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Proportional Relationships — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Solve each proportion for x.
How to solve
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Example
34 = 6x, x = ___
Answer: 8
Not quite. The answer is
💡 The top went from 1 to 3: 3 ÷ 1 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 4 × 3 = 12. Check: 14 = 312. So x = 12.
✓ Correct!
Not quite. The answer is
💡 The top went from 1 to 3: 3 ÷ 1 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 4 × 3 = 12. Check: 14 = 312. So x = 12.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
44 = 8x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 5 to 15: 15 ÷ 5 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 3 × 3 = 9. Check: 53 = 159. So x = 9.
✓ Correct!
Not quite. The answer is
💡 The top went from 5 to 15: 15 ÷ 5 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 3 × 3 = 9. Check: 53 = 159. So x = 9.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
33 = 9x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 4 to 12: 12 ÷ 4 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 4 × 3 = 12. Check: 44 = 1212. So x = 12.
✓ Correct!
Not quite. The answer is
💡 The top went from 4 to 12: 12 ÷ 4 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 4 × 3 = 12. Check: 44 = 1212. So x = 12.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
22 = 6x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 2 to 6: 6 ÷ 2 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 5 × 3 = 15. Check: 25 = 615. So x = 15.
✓ Correct!
Not quite. The answer is
💡 The top went from 2 to 6: 6 ÷ 2 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 5 × 3 = 15. Check: 25 = 615. So x = 15.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
45 = 12x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 1 to 2: 2 ÷ 1 = 2, so the top was multiplied by 2. Multiply the bottom by 2 too: 2 × 2 = 4. Check: 12 = 24. So x = 4.
✓ Correct!
Not quite. The answer is
💡 The top went from 1 to 2: 2 ÷ 1 = 2, so the top was multiplied by 2. Multiply the bottom by 2 too: 2 × 2 = 4. Check: 12 = 24. So x = 4.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
31 = 9x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 5 to 15: 15 ÷ 5 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 5 × 3 = 15. Check: 55 = 1515. So x = 15.
✓ Correct!
Not quite. The answer is
💡 The top went from 5 to 15: 15 ÷ 5 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 5 × 3 = 15. Check: 55 = 1515. So x = 15.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
32 = 9x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 4 to 8: 8 ÷ 4 = 2, so the top was multiplied by 2. Multiply the bottom by 2 too: 4 × 2 = 8. Check: 44 = 88. So x = 8.
✓ Correct!
Not quite. The answer is
💡 The top went from 4 to 8: 8 ÷ 4 = 2, so the top was multiplied by 2. Multiply the bottom by 2 too: 4 × 2 = 8. Check: 44 = 88. So x = 8.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
33 = 6x, x = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The top went from 2 to 6: 6 ÷ 2 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 2 × 3 = 6. Check: 22 = 66. So x = 6.
✓ Correct!
Not quite. The answer is
💡 The top went from 2 to 6: 6 ÷ 2 = 3, so the top was multiplied by 3. Multiply the bottom by 3 too: 2 × 3 = 6. Check: 22 = 66. So x = 6.
💡 How to solve: Proportional Relationships
Cross-multiply: in ab = cx, a × x = b × c, so x = (b × c) ÷ a. You can also find what the first numerator was multiplied by to get the second and multiply the denominator by the same number.
Try a similar one
15 = 3x, x = ___
✓ 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 — Easy Worksheet 2
Solve each proportion for x.