Grade 9 · Math · Algebra 1

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

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

Grade 9 Math Worksheet - Building Confidence

NameDate

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

Bo's bean plant is 20 cm tall at week 0. In the growth table, every arrow is + 3 cm. What model gives y after x weeks?
Esme's art club has 8 posters at week 0. In the growth table, every arrow is + 6 posters. What model gives y after x weeks?
Luz's flower-count model is exponential. The growth table has 20 at x = 0 and 50 at x = 1. What is the factor b on each arrow?
Milo's food-drive box model is linear. The growth table has 30 at x = 0 and 42 at x = 1. What is the rate m on each arrow?
Noah's bus-club member model is exponential. The growth table has 80 at x = 0 and 100 at x = 1. What is the factor b on each arrow?
Pia's reading-log page model is linear. The growth table has 64 at x = 0 and 80 at x = 1. What is the rate m on each arrow?
7.
Ren's class tracks its trip fund with y = 12x + 40, in dollars after x weeks. What does the 12 mean?
- The fund has $12 after 12 weeks
- The fund starts with $12
- $12 is added each week
8.
Tala models the juice left in a jug with y = 250 − 15x, in mL after x minutes. What does the 250 mean?
- There are 250 mL at the start
- 250 mL are poured out each minute
- There are 250 mL after 15 minutes
9.
A chess club's members follow y = 120(1.06)^x after x months. Zee asks: what does the 1.06 mean?
- Members grow by 6% each month
- The club gains 1.06 members each month
- Members grow by 106% each month
10.
After a save-paper drive, Ari's school uses y = 2000(0.9)^x sheets a week, x weeks later. What does the 0.9 mean?
- Paper use falls by 10% each week
- Paper use falls by 90% each week
- Paper use falls by 0.9 sheets each week

9th grade Build a linear or exponential model, and say what the numbers mean worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

I can build y = mx + b or y = a(b)^x from a story, a table or two points.
I can say what the start and the rate or factor mean in the story.
I can say which inputs make sense for a model.

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

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

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