Grade 9 · Math · Algebra 1

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

6 printable versionsOn Level10 questions · answer keyFree · no account

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

Grade 9 Math Worksheet

NameDate

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

Esme's class collects cans at a steady rate: 30 cans at day 0 and 58 at day 4. What model gives the cans y after x days?
Jun's class pencil bin loses the same number each day: 90 pencils at day 0 and 60 at day 5. What model gives the pencils y after x days?
Kira's science video shows duckweed multiplying by the same factor each week: 4 cm² at week 0 and 36 cm² at week 2. What model gives the area y after x weeks?
Luz's class phone tree multiplies by the same factor each round: 5 people at round 0 and 80 at round 2. What model gives the people y in round x?
Milo's class keeps a pretend fund of $500 that earns 4% interest a year, compounded yearly. What model gives the balance y after x years?
Noah reads that a village of 800 people grows by 3% a year. What model gives the people y after x years?
Pia's chess club has 40 members and grows by 25% each month for a while. What model gives the members y after x months?
Ren's play ball first rebounds 100 cm (bounce 0). Each bounce is 20% lower than the one before. What model gives the height y of bounce x?
After a cleanup, algae in Tala's school pond covers 900 m² and shrinks by 30% each week. What model gives the area y after x weeks?
10.
Esme's 56-page sticker book gets 4 pages filled a day, so y = 4x pages are full after x days. Which inputs x make sense?
- x ≥ 0
- 0 ≤ x ≤ 56
- 0 ≤ x ≤ 14

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.

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