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.

   Kira copies 5x − 4x³ + 2 from the board. Once it is in standard form, what is its leading coefficient?

   -4
2. 2.

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

   -6
3. 3.

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

   7
4. 4.

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

   -2
5. 5.

   Tala wants 5x² + 8 − 6x³ in standard form. Which of these is it?

   • −6x³ + 5x² + 8
   • 6x³ + 5x² − 8
   • 8 + 5x² − 6x³
6. 6.

   Zee wants −2x + 6x² − 1 in standard form. Which of these is it?

   • −1 − 2x + 6x²
   • −6x² + 2x − 1
   • 6x² − 2x − 1
7. 7.

   Jun adds (x² − 9) + (4x² + 3x + 2). Type x² as x^2. What is the sum in standard form?

   5x^2 + 3x - 7
8. 8.

   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
9. 9.

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

   5x^2 - 6x + 7
10. 10.

    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