211214 wu equations/functions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 2b = -16?

Back

Divide both sides by 2 to isolate b.

Front

What is the solution for the equation x + 9 = 21?

Back

x = 12.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value by getting it alone on one side of the equation.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing us to multiply a single term by two or more terms inside a parenthesis.

Front

How do you apply the distributive property to 3(3x - 6)?

Back

Multiply 3 by both 3x and -6 to get 9x - 18.

Front

What is the solution for the equation 3(3x - 6) = 18?

Back

x = 4.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.