Free Printable Grade 10 Variation quiz

Worksheets

Grade 10 Variation quiz

Total questions: 20

Worksheet time: 3hrs 20mins

Name

Class

Date

y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

y=32x

y=16x

y=2x

y=(1/2)x

In a direct variation, y=39 when x=3. Find the value of y when x=2.

58.5

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

$394

$440

$472.80

$512.20

If y = 15 when x = 12 find y when x = 32.

y = (5/4)x; 40

y= (4/5)x; -40

y= 4x; 5

y= 5x; -5

What does the Direct Variation Equation look like?

Y= kx

y = mx + b

y = b

y = x

On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

27 cm

675 cm

529 cm

32 cm

Which of the following represents indirect variation?

y = kx

y = k/x

y = x/k

y = mx + b

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

3/5

8/5

16/5

32/5

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

10.

If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.

11.

If x varies inversely as y, and x = 3 when y = 8, find y when x = 4.

12.

What is the constant of variation of the equation, x = 29/y?

13.

The time to complete a project varies inversely with the number of employees.
If 3 people can complete the project in 7 days, how long will it take 5 people?

12 days

4.2 days

6.2 days

10 days

14.

Given (32, 15) and (12, y). Find the constant k, and then find the missing y value.

-40

-48

15.

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.

y = 4x

y = 144x

y = 4/x

y = 144/x

16.

What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable

direct variation

inverse variation

joint variation

none of these

17.

What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power

direct variation

inverse variation

joint variation

none of these

18.

Given that y varies inversely with x and x = 1 and y = 3. What is the constant of variation, k?

(Remember that k = xy)

19.

Given that y varies inversely with x and x = 1 and y = 3. Which equations represents this inverse variation?

(Hint: find k then plug into the equation y = k/x)

$y=\frac{3}{x}$

$y=\frac{1}{x}$

$y=\frac{2}{x}$

$y=3x$

20.

Given that y varies inversely with x and x = -2 and y = 8. Which equations represents this inverse variation?

(Hint: find k then plug into the equation y = k/x)

$y=-\frac{16}{x}$

$y=-\frac{2}{x}$

$y=\frac{8}{x}$

$y=-\frac{4}{x}$

100 %

Grade 10 Variation quiz

Total questions: 20

Worksheet time: 3hrs 20mins

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