Question 11 Mark
Identity like terms in the following: $3\text{x},4\text{xy},-\text{yz},\frac{1}{2}\text{zy}$
AnswerWe have: $3\text{x},4\text{xy},-\text{yz},\frac{1}{2}\text{zy}$ Here like terms are $-\text{yz},\frac{1}{2}\text{zy}$
View full question & answer→Question 21 Mark
Write the following using literals, numbers and signs of basic operations: The quotient of $x$ by $8$ is multiplied by $y$.
AnswerThe quotient of $x$ by $8$ is multiplied by $y$ is $\frac{\text{x}}{8}\times\text{y}=\frac{\text{xy}}{8}$
View full question & answer→Question 31 Mark
Add the following: $\ \ \ \ 4\text{xy}-5\text{yz}-7\text{zx}\\-5\text{xy}+2\text{yz}+\text{zx}\\\ \underline{-2\text{xy}-3\text{yz}+3\text{zx}}\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer$\ \ \ \ 4\text{xy}-5\text{yz}-7\text{zx}\\-5\text{xy}+2\text{yz}+\text{zx}\\\ \underline{-2\text{xy}-3\text{yz}+3\text{zx}}\\\underline{-3\text{xy}\ -6\text{yz}-3\text{zx}}$
View full question & answer→Question 41 Mark
Write the following using literals, numbers and signs of basic operations: $x$ taken away from $4.$
Answerx$$ taken away from $4$ is $(4 - x)$
View full question & answer→Question 51 Mark
Write the following in exponential form: $b \times b \times b \times ….15$ times
AnswerWe can write: $b \times b \times b \times ….15$ times = $b^{15}$
View full question & answer→Question 61 Mark
If $a = 2$ and $b = 3$, find the value of:
$ a^2+ ab$
AnswerSubstituting $a = 2$ and $b = 3$ in the, given expression, we get:
$a^2+ ab = (2)^2+ 2 \times 3$
$= 4 + 6 = 10$
View full question & answer→Question 71 Mark
Write down the following in product form: $x^2y^4$
AnswerWe can write: $x^2y^4= x × x × y × y × y × y$
View full question & answer→Question 81 Mark
Write the coefficient of: $p$ in $-2pqr$
AnswerThe coefficient of $p$ in $-2pqr$ is $-2qr$
View full question & answer→Question 91 Mark
Write the following using literals, numbers and signs of basic operations: Twice $x$ increased by $y$.
AnswerTwice $x$ increased by $y$ is $(2 \times x) + y = 2x + y$
View full question & answer→Question 101 Mark
Write all the terms of the algebraic expressions: $4 x^5-6 y^4+7 x^2 y-9$
AnswerThe terms of the given expression $4 x^5-6 y^4+7 x^2 y-9$ are:
$4 x^5,-6 y^4, 7 x^2 y,-9$
View full question & answer→Question 111 Mark
Add:
$3x, 7x$
Answer$= 3x + 7x$
$= 3x + 7x = 10x$
View full question & answer→Question 121 Mark
Add: $3x, 2y$
View full question & answer→Question 131 Mark
Write the constant term of: $2x^2- 9$
AnswerThe constant term is $-9$
View full question & answer→Question 141 Mark
Write the coefficient of: $x^2$ in $-x^2$
AnswerThe coefficient of $x^2$ in $-x^2$ is $ -1$
View full question & answer→Question 151 Mark
Write the following using literals, numbers and signs of basic operations: $x$ multiplied by itself.
Answer$x$ multiplied by itself is $x \times x = x^2$
View full question & answer→Question 161 Mark
Identify the monomials, binomials and trinomials in the following: $ax^3+ bx^2+ cx + d$
AnswerThe given expression contains four terms, so it is none of monomial, binomial and trinomial.
View full question & answer→Question 171 Mark
Subtract: $3a$ from $5b$
Answer$3a$ from $5b = 5b - 3a$
View full question & answer→Question 181 Mark
Write the following in exponential form: $14 \times a \times a \times a \times a \times b \times b \times b$
AnswerWe can write: $14 \times a \times a \times a \times a \times b \times b \times b = 14a^4b^3$
View full question & answer→Question 191 Mark
Write the following using literals, numbers and signs of basic operations: Thrice $x$ added to $y$ squared.
