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 first step in solving a multistep equation with fractions?

Back

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

Front

If 1/2x + 3 = 9, what is the value of x?

Back

x = 12.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the least common denominator (LCD) of 1/3 and 1/4?

Back

The LCD of 1/3 and 1/4 is 12.

Front

How do you check your solution in a multistep equation?

Back

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

Front

What is the solution to the equation 2(x - 3) = 4?

Back

x = 7.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

If 3/5x = 12, what is the value of x?

Back

x = 20.