8th grade Pre-Algebra FSA Review

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

Which of the following is not a rational number: -3, 2.7, √4, √5?

Back

√5 is not a rational number because it cannot be expressed as a fraction of two integers.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

If a cylinder has a volume of 320π cubic feet and a height of 20 feet, what is the radius?

Back

The radius is 4 feet.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you find the height of a ladder leaning against a wall?

Back

Use the Pythagorean theorem: if the distance from the wall is a and the height is b, then the length of the ladder c is given by c = √(a² + b²).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run (change in y over change in x).

Front

If a line rises 2 units for every 4 units it runs, what is the slope?

Back

The slope is 1/2.

Front

What is the formula to find the length of a side in a right triangle?

Back

Use the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

If one side of a right triangle is 60 inches and the hypotenuse is 80 inches, how do you find the missing side?

Back

Use the Pythagorean theorem: a = √(c² - b²).