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 isolate the variable and solve for its value.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30.

Front

What is the final step to solve for x in the equation 6x = 30?

Back

Divide both sides by 6 to find x = 5.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the solution to the equation 3(x - 2) = 18?

Back

x = 8.

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.

Front

How do you apply the distributive property to the equation 3(x - 2)?

Back

Multiply 3 by both x and -2 to get 3x - 6.

Front

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

Back

x = 1.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 7x - 4 = 3.