Free Printable Direct and Inverse- Fast and the Curious

1.

Write the variation equation:

y is directly proportional to the cube of x

a)

$y\ =\ kx^3$

b)

$y\ =\ k^3x$

c)

$y^3\ =\ kx$

d)

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

2.

Write the variation equation: The number of square tiles (t) used to tile a floor varies inversely with the square of the length (l) of the tile.

a)

$t\ =\ kl^2$

b)

$t^2=\frac{k}{l}$

c)

$t\ =\ \frac{k}{l^2}$

d)

$t^2=\frac{k}{l^2}$

3.

Write the variation equation: The time (t) it takes to travel a certain distance varies inversely with the speed (s) at which you travel

a)

$t\ =\ \frac{s}{d^2}$

b)

$t\ =\ \frac{k}{s}$

c)

$s\ =\ \frac{k}{t^2}$

d)

$s\ =\frac{t}{k}$

4.

Write the variation equation: The volume of air (V) in a balloon varies directly with the cube of the radius (r) of the balloon.

a)

$V\ =\ kr$

b)

$V\ =rk^3$

c)

$V^{3\ }=\ kr^3$

d)

$V\ =\ kr^3$

5.

Write the variation equation: The number (n) of oranges that can fit in a box is inversely proportional the cube of oranges radius (r).

a)

$n\ =\ \frac{k}{r}$

b)

$n\ =\ \frac{k}{r^3}$

c)

$n\ =\ \frac{k}{r^2}$

d)

$r\ =\ \frac{k}{n^3}$

6.

The amount of wrapping paper needed to wrap a box varies __?___ with the size of the box.

a)

neither directly nor inversely

b)

both directly and inversely

c)

directly

d)

inversely

7.

The points scored by a basketball player varies __?___ with the number on the back of the players jersey.

a)

neither directly nor inversely

b)

both directly and inversely

c)

directly

d)

inversely

8.

The loudness of a speaker varies __?__ with the distance a person is from the speaker.

a)

neither directly nor inversely

b)

both directly and inversely

c)

directly

d)

inversely

9.

The cost of purchasing gas varies __?__ with the number of gallons of gas you put into your vehicle.

a)

neither directly nor inversely

b)

both directly and inversely

c)

directly

d)

inversely

10.

Suppose y varies directly with x.

Describe the affect on y when x is tripled.

a)

y is multiplied by 3

b)

y is divided by 3

c)

y is multiplied by 9

d)

y is divided by 9

11.

Suppose y varies inversely with the square of x.

Describe the affect on y when x is multiplied by 5.

a)

y is multiplied by 5

b)

y is divided by 5

c)

y is multiplied by 25

d)

y is divided by 25

12.

Suppose y varies directly with the square of x.

Describe the affect on y when x is multiplied by 1/2.

a)

y is multiplied by 1/2

b)

y is divided by 4

c)

y is multiplied by 4

d)

y is divided by 1/2

13.

Suppose y varies inversely with the square of x.

Describe the affect on y when x is multiplied by 4.

a)

y is multiplied by 1/4

b)

y is divided by 16

c)

y is multiplied by 16

d)

y is divided by 1/4

14.

Which has a steeper slope?

a)

$y\ =\ -3x$

b)

$y\ =\ -x$

c)

$y\ =\ -\frac{1}{3}x$

d)

$y\ =\ -\frac{7}{3}x$

15.

Find the slope of the line pictured here.

a)

slope = -2/5

b)

slope = 5/2

c)

slope = 2/5

d)

slope = -5/2

16.

A line passes through the origin and the point (-4, 7) what is the slope of the line?

a)

slope = 7/4

b)

slope = -7/4

c)

slope = 4/7

d)

slope = -4/7

17.

The distance it takes to stop a moving car varies __?___ with the speed the car is moving.

a)

neither directly nor inversely

b)

both directly and inversely

c)

directly

d)

inversely

18.

Given the variation equation: y = 5x

Describe the affect on y when x is multiplied by 2

a)

y is doubled

b)

y is multiplied by 10

c)

y is divided by 10

d)

y is divided by 2

19.

Given the variation equation: $y\ =\ \frac{12}{x^2}$
Describe the affect on y when x is multiplied by 2

a)

y is divided by 4

b)

y is multiplied by 3

c)

y is divided by 3

d)

y is divided by 6

20.

Given the variation equation: $y\ =\ 2x^3$
Describe the affect on y when x is multiplied by 3

a)

y is divided by 9

b)

y is multiplied by 27

c)

y is divided by 3

d)

y is multiplied by 6

Direct and Inverse- Fast and the Curious

Total questions: 20

Worksheet time: 10mins

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