Grade 9 · Math · Algebra 1

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

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

Grade 9 Math Worksheet

NameDate

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

Read this first
Growth table
x y
0 400
1 200
2 100
3 50
4 25
1.
Zee pours half of a jug of water into a plant pot, again and again. The table shows the mL left in the jug. Is the table linear, quadratic or exponential?
- Exponential: equal factors
- Linear: equal gaps
- Quadratic: the gaps change by the same amount
2.
Ari counts blocks in a growing block pattern. Is the table linear, quadratic or exponential?
- Quadratic: the gaps change by the same amount
- Linear: equal gaps
- Exponential: equal factors
3.
Jun counts tent pegs in a camp-pattern puzzle. Is the table linear, quadratic or exponential?
- Exponential: equal factors
- Quadratic: the gaps change by the same amount
- Linear: equal gaps
4.
Noah plots pencils in a growing box display. Is the graph linear, quadratic or exponential?
- Quadratic: the gaps change by the same amount
- Exponential: equal factors
- Linear: equal gaps
5.
Pia plots paper snowflakes left after each round of a craft swap. Is the graph linear, quadratic or exponential?
- Linear: equal gaps
- Quadratic: the gaps change by the same amount
- Exponential: equal factors
Ren's timer rules: A is y = 4x + 8, B is y = 2^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?
Tala's reading-chart rules: A is y = 7x + 3, B is y = 2^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?
Ari's star-chart rules: A is y = 15x + 21, B is y = 3^x. Checking x = 0, 1, 2 and up, what is the first x where B is bigger?
9.
Bo's club tries two reading plans. On day 0, Plan A has 100 points and Plan B has 1. A adds 20 a day; B doubles each day. Which has more on day 30?
- Plans A and B tie
- Plan B
- Plan A
10.
Jun compares two games. At level 0, Game A gives 500 coins and Game B gives 2. A adds 100 a level; B doubles each level. Which gives more at level 15?
- Game A
- Game B
- Games A and B tie

x	y
0	400
1	200
2	100
3	50
4	25

9th grade Linear, quadratic or exponential? And which grows faster in the end? worksheet – printable — Print: 1 2 3 4 5 6

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?

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

See all Algebra 1

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