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 the reverse order of how they are applied.

Front

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

Back

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

Front

What is the second step in solving the equation 2x = 8?

Back

Divide both sides by 2 to find x = 4.

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 3b - 5 = -7?

Back

Add 5 to both sides to get 3b = -2, then divide by 3 to find b = -2/3.

Front

How do you check if your solution is correct?

Back

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

Front

What is the solution to the equation 4n + 8 = -4?

Back

Subtract 8 from both sides to get 4n = -12, then divide by 4 to find n = -3.

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a numerator over a denominator.

Front

How do you solve equations with fractions?

Back

Multiply both sides of the equation by the least common denominator (LCD) to eliminate the fractions.