Question 11 Mark
Simplify: 9x – (- 4x + 5)
Answer9x – (- 4x + 5)
= 9x + 4x – 5
= 13x - 5
View full question & answer→Question 21 Mark
Simplify: p + q – (p – q) + (2p – 3q)
Answerp + q – (p – q) + (2p – 3q)
= p + q – p + q + 2p – 3q
= 2p – q
View full question & answer→Question 31 Mark
Simplify: 2x – (x + 2y- z)
Answer2x – (x + 2y- z)
= 2x – x – 2y + z
= x – 2y + z
View full question & answer→Question 41 Mark
Simplify: 6a – 3 (a + b – 2)
Answer6a – 3 (a + b – 2)
= 6a – 3a – 3b + 6
= 3a - 3b + 6
View full question & answer→Question 51 Mark
Simplify: $9a (2b – 3a + 7c)$
Answer$9a (2b – 3a + 7c)$
$= 18ab – 27a^2 + 63ca$
View full question & answer→Question 61 Mark
Simplify: (p – 2q) – (3q – r)
Answer(p – 2q) – (3q – r)
=p – 2q – 3q + r
=p – 5q + r
View full question & answer→Question 71 Mark
Simplify: $\frac{2 \mathrm{x}}{5}+\frac{3 \mathrm{x}}{4}-\frac{3 \mathrm{x}}{5}$
Answer
$\begin{aligned} & \frac{2 x}{5}+\frac{3 x}{4}-\frac{3 x}{5} \quad . .(\text { LCM of } 5,4=20) \\ & \frac{8 x+15 x-12 x}{20}=\frac{23 x-12 x}{20}=\frac{11 x}{20}\end{aligned}$
View full question & answer→Question 81 Mark
Simplify: $\frac{\mathrm{k}}{2}+\frac{\mathrm{k}}{3}+\frac{2 \mathrm{k}}{5}$
Answer
$\begin{aligned} & \frac{\mathrm{k}}{2}+\frac{\mathrm{k}}{3}+\frac{2 \mathrm{k}}{5} \\ & \frac{15 \mathrm{k}+10 \mathrm{k}+12 \mathrm{k}}{30}=\frac{37 \mathrm{k}}{30} \ldots(\mathrm{LCM} \text { of } 2,3,5=30)\end{aligned}$
View full question & answer→Question 91 Mark
Simplify: $\frac{2 p}{3}-\frac{3 p}{5}$
Answer
$\begin{aligned} & \frac{2 p}{3}-\frac{3 p}{5} \\ & \frac{10 p-9 p}{15}=\frac{p}{15}\end{aligned}$
View full question & answer→Question 101 Mark
Simplify: $\frac{3 y}{4}-\frac{y}{5}$
Answer
$\begin{aligned} & \frac{3 y}{4}-\frac{y}{5} \\ & \frac{15 y-4 y}{20}=\frac{11 y}{20}\end{aligned}$
View full question & answer→Question 111 Mark
Simplify: $\frac{x}{2}-\frac{x}{8}$
Answer
$\begin{aligned} & \frac{x}{2}-\frac{x}{8} \\ & \frac{4 x-x}{8}=\frac{3 x}{8}\end{aligned}$
View full question & answer→Question 121 Mark
Simplify: $\frac{y}{4}+\frac{3 y}{5}$
Answer
$\begin{aligned} & \frac{y}{4}+\frac{3 y}{5} \\ & \frac{5 y+12 y}{20}=\frac{17 y}{20}\end{aligned}$
View full question & answer→Question 131 Mark
Simplify: $\frac{a}{10}+\frac{2 a}{5}$
Answer
$\begin{aligned} & \frac{a}{10}+\frac{2 a}{5} \\ & \frac{a+4 a}{10}=\frac{5 a}{10}=\frac{a}{2}\end{aligned}$
View full question & answer→Question 141 Mark
Simplify: $\frac{2 \mathrm{a}+1}{3}+\frac{3 \mathrm{a}-1}{2}$
Answer
$\begin{aligned} & \frac{2 \mathrm{a}+1}{3}+\frac{3 \mathrm{a}-1}{2} \\ & \left.=\frac{4 \mathrm{a}+2+9 \mathrm{a}-3}{6}=\frac{13 \mathrm{a}-1}{6} \text {..(LCM of } 3,2=6\right.)\end{aligned}$
View full question & answer→Question 151 Mark
Simplify: $\frac{x}{5}+\frac{x+1}{2}$
Answer
$\begin{aligned} & \frac{\mathrm{x}}{5}+\frac{\mathrm{x}+1}{2} \\ & =\frac{2 \mathrm{x}+5 \mathrm{x}+5}{10}=\frac{7 \mathrm{x}+5}{10} . .(\text { LCM of } 5,2=10)\end{aligned}$
View full question & answer→Question 161 Mark
Subtract the second expression from the first:
p + 2, 1
Answer(p + 2) - 1 = p + 2 - 1 = p + 1
View full question & answer→Question 171 Mark
Find the sum of: 11 and -by
Question 181 Mark
Find the sum of: $x^3+3 x^2 y$ and $2 y^2$
Answer$x^3+3 x^2 y$ and $2 y^2=x^3+3 x^2 y+2 y^2$
View full question & answer→Question 191 Mark
Find the sum of: + 4a and -7b
Question 201 Mark
Find the sum of: $-4 x^2$ and $+7 x$
View full question & answer→Question 211 Mark
Find the sum of: -2a and +5
Question 221 Mark
Find the sum of: x and 3y
Question 231 Mark
Add : - 3a + 2b and 3a + b
Answer- 3a + 2b and 3a + b
= - 3a + 3a + 2b + b
= 0 + 3b = 3b
View full question & answer→Question 241 Mark
Answer2x + y and 3x – 4y
= 2x + 3x + y - 4y
= 5x - 3y
View full question & answer→Question 251 Mark
