Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve: (2x - 3) / 4 = 9

Back

x = 19.5

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true, often resulting in a contradiction.

Front

Solve: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

What is the first step in solving the equation 5x + 15 = 10x - 40?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

What is the distributive property?

Back

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