Independent and Dependent variables worksheet - Free Printable
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Step-by-step solution for: Independent and Dependent variables worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Independent and Dependent variables worksheet
Absolutely! Let’s break down each scenario to identify the Independent Variable (I), Dependent Variable (D), and Constants (C).
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- Independent Variable (I): The variable that is *deliberately changed or manipulated* by the experimenter.
- Dependent Variable (D): The variable that is *measured or observed* — it *depends* on the independent variable.
- Constants (C): Variables that are *kept the same* throughout the experiment to ensure a fair test.
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## ✔ Solutions:
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1. A study was done to find if different tire treads affect the braking distance of a car.
- I: Type of tire tread
- D: Braking distance
- C: Car model, road surface, speed before braking, weather conditions, driver reaction time, etc.
> *Explanation:* We’re testing how *tire tread type* (changed) affects *braking distance* (measured). Everything else must stay constant to isolate the effect of the tread.
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2. The time it takes to run a mile depends on the person’s running speed.
- I: Running speed
- D: Time to run a mile
- C: Distance (1 mile), terrain, weather, runner’s fitness level (if same person), footwear, etc.
> *Explanation:* Speed is what we’re changing (or observing as the cause); time is the result. Distance must be fixed at 1 mile.
---
3. The height of bean plants depends on the amount of water they receive.
- I: Amount of water
- D: Height of bean plants
- C: Type of bean plant, soil type, sunlight exposure, pot size, temperature, etc.
> *Explanation:* Water amount is manipulated; plant height is measured. All other growth factors must be controlled.
---
4. The higher the temperature of the air in the oven, the faster a cake will bake.
- I: Oven temperature
- D: Baking time (or speed of baking)
- C: Cake recipe, pan size, oven type, altitude, initial cake temperature, etc.
> *Explanation:* Temperature is adjusted; baking time is observed. Recipe and equipment must remain constant.
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5. Lemon trees receiving the most water produced the most lemons.
- I: Amount of water given to lemon trees
- D: Number of lemons produced
- C: Tree age/variety, sunlight, soil type, fertilizer, pruning, etc.
> *Explanation:* Water is the manipulated factor; lemon yield is the outcome. Other tree care variables must be equal.
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6. An investigation found that more bushels of potatoes were produced when the soil was fertilized more.
- I: Amount of fertilizer
- D: Bushels of potatoes produced
- C: Potato variety, planting density, water amount, sunlight, soil type (except fertilizer), etc.
> *Explanation:* Fertilizer amount is varied; potato yield is measured. All other agricultural conditions are held constant.
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7. Students measured the temperature of the water at different depths in Lake Skywalker and found that the temperature varied.
- I: Depth in the lake
- D: Water temperature
- C: Time of day, season, location in lake (same spot), instrument used, weather, etc.
> *Explanation:* Depth is the variable being changed (by measuring at different levels); temperature is the response. Measurements should be taken under consistent environmental conditions.
---
8. The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead.
- I: Amount of lead in gasoline
- D: Amount of pollution produced
- C: Car make/model, engine size, driving conditions, mileage, maintenance, etc.
> *Explanation:* Lead content is varied; pollution output is measured. To compare fairly, car specs and driving conditions must be identical.
---
9. Four groups of rats are first massed and then fed identical diets except for the amount of vitamin A they receive. Each group gets a different amount. After 3 weeks on the diet, the rats’ masses are measured again to see if there has been a decrease.
- I: Amount of vitamin A in diet
- D: Change in rat mass (after 3 weeks)
- C: Rat species/age/initial mass, diet composition (except vitamin A), cage environment, feeding schedule, duration (3 weeks), etc.
> *Explanation:* Only vitamin A amount differs; mass change is the measured effect. All other dietary and environmental factors are kept constant.
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## 📝 Final Answer Summary:
| # | Independent (I) | Dependent (D) | Constants (C) |
|---|-------------------------------|--------------------------------|--------------------------------------------------------------------------------|
| 1 | Type of tire tread | Braking distance | Car model, road surface, speed, weather, etc. |
| 2 | Running speed | Time to run a mile | Distance (1 mile), terrain, runner, etc. |
| 3 | Amount of water | Height of bean plants | Plant type, soil, sunlight, pot size, etc. |
| 4 | Oven temperature | Baking time | Cake recipe, pan, oven type, etc. |
| 5 | Amount of water | Number of lemons produced | Tree age, sunlight, soil, etc. |
| 6 | Amount of fertilizer | Bushels of potatoes | Potato variety, water, sunlight, etc. |
| 7 | Depth in lake | Water temperature | Time of day, location, instrument, weather, etc. |
| 8 | Amount of lead in gasoline | Pollution produced | Car model, engine, driving conditions, etc. |
| 9 | Amount of vitamin A | Change in rat mass | Diet (except vit A), rat age/initial mass, environment, duration, etc. |
---
✔ This breakdown ensures you understand *what is being tested*, *what is being measured*, and *what must stay the same* to make the experiment valid.
