Question 1

What type of variation involves two or more variables vary directly on each other?

Accepted Answer

Joint

Answer

Combined

Answer

Inverse

Answer

Direct

Question 2

Which of the following statements best describe direct variation?

Accepted Answer

when two quantities increase at the same time or decrease at the same time

Answer

a combination of direct, inverse, and joint variations

Answer

when one quantity increases and the other one decreases

Answer

a situation where one variable depends on two(or more) other variables

Question 3

The amount of water to the space that water did not occupy in particular container.

Accepted Answer

inverse

Answer

combined

Answer

joint

Answer

direct

Question 4

Which of the following do not belong to the group?

Accepted Answer

Body Mass Index

Answer

Volume of a Rectangle

Answer

Ohm's Law

Answer

Simple Interest

Question 5

The amount of money raised at a charity fundraiser is varies directly to the number of attendees. The amount of money raised for five attendees was ₱ 1,000. How much money will be raised for 60attendees?

Accepted Answer

₱ 12,000

Answer

₱ 14,000

Answer

₱ 10,000

Answer

₱ 16,000

Question 6

Which is an example of direct variation?

Accepted Answer

Answer

Answer

Answer

Question 7

Which of the following equations best represent the statement “y varies directly as x and the square of z”?

Accepted Answer

Answer

Answer

Answer

Question 8

Which variation statement represents the table of values below?

Accepted Answer

y varies inversely as x, where 12 is the constant of variation

Answer

x varies inversely as y, where 108 is the constant of variation

Answer

x varies directly as y, where 108 is the constant of variation

Answer

y varies directly as x, where 12 is the constant of variation

Question 9

Which variation statement describes the graph below?

Accepted Answer

y varies inversely as x, where 40 is the constant of variation

Answer

y varies inversely as x, where 20 is the constant of variation

Answer

y varies directly as x, where 40 is the constant of variation

Answer

y varies directly as x, where 20 is the constant of variation

Question 10

What is the variation equation and the value of the missing variable?

Accepted Answer

Answer

Answer

Answer

Question 11

The Work w (in Joules) done when lifting an object varies jointly with the mass m (in Kilogram) of the object and the height h (in meters) that the object is lifted. The work done when a120-kilogram object is lifted 1.8 meters is 2,116.8 Joules. How much work is done when lifting a 100-kilogram object in 1.5 meters?

Accepted Answer

1,470 Joules

Answer

1,047 Joules

Answer

1,704 Joules

Answer

1,740 Joules

Question 12

Which expression is equivalent to $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

1

Answer

8

Answer

10

Answer

4

Question 13

Which expression is equivalent to $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

Answer

Answer

Answer

<math>\left(y^2\right)^3</math>

Question 14

What law of exponent is applied in the expression $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

Quotient Law

Answer

Power Law

Answer

Radical Law

Answer

Product Law

Question 15

Which of the following is TRUE?

Accepted Answer

Answer

<math>\left(ab^5\right)^0=ab^5</math>

Answer

Answer

Question 16

Transform $\left(\left(2x^2\right)^{-2}\right)^0$ in simplified form by applying the laws of exponent.

Accepted Answer

Answer

Answer

Answer

<math>\left(ab^8\right)^5</math>

Question 17

Which expression is equivalent to $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

Answer

<math>\left(-9\right)^{\frac{1}{2}}</math>

Answer

<math>\left(-\frac{1}{9}\right)^{-\frac{1}{2}}</math>

Answer

<math>\left(-9\right)^{-\frac{1}{2}}</math>

Question 18

What is the simplified form of $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

27

Answer

18

Answer

6

Answer

9

Question 19

What is the simplified form of $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

27

Answer

81

Answer

-81

Answer

-27

Question 20

Which of the following is TRUE?

Accepted Answer

Answer

Answer

Answer

Question 21

Express $\left(\left(2x^2\right)^{-2}\right)^0$ in a single radical expression.

