Student Learning Activity

Adding polynomials

100

Find the solution to the equation,

(5x + 4) + (x + 1)

(6x + 5)

200

What is the solution to the equation,

(12x² + 2x) + (2x + 7)

(12x² + 4x + 7)

300

What is the answer to the equation,

(2x² + 3x + 2) + (3x² - 5x - 1)

(5x² - 2x + 1)

400

Find the answer to the equation, 

(-4g + 8) + (-7g⁴ + 9g³ - 3g)

(-7g⁴ + 9g³ - 7g + 8)

500

Find the answer to the equation, 

(5x⁴ + 2x³ + 3x² + 12) + (7x³ + 4x² + 3)

(5x⁴ + 9x³ + 7x² + 15)

Subtracting polynomials

100

Find the solution to the equation,

(4v + 5) - (2v + 3)

(2v + 2)

200

Find the Solution to the problem,

(6k² + 5k) - (4k² + 10k)

(2k² - 5k)

300

Find the solution,

(12q² - 5q + 8) - (16q² - 10q + 4)

(-4q² + 5q + 4)

400

Find the answer to the equation, 

(6w⁴ + 9w³ + w² + 6w + 6) - (6w⁴ + 7w³ + w²)

(2w³ + 6w + 6)

500

what is the answer to the equation, 

(-9x⁴ + 2x³ + x² - 3x - 1) - (x⁴ - 6x³ + 7x² + 3x - 5)

(-10x⁴ + 8x³ - 6x² - 6x + 4)

Identify Like Terms

100

Which two are like terms,

4x²

8x⁴

 X²

4x²  and x² are Like Terms!

200

Identify Like Terms,

26g²

22g³

12g²

26g² and 12g² are like terms!

300

Find the like terms,

(15b² + 14 + 18v⁴ + 4b²)

15b² and 4b² are like terms!

400

Identify Like Terms, 

12x⁵    13x⁶    20v⁵    17g⁴    5x²    

25c⁶    12x¹⁰  31v⁴    18k²⁰   9b⁸ 

19x⁵⁰   42h⁵   22d⁷    2n³     14f³

N/A - there are no like terms in this problem!

500

Find the like terms, 

12x⁵    13x⁶    20v⁵    17g⁴    5x²    

25c⁶    12x¹⁰  31v⁴    18k²⁰   9b⁸ 

19x⁵⁰   42x⁵   22d⁷    2n³     14f³

12x⁵ and 42x⁵ are like terms!

Combining Like Terms

100

Find and combine the like terms,

10x⁸

17x⁹

15x⁸

25x⁸

200

Combine Like Terms,

(10g + 16 + 3g + 4)

(13g + 20)

300

Combine like terms, then multiply by two!

4x² 

8x⁹

6x²

20x²

400

Combine Like Terms 

(15x + 4 + 6x² + 6 + 14x)

(6x² + 29x + 10)

500

Find and combine like terms, 

12x⁵    13x⁶    20v⁵    17g⁴    5x²    

25c⁶    12x¹⁰  31v⁴    18k²⁰   9b⁸ 

19x⁵⁰   42x⁵   22d⁷    2n³     14f³

54x⁵