Adding & Subtracting Polynomials

Combine Like Terms

TRUE or FALSE

These are LIKE TERMs.

3x and 3x²

• True

• False

Combine Like Terms

Simplify the polynomial by combining like terms.

2r + 5r³ + 7r + 5 + r³

• 7r³ + 7r² + 7

• 6r³ + 7r + 5

• 12r³ + 9r - 5

• 6r³ + 9r + 5

Put the terms in Standard Order. (List the exponents from highest to lowest.)

• x⁸

• 7x⁵

• 8x⁴

• 12x²

• x

Add the following polynomials.

Select the correct answer.

( 3x⁴ + 5x - 4 ) + ( 4x⁴ - x + 14 )

• 12x⁴ - 5x + 10

• 7x⁴ + 4x + 10

• x⁴ + 6x - 10

• -x⁴ + 5x + 10

Add the polynomials. Select the correct answer.

( -x² + 9x ) + ( 2x² - x )

• x² + 8x

• 8x² + x

• 3x² + 9x

• x² + x

Add the polynomials. Select the correct answer.

( 4xy - 2x - 3y ) + ( 6y + 6x + 5xy )

• 20xy - 12x - 18y

• 2xy - 2x - 2y

• xy + x + y

• 9xy + 4x + 3y

What does the word "equivalent" mean?

• opposite

• different

• equal

• quirky

What are the like terms in the following

( 5rt - 3rw - 8tw) + ( 6rt - 4rw + 2tw )

(Match the letters exactly).

• 5rt & 6rt

  -3rw & -4rw

  -8tw & 2tw

• 5rt & -4rw

  -3rw & 2tw

  -8tw & 6rt

Which expression is equivalent to

( 5rt - 3rw - 8tw) + (6rt - 4rw + 2tw) ?

• 11rt + rw - 10tw

• 11rt - 7rw - 6tw

• 11rt + rw - 6tw

• 11rt - 7rw - 10tw

Which expression is equivalent to ( 10 + 7r - r² ) + ( -6r² - 18 + 5r ) ?

• -7r² + 2r + 8

• 7r² + 12r + 8

• -7r² + 12r - 8

• 7r² + 2r - 8