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 an 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 both addition/subtraction and multiplication/division.

Front

How do you solve the equation x - 32 = 49?

Back

To solve x - 32 = 49, add 32 to both sides: x = 49 + 32, which simplifies to x = 81.

Front

What is the first step to solve the equation 6b = 30?

Back

The first step is to divide both sides by 6 to isolate b: b = 30 / 6, which simplifies to b = 5.

Front

How do you isolate x in the equation 17 = x + 3?

Back

To isolate x, subtract 3 from both sides: x = 17 - 3, which simplifies to x = 14.

Front

What operation do you perform to solve x ÷ 2 = 12?

Back

To solve x ÷ 2 = 12, multiply both sides by 2 to isolate x: x = 12 * 2, which simplifies to x = 24.

Front

How do you solve the equation 0 = 8z + 8?

Back

To solve 0 = 8z + 8, first subtract 8 from both sides: -8 = 8z, then divide by 8: z = -1.

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

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable alone on one side of the equation.