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.

Tags

CCSS.5.NBT.A.2

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

Tags

CCSS.8.G.B.7

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).

Tags

CCSS.8.G.B.8

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).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 1/2.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.G.B.8

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).

Tags

CCSS.8.G.B.7