Pre-Algebra Review

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a shape the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the coordinates of a point after translation?

Back

To find the new coordinates after translation, add the translation values to the original coordinates. For example, if a point (x, y) is translated by (a, b), the new coordinates will be (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for the volume of a sphere?

Back

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the cube root of a number?

Back

The cube root of a number x is a number y such that y³ = x. For example, the cube root of 27 is 3 because 3³ = 27.

Tags

CCSS.8.EE.A.2

Front

How do you calculate the volume of a cylinder?

Back

The volume of a cylinder is calculated using 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

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): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

How do you find the length of a missing side in a right triangle?

Back

Use the Pythagorean theorem. If you know the lengths of two sides, you can find the third side by rearranging the formula: c = √(a² + b²) or a = √(c² - b²) or b = √(c² - a²).

Tags

CCSS.8.G.B.7

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula A = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula A = (1/2) × base × height.

Tags

CCSS.6.G.A.1

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).

Tags

CCSS.5.NBT.A.2