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 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 first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides to isolate the term with the variable.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

Translate this sentence into an equation: 'Five less than a number is 15.'

Back

x - 5 = 15.

Front

What is the solution to the equation 3x = 12?

Back

x = 4.

Front

Translate this sentence into an equation: 'Four more than six times a number is 18.'

Back

4 + 6x = 18.

Front

What is the solution to the equation 4 + 6x = 18?

Back

x = 2.33 (or 7/3).

Front

What does it mean to have a fraction in an equation?

Back

Having a fraction in an equation means that the variable or constant is divided by a number, which may require multiplying both sides by that number to eliminate the fraction.