Question 11 Mark
Write all the terms of the following algebraic expressions: $3x$
AnswerThe terms of the given algebraic expressions are as follows: $3x$ is the only term of the given algebraic expression.
View full question & answer→Question 21 Mark
Evaluate the following algebraic expressions for $x = 1, y = -1, z = 2, a = -2, b = 1, c = -2:$
$a x^2+b y^2-c z$
AnswerWe have $\mathrm{x}=1, \mathrm{y}=-1, \mathrm{z}=2, \mathrm{a}=-2, \mathrm{~b}=1$ and $\mathrm{c}=-2$.
Thus,
$a x^2+b y^2-c z^2$
$=(-2)(1)^2+(1)(-1)^2-(-2)(2)^2$
$=-2 \times 1+1-(-2 \times 4)$
$=-2+1-(-8)$
$=-2+1+8$
$=-2+9$
$=7$
View full question & answer→Question 31 Mark
Write the coefficient of:
$x^3$ in $x^3+1$
AnswerThe coefficients are as follows: The coefficient of $x^3$ is $1$.
View full question & answer→Question 41 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign: $3x - 2y - 5z - 4$
AnswerWe have, $3x - 2y - 5z - 4 = 3x - 2y - (5z + 4)$
View full question & answer→Question 51 Mark
Write all the terms of the following algebraic expressions:
$2 x^2-7$
AnswerThe terms of the given algebraic expressions are as follows:
$2 x^2$ and $-7$ are the terms of the given algebraic expression.
View full question & answer→Question 61 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$a^2+b^2-c^2+a b-3 a c$
AnswerWe have,
$a^2+b^2-c^2+a b-3 a c$
$=a^2+b^2-c^2-(-a b+3 a c)$
View full question & answer→Question 71 Mark
Write the coefficient of $x$ in the following:$-7ax$
AnswerThe coefficients of $x$ are as follows: The numerical coefficient of $x$ is $-7a$.
View full question & answer→Question 81 Mark
Write the coefficient of: $y$ in $-3y$
AnswerThe coefficients are as follows: The coefficient of $y$ is $-3$.
View full question & answer→Question 91 Mark
Write the constant term of the following algebraic expressions:
$x^2 y-x y^2+7 x y-3$
AnswerThe constant term of the given algebraic expressions is as follows:
The constant term in the given algebraic expressions is $-3$.
View full question & answer→Question 101 Mark
Write the numerical coefficient of the following: $-6yz$
AnswerThe numerical coefficient of the given terms is as follows: The numerical coefficient in the term $-6yz$ is $-6.$
View full question & answer→Question 111 Mark
Subtract:
$7 a^2 b$ from $3 a^2 b$
AnswerRequired expression:
$=3 a^2 b-7 a^2 b$
$=(3-7) a^2 b$
$=-4 a^2 b$
View full question & answer→Question 121 Mark
Simplify the following:
$12 a^2 b+3 b a^2$
AnswerSimplifying the given expressions,
We have,
$12 a^2 b+3 b a^2$
$=(12+3) a^2 b$
$=15 a^2 b$
View full question & answer→Question 131 Mark
Write the coefficient of $2$ in the following:
$\frac57\text{x}^2\text{z}$
AnswerThe coefficient of $x^2$ is as follows:
The numerical coefficient of $x^2$ is $\frac{5}{7} z$.
View full question & answer→Question 141 Mark
Write the numerical coefficient term in the following algebraic expressions: $-\frac{5}{3}\text{x}^2\text{y}+\frac74\text{xyz}+3$
AnswerThe numerical coefficient term in the given algebraic expression is as follows.
| Term |
Coefficient |
| $-\frac53\text{x}^2\text{y}$ |
$-\frac53$ |
| $\frac74\text{xyz}$ |
$\frac74$ |
| $3$ |
$3$ |
View full question & answer→Question 151 Mark
Write the coefficient of $x$ in the following:$-12x$
AnswerThe coefficients of $x$ are as follows: The numerical coefficient of $x$ is $-12$.
View full question & answer→Question 161 Mark
Write the following statements by using appropriate grouping symbols: Three times the sum of $2x + y - [5 - (x - 3y)]$ and $7x - 4y + 3$ is subtracted from $3x - 4y + 7$
AnswerThree times the sum of $2x + y - {5 - (x - 3y)}$ and $7x - 4y + 3 = 3[(2x + y - {5 - (x - 3y)}) + (7x - 4y + 3)]$
This is subtracted from $3x - 4y + 7$
Thus, the required expression is $(3x - 4y + 7) - 3[(2x + y - {5 - (x - 3y)}) + (7x - 4y + 3)]$
View full question & answer→Question 171 Mark
Write the coefficient of $2$ in the following:
$-3 x^2$
AnswerThe coefficient of $x^2$ is as follows:
The numerical coefficient of $x^2$ is $-3.$
View full question & answer→Question 181 Mark
Identify the like terms in the following algebraic expressions:
$a b c+a b^2 c+2 a c b^2+3 c^2 a b+b^2 a c-2 a^2 b c+3 c a b^2$
AnswerThe like terms in the given algebraic expressions are as follows:
The like terms in the given algebraic expressions are $a b^2 c, 2 a c b^2, b^2 a c$ and $3 c a b^2$.
