7th Grade Math · Unit 5
Every pair in the table uses the same ratio.
Same ratio
Every pair in a proportional relationship uses the same ratio.
The relationship includes (0, 0), even when a table starts at the first multiple.
Missing value
Multiply the known x value by that ratio to find the missing y value.
Whole-number ratios
| cups | ounces |
|---|---|
| 1 | 8 |
| 2 | ? |
| 3 | 24 |
| 4 | 32 |
In a proportional relationship, every pair uses the same ratio.
ounces = 8 × cups
ounces = 8 × 2
ounces = 16
Answer: 16
| hours | miles |
|---|---|
| 1 | 5 |
| 2 | 10 |
| 3 | ? |
| 4 | 20 |
In a proportional relationship, every pair uses the same ratio.
miles = 5 × hours
miles = 5 × 3
miles = 15
Answer: 15
| tickets | dollars |
|---|---|
| 1 | ? |
| 2 | 12 |
| 3 | 18 |
| 4 | 24 |
In a proportional relationship, every pair uses the same ratio.
dollars = 6 × tickets
dollars = 6 × 1
dollars = 6
Answer: 6
| boxes | pencils |
|---|---|
| 2 | 10 |
| 4 | 20 |
| 6 | 30 |
| 8 | ? |
In a proportional relationship, every pair uses the same ratio.
pencils = 5 × boxes
pencils = 5 × 8
pencils = 40
Answer: 40
| packs | stickers |
|---|---|
| 1 | 12 |
| 2 | ? |
| 3 | 36 |
| 4 | 48 |
In a proportional relationship, every pair uses the same ratio.
stickers = 12 × packs
stickers = 12 × 2
stickers = 24
Answer: 24
| days | pages |
|---|---|
| 2 | 6 |
| 4 | 12 |
| 6 | ? |
| 8 | 24 |
In a proportional relationship, every pair uses the same ratio.
pages = 3 × days
pages = 3 × 6
pages = 18
Answer: 18
| batches | cookies |
|---|---|
| 1 | 9 |
| 2 | 18 |
| 3 | 27 |
| 4 | ? |
In a proportional relationship, every pair uses the same ratio.
cookies = 9 × batches
cookies = 9 × 4
cookies = 36
Answer: 36
| laps | minutes |
|---|---|
| 1 | ? |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
In a proportional relationship, every pair uses the same ratio.
minutes = 2 × laps
minutes = 2 × 1
minutes = 2
Answer: 2
| pounds | dollars |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | ? |
| 4 | 16 |
In a proportional relationship, every pair uses the same ratio.
dollars = 4 × pounds
dollars = 4 × 3
dollars = 12
Answer: 12
| students | books |
|---|---|
| 1 | 7 |
| 2 | ? |
| 3 | 21 |
| 4 | 28 |
In a proportional relationship, every pair uses the same ratio.
books = 7 × students
books = 7 × 2
books = 14
Answer: 14
| bags | apples |
|---|---|
| 3 | 6 |
| 6 | 12 |
| 9 | ? |
| 12 | 24 |
In a proportional relationship, every pair uses the same ratio.
apples = 2 × bags
apples = 2 × 9
apples = 18
Answer: 18
A unit fraction or a half
| cups | ounces |
|---|---|
| 2 | 1 |
| 4 | 2 |
| 6 | ? |
| 8 | 4 |
In a proportional relationship, every pair uses the same ratio.
ounces = 12 × cups
ounces = 12 × 6
ounces = 3
Answer: 3
| hours | miles |
|---|---|
| 2 | ? |
| 4 | 2 |
| 6 | 3 |
| 8 | 4 |
In a proportional relationship, every pair uses the same ratio.
miles = 12 × hours
miles = 12 × 2
miles = 1
Answer: 1
| tickets | dollars |
|---|---|
| 3 | 1 |
| 6 | ? |
| 9 | 3 |
| 12 | 4 |
In a proportional relationship, every pair uses the same ratio.
dollars = 13 × tickets
dollars = 13 × 6
dollars = 2
Answer: 2
| batches | cakes |
|---|---|
| 4 | 1 |
| 8 | 2 |
| 12 | 3 |
| 16 | ? |
In a proportional relationship, every pair uses the same ratio.
cakes = 14 × batches
cakes = 14 × 16
cakes = 4
Answer: 4
| songs | minutes |
|---|---|
| 5 | ? |
| 10 | 2 |
| 15 | 3 |
| 20 | 4 |
In a proportional relationship, every pair uses the same ratio.
