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

What is the first step to solve the equation x - 4 = 12?

Back

Add 4 to both sides of the equation to isolate x.

Front

If Michelle has $300 and spends $40 per dress, how can you set up an equation to find the number of dresses she bought?

Back

Let d be the number of dresses. The equation is 300 - 40d = 140.

Front

What is the solution to the equation 2x + 6 = 14?

Back

Subtract 6 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

How do you check if your solution to a two-step equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation -3x + 5 = -13?

Back

Subtract 5 from both sides to get -3x = -18, then divide by -3 to find x = 6.

Front

What does it mean to 'solve for w' in the equation -6w + 1 = -11?

Back

It means to find the value of w that makes the equation true.

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.