Grade 8 · Math

8th grade Compare two relationships shown in different ways worksheet

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Compare two relationships shown in different ways

Grade 8 Math Worksheet

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

1.
B (rule): y = 6x + 2. Ari measures two sunflowers, A and B. A is in a table every 2 weeks. Which sunflower grows faster?
- They grow equally fast: both are sunflowers
- A grows faster: it jumps 8 cm each row, more than 6
- B grows faster: 6 cm a week, more than 4
Read this first
A (rule): y = 3x + 10. B
table, minutes liters
4 21
0 1
2 11
2.
Bo fills two pails, A and B. B's rows are mixed up. Which pail fills faster?
- They fill equally fast: both end near 21
- A fills faster: it starts higher, at 10 liters
- B fills faster: 5 liters a minute, more than 3
3.
Two riders in Jun's bike club, A and B, ride at steady speeds. B follows d = 15t (km after t hours). Who rides faster?
- B rides faster: 15 km an hour, more than 12
- They ride equally fast: both riders start at 0 km
- A rides faster: its graph reaches 36 km
A (story): a 30 cm candle burns 2 cm each hour. B
table, hours cm
0 24
2 18
4 12
4.
Kira lights two candles, A and B. Which candle burns down faster?
- B burns faster: 3 cm an hour, more than 2
- A burns faster: it starts taller, at 30 cm
- They burn equally fast: both are candles
5.
B (rule): y = x + 9. Luz compares two plants, A and B, with no row for week 0. Which plant started taller (at week 0)?
- A started taller: its first row shows 11 cm in the table
- A started taller: it grows 2 cm a week
- B started taller: 9 cm at week 0, more than 7
6.
Milo compares two plants, A and B, with no row for week 0. Which plant started taller (at week 0)?
- A started taller: it grows 4 cm a week
- B started taller: 6 cm at week 0, more than 3
- They started equally tall: both pass 9 cm
7.
B (story): a plant is 6 cm at week 0 and grows 1 cm each week. Noah compares two plants, A and B, with no row for week 0. Which plant started taller (at week 0)?
- A started taller: its first row shows 10 cm
- B started taller: 6 cm at week 0, more than 4
- A started taller: it grows 2 cm a week
Ren compares A and B. How much faster does kite A's string go out than kite B's, in meters per second?
B (story): a jar has 10 buttons and gets 4 more each day. Tala compares A and B. How much faster does jar A fill than jar B, in buttons per day?
Zee compares A and B. How much faster does pail A fill than pail B, in liters per minute?

table, minutes	liters
4	21
0	1
2	11

table, hours	cm
0	24
2	18
4	12

8th grade Compare two relationships shown in different ways worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Compare two relationships shown in different ways. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can turn two relationships shown in different ways (table, rule, graph, story) into their rates and starts.
I can say which grows (or falls) faster, which started higher, and by how much.
I can find how far apart two amounts are after a given time.

Standard: 8.F.A.2, 8.EE.B.5 (compare two relationships)

Words to know

rate of change: The change for 1 more x: the slope m.

start (initial value): The amount at x = 0: the y-intercept b.

faster: More change for each 1 step of time; for a falling amount, more lost each step.

greater rate (negative): Closer to 0 on the number line: -2 is greater than -5.

Common mistakes

Your child compared where the two start instead of how fast they change.

Your child compared how fast the two grow when the question asked where they started.

Your child compared the biggest number shown instead of how fast each one changes.

What to say

Ask: how much does each one change for 1 more week (or minute)?

Ask: what was each amount at the very start, at x = 0?

Ask: how much does each one change for 1 step?

Questions parents ask

What is the most common mistake with compare two relationships shown in different ways?

Your child compared where the two start instead of how fast they change.

How can I help my child with compare two relationships shown in different ways?

Ask: how much does each one change for 1 more week (or minute)?

Are these 8th 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 grade 8 math

See all grade 8 math

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