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

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

1. 1.

   Esme writes the cost of t tickets as C = 5(3t − 2) + 8. What is the coefficient of t after expanding?

   • 5
   • 15t
   • 15
   • 3
2. 2.

   A pond's volume is V = 4w² − 150w + 2000 gallons after w weeks. Jun asks for the coefficient of w. What is it?

   • 4
   • 2000
   • −150
   • 150
3. 3.

   Luz's earnings are E = 6(2x + 5) dollars for x hours of work. What is the coefficient of x after expanding?

   • 12
   • 30
   • 2
   • 6
4. 4.

   Milo's card shows 7(x + 8) − 7x + 9x. How many terms does it have after expanding and combining like terms?

   2
5. 5.

   Noah's card shows (x + 7)(x − 9). How many terms does it have after expanding and combining like terms?

   3
6. 6.

   Pia's card shows 5x(x + 9) − 45x. How many terms does it have after expanding and combining like terms?

   1
7. 7.

   Ren's card shows 9(x − 7) + 8(x + 9) − 8x. How many terms does it have after expanding and combining like terms?

   2
8. 8.

   Tala throws a ball: h = −16t² + 96t + 80 feet after t seconds. What does the 80 stand for?

   • the starting height, in feet, when t = 0
   • the height of the ball after t seconds have passed
   • the feet the ball rises during each second of its flight
   • the number of seconds the ball stays in the air
9. 9.

   A car rental costs C = 12 + 3.5m dollars for m miles. Ari asks what the term 3.5m stands for.

   • the cost of each mile driven
   • the cost of the whole ride, fee included
   • the cost of the m miles driven
   • the fee paid before any miles are driven
10. 10.

    A stand's profit is P = 8n − 150 dollars after selling n items. Bo asks what the term 8n stands for.

    • the money made from each item sold
    • the number of items sold
    • the money made from selling n items
    • the profit after selling n items