Terms, factors and coefficients, and what each part means in a story

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Esme throws a ball: h = −16t² + 40t + 6 feet after t seconds. Which part shows the height gained from the throw alone?

   • 40
   • 6
   • −16t² + 40t + 6
   • 40t
2. 2.

   A show's profit is P = −2x² + 80x − 300 dollars when tickets cost x dollars. Jun asks which part is the profit when the price is $0.

   • −300
   • −2x² + 80x − 300
   • 80
   • −2x²
3. 3.

   A taxi's cost is C = 4 + 2.5m + 0.4w dollars for m miles and w waiting minutes. Luz wants the cost of one waiting minute. Which number is it?

   • 0.4w
   • 4
   • 0.4
   • 2.5
4. 4.

   Milo's card shows (x − 8)² − (x + 8)² + 9x. How many terms does it have after expanding and combining like terms?

   1
5. 5.

   Noah's card shows (4x + 5)(x − 6) − 4x(x − 6) + 9x. How many terms does it have after expanding and combining like terms?

   2
6. 6.

   Pia's card shows (x + 7)³. How many terms does it have after expanding and combining like terms?

   4
7. 7.

   Ren's card shows (x + 5y)² − (x − 5y)² + 7x + y. How many terms does it have after expanding and combining like terms?

   3
8. 8.

   Tala's garden is (x + 2) feet wide and (3x − 1) feet long. When the area (x + 2)(3x − 1) is expanded, what is the coefficient of x?

   5
9. 9.

   Zee's square sign has sides of (2x − 3) cm. When the area (2x − 3)² is expanded, what is the coefficient of x?

   -12
10. 10.

    Ari's two game bonuses give 7(3x − 5) − 9(x − 1) points. When simplified, what is the coefficient of x?

    12