Integer Word Problems

Years

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

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

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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.

$\text(Initial Price)$ $=$ $18 995$

$\text(Total Price Drop)$ $=$ $-1170$

$17 825$

$\text(Initial Price) -$ $\text(Total Price Drop)$ $=$ $18 995-$ $1170$

$=$

$$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)
Hint

Help Video
Correct

Correct!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

Help Video
Correct

Keep Going!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

Help Video
Correct

Fantastic!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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

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) $°C$

Incorrect

Need Text

Play

Remaining Time -0:00

Stream TypeLIVE

Loaded: 0%

Progress: 0%

0:00

Fullscreen

00:00

Mute

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.

$\text(Ground Temperature)$	$=$	$25$
$\text(Total Temperature Drop)$	$=$	$-28$

$-3$

$\text(Ground Temperature)$ $+$ $\text(Total Temperature Drop)$	$=$	$25+$ $-28$
	$=$

$-3°C$

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Great Work!

Rules for Multiplying Integers

2. Question

Hint

Correct!

Rules for Multiplying Integers

3. Question

Hint

Keep Going!

Rules for Adding and Subtracting Integers

4. Question

Hint

Fantastic!

Rules for Adding and Subtracting Integers

5. Question

Hint

Excellent!

Rules for Multiplying Integers

Quizzes

$\text(Price Change per Month)$	$=$	$-195$
$\text(Number of Months)$	$=$	$6$

$\text(Total Price Drop)$	$=$	$\text(Price Change per Month)$ $times$ $\text(Number of Months)$
	$=$	$-195$ $times$ $6$
	$=$	$-1170$	Recall,

$\text(Initial Price)$	$=$	$18 995$
$\text(Total Price Drop)$	$=$	$-1170$

$\text(Initial Price) -$ $\text(Total Price Drop)$	$=$	$18 995-$ $1170$
	$=$

$\text(Price Change per Month)$	$=$	$-30$
$\text(Number of Months)$	$=$	$12$

$\text(Total Price Drop)$	$=$	$\text(Price Change per Month)$ $times$ $\text(Number of Months)$
	$=$	$-30$ $times$ $12$
	$=$	$-360$	Recall,

$\text(Initial Price)$	$=$	$2900$
$\text(Total Price Drop)$	$=$	$-360$

$\text(Initial Price) -$ $\text(Total Price Drop)$	$=$	$2900-$ $360$
	$=$	$2540$

$\text(Change of Temperature)$	$=$	$O_T$ $-$ $C_T$
	$=$	$-5$ $-$ $27$
	$=$	$-32$	Recall,

$\text(Drone’s Height)$	$=$	$4500$
$\text(Submarine’s Depth)$	$=$	$-390$

$O_T$	$=$	$-5$
$C_T$	$=$	$27$

$\text(Difference in Height)$	$=$	$\text(Drone’s Height)$ $-$ $\text(Submarine’s Depth)$
	$=$	$4500$ $-$ $-390$
	$=$	$4890$	Recall,