Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the basics of monomials, including their definition and examples. It explains how to add, subtract, and multiply monomials by combining like terms and using the product rule. The tutorial provides numerous examples to illustrate these concepts and concludes with mixed practice problems to reinforce learning.

Which of the following is a monomial?

• 2x - 5

• 3x^2

• x^2 + y^2

• 5x + 3

What is the result of adding 19x and -24x?

• 43x

• -5x

• 5x

• -43x

Combine the like terms: -19k^2 + 2k^2.

• 17k^2

• -21k^2

• 21k^2

• -17k^2

What is the result of subtracting 15m^2n^4 from -15m^2n^4?

• 0

• -30m^2n^4

• 30m^2n^4

• -15m^2n^4

Find the sum of 14z^2 and -9z^2.

• 5z^2

• -5z^2

• -23z^2

• 23z^2

What is the product of x^4 and x^2?

• x^6

• x^8

• x^4

• x^2

Multiply: 3x^3 * 7x^2.

• 10x^5

• 10x^6

• 21x^6

• 21x^5

What is the result of multiplying 5 * -3 * 4?

• -60

• 15

• 60

• -15

Simplify: 6x^5y * 2x^4y^3.

• 8x^9y^3

• 8x^9y^4

• 12x^9y^3

• 12x^9y^4

Combine the like terms: 17m^6n^11 - 20m^6n^11.

• -37m^6n^11

• 37m^6n^11

• -3m^6n^11

• 3m^6n^11