Free Printable G9

Worksheets

G9_variation2

Total questions: 15

Worksheet time: 28mins

Name

Class

Date

y is proportional to x and y=30 when x=6.

Find a formula for y in terms of x.

$y=5x$

$y=\frac{5}{x}$

$y=\frac{x}{5}$

$x=5y$

y varies directly with x, when y=40, x=5.

Find the value of y when x=20

y= 16

y=2.5

y=160

y= 25

y varies as the cube of x. Find the value of x when y= $\frac{4}{3}$ given that when x=3, y= 4.5

y is directly proportional to $\left(x+3\right)^2$ When x is 5, y is 16. Find the value of x when y=9

x=36

x= 8

x=4

x=3

What is the meaning of $v\propto\frac{1}{\sqrt{t}}$

y varies as the square root of t

v varies inversly with the square root of t

y varies as the inverse of the square root of t

t varies as the square of v

The number of men,M, is inversely proportional to the number of women, W. When M=10, W=5. Find an expression of M in terms of W

$M=\frac{50}{W}$

$M=50W$

$W=\frac{M}{50}$

$W=\frac{50}{M}$

The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 96 km/h. How long will the trip take if you drive 116 km/h? (with 2d.p.)

2.5 hours

2.6 hours

2.4 hours

3.6 hours

3.5 hours

Boyle's Law states that the pressure, P, of a gas multiplied by its volume, V, is equal to a constant. Does this show direct variation, inverse variation, or neither?

direct variation

inverse variation

neither

If f varies inversely as q², and f = 6 when q = 4 , find q when f = 24

10.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

yes, the constant of variation is 1/2

yes, the constant of variation is 2

no, there is constant of variation.

11.

y varies directly with the square of x. If y=40 when x=4, find y when x = 7

17.5

122.5

12.

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

13.

Which of the following represents indirect variation?

y = kx

y = k/x

y = x/k

y = mx + b

14.

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

15.

Write an equation that represents y as directly proportional to the square of z and inversely proportional to w.

y=kz²/w

y=kz/w

y=w/kz²

y=w/kz

100 %

G9_variation2

Total questions: 15

Worksheet time: 28mins

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