Solving Rational Equations with Least Common Denominator

This video tutorial focuses on solving rational equations. It begins with an introduction to rational equations and demonstrates how to solve them by clearing fractions and finding the least common multiple. The tutorial progresses to solving equations using cross multiplication and square roots. It covers more complex equations, emphasizing factoring techniques. The video concludes with a final example, summarizing the methods used to solve rational equations.

What is the least common multiple used to clear the fractions in the first example?

• 8

• 10

• 20

• 40

What are the solutions to the quadratic equation example?

• x = -4, x = 2

• x = 4, x = -2

• x = 4, x = 2

• x = -4, x = -2

What is the value of x in the equation involving cross multiplication with 12 and 3?

• x = 5

• x = 6

• x = 12

• x = 3

What are the solutions when solving the equation with square roots?

• x = 6

• x = ±6

• x = -6

• x = ±12

What is the solution to the equation after cross multiplying with 4x + 8 and 9x - 27?

• x = 7

• x = 0

• x = -7

• x = 14

What is the value of x when solving the equation involving x plus two divided by three plus four?

• x = 1

• x = 2

• x = 4

• x = 3

What is the common denominator used in the equation with 4 divided by x plus 8 divided by x plus 2?

• 4x

• x

• x + 2

• x(x + 2)

What are the solutions to the equation after factoring x squared minus x minus 2?

• x = -2, x = -1

• x = -2, x = 1

• x = 2, x = 1

• x = 2, x = -1

What is the first step in solving the last example involving x over x plus 5 minus 5 over x minus 5?

• Factor x squared minus 25

• Multiply both sides by x

• Add 5 to both sides

• Subtract x from both sides

What are the solutions to the final equation after factoring and solving?

• x = -13, x = 3

• x = 13, x = 3

• x = -13, x = -3

• x = 13, x = -3