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Grade 9 · Math · Algebra 1

9th grade Linear, quadratic or exponential? And which grows faster in the end? worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Linear, quadratic or exponential? And which grows faster in the end?

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Read this first

    Growth table

    xy
    03
    15
    29
    315

  2. Kira's cookie-tray pattern follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

  3. Luz's sprout count follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

  4. Milo's block tower pattern follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

  5. Noah's sticker-star count follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

  6. Ren's leaf-print pattern follows one rule: linear, quadratic or exponential. The table shows x = 0 to 3. What is y at x = 4?

  7. Zee's robot-step rules: A is y = 4x² + 30, B is y = 3^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?

  8. Ari's piano-practice rules: A is y = x² + 2x + 16, B is y = 2^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?

  9. Growth table

    xy
    03
    16
    212
    448
    596

  10. Jun logs a science-video cell count, skipping hour 3. Look at how x changes. Is the table linear, quadratic or exponential?

    • None of these: the gaps are not equal
    • Quadratic: the gaps change by the same amount each time
    • Exponential: the same factor for each 1 step of x
    • Linear: the same change for each 1 step of x

  11. Kira logs a rain bucket's depth on some days. Look at how x changes. Is the table linear, quadratic or exponential?

    • Exponential: the same factor for each 1 step of x
    • Linear: the same change for each 1 step of x
    • Quadratic: the gaps change by the same amount
    • None of these: the gaps are not equal

  12. Luz logs sunflower seeds in a counting game, on some turns. Look at how x changes. Is the table linear, quadratic or exponential?

    • Exponential: the same factor for each 1 step of x
    • Quadratic: the gaps change by the same amount
    • None of these: the gaps are not equal
    • Linear: the same change for each 1 step of x
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9th grade Linear, quadratic or exponential? And which grows faster in the end? worksheet – printable
Print: 123456

About this worksheet

Linear, quadratic or exponential. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can tell from a table or graph whether it is linear, quadratic or exponential.
  • I can find the next row once I know the type.
  • I can find where an exponential rule passes another rule, and say why it wins in the end.

Standard: F-LE.A.1a–b, F-LE.A.3

Words to know

gap: The output change from one row to the next (a difference).

factor: What one output is multiplied by to get the next output.

linear: Every gap is the same, for equal steps of x.

quadratic: The gaps change by the same amount each row.

exponential: Every factor is the same, for equal steps of x.

Common mistakes

Your child called a table linear because its outputs go up.

Your child called a table exponential because its gaps grow, without checking the factors.

Your child saw that the gaps change and stopped, without checking the factors.

What to say

Ask: are the gaps between neighbors all the same?

Ask: do you multiply by the same number each row?

Ask: do you multiply by the same number each row?

Questions parents ask

What is the most common mistake with linear, quadratic or exponential? and which grows faster in the end??

Your child called a table linear because its outputs go up.

How can I help my child with linear, quadratic or exponential? and which grows faster in the end??

Ask: are the gaps between neighbors all the same?

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

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