Accepted Answer

Answer

Answer

Answer

Question 22

Which exponential expression is equivalent to $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

<math>\left(2xyz\right)^{\frac{1}{5}}</math>

Answer

<math>\left(2x\right)yz^{\frac{5}{2}}</math>

Answer

Answer

Question 23

The length of the hypotenuse of a right triangular paper is $\left(\left(2x^2\right)^{-2}\right)^0$ cm. How is the length of the hypotenuse translated in radical expression?

Accepted Answer

Answer

Answer

Answer

Question 24

Which of the following doesn’t belong to the group?

Accepted Answer

<math>\left(256\right)^{15}</math>

Answer

Answer

<math>\left(256\right)^{\frac{1}{15}}</math>

Answer

Question 25

What is the another way of writing $\left(\left(2x^2\right)^{-2}\right)^0$ ?

I. $\sqrt[4]{\sqrt[3]{143}}$

II. $\sqrt[7]{143}$

Accepted Answer

I

Answer

Neither I nor II

Answer

II

Answer

Both I and II

Question 26

Which of the following is an incorrect characteristic of a radical in simplest form?

Accepted Answer

No radicands with variable.

Answer

No radicands have perfect square factors other than 1.

Answer

No radical appears in the denominator of a fraction.

Answer

No fraction as radicands.

Question 27

Simplify the radical expression $\left(\left(2x^2\right)^{-2}\right)^0$ .

Accepted Answer

Answer

Answer

Answer

Question 28

Find the product of the radical expression $\left(\left(2x^2\right)^{-2}\right)^0$ and its conjugate.

Accepted Answer

1

Answer

-13

Answer

7

Answer

5

Question 29

Which of the following is TRUE?

I. $\sqrt[5]{64}-2\sqrt[5]{2}+\sqrt[5]{486}=4\sqrt[5]{2}$

II. $\sqrt{\frac{3x}{8y^2}}=\sqrt{\frac{3x}{8y^2}\cdot\frac{3x}{3x}}$

Accepted Answer

Both I and II

Answer

II

Answer

Neither I nor II

Answer

I

Question 30

If $\left(\left(2x^2\right)^{-2}\right)^0$ is to be added, then what is the sum?

Accepted Answer

Answer

Answer

Answer

Question 31

What is the difference of $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

14

Answer

12

Answer

11

Answer

13

Question 32

What is the greatest perfect square factor of $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

Answer

Answer

Answer

Question 33

What is the quotient of $\left(\left(2x^2\right)^{-2}\right)^0$ ?

Accepted Answer

Answer

Answer

Answer

Question 34

What is the value of $\left(\left(2x^2\right)^{-2}\right)^0$ in the equation $\sqrt{x}=10$ ?

Accepted Answer

100

Answer

20

Answer

10

Answer

50

Question 35

Which of the following radical equations will have $\left(\left(2x^2\right)^{-2}\right)^0$ as a solution?

Accepted Answer

Answer

Answer

Answer

Question 36

For what value of s will the equation $\sqrt{x}=10$ true?

Accepted Answer

Answer

Answer

Answer

Question 37

For what value of k will the equation $\sqrt{x}=10$ true?

Accepted Answer

1

Answer

2

Answer

4

Answer

3

Question 38

Find the number such that the square root of four more than five times the number is 8.

Accepted Answer

12

Answer

9

Answer

11

Answer

10

Question 39

Luis walks 5 kilometers dues east and 8 kilometers due north. How far is he from the starting point?

Accepted Answer

<math>\sqrt{89}</math> km

Answer

<math>\sqrt{64}</math> km

Answer

<math>\sqrt{39}</math> km

Answer

<math>\sqrt{25}</math> km

Question 40

The volume V of a cylinder is represented by $\sqrt{x}=10$ , where r is the radius of the base and h is the height of the cylinder. If the volume of a cylinder is $120\ m^3$ and the height is 5 meters, what is the radius of the base?

Accepted Answer

2.76 meters

Answer

13.82 meters

Answer

43.41 meters

Answer

8.68 meters

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