Solving Equations

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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the solution to the equation -11 = 4n + 5?

Back

n = -4.

Front

How do you solve an absolute value equation like |3x| = 12?

Back

Set up two separate equations: 3x = 12 and 3x = -12, then solve for x.

Front

What is the solution to the equation |3x| = 12?

Back

x = 4 or x = -4.

Front

What is the solution to the equation -2n - 4 = 32?

Back

n = -18.

Front

What is the solution to the equation x - 8 = -5?

Back

x = 3.