Adding and Subtracting Rational Expressions Explained

Why is adding and subtracting rational expressions more tedious than multiplying them?

• Because it involves more complex arithmetic.

• Because it requires converting to improper fractions.

• Because it requires finding common denominators.

• Because it involves factoring the numerators.

What is the first step in adding or subtracting rational expressions?

• Multiplying the fractions.

• Finding the least common multiple of the numerators.

• Simplifying the numerators.

• Getting a common denominator.

How does x^2 - 64 factor?

• (x + 8)(x - 8)

• (x - 8)(x - 8)

• (x + 4)(x - 4)

• (x + 8)(x + 8)

What should you do if a factor is missing in one of the denominators?

• Add the missing factor to the numerator.

• Ignore the missing factor.

• Subtract the missing factor from the denominator.

• Multiply the numerator and denominator by the missing factor.

What is the common denominator for the fractions with denominators (x + 8)(x - 8) and (x + 8)?

• (x + 8)(x + 8)

• (x + 8)(x + 4)

• (x + 8)(x - 8)

• (x - 8)(x - 8)

What operation is performed after obtaining a common denominator?

• Adding the numerators.

• Subtracting the denominators.

• Multiplying the fractions.

• Dividing the numerators.

What is the result of distributing 3 to (x - 8) in the numerator?

• 3x - 8

• 3x + 24

• 3x - 24

• 3x + 8

What is the simplified form of 7 - 24?

• -31

• -17

• 31

• 17

What is the final simplified numerator in the expression?

• 3x + 17

• 3x - 17

• 3x - 24

• 3x + 24

What is the final form of the denominator in the simplified rational expression?

• x^2 + 64

• x^2 - 64

• x^2 + 8

• x^2 - 8