AnswerThrice $x$ added to $y$ squared is $(3 \times x) + (y \times y) = 3x + y^2$
View full question & answer→Question 201 Mark
Write the numerical coefficient of: $7xyz$
AnswerThe numerical coefficient of $7xyz$ is $7$
View full question & answer→Question 211 Mark
If $a = 2$ and $b = 3$, find the value of:
$ab – a^2$
AnswerSubstituting $a = 2$ and $b = 3$ in the, given expression, we get:
$ab - a^2= 2 \times 3 - (2)^2$
$= 6 - 4 = 2$
View full question & answer→Question 221 Mark
Identify the monomials, binomials and trinomials in the following: $2x + 1$
AnswerThe given expression contains only two terms, so it is binomial.
View full question & answer→Question 231 Mark
Add: $2xy, 5xy, -xy$
Answer$= 2xy + 5xy + (-xy) = 7xy - xy = 6xy$
View full question & answer→Question 241 Mark
Identify the monomials, binomials and trinomials in the following:
$x^5$
AnswerThe given expression contains only one term, so it is monomial.
View full question & answer→Question 251 Mark
Write the following in exponential form:
$6 \times x \times x\times y \times y$
AnswerWe can write:
$ 6 \times x \times x \times y \times y = 6x^2y^2$
View full question & answer→Question 261 Mark
Write the following in exponential form: $y \times y \times y \times ….20$ times
AnswerWe can write:$y \times y \times y \times ….20$ times $= y^{20}$
View full question & answer→Question 271 Mark
Ranjit scores $80$ marks in English and $x$ marks in Hindi. What is his total score in the two subjects?
AnswerMarks scored in English $= 80$ Marks scored in Hindi $= x$ $\therefore$ Total score in the two subjects $= 80 + x$
View full question & answer→Question 281 Mark
Write the coefficient of: $a$ in $6ab$
AnswerThe coefficient of $a$ in $6ab$ is $6b$
View full question & answer→Question 291 Mark
Write the following using literals, numbers and signs of basic operations: $x$ increased by $12.$
Answer$x$ increased by $12$ is $(x + 12).$
View full question & answer→Question 301 Mark
If $a = 2$ and $b = 3$, find the value of: $a^3- b^3$
AnswerSubstituting $a = 2$ and $b = 3$ in the, given expression, we get:
$a^3- b^3= (2)^2- (3)^3$
$= 2 \times 2 \times 2 - 3 \times 3 \times 3$
$= 8 - 27 = - 19$
View full question & answer→Question 311 Mark
Identify the monomials, binomials and trinomials in the following: $xy + yz - zx$
AnswerThe given expression contains three terms, so it is trinomial.
View full question & answer→Question 321 Mark
Write the following using literals, numbers and signs of basic operations:
$x$ minus twice $y$.
Answer$x$ minus twice $y$ is $x - (2 × y) = x - 2y$
View full question & answer→Question 331 Mark
Write the following using literals, numbers and signs of basic operations: Sum of $x$ and the quotient of $y$ by $5$.
AnswerSum of $x$ and the quotient of $y$ by $5$ is $\text{x}+\frac{\text{y}}{5}$
View full question & answer→Question 341 Mark
Identify the monomials, binomials and trinomials in the following:
$5 + 7x^3y^3z^3$
AnswerThe given expression contains two terms, so it is binomial.
View full question & answer→Question 351 Mark
Write the following using literals, numbers and signs of basic operations: The difference of $a$ and $b$, when $a > b.$
AnswerThe difference of $a$ and $b$, when $a > b$ is $(a - b).$
View full question & answer→Question 361 Mark
Write the coefficient of: $x$ in $13x$
AnswerThe coefficient of $x$ in $13x$ is $13$
View full question & answer→Question 371 Mark
Identify the monomials, binomials and trinomials in the following: $-14$
AnswerThe given expression contains only one term, so it is monomial.
View full question & answer→Question 381 Mark
Add the following: $\ \ \ \ \ \text{x}-3\text{y}-2\text{z}\\ \ \ \ \ 5\text{x}+7\text{y}-\text{z}\\ \underline{-7\text{x}-2\text{y}+4\text{z}\ \ }\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer$\ \ \ \ \ \text{x}\ -3\text{y}-2\text{z}\\ \ \ \ \ 5\text{x}+7\text{y}-\text{z}\\ \underline{-7\text{x}-2\text{y}+4\text{z}\ \ }\\\underline{-\text{x}\ \ +2\text{y}+\ \text{z}\ \ \ }$
View full question & answer→Question 391 Mark
Write the following using literals, numbers and signs of basic operations: $x$ cubed less than y cubed.
