Question 1

Which is an example of direct variation?

Accepted Answer

𝑦 = 2𝑥

Answer

𝑥 = $\frac{1}{2y}$

Answer

𝑥𝑦 = 2

Answer

𝑦 = $\frac{1}{2y}$

Question 2

Which is an example of inverse variation?

Accepted Answer

𝑦 = $\frac{1}{2y}$

Answer

𝑥 = −4𝑦

Answer

𝑦 = 4𝑥

Answer

𝑥 = $\frac{1}{2y}$

Question 3

The length 𝑙 of a rectangular field varies inversely as its width 𝑤 is written as ____.

Accepted Answer

𝑙 = $\frac{1}{2y}$

Answer

𝑙 = 𝑘𝑤

Answer

𝑤 = 𝑘𝑙

Answer

𝑤 = $\frac{1}{2y}$

Question 4

If 𝑦 varies inversely as 𝑥 and 𝑦 = 12 when 𝑥 = 4, find 𝑦 when 𝑥 = 3.

Accepted Answer

16

Answer

17

Answer

18

Answer

15

Question 5

What mathematical equation describes the graph below?

Accepted Answer

𝑦 varies directly as 𝑥, where 2 is the constant of variation

Answer

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

Answer

𝑦 varies inversely as 𝑥, where 2 is the constant of variation

Answer

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

Question 6

Which equation represents “y varies directly as x and z”?

Accepted Answer

𝑦 = 𝑘𝑥𝑧

Answer

𝑦 = $\frac{1}{2y}$

Answer

𝑦 = 𝑥𝑧

Answer

𝑦 = $\frac{1}{2y}$

Question 7

Which is the correct translation of the equation 𝐴 = $\frac{1}{2y}$ .

Accepted Answer

A varies directly as b and inversely as c

Answer

A is directly proportional to k, b and c

Answer

A is jointly proportional to b and c

Answer

A varies jointly as b and inversely as c

Question 8

It is defined as the variation where a quantity depends on two or more other quantities, whereas one quantity varies directly while the other quantity varies inversely.

Accepted Answer

Combined

Answer

Direct

Answer

Joint

Answer

Inverse

Question 9

“The Interest earned by a savings account of Mr. Viray is jointly proportional to the Time and its Principal amount. After one quarter (3months), the interest for a principal amount of Php 6,000 is Php 120.” How much interest is earned within 5 months if the principal amount is Php 7,500?

Accepted Answer

Php 250

Answer

Php 300

Answer

Php 200

Answer

Php 350

Question 10

In the expression 3𝑥², 2 is called _____.

Accepted Answer

Exponent

Answer

Literal Coefficient

Answer

Constant term

Answer

Numerical Coefficient

Question 11

Which of the following is TRUE?

Accepted Answer

𝑥⁶ ∙ 𝑥³ = 𝑥⁹

Answer

(𝑏−⁵)⁰= 𝑏⁻⁵

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

𝑎⁰𝑏² = 𝑎𝑏⁰

Question 12

Transform 𝑎³𝑎⁵ $\frac{b^{10}}{b^5}$ in simplified form by applying the laws of exponent.

Accepted Answer

𝑎⁸𝑏⁵

Answer

(𝑎𝑏⁸)⁵

Answer

(𝑎𝑏⁸)⁵ 𝑎⁸𝑏⁵

Answer

𝑎𝑏²³

Question 13

What law of exponent is applied in the expression $\frac{1}{2y}$ ?

Accepted Answer

Quotient Law

Answer

Radical Law

Answer

Power Law

Answer

Product Law

Question 14

Which of these has the same value with $\frac{1}{2y}$ ?

Accepted Answer

16

Answer

8

Answer

1

Answer

4

Question 15

The exponential expression $\frac{1}{2y}$ is the same as _____.

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 16

Express $\frac{1}{2y}$ $y^{\frac{3}{5}}$ $z^{\frac{4}{5}}$ in a single radical expression.

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 17

Change $\frac{1}{2y}$ to rational form.

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

𝑚 + 32

Answer

𝑚 + $\frac{1}{2y}$

Question 18

The length of the diagonal of the square box is cm. How is the length of the diagonal of the box translated in rational exponent?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

22cm

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 19

Which of the following is equal to $\frac{1}{2y}$ .

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 20

What is another way of writing $\frac{1}{2y}$ ?

I. $\frac{b^{10}}{b^5}$ II. $\sqrt[7]{143}$

Accepted Answer

I

Answer

I and II

Answer

either I nor II

Answer

II

Question 21

What is another way of writing $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 22

What is $\frac{1}{2y}$ in simplified form?

Accepted Answer

3

Answer

9

Answer

18

Answer

6

Question 23

Between what two consecutive whole numbers does $\frac{1}{2y}$ lie?

Accepted Answer

14 and 15

Answer

15 and 16

Answer

12 and 13

Answer

13 and 14

Question 24

What is the simplest form of $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 25

What is the simplest form of $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 26

Which expression must be multiplied to simplify the radical expression $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 27

All of these radical expressions are simplified except for_____.

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 28

The sum $\frac{1}{2y}$ is____________.

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 29

Simplify $\frac{1}{2y}$ .

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 30

What is the sum of the expressions $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 31

Which of the following is the product of $\frac{1}{2y}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 32

Which of the following is the quotient of $\frac{1}{2y}$

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

3xy

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 33

What is the difference of $\frac{1}{2y}$ and $y^{\frac{3}{5}}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 34

What is the product of $\frac{1}{2y}$ and $y^{\frac{3}{5}}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 35

Which of the following radical equations will have x = 6 as the solution?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 36

What value of n will satisfy the equation $\sqrt[4]{n+2}=3$ ?

Accepted Answer

n = 79

Answer

n = 59

Answer

n = 89

Answer

n = 69

Question 37

Which of the following satisfies the equation $\frac{1}{2y}$ ?

Accepted Answer

25

Answer

8

Answer

4

Answer

16

Question 38

Find the length of an edge of a cube whose surface area is 72 sq. m. Surface Area (SA) =6s².

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Question 39

The square root of a number is 7. Find the number.

Accepted Answer

49

Answer

25

Answer

36

Answer

16

Question 40

What is the perimeter of a rectangular garden in a backyard whose width is $\frac{1}{2y}$ and whose length is $y^{\frac{3}{5}}$ ?

Accepted Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

Answer

$\frac{x^{-2}}{x^5}=x^3$

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