Compare two relationships shown in different ways
Grade 8 Math Worksheet - Building Confidence

Circle the best answer.
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
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A (rule): y = 4x + 1. B
table, minutes liters 0 6 1 8 2 10 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
- They fill equally fast: both use a hose
- A fills faster: 4 liters a minute, more than 2
A (story): a jar has $10 and gets $2 each week. B
table, weeks dollars 0 1 1 4 2 7 Jun's club has two savings jars, A and B. Which jar's money grows faster?
- They grow equally fast: both are jars
- B grows faster: $3 a week, more than $2
- A grows faster: it starts higher, at $10
A (rule): y = 3x + 1. B
table, minutes cm 0 5 1 7 2 9 3 11 Kira races two snails, A and B, along a ruler. Which snail moves faster?
- B moves faster: it starts farther along, at 5 cm
- A moves faster: 3 cm a minute, more than 2
- They move equally fast: both are snails
- B moves faster: its table reaches 11 cm
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
A (rule): y = 5x + 4. B
table, minutes liters 0 10 1 13 2 16 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
- B fills faster: it starts higher, at 10 liters
- They fill equally fast: both use a hose
Noah flies two kites, A and B, and lets out string steadily. Which kite's string goes out faster?
A (rule): y = 2x + 9. B (graph, seconds | meters): a straight line through (0, 1) and (3, 13). A (rule): y = 2x + 9. B (graph, seconds | meters): a straight line through (0, 1) and (3, 13). A 0 1 2 3 0 2 4 6 8 10 12 14 y = 2x + 9 B 0 1 2 3 0 2 4 6 8 10 12 seconds meters - B goes out faster: 4 m a second, more than 2
- A goes out faster: it starts higher, at 9 m
- They go out equally fast: both start in the park
Ren compares two plants, A and B. Which plant started taller (at week 0)?
A (rule): y = 2x + 12. B (graph, weeks | cm): a straight line through (0, 4) and (2, 14). A (rule): y = 2x + 12. B (graph, weeks | cm): a straight line through (0, 4) and (2, 14). A rule: y = 2x + 12 B graph 0 1 2 0 2 4 6 8 10 12 14 weeks cm - They started equally tall: both reach 14 cm
- B started taller: it grows 5 cm a week
- A started taller: 12 cm at week 0, more than 4
A (story): a jar has 15 buttons and gets 1 more each day. B
table, days buttons 0 6 1 10 2 14 Tala compares two button jars, A and B. Which jar started with more buttons (at day 0)?
- A started with more: 15 buttons, more than 6
- They started with the same: both are jars
- B started with more: it gets 4 buttons a day
Zee compares two plants, A and B. Which plant started taller (at week 0)?
A (graph, weeks | cm): a straight line through (0, 3) and (1, 9). B (rule): y = x + 8. A (graph, weeks | cm): a straight line through (0, 3) and (1, 9). B (rule): y = x + 8. A (graph, weeks | cm) 0 1 0 1 2 3 4 5 6 7 8 9 weeks cm B (rule) y = x + 8 0 1 0 2 4 6 8 10 - They started equally tall: both grow
- A started taller: it grows 6 cm a week
- B started taller: 8 cm at week 0, more than 3