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 the reverse order of how they are applied.

Front

What is the first step to solve the equation \( \frac{x}{3} - 7 = 19 \)?

Back

Add 7 to both sides of the equation to eliminate the constant term.

Front

What is the solution to the equation \( \frac{1}{5}x - 19 = -8 \)?

Back

The solution is \( x = 55 \). First, add 19 to both sides, then multiply by 5.

Front

What operation would you perform first to solve \( \frac{x}{7} - 12 = 8 \)?

Back

Add 12 to both sides of the equation.

Front

How do you solve the equation \( -3x - 18 = -63 \)?

Back

First, add 18 to both sides, then divide by -3.

Front

What is the value of \( x \) in the equation \( -x + 10 = -18 \)?

Back

The value of \( x \) is 28. First, subtract 10 from both sides, then multiply by -1.

Front

What does it mean to perform the inverse operation?

Back

An inverse operation reverses the effect of the original operation, such as addition and subtraction or multiplication and division.

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 general form of a two-step equation?

Back

The general form is \( ax + b = c \), where \( a \), \( b \), and \( c \) are constants.