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

What is the first step in solving the equation 1 = 1 + 6b + 2b?

Back

Combine like terms on the right side: 1 = 1 + 8b.

Front

What is the solution to the equation 1 = 1 + 6b + 2b?

Back

The solution is b = 0.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27, then add 3 to both sides and divide by 6 to find x = 5.

Front

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

Back

The solution is x = 5.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

How do you solve the equation 8v - 4(v + 8) = 8?

Back

Distribute -4: 8v - 4v - 32 = 8, then combine like terms and solve for v.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

How do you solve the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides: x/3 = 5, then multiply both sides by 3 to find x = 15.