View full question & answer→Question 191 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:
$a x^3+b x^2+c x+d$
AnswerThe quadrinomial are as follows:
$a x^3+b x^2+c x+d$ is a quadrinomial expression as it contains four terms.
View full question & answer→Question 201 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:
$a^2-b^2$
AnswerThe binomial are as follows:
$a^2-b^2$ is a binomial expression as it contains two terms.
View full question & answer→Question 211 Mark
Add the following: $3x$ and $7x$
AnswerWe have, $3x + 7x = (3 + 7)x = 10x$
View full question & answer→Question 221 Mark
Write the following statements by using appropriate grouping symbols: The sum of $a - b$ and $3a - 2b + 5$ is subtracted from $4a + 2b - 7.$
AnswerThe sum of $a - b$ and $3a - 2b + 5 = [(a - b) + (3a - 2b + 5)]$
This is subtracted from $4a + 2b - 7$
Thus, the required expression is $(4a + 2b - 7) - [(a - b) + (3a - 2b + 5)]$
View full question & answer→Question 231 Mark
Write the coefficient of $x$ in the following:$-7xy$
AnswerThe coefficients of $x$ are as follows: The numerical coefficient of $x$ is $-7y$.
View full question & answer→Question 241 Mark
Write the numerical coefficient of the following: $7abc$
AnswerThe numerical coefficient of the given terms is as follows: The numerical coefficient in the term $7abc$ is $7$.
View full question & answer→Question 251 Mark
Simplify the following:
$7 x^3 y+9 y x^3$
AnswerSimplifying the given expressions,
We have,
$7 x^3 y+9 y x^3$
$=(7+9) x^3 y$
$=16 x^3 y$
View full question & answer→Question 261 Mark
Write the coefficient of: $z$ in $-7xyz$
AnswerThe coefficients are as follows: The coefficient of $z$ is $-7xy.$
View full question & answer→Question 271 Mark
Write the constant term of the following algebraic expressions:
$a^3-3 a^2+7 a+5$
AnswerThe constant term of the given algebraic expressions is as follows:
The constant term in the given algebraic expressions is $5$.
View full question & answer→Question 281 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: $2x - 3y + 4$
AnswerThe trinomial are as follows: $2x - 3y + 4$ is a trinomial expression as it contains three terms.
View full question & answer→Question 291 Mark
Write all the terms of the following algebraic expressions:
$2 x^2+y^2-3 x y+4$
AnswerThe terms of the given algebraic expressions are as follows:
$2 x^2, y^2,-3 x y$ and $4$ are the terms of the given algebraic expression.
View full question & answer→Question 301 Mark
Write the coefficient of: $p$ in $-3pqr$
AnswerThe coefficients are as follows: The coefficient of $p$ is $-3pr.$
View full question & answer→Question 311 Mark
Write the coefficient of:
$x^2$ in $-x^2$
AnswerThe coefficients are as follows:
The coefficient of $-x^2$ is $-1.$
View full question & answer→Question 321 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign: $x + y - 3z + y$
AnswerWe have, $x + y - 3z + y = x + y - (3z - y)$
View full question & answer→Question 331 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: $xy + yz + zx$
AnswerThe trinomial are as follows: $xy + yz + zx$ is a trinomial expression as it contains three terms.
View full question & answer→Question 341 Mark
Subtract: $4xy$ from $-3xy$
AnswerRequired expression: $= -3xy - 4xy = -7xy$
View full question & answer→Question 351 Mark
Write the numerical coefficient of the following:
$-2 x^3 y^2 z$
AnswerThe numerical coefficient of the given terms is as follows:
The numerical coefficient in the term $-2 x^3 y^2 z$ is $-2$.
