8th grade Math Review

Front

What is the definition of slope in mathematics?

Back

Slope is defined as the ratio of the rise (the change in y) to the run (the change in x) between two points on a line.

Front

What is the value of x in the equation: 5x = 100?

Back

x = 20

Front

Solve the equation: 0.5(x - 3) = 7.5.

Back

x = 18

Front

Simplify the expression: -x² + 2 - 1 + 6x² - 4x².

Back

x² + 1

Front

What is the simplified form of the expression: 6 + 2(7x - 3)?

Back

14x

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is a linear equation?

Back

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

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the Pythagorean theorem?

Back

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

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.