8th grade First term math review

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, expressed as $a^2 + b^2 = c^2$.

What is a prime number?

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. It has exactly two distinct positive divisors: 1 and itself.

What is the formula for the area of a triangle?

The area of a triangle can be calculated using the formula $A = \frac{1}{2} \times base \times height$.

What is a linear equation?

A linear equation is an equation that makes a straight line when graphed. It is of the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

What is the greatest common factor (GCF)?

The greatest common factor (GCF) is the largest integer that divides two or more numbers without leaving a remainder.

What is the distributive property?

The distributive property states that $a(b + c) = ab + ac$, meaning you distribute the multiplication over addition.

What is a rational number?

A rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $q$ is not zero.