 3 m and height 7 m.

• Surface area = 60π ≈ 188.4 m²

• Surface area = 63π ≈ 197.9 m²

• Surface area = 42π ≈ 131.95 m²

• Surface area = 30π ≈ 94.2 m²

A data set has a mean of 50 and standard deviation of 5. What does this tell you about the data spread?

• Most data values are within 5 units of the mean (between 45 and 55).

• All data values are exactly 5 units apart.

• The mean is always greater than the standard deviation.

• The data set contains only values of 45 and 55.

Use 3.14 to approximate the volume of a sphere with diameter 12 cm.

• 904.32 cm³

• 723.4 cm³

• 1130.97 cm³

• 452.16 cm³

• 21

• 210

• 0.21

A triangle is dilated by a scale factor of 1/2. How do the side lengths change?

• The side lengths are halved.

• The side lengths are doubled.

• The side lengths remain the same.

• The side lengths are tripled.

The equation y=7x represents the cost y in dollars for x pounds of apples. What is the unit rate and what does it mean?

• The unit rate is 7 dollars per pound, meaning each pound of apples costs $7.

• The unit rate is 1 dollar per 7 pounds, meaning each 7 pounds of apples cost $1.

• The unit rate is 7 pounds per dollar, meaning each dollar buys 7 pounds of apples.

• The unit rate is 1 dollar per pound, meaning each pound of apples costs $1.

Solve for x: 4(x+3)=3(2x−1)+7 (Standard: 8.EE.C.7)

• x = 2

• x = 1

• x = -2

• x = 0

Explain what it means if two quantities have a constant unit rate.

• It means the ratio between the two quantities is always the same.

• It means the two quantities are always increasing.

• It means the two quantities are always decreasing.

• It means the two quantities are always equal.