Math 9th Chap 4 : Topic 4 - Maryam Publications

Math Chapter 4 : Topic 4

Algebraic Square Roots

1 / 20

The square root of $x^{2} + 6x + 9$ is:

A) $x^{2} + 3$

B) $x + 3$

C) $x + 9$

D) $x - 3$

2 / 20

Which expression is a perfect square?

A) $x^{2} + 5x + 6$

B) $x^{2} + 4x + 4$

C) $x^{2} + 7x + 10$

D) $x^{2} + 2x + 3$

3 / 20

Find $$.

A) $16x$

B) $8x$

C) $2x$

D) $4x$

4 / 20

The square root of ${9a}^{2} + 6ab + b^{2}$ is:

A) $9a + b$

B) $a + b$

C) $3a + b$

D) $3a - b$

5 / 20

Which method is used to find square roots of algebraic expressions?

A) Division method

B) Subtraction method

C) Cross multiplication

D) Addition method

6 / 20

Find square root of $x^{2} - 10x + 25$.

A) $5 - x$

B) $x - 5$

C) $x - 25$

D) $x + 5$

7 / 20

Which expression is $NOT$ a perfect square?

A) $x^{2} - 6x + 9$

B) $x^{2} + 8x + 16$

C) ${4x}^{2} + 12x + 9$

D) $x^{2} + 6x + 8$

8 / 20

Square root of ${25x}^{2} + 20x + 4$ is:

A) $x + 2$

B) $5x - 2$

C) $5x + 2$

D) $25x + 2$

9 / 20

The expression $x^{2} + 2xy + y^{2}$ is equal to:

A) ${(x + y)}^{2}$

B) ${(x - y)}^{2}$

C) $xy(x + y)$

D) $x^{2} + y^{2}$

10 / 20

Find $$.

A) $7a + 7b$

B) $7ab$

C) $14ab$

D) $49ab$

11 / 20

Which step comes first in division method of square root?

A) Subtracting random terms

B) Adding constants

C) Pairing digits/terms

D) Multiply result

12 / 20

Square root of $x^{2} + 14x + 49$ is:

A) $x + 7$

B) $x + 49$

C) $7x + 7$

D) $x - 7$

13 / 20

Which is the correct factorization of $x^{2} - 2x + 1$?

A) ${(x - 1)}^{2}$

B) ${(x + 2)}^{2}$

C) ${(x - 2)}^{2}$

D) ${(x + 1)}^{2}$

14 / 20

If $A = {(x + 4)}^{2}$, then $()$ is:

A) $x^{2} + 8x + 16$

B) $x + 4$

C) $x^{2} + 4$

D) $x - 4$

15 / 20

Which expression represents a perfect square trinomial?

A) $x^{2} + 5x + 6$

B) $x^{2} + 6x + 9$

C) $x^{2} + x + 1$

D) $x^{2} + 3x + 2$

16 / 20

Square root of $36x^{2} - 12x + 1$ is:

A) $3x - 1$

B) $6x + 1$

C) ${6x}^{2} - 1$

D) $6x - 1$

17 / 20

Why is $x^{2} + 2x + 5$ not a perfect square?

A) Coefficient of $x$ is even

B) Constant is large

C) It has no $x^{2}$ term

D) Middle term condition fails

18 / 20

Square root of ${81a}^{2} + 18ab + b^{2}$:

A) $81a + b$

B) $9a + b$

C) $9a - b$

D) $3a + b$

19 / 20

Which expression is a perfect square of a binomial?

A) $x^{2} + 2x + 3$

B) $x^{2} + 3x + 5$

C) $x^{2} - 4x + 4$

D) $x^{2} + 1$

20 / 20

The square root of a product $a^{2\ }b^{2}$ is:

A) $a + b$

B) $a^{2} + b^{2}$

C) $ab$

D) $2ab$

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