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 the inverse operations in reverse order: first eliminate the constant term, then the coefficient of the variable.

Front

What is the first step to solve the equation \( \frac{1}{4}x + 12 = -9 \)?

Back

Subtract 12 from both sides to isolate the term with the variable.

Front

What is the solution to the equation \( -3x - 18 = -63 \)?

Back

The solution is \( x = 27 \). First, add 18 to both sides, then divide by -3.

Front

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

Back

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

Front

How do you solve the equation \( \frac{x-17}{5} = 5 \)?

Back

Multiply both sides by 5 to eliminate the fraction, then add 17 to both sides to isolate x.

Front

What is the solution to the equation \( \frac{x+5}{2} = 10 \)?

Back

The solution is \( x = 25 \). First, multiply both sides by 2, then subtract 5.

Front

What is the importance of checking your solution in a two-step equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

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.