Question 11 Mark
When $a = 0, b = –1$, find the value of the given expression: $a^2+a b+2$
Answer$=a^2+a b+2$
$=a^2+a b+2=(0)^2+(0)(-1)+2$
$=0+0+2$
$=2$
View full question & answer→Question 21 Mark
When $a = 0, b = – 1$, find the value of: $2 a^2 b+2 a b^2+a b$
AnswerThe given expression is: $2 a^2 b+2 a b^2+a b$
Put $\mathrm{a}=0$ and $\mathrm{b}=-1$, we get
$2 a^2 b+2 a b^2+a b=2(0)^2(-1)+2(0)(-1)^2+0(-1)$
$=2(0)(-1)+2(0)(1)+0$
$=0+0+0=0$
View full question & answer→Question 31 Mark
When $a = 0, b = – 1$, find the value of: $2 a^2+b^2+1$
AnswerThe given expression is: $2 a^2+b^2+1$
Put $a=0$ and $b=-1$, we get
$2 a^2+b^2+1=2(0)^2+(-1)^2+1$
$=2(0)+1+1$
$=0+1+1=2$
View full question & answer→Question 41 Mark
When $a = 0, b = – 1$, find the value of: $2a + 2b$
AnswerThe given expression is: $2a + 2b$
Put $a = 0$ and $b = -1$, we get
$2a + 2b = 2(0) + 2(-1)$
$= 0 - 2 = -2$
View full question & answer→Question 51 Mark
If $a = 2, b = –2$ find the value of $a^2-b^2$
Answer$a^2-b^2$
$a^2-b^2 = (2)^2 – (–2)^2 = 4 – 4 = 0$
View full question & answer→Question 61 Mark
If $a = 2, b = –2$ find the value of $a^2+a b+b^2$
Answer$=a^2+a b+b^2$
$=a^2+a b+b^2$
$=(2)^2+(2)(-2)+(-2)^2$
$=4-4+4=4+4-4$
$=8-4$
$=4$
View full question & answer→Question 71 Mark
If $a = 2, b = –2$ find the value of $a^2+b^2$
Answer$a^2+b^2$
$a^2+b^2 = (2)^2 + (– 2)^2 = 4 + 4 = 8$
View full question & answer→Question 81 Mark
If $m = 2$, find the value of $\frac{5 m}{2}$-4
Answer$\frac{5 m}{2} - 4 = \frac{5 \times 2}{2} - 4 = 5 - 4 = 1$
View full question & answer→Question 91 Mark
Find the value of the expression $2x^2 – x – 2$, when $x = –1$
AnswerThe given expression is: $2 x^2-x-2$
Put $x=-1$, we get
$2 x^2-x-2=2(-1)^2-(-1)-2$
$=2(1)+1-2$
$=2+1-2$
$=3-2=1$
View full question & answer→Question 101 Mark
If $m = 2,$ find the value of $3 m^2-2 m-7$
Answer$3 m^2-2 m-7 = 3 (2)^2 – 2(2) – 7 = 3(4)– 4 – 7 = 12-4-7= 1$
View full question & answer→Question 111 Mark
Find the value of the expression $x^2+2 x+1$, when $x=-1$
AnswerThe given expression is: $\mathrm{x}^2+2 \mathrm{x}+1$
Put $x=-1$, we get
$x^2+2 x+1=(-1)^2+2(-1)+1$
$=1-2+1$
$=2-2=0$
View full question & answer→Question 121 Mark
If $m = 2$, find the value of $9 – 5m$
Answer$9 – 5m = 9 – 5 \times 2 = 9 –10 = –1$
View full question & answer→Question 131 Mark
Find the value of the expression: $– x + 2$, when $x = –1$
AnswerThe given expression is: $- x + 2$
Put $x = -1$, we get
$- x + 2= - (-1) + 2$
$= 1 + 2 = 3$
View full question & answer→Question 141 Mark
If $m = 2$, find the value of $3m – 5$
Answer$3m – 5$
$3m – 5 = 3 \times 2 – 5 = 6 – 5 = 1$
View full question & answer→Question 151 Mark
Find the value of the expression $2x – 7$, when $x = –1$
Answer$2x – 7$
$2x – 7 = 2 (–1) – 7 = –2 – 7 = –9$
View full question & answer→Question 161 Mark
If $m = 2$, find the value of $m – 2$
Answer$m – 2$
$m – 2 = 2 – 2 = 0$
View full question & answer→Question 171 Mark
If $p = –2$, find the value of $-3 p^2+4 p+7$
Answer$-3 p^2+4 p+7$
$-3 p^2+4 p+7=-3(-2)^2+4(-2)+7$
$=-12-8+7=-20+7=-13$
View full question & answer→Question 181 Mark
