Grade 9 · Math · Algebra 1

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

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

Grade 9 Math Worksheet

NameDate

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

1.
Esme throws a ball: h = −16t² + 40t + 6 feet after t seconds. Which part shows the height gained from the throw alone?
- 40
- 40t
- 6
- −16t² + 40t + 6
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.
- 80
- −2x²
- −300
- −2x² + 80x − 300
3.
Kira spends $60 on x notebooks and y pens: 3x + 5y = 60. Which number is the price of one pen?
- 3
- 5
- 60
- 5y
4.
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?
- 0.4
- 0.4w
- 2.5
- 4
Noah's card shows (4x + 5)(x − 6) − 4x(x − 6) + 9x. How many terms does it have after expanding and combining like terms?
Pia's card shows (x + 7)³. How many terms does it have after expanding and combining like terms?
Ren's card shows (x + 5y)² − (x − 5y)² + 7x + y. How many terms does it have after expanding and combining like terms?
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?
Zee's square sign has sides of (2x − 3) cm. When the area (2x − 3)² is expanded, what is the coefficient of x?
Pia's expression is −(3x − 4) + 2(x + 5). When simplified, what is the coefficient of x?

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.

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)

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.

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.

Ask: which letter does your number multiply?

Ask: which number multiplies the letter?

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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