Two-Step Equations (Positive Rational Numbers)

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. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, perform the inverse operations in the reverse order of how they are applied. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What is the first step to solve the equation m + 8.515 = 13.015?

Back

The first step is to subtract 8.515 from both sides of the equation to isolate m.

Front

What is the solution to the equation 0.05 = x/8 - 1.4?

Back

The solution is x = 11.6. First, add 1.4 to both sides, then multiply by 8.

Front

How do you solve the equation x/4 - 2 = 4?

Back

Add 2 to both sides to get x/4 = 6, then multiply both sides by 4 to find x = 24.

Front

What is the process to solve for s in the equation 9 = 2s + 1?

Back

Subtract 1 from both sides to get 8 = 2s, then divide by 2 to find s = 4.

Front

How do you solve the equation x/2 + 2 = 8?

Back

Subtract 2 from both sides to get x/2 = 6, then multiply both sides by 2 to find x = 12.

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 of an equation maintains the equality, ensuring that the equation remains balanced.