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?

   • 15
   • 5
   • 15t
   • 3
2. 2.

   Kira's candle burns down: L = 12 − (3/4)t inches after t hours. What is the coefficient of t?

   • 12
   • −(3/4)t
   • 3/4
   • −3/4
3. 3.

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

   2
4. 4.

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

   3
5. 5.

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

   1
6. 6.

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

   2
7. 7.

   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 number of seconds the ball stays in the air
   • the feet the ball rises during each second of its flight
   • the height of the ball after t seconds have passed
8. 8.

   Zee hikes toward a camp: d = 120 − 8t kilometers are left after t hours. What does the 8 stand for?

   • the kilometers between the start and the camp
   • the kilometers left after t hours of hiking
   • the total number of hours the hike lasts
   • the kilometers the distance shrinks each hour
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 m miles driven
   • the fee paid before any miles are driven
   • the cost of the whole ride, fee included
10. 10.

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

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