Exploring Adding and Subtracting Rational Expressions

What are the two types of problems discussed in the introduction?

• Monomials and Polynomials

• Monomials and Binomials/Trinomials

• Binomials and Quadrinomials

• Polynomials and Trinomials

In Example 1, what is the first step in multiplying monomials?

• Multiply across the numerator and denominator

• Combine like terms

• Simplify the numerator

• Factor the expressions

What is the simplified form of 10a^3bD / 5aB^2 * a^2BC^2 / 4CD?

• a^4C / 2

• a^3C / 2

• a^5BC / 4

• a^4BC / 2

In Example 2, what is the first step in multiplying binomials/trinomials?

• Combine like terms

• Simplify the numerator

• Factor everything you can

• Multiply across the numerator and denominator

What is the factored form of x^2 - 16?

• (x + 4)(x - 2)

• (x + 2)(x - 8)

• (x + 8)(x - 2)

• (x + 4)(x - 4)

What is the simplified form of (x^2 - 16) / (2x + 8) * (x + 4) / (x^2 + 8x + 16)?

• (x + 4) / (x - 4)

• (x + 4) / (2(x - 4))

• (x - 4) / (2(x + 4))

• (x - 4) / (x + 4)

What is the simplified form of 3k^2 * k^2 / (2k * 12)?

• k^3 / 8

• k^4 / 8

• k^3 / 6

• k^4 / 6

What is the simplified form of 14c^5 / 2c^3?

• 7c^2

• 7c^3

• 14c^3

• 14c^2

What is the factored form of c^2 - 1?

• (c + 1)(c - 1)

• (c + 2)(c - 2)

• (c + 2)(c - 1)

• (c + 1)(c - 2)

What is the simplified form of (y^2 - 36) / (y^2 - 25)?

• (y - 6) / (y + 5)

• (y + 6) / (y + 5)

• (y + 6) / (y - 5)

• (y - 6) / (y - 5)