If $p = –2$, find the value of $4p + 7$
Answer$4p + 7$
$4p + 7 = 4(– 2)+ 7 = – 8 + 7 = –1$
View full question & answer→Question 191 Mark
State whether the pair of terms is like or unlike: $12 x z, 12 x^2 z^2$
Answer$12 x z, 12 x^2 z^2$
As term $12 x z$ has algebraic factors $x$ and $z$ but term $12 x^2 y^2$ has algebraic factors $x, x, y$ and $y$. So, both terms are unlike.
View full question & answer→Question 201 Mark
State whether the pair of terms is like or unlike: $4 m^2 p, 4 mp^2$
Answer$4 m^2 p, 4 mp^2$
As term $4 m^2 p$ has algebraic factors $m, m$ and $p$ but term $4 m p^2$ has algebraic factors $m, p$ and $p$. So, both terms are unlike.
View full question & answer→Question 211 Mark
State whether the pair of terms is like or unlike: $14xy, 42yx$
Answer$14xy, 42yx$
As both term have same algebraic factors as x and y, the pair of terms is like.
View full question & answer→Question 221 Mark
State whether the pair of expressions is of like or unlike terms: $-29x, -29y$
Answer$29x, -29y$
As both terms don’t have the same algebraic factor (As $-29x$ has $x$ and $-29$ and $-29y$ has $y$ and $-29)$, the terms are unlike.
View full question & answer→Question 231 Mark
State whether the pair of expressions given are of like or unlike terms:$ -7x, \frac{5x}{2}$
Answer$-7x, \frac{5x}{2}$ As each expression contains only a single term, so the expressions are simply of like terms.
View full question & answer→Question 241 Mark
State whether the pair of expressions given is of like or unlike terms: $1, 100$
Answer$1, 100$
As each expression contains only a single term, so the expressions are simply of like terms.
View full question & answer→Question 251 Mark
Classify into monomials, binomials and trinomials: $z^2-3 z+8$
Answer$z^2-3 z+8$
As the expression contains three terms, it is a Trinomial.
View full question & answer→Question 261 Mark
Classify into monomials, binomials and trinomials: $7\ mn$
Answer$7\ mn$
As the expression contains only one term, it is a Monomial.
View full question & answer→Question 271 Mark
Classify into monomials, binomials and trinomials: $4 p^2 q-4 p q^2$
Answer$4 p^2 q-4 p q^2$.
As the expression contains two terms, it is a Binomial.
View full question & answer→Question 281 Mark
Classify into monomials, binomials and trinomials: $5 – 3t$
Answer$5 – 3t$
As the expression contains two terms, it is a Binomial.
View full question & answer→Question 291 Mark
Classify into monomials, binomials and trinomials: $ab – a – b$
Answer$ab – a – b$
As the expression contains three terms, it is a Trinomial.
View full question & answer→Question 301 Mark
Classify into monomials, binomials and trinomials: $100$
Answer$100$ is a constant polynomial.
As the expression contains only one term, it is a Monomial.
View full question & answer→Question 311 Mark
Classify into monomials, binomials and trinomials: $x + y – xy$
Answer$x + y – xy$
As the expression contains three terms expression is Trinomial.
View full question & answer→Question 321 Mark
Classify whether the expression given is monomial, binomial or trinomial: $y^2$
Answer$y^2$.