Let me know if you’d like this formatted as a worksheet or printable version!
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🔑 Key Definitions:
- Independent Variable (I): The variable that is *deliberately changed or manipulated* by the experimenter.
- Dependent Variable (D): The variable that is *measured or observed* — it *depends* on the independent variable.
- Constants (C): Variables that are *kept the same* throughout the experiment to ensure a fair test.
---
## ✔ Solutions:
---
1. A study was done to find if different tire treads affect the braking distance of a car.
- I: Type of tire tread
- D: Braking distance
- C: Car model, road surface, speed before braking, weather conditions, driver reaction time, etc.
> *Explanation:* We’re testing how *tire tread type* (changed) affects *braking distance* (measured). Everything else must stay constant to isolate the effect of the tread.
---
2. The time it takes to run a mile depends on the person’s running speed.
- I: Running speed
- D: Time to run a mile
- C: Distance (1 mile), terrain, weather, runner’s fitness level (if same person), footwear, etc.
> *Explanation:* Speed is what we’re changing (or observing as the cause); time is the result. Distance must be fixed at 1 mile.
---
3. The height of bean plants depends on the amount of water they receive.
- I: Amount of water
- D: Height of bean plants
- C: Type of bean plant, soil type, sunlight exposure, pot size, temperature, etc.
> *Explanation:* Water amount is manipulated; plant height is measured. All other growth factors must be controlled.
---
4. The higher the temperature of the air in the oven, the faster a cake will bake.
- I: Oven temperature
- D: Baking time (or speed of baking)
- C: Cake recipe, pan size, oven type, altitude, initial cake temperature, etc.
> *Explanation:* Temperature is adjusted; baking time is observed. Recipe and equipment must remain constant.
---
5. Lemon trees receiving the most water produced the most lemons.
- I: Amount of water given to lemon trees
- D: Number of lemons produced
- C: Tree age/variety, sunlight, soil type, fertilizer, pruning, etc.
> *Explanation:* Water is the manipulated factor; lemon yield is the outcome. Other tree care variables must be equal.
---
6. An investigation found that more bushels of potatoes were produced when the soil was fertilized more.
- I: Amount of fertilizer
- D: Bushels of potatoes produced
- C: Potato variety, planting density, water amount, sunlight, soil type (except fertilizer), etc.
> *Explanation:* Fertilizer amount is varied; potato yield is measured. All other agricultural conditions are held constant.
---
7. Students measured the temperature of the water at different depths in Lake Skywalker and found that the temperature varied.
- I: Depth in the lake
- D: Water temperature
- C: Time of day, season, location in lake (same spot), instrument used, weather, etc.
> *Explanation:* Depth is the variable being changed (by measuring at different levels); temperature is the response. Measurements should be taken under consistent environmental conditions.
---
8. The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead.
- I: Amount of lead in gasoline
- D: Amount of pollution produced
- C: Car make/model, engine size, driving conditions, mileage, maintenance, etc.
> *Explanation:* Lead content is varied; pollution output is measured. To compare fairly, car specs and driving conditions must be identical.
---
9. Four groups of rats are first massed and then fed identical diets except for the amount of vitamin A they receive. Each group gets a different amount. After 3 weeks on the diet, the rats’ masses are measured again to see if there has been a decrease.
- I: Amount of vitamin A in diet
- D: Change in rat mass (after 3 weeks)
- C: Rat species/age/initial mass, diet composition (except vitamin A), cage environment, feeding schedule, duration (3 weeks), etc.
> *Explanation:* Only vitamin A amount differs; mass change is the measured effect. All other dietary and environmental factors are kept constant.
---
## 📝 Final Answer Summary:
| # | Independent (I) | Dependent (D) | Constants (C) |
|---|-------------------------------|--------------------------------|--------------------------------------------------------------------------------|
| 1 | Type of tire tread | Braking distance | Car model, road surface, speed, weather, etc. |
| 2 | Running speed | Time to run a mile | Distance (1 mile), terrain, runner, etc. |
| 3 | Amount of water | Height of bean plants | Plant type, soil, sunlight, pot size, etc. |
| 4 | Oven temperature | Baking time | Cake recipe, pan, oven type, etc. |
| 5 | Amount of water | Number of lemons produced | Tree age, sunlight, soil, etc. |
| 6 | Amount of fertilizer | Bushels of potatoes | Potato variety, water, sunlight, etc. |
| 7 | Depth in lake | Water temperature | Time of day, location, instrument, weather, etc. |
| 8 | Amount of lead in gasoline | Pollution produced | Car model, engine, driving conditions, etc. |
| 9 | Amount of vitamin A | Change in rat mass | Diet (except vit A), rat age/initial mass, environment, duration, etc. |
---
✔ This breakdown ensures you understand *what is being tested*, *what is being measured*, and *what must stay the same* to make the experiment valid.
Let me know if you’d like this formatted as a worksheet or printable version!
Parent Tip: Review the logic above to help your child master the concept of independent and dependent variables worksheet science.
