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Math9_Q2_A

Total questions: 20

Worksheet time: 23mins

Name
Class
Date
1.

What two quantities increase at the same time or decrease at the same time?

a)

Direct Variation

b)

Joint Variation

c)

Inverse Variation

d)

Combined Variation

2.

A variation that shows that one quantity is increasing while the other is decreasing.

a)

Direct Variation

b)

Joint Variation

c)

Inverse Variation

d)

Combined Variation

3.

What is the formula for the Joint Variation?

a)

y = kxy\ =\ kx

b)

y = kx\frac{k}{x}

c)

y = kxzy\ =\ kxz

d)

y = kxz\frac{kx}{z}

4.

What is the formula for the Combined Variation?

a)

y = kxy\ =\ kx

b)

y = kxy\ =\ \frac{k}{x}

c)

y = kxzy\ =\ kxz

d)

y = kxzy\ =\ \frac{kx}{z}

5.

The fare F of a passenger varies directly as the distance d of his destination. What is the equation of this variation?

a)

F = dF\ =\ d

b)

F = kdF\ =\ kd

c)

F = 1dF\ =\ \frac{1}{d}

d)

F = kxdF\ =\ kxd

6.

The number of pizza slices p varies inversely as the number of persons n sharing a whole pizza. What is the equation of this variation?

a)

p = knp\ =\ kn

b)

n = kpn\ =\ kp

c)

p =knp\ =\frac{k}{n}

d)

n = kpn\ =\ \frac{k}{p}

7.

The value of the constant has already been identified, what is the next thing to do?

a)

Find the equation

b)

Solve for what is asked

c)

Find the value of k

d)

The constant is the final answer

8.

If y varies directly as x and y = 24 when x = 6, find y when x = 2.

a)

2

b)

6

c)

8

d)

12

9.

If y varies inversely as x and y = 3 when x = 4, find y when x = 6.

a)

2

b)

6

c)

9

d)

12

10.

If z varies jointly as x and y and z = 60 when x = 5 and y = 6, find z when x = 3 and y = 1.

a)

3

b)

6

c)

9

d)

12

11.

If z varies directly as x and inversely as y, and z = 9 when x = 6 and y = 2, find z when x = 8 and y = 12.

a)

2

b)

6

c)

9

d)

18

12.

If y varies inversely as x and y = -3 when x = -4, find x when y = -2.

a)

-6

b)

-2

c)

2

d)

6

13.

If y varies inversely as x and y = -2 when x = -8, find x when y = 4.

a)

1

b)

14\frac{1}{4}

c)

14-\frac{1}{4}

d)

4

14.

A teacher chargers Php 500.00 per hour of tutorial service to a Grade 9 student. If she spends 3 hours tutoring per day, how much would she receive in 20 days?

a)

Php 15,000

b)

Php 25,000

c)

Php 30,000

d)

Php 40,000

15.

(y2)(y3) = y2+3= y5\left(y^2\right)\left(y^3\right)\ =\ y^{2+3}=\ y^5 , what law of exponent is being illustrated?

a)

Product of Power

b)

Power of Product

c)

Quotient of Power

d)

Power of a powe

16.

This law of exponent states that if any number is raised to zero the answer will always be 1, what law of exponent is this?

a)

Product of Power

b)

Zero Exponent

c)

Negative Exponent

d)

Quotient of Power

17.

Simplify: 12x012x^0

a)

1

b)

x

c)

12

d)

0

18.

Simplify: 717^{-1}

a)

1

b)

7

c)

17\frac{1}{7}

d)

-7

19.

Simplify: 100 + 1010^0\ +\ 10

a)

10

b)

11

c)

100

d)

101

20.

120a5b6c512a2b0c2\frac{120a^5b^6c^{-5}}{12a^{-2}b^0c^2} , apply the laws of exponent to simplify.

a)

10abc

b)

10a7b6c7\frac{10a^7b^6}{c^7}

c)

12abc

d)

c710a7b6\frac{c^7}{10a^7b^6}