PencilGo

Grade 9 · Math · Algebra 1

9th grade Terms, factors and coefficients, and what each part means in a story worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

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

Grade 9 Math Worksheet - Building Confidence

NameDate

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

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

    • 150
    • −150
    • 2000
    • 4

  3. 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

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

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

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

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

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

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

    • the kilometers the distance shrinks each hour
    • the total number of hours the hike lasts
    • the kilometers between the start and the camp
    • the kilometers left after t hours of hiking

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

  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 profit after selling n items
    • the number of items sold
    • the money made from selling n items
PencilGopencilgo.com

9th grade Terms, factors and coefficients, and what each part means in a story worksheet – printable
Print: 123456

About this worksheet

Terms, factors and coefficients, and what each part means in a story. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can name the coefficient, the constant and the terms of an expression such as 40 − 5d.
  • I can tell what each part means in a story (start, change each time, total).
  • I can read the number in the bracket of 500(1 + r)^t as a growth factor.

Standard: A-SSE.A.1a–b, A-SSE.B.3 (reading only)

Words to know

term: One piece of an expression, split at plus and minus signs outside brackets.

coefficient: The number in front of a letter, with its sign.

constant: A plain number with no letter. It never changes.

factor: A number or bracket that multiplies a piece.

growth factor: The number a quantity is multiplied by each step, such as 1.2.

Common mistakes

Your child named a coefficient that belongs to a different term.

Your child named the number outside the bracket. After expanding, every term in the bracket is multiplied by it.

Your child gave the plain number with no letter instead of the number on the letter.

What to say

Ask: which letter does your number multiply?

Ask: which number multiplies the letter?

Questions parents ask

What is the most common mistake with terms, factors and coefficients, and what each part means in a story?

Your child named a coefficient that belongs to a different term.

How can I help my child with terms, factors and coefficients, and what each part means in a story?

Ask: which letter does your number multiply?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 1

See all Algebra 1

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records

Ready for easier practice?

Print a sheet, scan it when it’s done, and PencilGo picks the next one.

Create a free account