Exploring Adding and Subtracting Rational Expressions

What is a monomial?

• A sum of two terms

• A polynomial with three terms

• A number, a variable, or a product of a number and variable(s)

• A product of two binomials

How do you add or subtract binomials?

• By changing the variables and exponents

• By multiplying the coefficients

• By combining like terms without changing variables or exponents

• By dividing the coefficients

What is the result of combining 7M² and -9M²?

• -16M²

• 2M²

• -2M²

• 16M²

What is the product rule for multiplying binomials?

• Subtract the exponents if the bases are the same

• Add the exponents if the bases are the same

• Divide the exponents if the bases are different

• Multiply the exponents if the bases are different

What is 4³ * 4⁸?

• 4⁵

• 4¹¹

• 4⁶

• 4²⁴

What is the simplified form of (15 * 15⁶)?

• 15¹

• 15⁸

• 15⁶

• 15⁷

How do you handle negative exponents when multiplying binomials?

• Keep the negative exponents as they are

• Convert them to positive exponents by taking the reciprocal

• Add the negative exponents directly

• Ignore the negative exponents

What is the result of multiplying 2 * -7 * 3?

• -14

• 14

• 42

• -42

What is the result of combining -12 and 1/3?

• -4

• 3

• 4

• -3

What is the result of 18M⁷N⁴ - 12M⁷N⁴?

• 6M⁶N⁴

• 30M⁶N⁴

• 30M⁷N⁴

• 6M⁷N⁴