Integer Word Problems
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Question 1 of 5
1. Question
A car is sold for `$18995`. If it drops in value by `$195` per month, what would the value of the car be after `6` months?
- `$` (17825)
Hint
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Rules for Multiplying Integers
First, find the total price change by multiplying the price change per month and the total months.`\text(Price Change per Month)` `=` `-195` `\text(Number of Months)` `=` `6` `\text(Total Price Drop)` `=` `\text(Price Change per Month)``times``\text(Number of Months)` `=` `-195``times``6` `=` `-1170` Recall, Finally, subtract the total price change from the car’s initial price.`\text(Initial Price)` `=` `18 995` `\text(Total Price Drop)` `=` `-1170` `\text(Initial Price) -``\text(Total Price Drop)` `=` `18 995-``1170` `=`
`$17 825` -
Question 2 of 5
2. Question
The price of a new high-definition television decreases by `$30` per week. If the starting price was `$2900`, what would its value be after `12` weeks?
- `$` (2540)
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Rules for Multiplying Integers
First, find the total price change by multiplying the price change per month and the total months.`\text(Price Change per Month)` `=` `-30` `\text(Number of Months)` `=` `12` `\text(Total Price Drop)` `=` `\text(Price Change per Month)``times``\text(Number of Months)` `=` `-30``times``12` `=` `-360` Recall, Finally, subtract the total price change from the television’s initial price.`\text(Initial Price)` `=` `2900` `\text(Total Price Drop)` `=` `-360` `\text(Initial Price) -``\text(Total Price Drop)` `=` `2900-``360` `=` `2540` `$2540` -
Question 3 of 5
3. Question
What would be the change in temperature from inside a cabin with a temperature of `27°C` to a snowy outside with a temperature of `-5°C`?
- (-32)`°C`
Hint
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Rules for Adding and Subtracting Integers
The change of temperature would be the difference between the cabin’s temperature `(C_T)` and the outside temperature `(O_T)``O_T` `=` `-5` `C_T` `=` `27` `\text(Change of Temperature)` `=` `O_T``-``C_T` `=` `-5``-``27` `=` `-32` Recall, `-32°C` -
Question 4 of 5
4. Question
What would be the difference in height from a submarine at a depth of `390 \text(m)` below sea level and a drone flying at `4500 \text(m)` above sea level?
- (4890) `\text(m)`
Hint
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Rules for Adding and Subtracting Integers
The difference in height would be the difference between the drone’s height and the submarine’s depth`\text(Drone’s Height)` `=` `4500` `\text(Submarine’s Depth)` `=` `-390` `\text(Difference in Height)` `=` `\text(Drone’s Height)``-``\text(Submarine’s Depth)` `=` `4500``-``-390` `=` `4890` Recall, `4890 \text(m)` -
Question 5 of 5
5. Question
On the ground, a hot air balloon has a temperature of `25°C`. If the temperature drops by `-1°C` every `500 \text(ft)`, what would be the temperature of the hot air balloon at `14 000 \text(ft)` above the ground?
- (-3)`°C`
Hint
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Rules for Multiplying Integers
First, find the total temperature drop by multiplying the temperature drop to the quotient of the total height and height per temperature drop.`\text(Total Height)` `=` `14 000` `\text(Height per Temperature Drop)` `=` `500` `\text(Temperature Drop)` `=` `-1` `\text(Total Temperature Drop)` `=` $$\frac{\color{#9a00c7}{\small{\text{Total Height}}}}{\color{#e65021}{\small{\text{Height per Temperature Drop}}}}\times\color{#004ec4}{\small{\text{Temperature Drop}}}$$ `\text(Total Temperature Drop)` `=` $$\frac{\color{#9a00c7}{14\;000}}{\color{#e65021}{500}}\times\color{#004ec4}{-1}$$ `=` `28times-1` `=` `-28` Recall, Finally, add the total temperature drop from the balloon’s ground temperature.`\text(Ground Temperature)` `=` `25` `\text(Total Temperature Drop)` `=` `-28` `\text(Ground Temperature)``+``\text(Total Temperature Drop)` `=` `25+``-28` `=`
`-3°C`
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