Math 3 Review Day #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 of the first degree, meaning it has no variables raised to a power greater than one. It can be written in the form ax + b = 0, where a and b are constants.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction a/b, where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction, and its decimal representation is non-repeating and non-terminating.

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 function in mathematics.

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Explain the concept of a system of equations.

Back

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