Compare two relationships shown in different ways

Grade 8 Math Worksheet - Building Confidence

Circle the best answer.

1. 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?

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

2. Read this first

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

   table, minutes	liters
   0	6
   1	8
   2	10

3. 2.

   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?

   • B fills faster: it starts higher, at 6 liters
   • A fills faster: 4 liters a minute, more than 2
   • They fill equally fast: both use a hose
4. 3.

   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?

   • They go out equally fast: both rates are 2
   • A goes out faster: it starts higher, at 12 m
   • B goes out faster: 5 m a second, more than 2

5. A (story): a jar has $10 and gets $2 each week. B

   table, weeks	dollars
   0	1
   1	4
   2	7

6. 4.

   Jun's club has two savings jars, A and B. Which jar's money grows faster?

   • They grow equally fast: both are jars
   • A grows faster: it starts higher, at $10
   • B grows faster: $3 a week, more than $2

7. A (rule): y = 3x + 1. B

   table, minutes	cm
   0	5
   1	7
   2	9
   3	11

8. 5.

   Kira races two snails, A and B, along a ruler. Which snail moves faster?

   • They move equally fast: both are snails
   • 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
9. 6.

   Luz grows two bean sprouts, A and B. Which sprout grows faster?

   • A grows faster: 3 cm a week, more than 2
   • B grows faster: it starts higher, at 6 cm
   • They grow equally fast: both reach 14 cm

10. A (rule): y = 5x + 4. B

    table, minutes	liters
    0	10
    1	13
    2	16

11. 7.

    Milo fills two pails, A and B. Which pail fills faster?

    • B fills faster: its table reaches 16 liters
    • A fills faster: 5 liters a minute, more than 3
    • They fill equally fast: both use a hose
    • B fills faster: it starts higher, at 10 liters
12. 8.

    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
    • They started equally tall: both are plants
    • B started taller: it grows 5 cm a week
13. 9.

    Ren compares two plants, A and B. Which plant started taller (at week 0)?

    • B started taller: it grows 5 cm a week
    • A started taller: 12 cm at week 0, more than 4
    • They started equally tall: both reach 14 cm

14. A (story): a jar has 15 buttons and gets 1 more each day. B

    table, days	buttons
    0	6
    1	10
    2	14

15. 10.

    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