Lesson Check: Solving 2 step equations with rational numbers

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 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 first step in solving the equation -3/4 x + 1/2 = 3/8?

Back

Subtract 1/2 from both sides.

Front

What is the solution to the equation -3/4 x + 1/2 = 3/8?

Back

x = 1/6.

Front

What does it mean to check your answer in an equation?

Back

Checking your answer means substituting the solution back into the original equation to verify it holds true.

Front

What is the solution to the equation 7(9 + k) = 84?

Back

k = 3.

Front

What is the process to solve the equation 5b - 6 = 24?

Back

Add 6 to both sides and then divide both sides by 5.

Front

What is the solution to the equation 5b - 6 = 24?

Back

b = 6.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers.

Front

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

Back

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