Answerx cubed less than y cubed is $(y × y × y) - (x × x × x) = y^3- x^3$
View full question & answer→Question 401 Mark
Subtract:
$-xy$ from $6xy$
Answer$-xy$ from $6xy$
$= 6xy - (-xy)$
$= 6xy + xy = 7xy$
View full question & answer→Question 411 Mark
Write the constant term of:
$\text{z}^3-2\text{z}^2+\text{z}-\frac{8}{3}$
Answer The constant term is $-\frac{8}{3}$
View full question & answer→Question 421 Mark
Write the numerical coefficient of: $-6bc$
AnswerThe numerical coefficient of $-6bc$ is $-6$
View full question & answer→Question 431 Mark
Write the coefficient of: $z$ in $-7xz$
AnswerThe coefficient of $z$ in $-7xz$ is $-7x$
View full question & answer→Question 441 Mark
If $a = 2$ and $b = 3$, find the value of:
$5a^2- 2ab$
AnswerSubstituting a = 2 and b = 3 in the, given expression, we get:
$5a^2- 2ab = 5 × (2)^2- 2 × 2 × 3$
= 5 × 4 – 4 × 3
= 20 - 12 = 8
View full question & answer→Question 451 Mark
Identity like terms in the following:
$-2 x y^2, x^2 y, 5 y^2 x, x^2 z$
AnswerWe have:$-2 x y^2, x^2 y, 5 y^2 x, x^2 z$
Here like terms are $-2xy^2, 5y^2x$
View full question & answer→Question 461 Mark
Subtract:
$10x^2$ from $-7x^2$
Answer$10x^2$ from $-7x^2= -7x^2- 10x^2= -17x^2$
View full question & answer→Question 471 Mark
Write the coefficient of:
$ y^2$ in $8xy^2z$
AnswerThe coefficient of $y^2$ in $8xy^2z$ is 8xz
View full question & answer→Question 481 Mark
Write the numerical coefficient of: $ab$
AnswerThe numerical coefficient of $ab$ is $1$
View full question & answer→Question 491 Mark
Add the following: $\ \ \ \ 2\text{x}^2-3\text{xy}+\text{y}^2\\-7\text{x}\ \ -5\text{xy}-2\text{y}^2\\\underline{\ \ \ 4\text{x}^2\ +\text{xy}\ \ -6\text{y}^2}\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer$\ \ \ \ 2\text{x}^2-3\text{xy}+\text{y}^2\\-7\text{x}\ \ -5\text{xy}-2\text{y}^2\\\underline{\ \ \ 4\text{x}^2\ +\text{xy}\ \ -6\text{y}^2}\\\underline{-\text{x}^2\ \ -7\text{xy}\ -7\text{y}^2}$
View full question & answer→Question 501 Mark
Write the constant term of:
$3x^2+ 5x + 8$
AnswerThe constant term is $8$
View full question & answer→Question 511 Mark
Add: $7y, -9y$
Answer$= 7y + (-9y) = 7y - 9y = -2y$
View full question & answer→Question 521 Mark
If $a = 2$ and $b = 3,$ find the value of: $a + b$
AnswerSubstituting $a = 2$ and $b = 3$ in the, given expression, we get: $a + b = 2 + 3 = 5$
View full question & answer→Question 531 Mark
Identify the monomials, binomials and trinomials in the following: $-2xyz$
AnswerThe given expression contains only one term, so it is monomial.
