Adding and Subtracting Rational Expressions in Algebra 2

The video tutorial covers adding and subtracting rational expressions, focusing on finding the least common denominator (LCD) and using prime factorization. It provides examples of basic fractions and rational expressions, demonstrating how to create equivalent fractions and combine numerators. The tutorial also includes complex examples and concludes with a summary of key points.

What is the first step in adding fractions with unlike denominators?

• Add the denominators directly

• Simplify the fractions

• Find the least common denominator

• Multiply the numerators

Which method is described as never failing for finding the least common denominator?

• Multiplication method

• Prime factorization method

• Division method

• Subtraction method

What is the least common denominator of 4, 9, and 3?

• 12

• 36

• 9

• 18

In the context of rational expressions, what does 'LCD' stand for?

• Least Composite Denominator

• Lowest Calculated Denominator

• Lowest Common Divisor

• Least Common Denominator

What is the LCD of 4x^2, 2x, and 8x?

• 4x^2

• 8x^2

• 2x

• 16x

When simplifying a rational expression, what should you always try to do with the numerator?

• Divide by the denominator

• Multiply by the denominator

• Factor it

• Convert it to a decimal

What is the LCD of x^2 - 4 and x + 2?

• x + 2

• x - 2

• (x + 2)(x - 2)

• x^2 - 4

How do you find the LCD of rational expressions with different denominators?

• By subtracting the denominators

• By multiplying the denominators

• By adding the denominators

• By finding the prime factorization

What happens to like terms when adding or subtracting rational expressions?

• They remain unchanged

• They are multiplied

• They cancel out

• They are combined

What is the result of subtracting a negative polynomial in rational expressions?

• A positive polynomial

• A negative polynomial

• The polynomial is divided

• The polynomial is unchanged