Solving Two-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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the second step to solve the equation 2x = 8?

Back

Divide both sides by 2 to get x = 4.

Front

Solve the equation 3x - 5 = 16.

Back

x = 7.

Front

What does it mean to 'undo' an operation in solving equations?

Back

'Undoing' an operation means performing the opposite operation to isolate the variable.

Front

How do you solve the equation 1/2x + 3 = 7?

Back

First, subtract 3 from both sides to get 1/2x = 4, then multiply both sides by 2 to get x = 8.

Front

What is the solution to the equation 4/5x = 12?

Back

x = 15.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.

Front

Solve the equation 5x/3 = 25.

Back

x = 15.