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

What is the first step to solve the equation \(\frac{2}{5}h + 6 = 8\)?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the solution to the equation \(-3x - 12 = 15\)?

Back

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

Front

How do you solve for \(f\) in the equation \(5 = f - 2\)?

Back

Add 2 to both sides to find \(f = 7\).

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

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

Back

The solution is \(t = 40\).

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 \(3 = \frac{c}{-11}\)?

Back

The solution is \(c = -33\).

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to the variable, allowing us to isolate it.