Polynomials: name them, then add and subtract

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Ren's polynomial uses two letters: 6x⁴y⁴ − 5xy. What is its degree?

   8
2. 2.

   Tala's polynomial uses two letters: x²y⁵ + 4x⁴ − 9. What is its degree?

   7
3. 3.

   Zee's polynomial uses two letters: 5x²y⁴ + 7xy − 2. What is its degree?

   6
4. 4.

   Bo's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 4 and sides x² + 3x + 1 and x² + 2x − 2. Type x² as x^2. What is the third side?

   4x + 5
5. 5.

   Esme's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 6 and sides x² + 2x + 3 and x² + 3x − 1. Type x² as x^2. What is the third side?

   4x + 4
6. 6.

   Jun's triangle (feet, x ≥ 2) has perimeter 3x² + 5x + 9 and sides x² + 4 and x² + 2x + 1. Type x² as x^2. What is the third side?

   x^2 + 3x + 4
7. 7.

   Kira's triangle (feet, x ≥ 2) has perimeter 2x² + 9x + 8 and sides x² + 2x + 5 and 3x + 4. Type x² as x^2. What is the third side?

   x^2 + 4x - 1
8. 8.

   Luz has tiles showing x² + 3x − 5 and wants 4x² − x + 2. Type x² as x^2. What polynomial must Luz add?

   3x^2 - 4x + 7
9. 9.

   Milo has tiles showing 2x² − 4x + 1 and wants 5x² + 2x − 3. Type x² as x^2. What polynomial must Milo add?

   3x^2 + 6x - 4
10. 10.

    Pia has tiles showing −x² + 2x + 7 and wants 3x² − 6x + 1. Type x² as x^2. What polynomial must Pia add?

    4x^2 - 8x - 6