EOC Math 1 Review no. 1

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). Formula: a² + b² = c².

Front

Define a linear equation.

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter m. It is calculated as the change in y divided by the change in x (rise/run).

Front

Explain the concept of a function.

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. It can be represented as f(x).

Front

What is the difference between independent and dependent variables?

Back

An independent variable is the variable that is changed or controlled in an experiment, while a dependent variable is the variable that is tested and measured.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, meaning they have the same slope.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length (l) by its width (w). Formula: Area = l × w.

Front

Define the term 'mean' in statistics.

Back

The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the count of numbers.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

Explain what a ratio is.

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.