Semester 1 Final Review #2

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where V is the volume, r is the radius, and h is the height.

Front

If the volume of a cylinder is 250π ft³ and the height is 10 ft, how do you find the radius?

Back

To find the radius, use the formula V = πr²h. Rearranging gives r = sqrt(V/(πh)). Plugging in the values gives r = sqrt(250/(10)) = 5 inches.

Front

What is the formula for the area of a square?

Back

The area of a square is given by the formula: A = s², where A is the area and s is the length of a side.

Front

If a square has an area of 144 square feet, how do you find the perimeter?

Back

First, find the side length: s = sqrt(144) = 12 ft. Then, use the perimeter formula: P = 4s = 4(12) = 48 ft.

Front

What is the equation for solving a linear equation?

Back

A linear equation can be expressed in the form ax + b = c, where a, b, and c are constants.

Front

Back

First, simplify: 6x + 80 = 200. Then, subtract 80 from both sides: 6x = 120. Finally, divide by 6: x = 20.

Front

What is a scale factor in geometry?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to enlarge or reduce figures.

Front

If a rectangle measuring 8 inches by 5 inches is enlarged by a scale factor of 3, what are the new dimensions?

Back

New dimensions are: length = 8 * 3 = 24 inches, width = 5 * 3 = 15 inches.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula: P = 2(l + w), where l is the length and w is the width.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.