Solving 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 to the variable.

Front

What is the first step to solve the equation \( \frac{x}{7} - 8 = 16 \)?

Back

Add 8 to both sides of the equation to eliminate the constant term.

Front

What is the solution to the equation \( \frac{x}{7} - 8 = 16 \)?

Back

The solution is \( x = 168 \).

Front

How do you solve the equation \( \frac{7+x}{2} = 14 \)?

Back

Multiply both sides by 2 to eliminate the fraction, then subtract 7 to isolate x.

Front

What is the solution to the equation \( \frac{7+x}{2} = 14 \)?

Back

The solution is \( x = 21 \).

Front

What is the first step to solve the equation \( \frac{x+1}{3} = 2 \)?

Back

Multiply both sides by 3 to eliminate the fraction.

Front

What is the solution to the equation \( \frac{x+1}{3} = 2 \)?

Back

The solution is \( x = 5 \).

Front

How do you solve the equation \( 2x - 3 = 1 \)?

Back

Add 3 to both sides, then divide by 2 to isolate x.

Front

What is the solution to the equation \( 2x - 3 = 1 \)?

Back

The solution is \( x = 2 \).