Multistep equations with fractions step 2

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you clear fractions from an equation?

Back

To clear fractions, multiply every term in the equation by the least common denominator (LCD) of all the fractions present.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

Solve for m: 2/3m + 4 = 10

Back

m = 9.

Front

What is the first step in solving a multistep equation with fractions?

Back

The first step is often to eliminate the fractions by multiplying through by the least common denominator.

Front

Solve for x: 1/2x - 3 = 5

Back

x = 16.

Front

What does it mean to isolate the variable?

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for x: 3(x - 2) = 12

Back

x = 8.

Front

What is the importance of checking your solution?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

Solve for x: 4/5x + 1 = 3

Back

x = 2.5.