Adding and Subtracting Rational Expressions

This video tutorial covers the addition and subtraction of rational expressions, focusing on finding the lowest common multiple (LCM) for monomials and factoring expressions with sums and differences. It explains how to add algebraic expressions with unlike denominators and simplifies complex fractions using common denominators. The tutorial provides step-by-step examples and encourages viewers to practice the concepts discussed.

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

• Find the lowest common denominator

• Multiply the fractions

• Subtract the smaller denominator from the larger one

• Add the numerators directly

What is the lowest common multiple of 15, 16, and 20?

• 360

• 240

• 120

• 60

When finding the LCM of variables, which degree should you take?

• The lowest degree

• The sum of the degrees

• The highest degree

• The product of the degrees

What is the LCM of 6, 9, and 4?

• 18

• 24

• 36

• 48

How do you factor the expression x^3 - x^2 - 2x?

• x(x^2 + x - 2)

• x(x - 1)(x + 2)

• x(x - 2)(x + 1)

• x(x^2 - x - 2)

What is the LCM of the expressions x^2 + 2x - 3 and x^2 + 6x + 9?

• x(x + 3)(x - 1)

• x(x + 3)^2(x - 1)

• x(x + 3)(x - 2)

• x(x + 2)^2(x - 1)

What is the least common denominator of 6 and 14?

• 84

• 42

• 28

• 56

How do you simplify the expression 35a^4b + 27 / 42a^2b^2?

• 35a^3b + 27 / 42a^2b^2

• 35a^4b + 27 / 42ab

• 35a^4 + 27 / 42a^2b^2

• 35a^4b + 27 / 42a^2b^2

What is the simplified form of the expression 2x + 20 / 6(x - 5) - 3x + 15 / 6(x - 5)?

• x - 5 / 6

• -x + 5 / 6(x - 5)

• x - 5 / 6(x - 5)

• -x + 5 / 6

What is the common denominator for the complex fraction a/b + b/a divided by a/b - b/1?

• a

• a^2b

• b

• ab