Solving Multistep equations with fractions

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as 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 the equation 2/3x + 5 = 11?

Back

Subtract 5 from both sides to isolate the term with the variable: 2/3x = 6.

Front

What does it mean to isolate the variable in an equation?

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

What is the solution to the equation 5m - 3 = 4m + 7?

Back

m = 10.

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

What is the least common denominator (LCD) of 1/2 and 1/3?

Back

The LCD is 6.

Front

Solve for x: 3/4x = 9. What is x?

Back

x = 12.

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as the original equation.

Front

How do you combine like terms in an equation?

Back

Add or subtract the coefficients of the same variable terms to simplify the equation.