Solving 2-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

What is the first step to solve the equation x + 5 = 8?

Back

Subtract 5 from both sides of the equation to isolate x.

Front

What is the solution to the equation -18 - 11x = 26?

Back

First, add 18 to both sides to get -11x = 44, then divide by -11 to find x = -4.

Front

How do you solve the equation 3w + 7 = 19?

Back

Subtract 7 from both sides to get 3w = 12, then divide by 3 to find w = 4.

Front

What is the process to solve the equation a/3 + 4 = 6?

Back

Subtract 4 from both sides to get a/3 = 2, then multiply both sides by 3 to find a = 6.

Front

How do you solve the equation 2g - 13 = 3?

Back

Add 13 to both sides to get 2g = 16, then divide by 2 to find g = 8.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

Why is it important to perform the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.