Math 3 EOC Review

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 mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the number that appears most frequently.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define a system of equations.

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

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 being tested and measured.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients. Example: 2x² + 3x + 5.

Front

Explain the concept of probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).