Quiz about 4th Periodical Test Math 9 SY 2024 - 2025

Question 1

Which of the following is equivalent to $$x^{\frac{1}{2}}$$ ?

Accepted Answer

$$\sqrt{x}$$

Answer

$$x^2$$

Answer

$$x^{\frac{1}{3}}$$

Answer

$$x^{-2}$$

Question 2

What is the simplified form of $$\sqrt{81}$$ ?

Accepted Answer

9

Answer

8

Answer

81

Answer

27

Question 3

What is the simplified value of $$\sqrt[3]{27}$$ ?

Accepted Answer

3

Answer

9

Answer

27

Answer

6

Question 4

The index in the radical expression $$\sqrt[5]{x^2}$$ is:

Accepted Answer

5

Answer

2

Answer

x

Answer

1/2

Question 5

The radicand in the expression $$\sqrt[3]{64}$$ is:

Accepted Answer

64

Answer

3

Answer

4

Answer

1

Question 6

What is the simplified form of $$(x^3)^{\frac{1}{3}}$$ ?

Accepted Answer

$$x$$

Answer

$$x^2$$

Answer

$$x^{\frac{2}{3}}$$

Answer

$$x^6$$

Question 7

Which of the following is equivalent to $$\frac{1}{x^{\frac{1}{2}}}$$ ?

Accepted Answer

$$\frac{1}{\sqrt{x}}$$

Answer

$$\sqrt{x}$$

Answer

$$x^{-1}$$

Answer

$$x^{\frac{1}{2}}$$

Question 8

Which of the following is an example of a radical equation?

Accepted Answer

$$\sqrt{x}=4$$

Answer

$$x+5=0$$

Answer

$$x^2+3x=7$$

Answer

$$3x-2=5$$

Question 9

What is the simplified form of $$\sqrt[4]{16^3}$$ ?

4

8

16

64

Accepted Answer

8

Answer

4

Answer

16

Answer

64

Question 10

Which expression is equivalent to $$\sqrt[4]{x^3}$$ ?

Accepted Answer

$$x^{\frac{3}{4}}$$

Answer

$$x^{\frac{4}{3}}$$

Answer

$$x^{\frac{1}{3}}$$

Answer

$$x^2$$

Question 11

The simplified form of $$\sqrt[3]{x^9}$$ is:

Accepted Answer

$$x^3$$

Answer

$$x^6$$

Answer

$$x^{\frac{9}{3}}$$

Answer

$$x^{\frac{3}{9}}$$

Question 12

If $$\frac{\sqrt{a}}{\sqrt{b}}=\sqrt[]{\frac{a}{b}}$$ , then what is $$\frac{\sqrt{320}}{\sqrt{5}}$$ ?

Accepted Answer

8

Answer

7

Answer

9

Answer

10

Question 13

What is the simplified form of $$\sqrt[3]{64}$$ ?

Accepted Answer

4

Answer

8

Answer

16

Answer

6

Question 14

Which of the following represents $$\sqrt[3]{x^5}$$ in exponential form?

Accepted Answer

$$x^{\frac{5}{3}}$$

Answer

$$x^{\frac{3}{5}}$$

Answer

$$x^{\frac{1}{5}}$$

Answer

$$x^{\frac{1}{3}}$$

Question 15

What is $$\left(x^{\frac{2}{5}}\right)^{\frac{5}{2}}$$ ?

Accepted Answer

$$x$$

Answer

$$x^{\frac{2}{10}}$$

Answer

$$x^{\frac{10}{10}}$$

Answer

$$x^2$$

Question 16

The radical expression $$\sqrt[4]{x^8}$$ simplifies to:

Accepted Answer

$$x^2$$

Answer

$$x^{\frac{8}{4}}$$

Answer

$$x^{\frac{4}{8}}$$

Answer

$$x^{\frac{1}{2}}$$

Question 17

What is the correct exponential notation for $$\sqrt{x^3}$$ ?