View full question & answer→Question 361 Mark
Write the numerical coefficient term in the following algebraic expressions: $4\text{x}^2\text{y}-\frac32\text{xy}+\frac52\text{xy}^2$
AnswerThe numerical coefficient term in the given algebraic expression is as follows.
| Term |
Coefficient |
| $\text{4x}^2\text{y}$ |
$4$ |
| $-\frac32\text{xy}$ |
$-\frac32$ |
| $\frac{5}{2}\text{xy}^2$ |
$\frac52$ |
View full question & answer→Question 371 Mark
Identify the terms and also mention the numerical coefficients of those terms:
$4 x y,-5 x^2 y,-3 y x, 2 x y^2$
Answer
|
Like terms
|
Numerical coefficients
|
|
$-4xy, -3yx$
|
$-4, -3$
|
View full question & answer→Question 381 Mark
Evaluate the following algebraic expressions for $x = 1, y = -1, z = 2, a = -2, b = 1, c = -2: ax + by + cz$
AnswerWe have $x = 1, y = -1, z = 2, a = -2, b = 1$ and $c = -2.$
Thus, $ax + by + cz = (-2)(1) + (1)(-1) + (-2)(2) = -2 - 1 - 4 = -7$
View full question & answer→Question 391 Mark
Write the coefficient of:
$y^2$ in $9 x y^2 z$
AnswerThe coefficients are as follows:
The coefficient of $y^2$ is $9 x z$.
View full question & answer→Question 401 Mark
Write the coefficient of: $a$ in $2ab$
AnswerThe coefficients are as follows: The coefficient of $a$ is $2ab$.
View full question & answer→Question 411 Mark
Write the numerical coefficient of the following: $xy$
AnswerThe numerical coefficient of the given terms is as follows: The numerical coefficient in the term $xy$ is $1$.
View full question & answer→Question 421 Mark
Add the following: $-5xy$ and $9xy$
AnswerWe have, $-5xy + 9xy = (-5 + 9)xy = 4xy$
View full question & answer→Question 431 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: $abc + 1$
AnswerThe binomial are as follows: $abc + 1$ is a binomial expression as it contains two terms.
View full question & answer→Question 441 Mark
Write the coefficient of $2$ in the following:
$-\frac32\text{ax}^2+\text{yx}$
AnswerThe coefficient of $x^2$ is as follows:
The numerical coefficient of $x^2$ is $-\frac{3}{2} a$.
View full question & answer→Question 451 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:$3x - 2 + 5$
AnswerThe binomial are as follows: $3x - 2 + 5 = 3x + 3$ is a binomial expression as it contains two terms.
View full question & answer→Question 461 Mark
Write the coefficient of $x$ in the following:$xyz$
AnswerThe coefficients of $x$ are as follows: The numerical coefficient of $x$ is $yz.$
View full question & answer→Question 471 Mark
Subtract: $-2x$ from $-5y$
AnswerRequired expression: $= (-5y) - (-2x) = -5y + 2x$
View full question & answer→Question 481 Mark
Write the following statements by using appropriate grouping symbols:
The subtraction of $x^2-y^2+4 x y$ from $2 x^2+y^2-3 x y$ is added to $9 x^2-3 y^2-x y$.
AnswerThe product of subtraction of $x^2-y^2+4 x y$ from $2 x^2+y^2-3 x y$ is given by $\left[\left(2 x^2+y^2-3 x y\right)-\left(x^2-y^2\right.\right.$ $+4 \mathrm{xy})]$
When the above equation is added to $9 x^2-3 y^2-x y$, we get
$\left[\left(2 x^2+y^2-3 x y\right)-\left(x^2-y^2+4 x y\right)\right]+\left(9 x^2-3 y^2-x y\right)$
View full question & answer→Question 491 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign: $7a + 3b + 2c + 4$
AnswerWe have, $7a + 3b + 2c + 4 = 7a + 3b - (-2c - 4)$
View full question & answer→Question 501 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign: $3a - 2b + 4c - 5$
AnswerWe have, $3a - 2b + 4c - 5 = 3a - 2b - (-4c + 5)$
View full question & answer→Question 511 Mark
Identify the like terms in the following algebraic expressions:$\text{3x}+\text{4xy}-2\text{yz}+\frac{5}{2}\text{zy}$
AnswerThe like terms in the given algebraic expressions are as follows: The like terms in the given algebraic expressions are $-2yz$ and $\frac52\text{zy}.$
View full question & answer→Question 521 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:$7 + 5$
AnswerThe monomial are as follows:
$7 + 5 = 12$ is a monomial expression as it contains one term only.
View full question & answer→Question 531 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$2 a^2-b^2-3 a b+6$
AnswerWe have,
$2 a^2-b^2-3 a b+6$
$=2 a^2-b^2-(3 a b-6)$
View full question & answer→Question 541 Mark
Write all the terms of the following algebraic expressions: $2x - 3$
AnswerThe terms of the given algebraic expressions are as follows: $2x$ and $-3$ are the terms of the given algebraic expression.
View full question & answer→Question 551 Mark
Identify the like terms in the following algebraic expressions:
$a^2+b^2-2 a^2+c^2+4 a$
AnswerThe like terms in the given algebraic expressions are as follows:
The like terms in the given algebraic expressions are $a^2$ and $-2 a^2$.
