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Constant of Proportionality — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Find the constant of proportionality k in y = kx. Write k as a whole number or a fraction in simplest form.
How to solve
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Example
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 7 |
| 2 | 14 |
| 3 | 21 |
| 4 | 28 |
Answer: 7
| x | y |
|---|---|
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
| 4 | 24 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 5 |
| 2 | 10 |
| 3 | 15 |
| 4 | 20 |
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
| 4 | 24 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 7 |
| 2 | 14 |
| 3 | 21 |
| 4 | 28 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Constant of Proportionality
In a proportional relationship y = kx, the constant of proportionality is k = yx — the unit rate. Pick any pair (x, y) with x not 0, divide y by x, and simplify. For an equation like 4y = 12x, solve for y first: y = 3x, so k = 3.
Try a similar one
The table shows a proportional relationship between x and y. What is the constant of proportionality k?
| x | y |
|---|---|
| 1 | 8 |
| 2 | 16 |
| 3 | 24 |
| 4 | 32 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Constant of Proportionality — Easy Worksheet 1
Find the constant of proportionality k in y = kx. Write k as a whole number or a fraction in simplest form.