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 inverse operations in the reverse order of operations used in the equation.

Front

What is the first step to solve the equation \( \frac{x+23}{4}=8 \)?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

What is the solution to the equation \( \frac{x-17}{5}=5 \)?

Back

The solution is x = 25.

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 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

Solve the equation \( 4x - 16 = 48 \). What is x?

Back

x = 16.

Front

What does it mean to 'clear the fraction' in an equation?

Back

To clear the fraction means to eliminate the fraction by multiplying both sides of the equation by the denominator.

Front

What is the solution to the equation \( -x + 10 = -18 \)?

Back

The solution is x = 28.