One and Two Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the inverse operation to isolate the variable.

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable, usually involving addition or subtraction followed by multiplication or division.

Front

How do you solve the equation x - 8 = -5?

Back

To solve x - 8 = -5, add 8 to both sides: x = -5 + 8, which simplifies to x = 3.

Front

What is the solution to the equation 3c + 5 = 23?

Back

To solve 3c + 5 = 23, first subtract 5 from both sides: 3c = 18. Then divide by 3: c = 6.

Front

How do you determine if x = 9 is a solution to an equation?

Back

To determine if x = 9 is a solution, substitute 9 into the equation and check if both sides are equal.

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 15 = 2a + 7?

Back

To solve 15 = 2a + 7, subtract 7 from both sides: 8 = 2a. Then divide by 2: a = 4.

Front

What is the first step in solving the equation 5x = 45?

Back

The first step is to divide both sides by 5 to isolate x: x = 45 / 5.

Front

What does it mean for an equation to have a solution?

Back

An equation has a solution if there is a value for the variable that makes the equation true.