Solving Linear and Quadratic Equations

The video tutorial teaches how to solve rational equations by cross-multiplying. It begins with an introduction to the method, followed by two examples. The first example demonstrates solving a simple rational equation, while the second involves a quadratic equation. The tutorial explains factoring and finding solutions, and concludes with checking for extraneous solutions.

What is the first step in solving rational equations using cross multiplication?

• Divide both sides by the numerator.

• Subtract the denominators.

• Cross multiply the terms.

• Add the numerators together.

What is the purpose of cross multiplying in rational equations?

• To find the least common denominator.

• To simplify the numerators.

• To eliminate the denominators.

• To add fractions.

In the first example, what do you multiply 9 by?

• 4X plus 5

• X plus 2

• X plus 1

• 3X plus 4

What is the result of distributing 9 times (X + 1)?

• 9X + 1

• 9X + 5

• 9X + 9

• 9X + 10

What is the result of 3 times (4X + 5) in the first example?

• 12X + 5

• 12X + 15

• 12X + 20

• 12X + 25

How do you isolate the variable x in the equation 9X + 9 = 12X + 15?

• Add 9 to both sides.

• Subtract 9X from both sides.

• Multiply both sides by 3.

• Divide both sides by 9.

What is the final value of X in the first example?

• X = -2

• X = 2

• X = -3

• X = 3

What is the result of subtracting 9X from both sides in the first example?

• 3X

• 6X

• 12X

• 15X

What is the result of subtracting 15 from both sides in the first example?

• -15

• -9

• -6

• -12

What is the purpose of dividing both sides by 3 in the first example?

• To find the least common multiple.

• To eliminate the denominator.

• To isolate the variable X.

• To simplify the equation.