View full question & answer→Question 561 Mark
Evaluate the following algebraic expressions for $x = 1, y = -1, z = 2, a = -2, b = 1, c = -2: axy + byz + cxy$
AnswerWe have $x = 1, y = -1, z = 2, a = -2, b = 1$ and $c = -2$.Thus,
$axy + byz + cxy$
$= (-2) × 1 × -1 + 1 × -1 × 2 + (-2) × 1 × (-1)$
$= 2 + (-2) + 2$
$= 4 - 2$
$= 2$
View full question & answer→Question 571 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:
$x^3+y^3+z^3$
AnswerThe trinomial are as follows:
$x^3+y^3+z^3$ is a trinomial expression as it contains three terms.
View full question & answer→Question 581 Mark
Identify the monomials, binomials, trinomials and quadrinomials from the following expressions:
$x^3+y^3+z^3+3 x y z$
AnswerThe quadrinomial are as follows:
$x^3+y^3+z^3+3 x y z$ is a quadrinomial expression as it contains four terms.
View full question & answer→Question 591 Mark
Evaluate the following expressions for $x = -2, y = -1, z = 3$: $\frac{\text{x}}{\text{y}}+\frac{\text{y}}{\text{z}}+\frac{\text{z}}{\text{x}}$
Answer$\frac{\text{x}}{\text{y}}+\frac{\text{y}}{\text{z}}+\frac{\text{z}}{\text{x}}$$=\frac{-2}{-1}+\frac{-1}{3}+\frac{3}{-2}$
$=\frac{12-2-9}{6}=\frac{1}{6}$
View full question & answer→Question 601 Mark
Subtract: $-4x$ from $3y$
AnswerRequired expression: $= (3y) - (-4x) = 3y + 4x$
View full question & answer→Question 611 Mark
Write the coefficient of $2$ in the following:
$5 x^2 y z$
AnswerThe coefficient of $x^2$ is as follows:
The numerical coefficient of $x^2$ is $5 y z$.
View full question & answer→Question 621 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$a^2+b^2-c^2+a b-3 a c$
Answer$a^2+b^2-c^2-(-a b+3 a c)$
View full question & answer→Question 631 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$2 a^2-b^2-3 a b+6$
Answer$2 a^2-b^2-(3 a b-6)$
View full question & answer→Question 641 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$7 a+3 b+2 c+4$
View full question & answer→Question 651 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$3 a-2 b+4 c-5$
View full question & answer→Question 661 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$3 x-2 y-5 z-4$
View full question & answer→Question 671 Mark
Place the last two terms of the following expressions in parentheses preceded by a minus sign:
$x+y-3 z+y$
View full question & answer→Question 681 Mark
Subtract: $-2 x$ from $-5 y$
View full question & answer→Question 691 Mark
Subtract: $4 x y$ from $-3 x y$
View full question & answer→Question 701 Mark
Subtract: $-4 x$ from $3 y$
View full question & answer→Question 711 Mark
Subtract: $7 a^2 b$ from $3 a^2 b$
View full question & answer→Question 721 Mark
Write the coefficient of:
$x^2$ in $-x^2$
View full question & answer→Question 731 Mark
Write the coefficient of:
$x^3$ in $x^3+1$
View full question & answer→Question 741 Mark
Write the coefficient of:
$y^2$ in $9 x y^2 z$
View full question & answer→Question 751 Mark
Write the coefficient of:
$p$ in -3pqr
View full question & answer→Question 761 Mark
Write the coefficient of:
$z$ in $-7 x y z$
View full question & answer→Question 771 Mark
Write the coefficient of:
$a$ in $2 a b$
View full question & answer→Question 781 Mark
Write the coefficient of:
$y$ in $-3 y$
View full question & answer→Question 791 Mark
Write all the term of the following algebraic expression:
$2 x^2+y^2-3 x y+4$
Answer$2 x^2, y^2,-3 x y, 4$
View full question & answer→Question 801 Mark
Write all the term of the following algebraic expression:
$2 x^2-7$
View full question & answer→Question 811 Mark
Write all the term of the following algebraic expression:
2x-3
Question 821 Mark
Write all the term of the following algebraic expression:
3x
Question 831 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$a x^3+b x^2+c x+d$
View full question & answer→Question 841 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$x y+y z+z x$
View full question & answer→Question 851 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$2 x-3 y+4$
View full question & answer→Question 861 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$3 x-2+5$
View full question & answer→Question 871 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$a b c+1$
View full question & answer→Question 881 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$7+5$
View full question & answer→Question 891 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$x^3+y^3+z^3+3 x y z$
View full question & answer→Question 901 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$x^3+y^3+z^3$
View full question & answer→Question 911 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$a^2-b^2$
View full question & answer→Question 921 Mark
Identify the monomial, binomial, trinomial and quadrinomial from the following expression:
$a^2$
View full question & answer→