PencilGo

Grade 8 · Math

8th grade Compare two relationships shown in different ways 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
Print

Compare two relationships shown in different ways

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer.

  1. B (rule): y = 3x + 2. Ari compares two plants, A and B. Beside each one, its rate (cm per week) is already worked out: A 2, B 3. Which plant grows faster?

    • B grows faster: 3 cm a week, more than 2
    • They grow equally fast: both are plants
    • A grows faster: it starts higher, at 8 cm
  2. Read this first

    A (rule): y = 4x + 1. B

    table, minutesliters
    06
    18
    210
  3. Bo fills two pails, A and B. Beside each one, its rate (liters per minute) is already worked out: A 4, B 2. Which pail fills faster?

    • They fill equally fast: both use a hose
    • B fills faster: it starts higher, at 6 liters
    • A fills faster: 4 liters a minute, more than 2
  4. A (story): 12 m of string is out, and 2 m more goes out each second. Esme flies two kites, A and B. Beside each one, its rate (meters per second) is already worked out: A 2, B 5. Which kite's string goes out faster?

    • B goes out faster: 5 m a second, more than 2
    • A goes out faster: it starts higher, at 12 m
    • They go out equally fast: both rates are 2
  5. A (story): a jar has $10 and gets $2 each week. B

    table, weeksdollars
    01
    14
    27
  6. Jun's club has two savings jars, A and B. Which jar's money grows faster?

    • B grows faster: $3 a week, more than $2
    • They grow equally fast: both are jars
    • A grows faster: it starts higher, at $10
  7. A (rule): y = 3x + 1. B

    table, minutescm
    05
    17
    29
    311
  8. Kira races two snails, A and B, along a ruler. Which snail moves faster?

    • B moves faster: its table reaches 11 cm
    • A moves faster: 3 cm a minute, more than 2
    • B moves faster: it starts farther along, at 5 cm
    • They move equally fast: both are snails
  9. Luz grows two bean sprouts, A and B. Which sprout grows faster?

    • They grow equally fast: both reach 14 cm
    • B grows faster: it starts higher, at 6 cm
    • A grows faster: 3 cm a week, more than 2
  10. A (rule): y = 5x + 4. B

    table, minutesliters
    010
    113
    216
  11. Milo fills two pails, A and B. Which pail fills faster?

    • They fill equally fast: both use a hose
    • A fills faster: 5 liters a minute, more than 3
    • B fills faster: it starts higher, at 10 liters
    • B fills faster: its table reaches 16 liters
  12. B (rule): y = 5x + 3. Pia compares two plants, A and B. Which plant started taller (at week 0)?

    • A started taller: 7 cm at week 0, more than 3
    • B started taller: it grows 5 cm a week
    • They started equally tall: both are plants
  13. Ren compares two plants, A and B. Which plant started taller (at week 0)?

    • B started taller: it grows 5 cm a week
    • They started equally tall: both reach 14 cm
    • A started taller: 12 cm at week 0, more than 4
  14. A (story): a jar has 15 buttons and gets 1 more each day. B

    table, daysbuttons
    06
    110
    214
  15. Tala compares two button jars, A and B. Which jar started with more buttons (at day 0)?

    • B started with more: it gets 4 buttons a day
    • They started with the same: both are jars
    • A started with more: 15 buttons, more than 6
PencilGopencilgo.com

8th grade Compare two relationships shown in different ways worksheet – printable
Print: 123456

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

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