Math 3 Review Day #3

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 exponents 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 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 difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers (e.g., 1/2, 3), while an irrational number cannot be expressed as a simple fraction (e.g., √2, π).

Front

What is the area of a circle?

Back

The area (A) of a circle is calculated using the formula: A = πr², where r is the radius of the circle.

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 numbers are arranged in order, and mode is the number that appears most frequently.

Front

How do you solve a system of equations using substitution?

Back

To solve a system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation.