Solving One-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 involving addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation \( \frac{p}{3} = -6 \)?

Back

The solution is \( p = -18 \). You multiply both sides by 3.

Front

What is the solution to the equation \( \frac{c}{-8} = 12 \)?

Back

The solution is \( c = -96 \). You multiply both sides by -8.

Front

How do you solve the equation \( 10 = k + 19 \)?

Back

Subtract 19 from both sides to get \( k = -9 \).

Front

What is the solution to the equation \( 3w = 15 \)?

Back

The solution is \( w = 5 \). You divide both sides by 3.

Front

What is the solution to the equation \( -11b = -44 \)?

Back

The solution is \( b = 4 \). You divide both sides by -11.

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 maintains the equality of the equation.