Answer25zy - 8zy - 6zy
= 25zy - 14zy = 11zy
View full question & answer→Question 261 Mark
Answer3m + 12m – 5m
= 15m - 5m = 10m
View full question & answer→Question 271 Mark
Add : 18pq – 15pq and 3pq
Answer18pq – 15pq and 3pq
= 18pq + 3pq - 15pq = 21pq - 15pq = 6 pq
View full question & answer→Question 281 Mark
Add : $23 y^2, 8 y^2$ and $-12 y^2$
Answer$23 y^2, 8 y^2$ and $-12 y^2$
$=31 y^2-12 y^2=19 y^2$
View full question & answer→Question 291 Mark
Answer- 9x, 3x and 4x
= - 9x + 7x = - 2x
View full question & answer→Question 301 Mark
Write numerical co-efficient of the following: $-9 a^2 b^3$
AnswerCo-efficient of $-9 a^2 b^3$ is $=-9$
View full question & answer→Question 311 Mark
Write numerical co-efficient of the following: 3 py ${ }^{\text {at }}$
AnswerCo-efficient of $3 py ^2$ is $=3$
View full question & answer→Question 321 Mark
Write numerical co-efficient of the following: $-8 x y^3$
AnswerCo-efficient of $-8 x y^3$ is $=-8$
View full question & answer→Question 331 Mark
Write numerical co-efficient of the following: $2 x^2y$
AnswerCo-efficient of $2x^2y$ is = $2$
View full question & answer→Question 341 Mark
Write numerical co-efficient of the following: - y
Question 351 Mark
Write numerical co-efficient of the following: y
Question 361 Mark
Group the like term together: 7p, 8pq, – 5pq – 2p and 3p
Answer7p, – 2p and 3p are like terms,
8pq, – 5pq are like terms.
View full question & answer→Question 371 Mark
Group the like term together: $ab, – a^2b, – 3ab, 5a^2b$ and $– 8a^2b$
Answer$ab, – 3ab$, are like terms,
$– a^2b, 5a^2b, – 8a^2b$ are like terms
View full question & answer→Question 381 Mark
Group the like term together $: 9x^2, xy, – 3x^2, x^2$ and $– 2xy$
Answer$9x^2, – 3x^2$ and $x^2$ are like terms $xy$ and $– 2xy$ are like terms.
View full question & answer→Question 391 Mark
Write the degree of the following polynomial $: 2y^2z + 9yz^3$
AnswerThe degree of $2y^2z + 9yz^3$ is $4$ as $9yz^3$ has the highest degree.
View full question & answer→Question 401 Mark
Write the degree of the following polynomial: 3x – 15
AnswerThe degree of 3x – 15 is 1 as 3x is the term which is highest degree.
View full question & answer→Question 411 Mark
Write the degree of the following polynomial: $7 – 3x^2y + y^2$
AnswerThe degree of $7 – 3x^2y + y^2$ is $3$ as $– 3x^2y$ is the term which has the highest degree.
View full question & answer→Question 421 Mark
Write the degree of the following polynomial: $– 8mn^6+ 5m^3n$
AnswerThe degree of -$ 8mn^6 + 5m^3n$ is $7 as – 8mx^6$ is the term that has the highest degree.
View full question & answer→Question 431 Mark
Write the degree of the following polynomial: $p^3q^2 – 6p^2q^5 + p^4q^4$
AnswerThe degree of $p^3q^2 – 6p^2q^5 - p^4q^4$ is $8$ as $p^4 q^4$ is the term which has highest degree.
View full question & answer→Question 441 Mark
Write the degree of the following polynomial: $3y^3 -x^2y^2 + 4x$
AnswerThe degree of $3y^3 – x^2y^2+ 4x$ is $4$ as $x^2$
View full question & answer→Question 451 Mark
For the following monomials, write its degree: $– 2p^2q^3r^4$
AnswerDegree of $– 2p^2q^3r^4 = 2 + 3 + 4 = 9$
View full question & answer→Question 461 Mark
For the following monomials, write its degree: $3m^3n^4$
AnswerDegree of $3m^3n^4 = 3 + 4 = 7$
View full question & answer→Question 471 Mark
For the following monomials, write its degree: $– 9y^2z^3$
AnswerDegree of $– 9y^2z^3 = 2 + 3 = 5$
View full question & answer→Question 481 Mark
For the following monomials, write its degree $: xy^2z$
AnswerDegree of $xy^2z = 1 + 2 + 1 = 4$
View full question & answer→Question 491 Mark
For the following monomials, write its degree $: – x^2y$
AnswerDegree of $– x^2y = 2 + 1 = 3$
View full question & answer→Question 501 Mark
For the following monomials, write its degree: 7y