View full question & answer→Question 541 Mark
Write the constant term of: $\text{4y}^2-5\text{y}+\frac{3}{5}$
AnswerThe constant term is $\frac{3}{5}$
View full question & answer→Question 551 Mark
Write all the terms of the algebraic expressions:$9 x^3-5 z^4+7 x^3 y-x y z$
AnswerThe terms of the given expression $9 x^3-5 z^4+7 x^3 y-x y z$ are:
$9 x^3,-5 z^4, 7 x^3 y,-x y z$
View full question & answer→Question 561 Mark
Identity like terms in the following: $a b c, a b^2 c, a c b^2, c^2 a b, b^2 a c, a^2 b c, c a b^2$
AnswerWe have: $a b c, a b^2 c, a c b^2, c^2 a b, b^2 a c, a^2 b c, c a b^2$
Here like terms are $a b^2 c, a c b^2, b^2 a c, c a b^2$
View full question & answer→Question 571 Mark
Subtract: $5x$ from $2x$
Answer$5x$ from $2x = 2x - 5x = -3x$
View full question & answer→Question 581 Mark
Write the following using literals, numbers and signs of basic operations:
$5$ times $x$ added to $7$ times $y.$
Answer$5$ times $x$ added to $7$ times $y = (5 × x) + (7 × y)$, which is equal to $5x + 7y$
View full question & answer→Question 591 Mark
If $a = 2$ and $b = 3$, find the value of:
$2a – 3b$
AnswerSubstituting a = 2 and b = 3 in the, given expression, we get:
2a - 3b = 2 × 2 - 3 × 3
= 4 - 9 = - 5
View full question & answer→Question 601 Mark
Write the following using literals, numbers and signs of basic operations:
$2$ less than the quotient of $x$ by $y$ is $\frac{\text{x}}{\text{y}}-2$
Answer$x$ taken away from $4$ is $(4 - x)$
View full question & answer→Question 611 Mark
Identify the monomials, binomials and trinomials in the following: $a + b - 2c$
AnswerThe given expression contains three terms, so it is trinomial.
View full question & answer→Question 621 Mark
Identify the monomials, binomials and trinomials in the following:
$ -5x^3$
AnswerThe given expression contains only one term, so it is monomial.
View full question & answer→Question 631 Mark
Add the following: $\ \ \ \ \ \ \text{m}^2-4\text{m}+5\\-2\text{m}^2+6\text{m}-6\\\underline{-\ \ \ \text{m}^2-2\text{m}-7}\\\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$
Answer$\ \ \ \ \ \ \text{m}^2-4\text{m}+5\\-2\text{m}^2+6\text{m}-6\\\underline{-\ \ \ \text{m}^2-2\text{m}-7}\\\underline{-2\text{m}^2\ \ \ \ \ \ \ \ \ \ \ -8}$
View full question & answer→Question 641 Mark
Write the numerical coefficient of:
$-2x^3y^2z$
AnswerThe numerical coefficient of $-2x^3y^2z$ is $-2$
View full question & answer→Question 651 Mark
Write down the following in product form:
$6y^5$
AnswerWe can write:
$ 6y^5= 6 \times y \times y \times y \times y \times y$
View full question & answer→Question 661 Mark
Write down the following in product form:
$9xy^2z$
AnswerWe can write:
$ 9xy^2z = 9 \times x \times y \times y \times z$
View full question & answer→Question 671 Mark
Write the coefficient of: $y$ in $-5$
AnswerThe coefficient of y in -5y is -5
View full question & answer→Question 681 Mark
Write the following in exponential form: $3 \times z \times z \times z \times y \times y \times x$
AnswerWe can write:
$3 \times z \times z \times z \times y \times y \times x = 3z^3y^2x$
View full question & answer→Question 691 Mark
Subtract: $-7x$ from $9y$
Answer$-7x$ from $9y = 9y - (-7x) = 9y + 7x$
View full question & answer→Question 701 Mark
Write down the following in product form:
$10a^3b^3c^3$
AnswerWe can write:
$10a^3b^3c^3 = 10 \times a \times a \times a \times b \times b \times b \times c \times c \times c$
View full question & answer→Question 711 Mark
Write the following using literals, numbers and signs of basic operations:
$y$ decreased by $7$.
Answer$y$ decreased by $7$ is $(y - 7).$
View full question & answer→Question 721 Mark
Identity like terms in the following:
$a^2, b^2,-2 a^2, c^2, 4 a$
AnswerWe have:$a^2, b^2,-2 a^2, c^2, 4 a$
Here like terms are $a^2,-2 a^2$
View full question & answer→Question 731 Mark
Write the coefficient of:
$x^3$ in $x^3$
AnswerThe coefficient of $x^3$ in $x^3$ is $1$
View full question & answer→