2 Step Equations with 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 the inverse operations in the reverse order of operations.

Front

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

Back

Subtract 2 from both sides to begin isolating the variable.

Front

What is the solution to the equation \( -\frac{2}{3}x = 6 \)?

Back

The solution is \( x = -9 \).

Front

How do you eliminate a fraction in an equation?

Back

Multiply both sides of the equation by the denominator of the fraction.

Front

What is the solution to the equation \( \frac{1}{5}y - 3 = 7 \)?

Back

The solution is \( y = 50 \).

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation.

Front

How do you solve the equation \( 15 + \frac{w}{4} = 28 \)?

Back

Subtract 15 from both sides, then multiply by 4 to isolate \( w \).

Front

What is the solution to the equation \( -0.3 = 2g - 4.9 \)?

Back

The solution is \( g = 2.3 \).

Front

What does it mean to have a negative solution in an equation?

Back

A negative solution indicates that the variable's value is less than zero, which can have specific interpretations depending on the context.