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Questions 1 - 10
1

Find the area of a circle with the following radius:

Explanation

The area of a circle can be calculated using the following formula:

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

2

Calculate the volume of a sphere with the following radius:

Explanation

We can calculate the the volume of a sphere using the following formula:

in this formula the variable, , represents the radius of the sphere.

Substitute in the known radius and calculate the volume.

Simplify.

Solve.

3

Solve:

Explanation

The lines on either side of the negative integer represent that we need to find its absolute value. The absolute value of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All absolute values are positive.

Therefore, the absolute value—or distance from zero—is the following:

4

Find the area of a circle with the following radius:

Explanation

The area of a circle can be calculated using the following formula:

In this formula the radius is denoted by the variable, .

Substitute in the known variables and solve for the circle's area.

5

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

square feet.

6

Calculate the volume of a sphere with the following radius:

Explanation

We can calculate the the volume of a sphere using the following formula:

in this formula the variable, , represents the radius of the sphere.

Substitute in the known radius and calculate the volume.

Simplify.

Solve.

7

Solve:

Explanation

The lines on either side of the negative integer represent that we need to find its absolute value. The absolute value of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All absolute values are positive.

Therefore, the absolute value—or distance from zero—is the following:

8

Calculate the volume of a sphere with the following radius:

Explanation

We can calculate the the volume of a sphere using the following formula:

in this formula the variable, , represents the radius of the sphere.

Substitute in the known radius and calculate the volume.

Simplify.

Solve.

9

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

square feet.

10

A square has perimeter 24 feet. Give its area.

36 square feet

576 square feet

144 square feet

18 square feet

Explanation

The perimeter of a figure is the sum of the lengths of its sides. A square comprises four sides of equal length, so, if the perimeter of the square is 24 feet, then each side has length

feet.

The area of the square is equal to the length of a side multiplied by itself, so the area of this square is

square feet.

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