Solving Multistep Equations

Front

What is a multistep equation?

Back

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

Front

What is the first step in solving the equation 4(x + 2) = 20?

Back

Distribute the 4 to both terms inside the parentheses.

Front

How do you isolate the variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean to 'distribute' in algebra?

Back

To multiply each term inside parentheses by the factor outside the parentheses.

Front

Solve the equation: 3x + 5 = 20.

Back

x = 5.

Front

What is the solution to the equation 2(x - 3) + 4 = 10?

Back

x = 10.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

Solve the equation: 5x - 2 = 3x + 6.

Back

x = 4.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides.

Front

What does it mean to 'isolate' a variable?

Back

To get the variable by itself on one side of the equation.