Solving Rational Equations: Key Concepts and Techniques

Mr. Whit from Fort Bend Tutoring explains how to solve rational equations by eliminating fractions using common denominators. He demonstrates solving multiple problems, highlighting the importance of checking for extraneous solutions. The tutorial covers methods like cross-multiplication and factoring, emphasizing the need to avoid zero in denominators. The video concludes with a call to subscribe and explore additional resources.

What is the first step in solving a rational equation?

• Add all fractions together

• Divide each term by the largest fraction

• Multiply each term by the common denominator

• Subtract the smallest fraction

In the first example, what is the common denominator used?

• 2X

• 4

• 4X

• 2

What should you be cautious of when solving rational equations?

• Negative solutions

• Extraneous solutions

• Positive solutions

• Complex solutions

In the second example, what type of equation is formed after eliminating the denominators?

• Linear equation

• Quadratic equation

• Cubic equation

• Exponential equation

What is the lowest common denominator in the second example?

• x

• 3x + 1

• 2x

• x * 3x + 1

What method is used to solve the third example problem?

• Graphing

• Elimination

• Cross-multiplication

• Substitution

In the fourth example, what is the factored form of the denominator x^2 - 16?

• (x + 1)(x - 1)

• (x + 8)(x - 8)

• (x + 2)(x - 2)

• (x + 4)(x - 4)

What is the solution to the fourth example problem?

• 1

• 4

• -4

• -1

In the fifth example, what is the common denominator used?

• 3

• y - 1

• 12

• 12 * (y - 1)

What is the solution to the sixth example problem?

• No solution

• -2

• 2

• 1