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 = 2(x + 3)?

Back

Distribute the 2 to both terms inside the parentheses: 4 = 2x + 6.

Front

How do you isolate a variable in an equation?

Back

Perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

Solve for x: 4 - 2(x - 3) = 24

Back

x = -7.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

x = -1.

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

Solve for v: 3v = 45

Back

v = 15.