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Grade 9 · Math · Algebra 1

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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Esme's video has V = 800(1.2)^d views after d days. By what percent do the views grow each day?

    • 20% more each day
    • 1.2 more views each day
    • 120% more each day
    • 1.2% more each day
  2. Jun's phone charge is B = 100(0.9)^h percent after h hours. By what percent does the charge fall each hour?

    • the charge starts at 0.9 percent
    • 10% less each hour
    • 0.9% less each hour
    • 90% less each hour
  3. A pond's plant count is N = 200(1.5)^w after w weeks. Kira wants the statement that reads the formula correctly. Which one is right?

    • 200 is the count after w weeks, and 1.5 is the start
    • 200 is the multiplier, and the count starts at 1.5
    • 200 is the start, and each week multiplies the count by 1.5
    • 200 is the start, and each week adds 1.5 plants
  4. A balance is B = 500(1.04)^t dollars after t years. Luz asks what the 1.04 tells you.

    • the balance grows by $1.04 each year
    • the account starts with $1.04
    • the balance grows by 104% each year
    • each year the balance is 104% of the year before
  5. A bouncing ball reaches H = 90(1 − r)^n cm on bounce n, with r = 0.1 for each bounce. Pia asks by what factor the height is multiplied after 2 bounces.

  6. Ren's phone charge is B = 100(1 − r)^h percent after h hours, with r = 0.2 each hour. By what factor is the charge multiplied after 3 hours?

  7. Tala's video has V = 800(1.2)^d views. In this expression, what is (1.2)^d?

    • a term of the whole expression, separate from the 800
    • a constant number that stays fixed
    • two separate terms of the expression, 1.2 and d
    • a factor of the single term 800(1.2)^d
  8. Zee's card shows 3(x + 4)² − 5. What is (x + 4)² in this expression?

    • a term of the whole expression, separate from the 3
    • a constant number that stays fixed
    • two separate terms of the expression, x² and 16
    • a factor of the term 3(x + 4)²
  9. Ari's card shows (x + 2)(x − 5) + 7x. What is x − 5 in this expression?

    • a constant number that stays fixed
    • two separate terms of the expression, x and −5
    • a factor of the term (x + 2)(x − 5)
    • a term of the whole expression, separate from x + 2
  10. Bo's card shows 6(2x − 1) − 4(2x − 1). What is 2x − 1 in this expression?

    • a constant number that stays fixed
    • a term of the whole expression, separate from the 6 and 4
    • a factor of both terms
    • two separate terms of the expression, 2x and −1
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9th grade Terms, factors and coefficients, and what each part means in a story worksheet – printable
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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.

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