PA-U3.3f Lesson Check: Two Step Equations w/ Fractions

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 \( \frac{x}{7} + 15 = 8 \)?

Back

Subtract 15 from both sides to isolate the term with the variable.

Front

What is the solution to the equation \( \frac{x}{7} + 15 = 8 \)?

Back

x = -49.

Front

How do you solve the equation \( -4 = \frac{1}{2}w + 5 \)?

Back

Subtract 5 from both sides to isolate the term with w.

Front

What is the solution to the equation \( -4 = \frac{1}{2}w + 5 \)?

Back

w = -18.

Front

What is the first step to solve the equation \( \frac{5}{8}x + 2 = 17 \)?

Back

Subtract 2 from both sides.

Front

What is the solution to the equation \( \frac{5}{8}x + 2 = 17 \)?

Back

x = 24.

Front

How do you handle fractions in two-step equations?

Back

You can multiply both sides of the equation by the denominator to eliminate the fraction.

Front

What is the solution to the equation \( \frac{9}{4} = x \)?

Back

x = 9/4.