Accepted Answer

$$x^{\frac{3}{2}}$$

Answer

$$x^{\frac{1}{3}}$$

Answer

$$x^3$$

Answer

$$x^{\frac{2}{3}}$$

Question 18

The expression $$\sqrt[5]{x^6}$$ can be rewritten as:

Accepted Answer

$$x^{\frac{6}{5}}$$

Answer

$$x^{\frac{5}{6}}$$

Answer

$$x^{\frac{1}{6}}$$

Answer

$$x^{\frac{1}{5}}$$

Question 19

The radical form of $$x^{\frac{7}{2}}$$ is:

Accepted Answer

$$\sqrt{x^7}$$

Answer

$$x^{\frac{2}{7}}$$

Answer

$$\sqrt[7]{x^2}$$

Answer

$$x^7$$

Question 20

Simplify: $$\sqrt[3]{x^6y^9}$$

Accepted Answer

$$x^2y^3$$

Answer

$$x^3y^2$$

Answer

$$x^6y^9$$

Answer

$$x^2y^9$$

Question 21

Which of the following is the simplest form of $$(x^{\frac{1}{3}}y^{\frac{1}{4}})^6$$ ?

Accepted Answer

$$x^2y^3$$

Answer

$$x^{\frac{6}{3}}y^{\frac{6}{4}}$$

Answer

$$x^2y^{\frac{3}{2}}$$

Answer

$$x^3y^{\frac{3}{2}}$$

Question 22

Rewrite $$\frac{x^5}{x^2}$$ using properties of exponents.

Accepted Answer

$$x^3$$

Answer

$$x^{-3}$$

Answer

$$x^{\frac{5}{2}}$$

Answer

$$x^{10}$$

Question 23

Simplify: $$\frac{x^{\frac{7}{2}}}{x^{\frac{3}{2}}}$$

Accepted Answer

$$x^2$$

Answer

$$x^{\frac{10}{2}}$$

Answer

$$x^{\frac{4}{2}}$$

Answer

$$x^7$$

Question 24

Which of the following is equivalent to $$\sqrt{x^6}$$ ?

Accepted Answer

$$x^3$$

Answer

$$x^{\frac{6}{2}}$$

Answer

$$x^{\frac{3}{2}}$$

Answer

$$x^6$$

Question 25

Simplify: $$(\sqrt{x}∙\sqrt{y})^2$$ .

Accepted Answer

$$xy$$

Answer

$$x^2y^2$$

Answer

$$x^4y^4$$

Answer

$$xy^2$$

Question 26

What is the simplest form of $$(x^3y^{-2})^{\frac{1}{3}}$$ ?

Accepted Answer

$$\frac{x}{y^{\frac{2}{3}}}$$

Answer

$$xy^{-\frac{2}{3}}$$

Answer

$$xy^2$$

Answer

$$\frac{x}{y^{\frac{3}{2}}}$$

Question 27

Covert $$\sqrt[5]{x^3y^2}$$ into exponent notation.

Accepted Answer

$$x^{3/5}\ y^{2/5}$$

Answer

$$x^{5/3\ }y^{5/2}$$

Answer

$$x^{2/3\ }y^{3/5}$$

Answer

$$x^{5/2}\ y^{3/2}$$

Question 28

Simplify: $$\sqrt{25x^{10}}$$

Accepted Answer

$$5x^5$$

Answer

$$25x^5$$

Answer

$$x^{10/2}$$

Answer

$$5x^{10}$$

Question 29

Which of the following is NOT a valid step in simplifying $$\sqrt{x}\cdot\sqrt{x}$$ ?

Accepted Answer

$$\sqrt{x+x}$$

Answer

$$x^{\frac{1}{2}+\frac{1}{2}}$$

Answer

$$\sqrt{x\cdot x}$$

Answer

$$x$$

Question 30

Simplify: $$\sqrt[4]{x^8y^{12}}$$

Accepted Answer

$$x^2y^3$$

Answer

$$x^4y^6$$

Answer

$$x^3y^2$$

Answer

$$x^{\frac{4}{8}}\ y^{\frac{3}{12}}$$

Question 31

Simplify: $$2\sqrt{5}+3\sqrt{5}-\sqrt{5}$$

Accepted Answer

$$4\sqrt{5}$$

Answer

$$5\sqrt{5}$$

Answer

$$6\sqrt{5}$$

Answer

$$\sqrt{5}$$

Question 32

Simplify: $$\sqrt{20}-\sqrt{45}$$

Accepted Answer

$$2\sqrt{5}-3\sqrt{5}$$

Answer

$$\sqrt{5}-3\sqrt{5}$$

Answer

$$-2\sqrt{5}$$

Answer

$$\sqrt{5}$$

Question 33

Which of the following is the simplified form of $$\sqrt{50}$$ ?

