Solve Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Solve for x: 0.4x + 13 = 3

Back

x = -25

Front

What is the first step to solve the equation 0.4x + 13 = 3?

Back

Subtract 13 from both sides to isolate the term with x.

Front

Solve for x: -1.5x - 14 = -20

Back

x = 4

Front

What is the first step to solve the equation -1.5x - 14 = -20?

Back

Add 14 to both sides to isolate the term with x.

Front

What does it mean to 'undo' an operation in algebra?

Back

To 'undo' an operation means to perform the opposite operation to reverse the effect of the original operation.

Front

What is the inverse of addition?

Back

The inverse of addition is subtraction.

Front

What is the inverse of multiplication?

Back

The inverse of multiplication is division.

Front

If you have the equation x + 5 = 10, what is the first step to solve for x?

Back

Subtract 5 from both sides.