Math 9th Chap 4 : Test Yourself - Maryam Publications

Math Chapter 4 : Test

1 / 20

Factors of $- \ 2 - a + a^{2}$ are __________.

A) $(a + 2)(a - 1)$

B) $(a - 2)(a - 1)$

C) $(a + 1)(a - 2)$

D) $(a + 1)(a + 2)$

2 / 20

Factorization of $x^{2} - x +$ $\frac{1}{4}$ is __________.

A) $\left( x + \frac{1}{2} \right)(x - 1)$

B) $\left( x + \frac{1}{2} \right)\left( x - \frac{1}{2} \right)$

C) $\left( x - \frac{1}{2} \right)\left( x - \frac{1}{2} \right)$

D) $\left( x - \frac{1}{2} \right)(x + 1)$

3 / 20

$(x^{2} + m^{2})(x + m)(x^{4} + m^{4})(x - m)$ is the factored form of ______.

A) $x^{8} + m^{8}$

B) $x^{8} - m^{8}$

C) $x^{4} + m^{4}$

D) $x^{4} - m^{4}$

4 / 20

$a^{4} + 64b^{4}$ is the product of __________.

A) $a^{2} + 8b^{2} + 4ab\ $and$\ a^{2} - 8b^{2} + 4ab$

B) $a^{2} - 4ab + 8b^{2}\ $and${\ a}^{2} + 4ab + 8b^{2}$

C) $\left( a^{2} + 8b^{2} \right)^{2}$

D) None of these

5 / 20

$x(2a + 3b + 7) + x(2a + 3b + 5)\ $equals __________.

A) $x(2a + 3b + 7)(2a + 3b + 5)$

B) $4x(2a + 3b + 6)$

C) $2x(2a + 3b + 6)$

D) $(x + x)(2a + 3b + 12)$

6 / 20

Which is the highest common factor of $- \ 12x^{2}y^{2}$, $6{xy}^{3}$, $24x^{2}y^{2}$?

A) $- \ 24x^{2}y^{3}$

B) $6x^{2}y^{3}$

C) $- \ 6xy$

D) $6{xy}^{2}$

7 / 20

What is the least common multiple of $12x^{2}y^{2}$, $6{xy}^{3}$, $24x^{2}y^{2}$?

A) $6x^{2}y^{3}$

B) $6xy$

C) $6{xy}^{2}$

D) $24y^{3}x^{2}$

8 / 20

What is the highest common factor of $7x - 6xy$ and $5{xy}^{3} - 3x^{2}$?

A) $(7 - 6y)(5y^{3} - 3x)$

B) $x$

C) $(7x - 6xy)(5y^{3}x - 3x^{2})$

D) $x(7 - 6y)(5y^{3} - 3x)$

9 / 20

Least common multiple of $7x - 6xy$ and $5y^{3}x - 3x^{2}$ is_________.

A) $(7x - 6xy)(5y^{3} - 3x^{2})$

B) $(7 - 6y)(5y^{3} - 3x^{2})$

C) $x$

D) $x(7 - 6y)(5y^{3} - 3x)$

10 / 20

HCF of $7x^{3} - 8y^{3}$ and $3x^{3} - 5y^{3}\ $is__________.

A) $3x^{3} - 5y^{3}$

B) $1$

C) $(7x^{3} - 8y^{3})\ (3x^{3} - 5y^{3})$

D) $7x^{3} - 8y^{3}$

11 / 20

LCM of $7x^{3} - 8y^{3}$ and $3x^{3} - 5y^{3}\ $is__________.

A) $7x^{3} - 8y^{3}$

B) $1$

C) $3x^{3} - 5y^{3}$

D) $(7x^{3} - 8y^{3})\ (3x^{3} - 5y^{3})$

12 / 20

What is the product of $\frac{{uv}^{2}}{3w^{3}}$ and $\frac{6w^{4}}{u^{2}v^{3}}\ $?

A) $\frac{{uv}^{2}}{3w^{2}} \times \frac{u^{2}v^{3}}{6w^{4}}$

B) both A & C

C) $\frac{uv}{2w}$

D) $\frac{2w}{uv}$

13 / 20

What is the quotient of $\frac{3y^{2}}{10} \div \frac{y^{3}}{2}\ $?

A) $\frac{3y^{2}}{10} \div \frac{2}{y^{3}}$

B) $\frac{3}{5y}$

C) $\frac{3y^{5}}{20}$

D) $\frac{5y}{3}$

14 / 20

What is the sum of $\frac{2a}{a^{2}\ - \ 1}$ and $\frac{- \ a}{a^{2}\ - \ 1}\ $?

A) $\frac{2a\ - \ a}{(a^{2}\ - \ 1)\ + \ (a^{2}\ - \ 1)}$

B) $\frac{3a}{a^{2}\ - \ 1}$

C) $\frac{- \ 2a}{a^{2}\ - \ 1}$

D) $\frac{a}{a^{2}\ - \ 1}$

15 / 20

What is the difference of $\frac{- \ 3x}{x\ + \ y}$ and $\frac{x}{x\ + \ y}\ $?

A) $\frac{- \ 4x}{x\ + \ y}$

B) $\frac{3x^{2}}{x\ + \ y}$

C) $\frac{- \ 3x\ - \ x}{2x\ + \ 2y}$

D) $\frac{- \ 2x}{x\ + \ y}$

16 / 20

If product of two polynomials is ${(a - b)}^{2}\ (a^{2} + ab + b^{2})$ and their HCF is $a - b$, what is their LCM?

A) ${(a - b)}^{3}\ (a^{2} + ab + b^{2})$

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

C) ${(a - b)}^{2}\ (a^{2} + ab + b^{2})$

D) $a^{3} - b^{3}$

17 / 20

If product of HCF & LCM of two polynomials is $(x^{3} - y^{3})(x + y)$ then what will be the product of these polynomials?

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

B) $x^{4} - y^{4}$

C) $(x^{2} - y^{2})(x^{2} - xy + y^{2})$

D) $(x^{2} - y^{2})(x^{2} + xy + y^{2})$

18 / 20

What is the square root of $x^{6}y^{16}$?

A) $6x^{3}y^{8}$

B) $6xy$

C) $6x^{6}y^{16}$

D) $16x^{3}y^{8}$

19 / 20

What is the square root of ${(15x^{2} - 7y^{2})}^{4}$?

A) $\pm \ (15x - 7y)$

B) $\pm \ (15x^{2} - 7y^{2})$

C) $\pm \ {(15x^{2} - 7y^{2})}^{2}$

D) $\pm \ {(15x - 7y)}^{2}$

20 / 20

What is the square root of $\left\lbrack - \left( 2x + \frac{1}{x} + 1 \right) \right\rbrack^{2}$?

A) $2x +$ $\frac{1}{x} + 1$

B) $\pm$ $\left( 2x + \frac{1}{x} + 1 \right)^{2}$

C) $$

D) $\left( 2x + \frac{1}{x} + 1 \right)^{2}$

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