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 isolate a variable in an equation?

Back

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

Front

What does it mean to have no solution in an equation?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

What is the first step in solving the equation 3(3x - 6) = 18?

Back

Distribute the 3 to both terms inside the parentheses.

Front

Solve the equation: 3(3x - 6) = 18.

Back

x = 4.

Front

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

Back

To simplify the equation and make it easier to solve.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

Solve the equation: 3x + 2(4x - 4) = 3.

Back

x = 1.

Front

What is the solution to the equation 38 + 7k = 8(k + 4)?

Back

k = 6.

Front

What is the significance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.