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Proportional Relationships: Tables, Graphs & Equations — Easy Worksheet 1
Grade 7 · MathSheets Name: ____________________ Date: __________
Complete each table and graph the points on the grid. Then answer the question. Write equations as y = kx, using a decimal for k when it is not a whole number.
How to solve
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Example
A plant grows 4 centimeters each week. Let x be the weeks and y the centimeters. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | 16 |
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the cups of flour for x = 1. The story gives it: k = 3. The equation is y = 3x.
✓ Correct!
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the cups of flour for x = 1. The story gives it: k = 3. The equation is y = 3x.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
A plant grows 2 centimeters each week. Let x be the weeks and y the centimeters. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 2 |
| 2 | ___ |
| ___ | 6 |
| 4 | 8 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
Not quite. The answer is
💡 k is the unit rate, the dollars for x = 1. The story gives it: k = 3. Multiply the x-value by k: y = 3 × 2 = 6. The missing y is 6.
✓ Correct!
Not quite. The answer is
💡 k is the unit rate, the dollars for x = 1. The story gives it: k = 3. Multiply the x-value by k: y = 3 × 2 = 6. The missing y is 6.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
A plant grows 3 centimeters each week. Let x be the weeks and y the centimeters. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
✓ 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 | ___ |
| ___ | 15 |
| 4 | 20 |
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the centimeters for x = 1. The story gives it: k = 5. The equation is y = 5x.
✓ Correct!
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the centimeters for x = 1. The story gives it: k = 5. The equation is y = 5x.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
A plant grows 2 centimeters each week. Let x be the weeks and y the centimeters. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 2 |
| 2 | ___ |
| ___ | 6 |
| 4 | 8 |
✓ 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 | ___ |
| ___ | 15 |
| 4 | 20 |
Not quite. The answer is
💡 k is the unit rate, the liters for x = 1. The story gives it: k = 5. Divide the y-value by k: x = 15 ÷ 5 = 3. The missing x is 3.
✓ Correct!
Not quite. The answer is
💡 k is the unit rate, the liters for x = 1. The story gives it: k = 5. Divide the y-value by k: x = 15 ÷ 5 = 3. The missing x is 3.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
Apples cost $4.00 per pound. Let x be the pounds and y the dollars. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 4 |
| 2 | ___ |
| ___ | 12 |
| 4 | 16 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
Not quite. The answer is
💡 k is the unit rate, the pages for x = 1. The story gives it: k = 3. The equation is y = 3x. Put in x = 5: y = 3 × 5 = 15. That is 15 pages.
✓ Correct!
Not quite. The answer is
💡 k is the unit rate, the pages for x = 1. The story gives it: k = 3. The equation is y = 3x. Put in x = 5: y = 3 × 5 = 15. That is 15 pages.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
A printer prints 3 pages every minute. Let x be the minutes and y the pages. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the miles for x = 1. The story gives it: k = 3. The equation is y = 3x.
✓ Correct!
Not quite. The answer is
💡 A proportional relationship has the equation y = kx. k is the unit rate, the miles for x = 1. The story gives it: k = 3. The equation is y = 3x.
💡 How to solve: Proportional Relationships: Tables, Graphs & Equations
A proportional relationship has the equation y = kx, where k is the unit rate (the y-value when x = 1). Find k by dividing any y by its x. To fill a missing y, multiply its x by k; to fill a missing x, divide its y by k. Each pair (x, y) is a point on the graph, and the points line up on a straight line through (0, 0). Example: 4 pages every minute gives y = 4x, so 3 minutes → 12 pages and 20 pages → 5 minutes.
Try a similar one
A recipe uses 3 cups of flour for each batch. Let x be the batches and y the cups of flour. Write the equation for this relationship.
| x | y |
|---|---|
| 1 | 3 |
| 2 | ___ |
| ___ | 9 |
| 4 | 12 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Proportional Relationships: Tables, Graphs & Equations — Easy Worksheet 1
Complete each table and graph the points on the grid. Then answer the question. Write equations as y = kx, using a decimal for k when it is not a whole number.