Skills · Polynomials · Polynomial Operations
Adding and subtracting polynomials
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- adding two trinomials: (3x² + 2x − 5) + (x² − 4x + 1)
- subtracting a trinomial: (5x² − 3x + 2) − (2x² + x − 7)
- a power missing from one: (4x³ + 2x − 1) − (x³ + 3x² − 5)
- two letters: (2x² + 3xy − y²) − (x² − xy + 4y²)
Sample Sheet · Level 1
- (3x² − 9x + 5) − (x² + 5x − 8) =
- (3x² + 6x − 9) − (6x² − 2x − 8) =
- (5x² − 9x + 4) + (7x² + 5x − 1) =
- (6x² + 9x − 5) + (7x² + 8x + 6) =
- (4x² + 7x − 7) + (x² − 9x + 4) =
- (8x² + 2x + 5) + (2x² − x − 1) =
- (2x² − 4x + 8) − (x² − 9x + 1) =
- (2x² − 2x − 7) − (4x² + 6x − 3) =
Answer key
- 2x² − 14x + 13
- −3x² + 8x − 1
- 12x² − 4x + 3
- 13x² + 17x + 1
- 5x² − 2x − 3
- 10x² + x + 4
- x² + 5x + 7
- −2x² − 8x − 4
Sample Sheet · Level 3
- (6x² + x + 4) − (x² − 9x − 5) =
- (9x² + 7xy − 3y²) − (4x² − 9xy + 2y²) =
- (9x² − 3x − 2) − (4x² − 4x − 5) =
- (6x² − 8x − 4) + (7x² − 9x − 7) =
- (9x³ + 8x² − 8) + (2x² + 3x − 4) =
- (8x² − 2x + 7) + (4x² + 7x − 3) =
- (7x² + 3xy − 8y²) + (2x² + 2xy − 9y²) =
- (2x³ − 6x − 4) − (5x² − 4x − 8) =
Answer key
- 5x² + 10x + 9
- 5x² + 16xy − 5y²
- 5x² + x + 3
- 13x² − 17x − 11
- 9x³ + 10x² + 3x − 12
- 12x² + 5x + 4
- 9x² + 5xy − 17y²
- 2x³ − 5x² − 2x + 4
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.