Solving 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. It typically involves isolating the variable by performing an inverse operation twice.

Front

How do you solve the equation 2x - 3 = 1?

Back

Add 3 to both sides: 2x = 4. Then divide by 2: x = 2.

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Back

Multiply both sides by 2 to eliminate the fraction: 7 + x = 28.

Front

How do you isolate x in the equation 15 = 2a + 7?

Back

Subtract 7 from both sides: 8 = 2a. Then divide by 2: a = 4.

Front

Back

Multiply both sides by 3: x + 1 = 6. Then subtract 1: x = 5.

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Back

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the solution to the equation 2x + 5 = 13?

Back

Subtract 5 from both sides: 2x = 8. Then divide by 2: x = 4.