Solving Equations: Adding and Subtracting Rational Expressions

This video covers the fundamentals of solving various types of equations, including linear and quadratic equations.

What is the first step in solving big equations with denominators?

• Find the least common multiple

• Add all the denominators

• Subtract the smallest denominator from the largest

• Find the greatest common divisor

Which of the following is the least common multiple of 4, 2, and 28?

• 8

• 14

• 56

• 28

How do you find the least common multiple using a TI graphing calculator?

• Use the 'GCD' function

• Use the 'LCM' button

• Use the 'factor' function

• Go to the 'num' menu and choose number eight

What happens when you multiply each term by the least common multiple?

• The terms are divided by the LCM

• The equation becomes more complex

• The fractions are eliminated

• The denominators become larger

What is the result of combining 119b and -98b?

• 21b

• 217b

• 17b

• -21b

What is the next step after combining like terms in an equation?

• Find the LCM again

• Use addition and subtraction properties

• Divide all terms by the LCM

• Multiply all terms by 2

What is the simplified form of 30 divided by 21?

• 10/7

• 5/3

• 7/10

• 3/5

What is the least common multiple of 3 and 6?

• 12

• 9

• 3

• 6

What should you do if you encounter fractions after distributing terms?

• Add the fractions together

• Divide each term by the LCM

• Multiply each term by the LCM again

• Ignore the fractions

What is the final step in solving an equation after handling fractions?

• Divide all terms by the LCM

• Add all terms together

• Multiply all terms by 2

• Check your work