Exploring Adding and Subtracting Rational Expressions

The video tutorial covers simplifying, multiplying, and dividing rational expressions. It begins with defining rational expressions as ratios of polynomials and outlines steps for simplification, including factoring, using exponent rules, and eliminating common factors. The tutorial provides examples for each operation, demonstrating how to handle monomials, binomials, and trinomials. It also explains the process of dividing rational expressions by multiplying by the reciprocal, with detailed examples and common pitfalls to avoid.

What is the first step in simplifying a rational expression?

• Add the numerator and denominator

• Multiply the numerator and denominator

• Factor everything that can be factored

• Combine like terms

Tags

CCSS.HSA.APR.D.6

When simplifying 20x^6 / 14x^2, what is the common factor of 20 and 14?

• 7

• 4

• 2

• 5

Tags

CCSS.HSA.APR.D.6

In the expression y + 8 / y^2 + 2y - 48, what is the factored form of the denominator?

• (y + 2)(y - 24)

• (y + 8)(y - 6)

• (y + 4)(y - 12)

• (y + 6)(y - 8)

Tags

CCSS.HSA.APR.D.6

What is the final simplified form of p^2 - 49 / 7 - p?

• -(p - 7)

• -(p + 7)

• p - 7

• p + 7

Tags

CCSS.HSA.APR.D.6

What should you do first when multiplying rational expressions?

• Add the numerators

• Combine like terms

• Factor everything you can

• Subtract the denominators

Tags

CCSS.HSA.APR.D.7

When multiplying 6x^2 * 10x^3, what is the resulting power of x?

• x^5

• x^6

• x^4

• x^3

Tags

CCSS.HSA.APR.A.1

What is the simplified form of 20 / 180?

• 1/8

• 1/9

• 1/10

• 1/12

What is the first step in dividing rational expressions?

• Combine like terms

• Subtract the fractions

• Multiply by the reciprocal

• Add the fractions

Tags

CCSS.HSA.APR.D.6

In the expression 5pq / 16p^3 divided by 35p^2q^2 / 8q^5, what is the reciprocal of the second term?

• 5pq / 16p^3

• 16p^3 / 5pq

• 35p^2q^2 / 8q^5

• 8q^5 / 35p^2q^2

Tags

CCSS.HSA.APR.D.6

What is the simplified form of 10 / 4x - 8?

• 5 / 2x - 4

• 5 / 2x

• 5 / 4x - 2

• 5 / 4x

Tags

CCSS.HSA.APR.D.6