Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

What does it mean to isolate the variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15.

Front

What is the solution to the equation 4x - 8 = 0?

Back

x = 2.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation, often resulting in a false statement.

Front

What is the solution to the equation 2a + 3 = 11?

Back

a = 4.

Front

What is the first step in solving the equation 5(x - 2) = 15?

Back

Distribute 5 to both x and -2.

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value for the variable that satisfies the equation.

Front

What is the solution to the equation -15 = 5a + 12 - 2a + 6?

Back

a = -11.

Front

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

Back

To simplify the equation and make it easier to solve.