Grade 9 · Math · Algebra 1

9th grade Build a linear or exponential model, and say what the numbers mean worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Build a linear or exponential model, and say what the numbers mean

Grade 9 Math Worksheet - Challenge Me

NameDate

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

Jun's class fund grows the same amount each week: $26 at week 2 and $41 at week 5. What model gives the dollars y after x weeks?
Kira's sunflower grows the same amount each week: 40 cm at week 3 and 68 cm at week 7. What model gives the height y after x weeks?
Luz's class pencil bin loses the same number each day: 70 pencils at day 4 and 40 at day 10. What model gives the pencils y after x days?
Milo's club phone tree multiplies by the same factor each round: 6 people in round 1 and 54 in round 3. What model gives the people y in round x?
Noah's science video: cells multiply by the same factor each hour, 10 thousand at hour 1 and 20 thousand at hour 2. What model gives the cells y, in thousands, at hour x?
Pia's sticker-star game multiplies by the same factor each round: 45 stars in round 2 and 405 in round 4. What model gives the stars y in round x?
7.
Tala's star-sticker table has rows x = 0, 1, 2 with y = 4, 12, 36. Which model fits all three rows?
- y = 3(4)^x
- y = 4(3)^x
- y = 8x + 4
8.
Zee's box-packing table has rows x = 0, 1, 2 with y = 10, 15, 20. Which model fits all three rows?
- y = 10x + 5
- y = 10(1.5)^x
- y = 5x + 10
9.
Ari's flower-bed table has rows x = 0, 1, 2 with y = 20, 30, 45. Which model fits all three rows?
- y = 1.5(20)^x
- y = 20(1.5)^x
- y = 10x + 20
- y = 30(1.5)^x
10.
Bo's ball-bounce table has rows x = 0, 1, 2 with y = 50, 40, 32. Which model fits all three rows?
- y = 50(0.8)^x
- y = 50 − 10x
- y = 0.8(50)^x

Build linear and exponential models. Every version has 10 questions, and the answer key prints on the second page.

Standard: F-LE.A.2, F-LE.B.5

model: A rule that gives the story's amount y for each x.

start: The amount at x = 0; it stands alone (b) or goes in front (a).

rate: The amount added on each arrow of a linear model (m).

factor: The number each arrow multiplies by in an exponential model (b).

sensible inputs: The x values the story allows, such as from 0 until a bottle is empty.

Your child swapped the start and the step in the model.

Your child multiplied when the table adds the same amount each step.

Your child used adding where the story multiplies by the same factor.

Ask: which number is the amount at the start, and which one says how it changes?

Ask: does each arrow add or multiply?

Ask: does the amount go up by the same number, or by the same factor?

What is the most common mistake with build a linear or exponential model, and say what the numbers mean?

Your child swapped the start and the step in the model.

How can I help my child with build a linear or exponential model, and say what the numbers mean?

Ask: which number is the amount at the start, and which one says how it changes?

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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