As the expression contains only one term expression is Monomial.
View full question & answer→Question 331 Mark
Classify into monomials, binomials and trinomials: $1+x+x^2$
Answer$1+x+x^2$
As the expression contains three terms, it is a Trinomial.
View full question & answer→Question 341 Mark
Classify into monomials, binomials and trinomials: $z^2+z$
Answer$z^2+z$
As the expression contains two terms, it is a Binomial.
View full question & answer→Question 351 Mark
Classify into monomials, binomials and trinomials: $a^2+b^2$
Answer$a^2+b^2$
As the expression contains two terms, it is a Binomial.
View full question & answer→Question 361 Mark
Classify into monomials, binomials and trinomials: $4y - 7z$
Answer$4y – 7z.$
As the expression contains two terms expression is Binomial.
View full question & answer→Question 371 Mark
Identify the term which contains $x$ in $5 y^2+7 x$ and write the coefficient of $x.$
AnswerRequired Term $= 7x$
and Required Coefficient $= 7$
View full question & answer→Question 381 Mark
Identify the term which contains $y^2$ in $8-x y^2$ and write the coefficient of $y^2$.
AnswerRequired Term $=-x y^2$
and Required Coefficient $=-\mathrm{x}$
View full question & answer→Question 391 Mark
Identify term which contains $x$ in the expression: $7 x+x y^2$ also find the coefficient of $x.$
AnswerTerm $= 7x.$
Coefficients $= 7.$
View full question & answer→Question 401 Mark
Identify the term which contains $x$ in $12 x y^2+25$, and write the coefficient of $x.$
AnswerRequired Term = $12 x y^2$
Required Coefficient = $12 y^2$
View full question & answer→Question 411 Mark
Identify terms which contain $x$ in $1 + x + xy$, and write the coefficients of $x$ in those terms.
AnswerTerms containing $x$ are: $xy$
$\therefore$ Required Coefficients are: $1$ and $y$
View full question & answer→Question 421 Mark
Identify the terms which contain $x$, in the expression $5 + z + zx$, and write the coefficient of $x.$
AnswerThe required term $= xz$
and The required Coefficient $= z$
View full question & answer→Question 431 Mark
Identify the term which contains $x$ in $x + y + 2$, and write the coefficient of $x.$
AnswerRequired Term $= x$
Required Coefficient $= 1$
View full question & answer→Question 441 Mark
In the expression $13 y^2-8 y x$, Identify the term which contains $x$ and write the coefficient of $x.$
AnswerRequired Term $= 8yx$
Required Coefficient $= -8y$
View full question & answer→Question 451 Mark
Identify the terms which contain $x$ in the expression: $2 x y-15 x y^2+7 y^2$ and write the coefficient of $x.$
AnswerRequired Terms are: $2 x y,-15 x y^2$
Hence, Required Coefficients $=2 \mathrm{y},-15 \mathrm{y}^2$
View full question & answer→Question 461 Mark
Identify the term which contains $x$ in the expression $y^2 x+y$ also write the coefficient of $x.$
AnswerTerm $= y^2 x$.
Coefficient $= y^2$.
View full question & answer→Question 471 Mark
Identify the numerical coefficients of terms other than constants in $0.1 y+0.01 y^2$
AnswerTerms other than constants are: $0.1 \mathrm{y}, 0.01 \mathrm{y}^2$
$\therefore$ Required Coefficients $=0.1,0.01$
View full question & answer→Question 481 Mark
Identify the numerical coefficients of terms other than constants in $2(l + b)$
AnswerTerms other than constants are: $2l, 2b$
$\therefore$ Required Coefficients $= 2, 2$
View full question & answer→Question 491 Mark
Identify the numerical coefficient of term $3.14 r^2$
AnswerRequired Coefficient $= 3.14$
View full question & answer→Question 501 Mark
Identify the numerical coefficients of terms other than constants in $1.2a + 0.8b$
AnswerTerms other than constants are: $1.2a, 0.8b$
$\therefore$ Required Coefficients $= 1.2, 0.8$
View full question & answer→