Polynomials: name them, then add and subtract

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Luz copies 9 + 2x − 6x² from the board. Once it is in standard form, what is its leading coefficient?

   -6
2. 2.

   Milo copies 3x² − 8 + 7x⁴ from the board. Once it is in standard form, what is its leading coefficient?

   7
3. 3.

   Noah copies 8 − 2x³ + 5x from the board. Once it is in standard form, what is its leading coefficient?

   -2
4. 4.

   Ren wants 7 − 3x² + x in standard form. Which of these is it?

   • −3x² + x + 7
   • 7 + x − 3x²
   • 3x² − x + 7
5. 5.

   Ari adds (4x² − 3x + 5) + (−x² + 7x − 8). Type x² as x^2. What is the sum in standard form?

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

   Esme adds (−3x² + 2x) + (5x² − 6x + 4) for a tile puzzle. Type x² as x^2. What is the sum in standard form?

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

   Kira works out (5x² + 3x − 2) − (2x² − 4x + 6). Type x² as x^2. What is the difference in standard form?

   3x^2 + 7x - 8
8. 8.

   Milo must subtract (3x² − 2x + 5) from (7x² + x − 1). Type x² as x^2. What is the result in standard form?

   4x^2 + 3x - 6
9. 9.

   Noah must subtract (2x² + 6x − 3) from (5x² − 2x + 4). Type x² as x^2. What is the result in standard form?

   3x^2 - 8x + 7
10. 10.

    Pia must subtract (x² + 4x − 7) from (4x² − 3x + 2). Type x² as x^2. What is the result in standard form?

    3x^2 - 7x + 9