Solving Multi-step Linear Equations

Front

What is a multi-step linear equation?

Back

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

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

What is the first step to solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to simplify the equation to 6x - 3 = 27.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

How do you solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to get 4x = -36, then divide by 4 to find x = -9.

Front

What is the solution to the equation 4x + 10 = -26?

Back

The solution is x = -9.

Front

What is the first step to solve the equation 5x - 4 + 2x = 3?

Back

Combine like terms to simplify the equation to 7x - 4 = 3.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

The solution is x = 1.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

Distribute the 2 to get 3x + 8x - 8 = 3, then combine like terms.

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

The solution is x = 1.