Solve Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.

Front

What is the first step to solve the equation 4(5 - x) = 8?

Back

Distribute the 4 to both terms inside the parentheses: 20 - 4x = 8.

Front

What do you do after distributing in an equation?

Back

Combine like terms and isolate the variable by performing inverse operations.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to move all terms involving the variable to one side and constant terms to the other.

Front

What is the solution to the equation -8x = -96?

Back

x = 12.

Front

How do you solve the equation 4 + k/2 = -3?

Back

Subtract 4 from both sides to get k/2 = -7, then multiply both sides by 2 to find k = -14.

Front

What is the solution to the equation 4(x + 9) = 20?

Back

x = -4.

Front

How do you solve the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to get 2x - 3 = 36, then add 3 and divide by 2 to find x = 19.5.

Front

What does it mean to combine like terms?

Back

To add or subtract terms that have the same variable raised to the same power.