Two-Step Equation

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 in solving a two-step equation?

Back

Move the constant term to the right-hand side.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

What is the reciprocal of \( \frac{2}{5} \)?

Back

The reciprocal of \( \frac{2}{5} \) is \( \frac{5}{2} \).

Front

In the equation \( \frac{2}{5}h + 6 = 8 \), what is the first step to isolate \( h \)?

Back

Subtract 6 from both sides.

Front

What is the solution to the equation \( 6p - 5 = 13 \)?

Back

The solution is \( p = 3 \).

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to move terms to the opposite side of the equation.

Front

What is the new equation after moving the positive 3 to the right side in \( 7x + 3 = 38 \)?

Back

The new equation is \( 7x = 35 \).

Front

What operation would you perform to both sides of the equation \( 2x + 4 = 10 \) to start solving for \( x \)?

Back

Subtract 4 from both sides.

Front

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

Back

Inverse operations are used to undo operations and isolate the variable.