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 × b × b × ….15 times
AnswerWe can write: b × b × b × ….15 times = $b^{15}$
View full question & answer→Question 61 Mark
If $a=2$ and $b=3$, find the value of: $a^2+a b$
AnswerSubstituting $a=2$ and $b=3$ in the, given expression, we get:
$a^2+a b=(2)^2+2 \times 3$
$=4+6=10$
View full question & answer→Question 71 Mark
Write down the following in product form: $x^2 y^4$
AnswerWe can write: $x^2 y^4=x \times x \times y \times y \times y \times y$
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 × 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
Answer= 3x + 7x
= 3x + 7x = 10x
View full question & answer→Question 121 Mark
View full question & answer→Question 131 Mark
Write the constant term of: $2 x^2-9$
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.
Answerx 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: $a x^3+b x^2+c x+d$
AnswerThe given expression contains four terms, so it is none of monomial, binomial and trinomial.
View full question & answer→Question 171 Mark
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: $14 \times a \times a \times a \times a \times b \times b \times b=14 a^4 b^3$
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 $(3 \times x)+(y \times y)=3 x+y^2$
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: $a b-a^2$
AnswerSubstituting $a=2$ and $b=3$ in the, given expression, we get: $a b-a^2=2 \times 3-(2)^2=6-4=2$
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
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: $6 \times x \times x \times y \times y=6 x^2 y^2$
View full question & answer→Question 261 Mark
Write the following in exponential form: $y \times y \times y \times \ldots .20$ times
AnswerWe can write:y $\times$ y $\times$ y $\times \ldots .20$ 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.
Answerx 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: $a ^3- b ^3=(2)^3-(3)^3=2 \times 2 \times 2-3 \times 3 \times 3=8-27=-$ 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.
Answerx 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: $5+7 x^3 y^3 z^3$
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.
Answer$x$ cubed less than $y$ cubed is $(y \times y \times y)-(x \times x \times x)=y^3-x^3$
View full question & answer→Question 401 Mark
Answer-xy from 6xy
= 6xy - (-xy)
= 6xy + xy = 7xy
View full question & answer→Question 411 Mark
Write the constant term of:
$\text{z}^3-2\text{z}^2+\text{z}-\frac{8}{3}$
AnswerThe 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: $5 a^2-2 a b$
AnswerSubstituting $a =2$ and $b =3$ in the, given expression,we get:
$5 a^2-2 a b=5 \times(2)^2-2 \times 2 \times 3$
$=5 \times 4-4 \times 3$
$=20-12=8$
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 $-2 x y^2, 5 y^2 x$
View full question & answer→Question 461 Mark
Subtract: $10 x^2$ from $-7 x^2$
Answer$10 x^2$ from $-7 x^2=-7 x^2-10 x^2=-17 x^2$
View full question & answer→Question 471 Mark
Write the coefficient of: $y^2$ in $8 x y^2 z$
AnswerThe coefficient of $y^2$ in $8 x y^2 z$ is $8 x z$
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: $3 x^2+5 x+8$
View full question & answer→Question 511 Mark
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
Answer5x 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.
Answer5 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 $\frac{\text{x}}{\text{y}}-2$
Answerx 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: $-2 x^3 y^2 z$
AnswerThe numerical coefficient of $-2 x^3 y^2 z$ is -2
View full question & answer→Question 651 Mark
Write down the following in product form:
$6 y^5$
AnswerWe can write:
$6 y^5=6 \times y \times y \times y \times y \times y$
View full question & answer→Question 661 Mark
Write down the following in product form:
$9 x y^2 z$
AnswerWe can write:
$9 x y^2 z=9 \times x \times y \times y \times z$
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
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.
Answery decreased by 7 is (y - 7).
View full question & answer→Question 721 Mark
Identity like terms in the following:
$a^2, b^2, -2a^2, c^2, 4a$
AnswerWe have: $a^2, b^2, -2a^2, c^2, 4a$
Here like terms are $a^2, -2a^2$
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→