minutes = 15 × songs
minutes = 15 × 5
minutes = 1
Answer: 1
| days | pages |
|---|---|
| 2 | 3 |
| 4 | 6 |
| 6 | ? |
| 8 | 12 |
In a proportional relationship, every pair uses the same ratio.
pages = 32 × days
pages = 32 × 6
pages = 9
Answer: 9
| packs | stickers |
|---|---|
| 2 | 5 |
| 4 | ? |
| 6 | 15 |
| 8 | 20 |
In a proportional relationship, every pair uses the same ratio.
stickers = 52 × packs
stickers = 52 × 4
stickers = 10
Answer: 10
| laps | miles |
|---|---|
| 4 | 2 |
| 8 | 4 |
| 12 | 6 |
| 16 | ? |
In a proportional relationship, every pair uses the same ratio.
miles = 12 × laps
miles = 12 × 16
miles = 8
Answer: 8
| boxes | muffins |
|---|---|
| 6 | ? |
| 12 | 6 |
| 18 | 9 |
| 24 | 12 |
In a proportional relationship, every pair uses the same ratio.
muffins = 12 × boxes
muffins = 12 × 6
muffins = 3
Answer: 3
| cups | servings |
|---|---|
| 12 | 4 |
| 24 | ? |
| 36 | 12 |
| 48 | 16 |
In a proportional relationship, every pair uses the same ratio.
servings = 13 × cups
servings = 13 × 24
servings = 8
Answer: 8
| posters | dollars |
|---|---|
| 8 | 4 |
| 16 | 8 |
| 24 | ? |
| 32 | 16 |
In a proportional relationship, every pair uses the same ratio.
dollars = 12 × posters
dollars = 12 × 24
dollars = 12
Answer: 12
A negative ratio
| x | y |
|---|---|
| 1 | ? |
| 2 | −2 |
| 3 | −3 |
| 4 | −4 |
In a proportional relationship, every pair uses the same ratio.
y = −1 × x
y = −1 × 1
y = −1
Answer: −1
| x | y |
|---|---|
| 1 | −2 |
| 2 | ? |
| 3 | −6 |
| 4 | −8 |
In a proportional relationship, every pair uses the same ratio.
y = −2 × x
y = −2 × 2
y = −4
Answer: −4
| x | y |
|---|---|
| 1 | −3 |
| 2 | −6 |
| 3 | ? |
| 4 | −12 |
In a proportional relationship, every pair uses the same ratio.
y = −3 × x
y = −3 × 3
y = −9
Answer: −9
| x | y |
|---|---|
| 1 | −4 |
| 2 | −8 |
| 3 | −12 |
| 4 | ? |
In a proportional relationship, every pair uses the same ratio.
y = −4 × x
y = −4 × 4
y = −16
Answer: −16
| x | y |
|---|---|
| 2 | ? |
| 4 | −4 |
| 6 | −6 |
| 8 | −8 |
In a proportional relationship, every pair uses the same ratio.
y = −1 × x
y = −1 × 2
y = −2
Answer: −2
| x | y |
|---|---|
| 2 | −4 |
| 4 | ? |
| 6 | −12 |
| 8 | −16 |
In a proportional relationship, every pair uses the same ratio.
y = −2 × x
y = −2 × 4
y = −8
Answer: −8
| x | y |
|---|---|
| 2 | −6 |
| 4 | −12 |
| 6 | ? |
| 8 | −24 |
In a proportional relationship, every pair uses the same ratio.
y = −3 × x
y = −3 × 6
y = −18
Answer: −18
| x | y |
|---|---|
| 3 | −3 |
| 6 | −6 |
| 9 | −9 |
| 12 | ? |
In a proportional relationship, every pair uses the same ratio.
y = −1 × x
y = −1 × 12
y = −12
Answer: −12
| x | y |
|---|---|
| 2 | −10 |
| 4 | ? |
| 6 | −30 |
| 8 | −40 |
In a proportional relationship, every pair uses the same ratio.
y = −5 × x
y = −5 × 4
y = −20
Answer: −20
| x | y |
|---|---|
| 4 | ? |
| 8 | −4 |
| 12 | −6 |
| 16 | −8 |
In a proportional relationship, every pair uses the same ratio.
y = −12 × x
y = −12 × 4
y = −2
Answer: −2
| x | y |
|---|---|
| 5 | −10 |
| 10 | −20 |
| 15 | ? |
| 20 | −40 |
In a proportional relationship, every pair uses the same ratio.
y = −2 × x
y = −2 × 15
y = −30
Answer: −30
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