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 -3x + 2 = 14?

Back

Subtract 2 from both sides to get -3x = 12.

Front

What is the solution to the equation 5x - 9 = 21?

Back

The solution is x = 6.

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 does it mean to combine like terms in an expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the simplified form of the expression 2(4x + 3) + 8x?

Back

The simplified form is 16x + 6.

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

How do you solve the equation -6x - 4 = 56?

Back

Add 4 to both sides to get -6x = 60, then divide by -6 to find x = -10.