Accepted Answer

$$5\sqrt{2}$$

Answer

$$10\sqrt{2}$$

Answer

$$2\sqrt{10}$$

Answer

$$25\sqrt{2}$$

Question 34

What is the sum of $$3\sqrt{5}+4\sqrt{5}$$ ?

Accepted Answer

$$7\sqrt{5}$$

Answer

$$3\sqrt{10}$$

Answer

$$5\sqrt{7}$$

Answer

$$12\sqrt{5}$$

Question 35

Which of the following operation cannot be performed?

Accepted Answer

$$\sqrt{2}+\sqrt{3}$$

Answer

$$\sqrt{9}+\sqrt{16}$$

Answer

$$2\sqrt{3}+5\sqrt{3}$$

Answer

$$4\sqrt{7}-2\sqrt{7}$$

Question 36

Simplify: $$\sqrt{12}+\sqrt{27}$$

Accepted Answer

$$5\sqrt{3}$$

Answer

$$7\sqrt{3}$$

Answer

$$9\sqrt{3}$$

Answer

$$10\sqrt{3}$$

Question 37

Multiply: $$(2\sqrt{3})(5\sqrt{6})\ $$

Accepted Answer

$$30\sqrt{2}$$

Answer

$$10\sqrt{9}$$

Answer

$$10\sqrt{18}$$

Answer

$$30\sqrt{3}$$

Question 38

Rationalize the denominator of $$\frac{5}{\sqrt{2}}$$ .

Accepted Answer

$$\frac{5\sqrt{2}}{2}$$

Answer

$$\frac{5\sqrt{2}}{4}$$

Answer

$$\frac{\sqrt{2}}{5}$$

Answer

$$\frac{2}{\sqrt{5}}$$

Question 39

What is the product of $$(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})$$ ?

3

5

7

9

Accepted Answer

3

Answer

5

Answer

7

Answer

9

Question 40

Which of the following expressions is equivalent to $$3\sqrt{6}+2\sqrt{24}$$ ?

Accepted Answer

$$7\sqrt{6}$$

Answer

$$5\sqrt{6}$$

Answer

$$9\sqrt{6}$$

Answer

$$11\sqrt{6}$$

Question 41

Which property is used in simplifying the expression $$\sqrt{a} imes\sqrt{b}=\sqrt{ab}$$ ?

Accepted Answer

Product property of radicals

Answer

Addition property of radicals

Answer

Quotient property of radicals

Answer

Commutative property

Question 42

Simplify: $$\frac{\sqrt{72}}{\sqrt{2}}$$

Accepted Answer

$$6$$

Answer

$$\sqrt{36}$$

Answer

$$3\sqrt{2}$$

Answer

$$6\sqrt{2}$$

Question 43

Which of the following expression is in its simplest form?

Accepted Answer

$$3\sqrt{7}$$

Answer

$$4\sqrt{18}$$

Answer

$$6\sqrt{12}$$

Answer

$$2\sqrt{8}$$

Question 44

What is the simplified form of $$(\sqrt{5}+2)^2$$ ?

Accepted Answer

$$4\sqrt{5}+9$$

Answer

$$5+4\sqrt{5}+4$$

Answer

$$9+4\sqrt{5}$$

Answer

Both B and C

Question 45

Simplify the expression:

$$\frac{\sqrt{8}+\sqrt{18}}{\sqrt{2}}$$

Accepted Answer

$$5$$

Answer

$$2\sqrt{2}+3\sqrt{2}$$

Answer

$$6\sqrt{2}$$

Answer

$$7\sqrt{2}$$

Question 46

Simplify

$$\frac{\sqrt{45}}{\sqrt{5}}$$

Accepted Answer

3

Answer

$$\sqrt{9}$$

Answer

$$\sqrt{5}$$

Answer

5

Question 47

Rationalize the denominator of

$$\frac{3}{\sqrt{7}-\sqrt{3}}$$

Accepted Answer

$$\frac{3(\sqrt{7}+\sqrt{3})}{4}$$

Answer

$$\frac{3(\sqrt{7}-\sqrt{3})}{4}$$

Answer

$$\ \frac{3(\sqrt{7}+\sqrt{3})}{2}$$

Answer

$$\ \frac{3}{\sqrt{7}+\sqrt{3}}$$

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