Algebra 1: Adding and Subtracting Polynomials

This video tutorial covers the basics of adding and subtracting polynomials in Algebra 1. It explains how to identify like terms and perform operations on them, using examples to illustrate the process. The tutorial also addresses more complex problems, emphasizing the importance of the distributive property when subtracting polynomials. By the end, viewers should be comfortable with these operations and ready to tackle more advanced problems.

What is the first step in adding or subtracting polynomials?

• Combine all terms regardless of their variables.

• Divide the terms by their coefficients.

• Identify and combine like terms.

• Multiply the coefficients of the terms.

In the expression 5y - 3 + 2y + 9, what are the like terms?

• 3 and 9

• 2y and 3

• 5y and 2y

• 5y and 9

What is the result of adding the polynomials 5y - 3 and 2y + 9?

• 5y + 2y

• 3y + 6

• 7y + 12

• 7y + 6

When adding 3x + 8 and 2x - 5, what is the sum of the x terms?

• 8x

• 2x

• 5x

• 3x

What is the final result of adding 3x + 8 and 2x - 5?

• 2x + 3

• 5x + 13

• 5x + 3

• 3x + 3

In the expression 2r - 3x + 5 + (-r + 3x - 2), what happens to the x terms?

• They add up to 6x

• They cancel each other out

• They remain unchanged

• They become -6x

What is the result of adding 2r - 3x + 5 and -r + 3x - 2?

• r + 3

• 2r - 3

• r - 3

• 2r + 3

When subtracting polynomials, what must you remember to do with the negative sign?

• Multiply it by the entire expression

• Distribute it to each term in the second polynomial

• Add it to the first term

• Ignore it completely

What is the result of subtracting x - 2 from 2x - 5?

• x - 3

• 3x - 7

• x + 3

• 3x + 7

What is the final result of subtracting x - 2t - 3 from 5x - 3t - 7?

• 4x + t + 4

• 6x - 5t - 10

• 4x - t - 4

• 5x - 3t - 7