Express in the simplest form. \[\frac{9}{10}(30+5t)+\frac{5}{6}(18t-12)\]

\[\left( 17+\frac{39}{2}t \right)\]

Express in the simplest form \[{{\left( t+\frac{1}{t} \right)}^{2}}+4t={{\left( t-\frac{1}{t} \right)}^{2}}\]

\[2{{t}^{2}}+\frac{2}{{{t}^{2}}}+4t=0\]

On simplification the product\[\left( x-\frac{1}{x} \right)\]\[\left( x+\frac{1}{x} \right)\]\[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\]is

\[{{x}^{4}}+\frac{1}{{{x}^{4}}}\]

\[{{x}^{3}}-\frac{1}{{{x}^{3}}}\]

\[{{x}^{3}}+\frac{1}{{{x}^{3}}}\]

\[{{x}^{4}}-\frac{1}{{{x}^{4}}}\]

\[{{x}^{4}}+\frac{1}{{{x}^{4}}}\]

What is the value of\[a{{x}^{2}}+\text{ }bx+c\text{ }at\text{ }x=\frac{+b}{a}?\]

\[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]

Simplify \[{{\left( 2x+\frac{1}{3y} \right)}^{2}}-{{\left( 2x-\frac{1}{3y} \right)}^{2}}\]

\[2\left( 4{{x}^{2}}+\frac{1}{9{{y}^{2}}} \right)\]

Match the following. Column-A Column-B (i) \[4{{m}^{2}}p,\,\,4m{{p}^{2}}\] (a) Binomial (ii) \[3x-2\] (b) Unlike terms (iii) \[-7,\,\,\frac{15}{2}z\] (c) Trinomial (iv) \[1+y+{{y}^{2}}\] (d) Like terms

(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)

(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)

(i) - (b), (ii) - (a), (iii) - (d), (iv) - (c)

(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)

(i) - (b), (ii) - (c), (iii) - (a), (iv) - (d)

Multiply: \[\left( 4x+\frac{3y}{5} \right)\] and \[\left( 3x-\frac{4y}{5} \right)\]

\[12{{x}^{2}}+\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]

\[12{{x}^{2}}+\frac{7xy}{5}+\frac{12{{y}^{2}}}{5}\]

\[12{{x}^{2}}-\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]

Which of the following products is equal to\[25{{x}^{2}}-30xy+9{{y}^{2}}?\]

\[\text{(}3x-5y\text{)(}3x-5y\text{)}\]

\[\text{(}5x+3y\text{)(}5x+3y\text{)}\]

\[\text{(}5x-3y\text{)(}5x-3y\text{)}\]

\[\text{(}3x-5y\text{)(}3x-5y\text{)}\]

\[\text{(}3x+5y\text{)(}3x+5y\text{)}\]

Find the product of\[(12{{m}^{2}}n-3m{{n}^{2}}-1)\] and \[6{{m}^{2}}{{n}^{2}}.\]

\[24{{m}^{4}}{{n}^{3}}-15{{m}^{3}}{{n}^{4}}-5{{m}^{2}}{{n}^{2}}\]

\[72{{m}^{4}}{{n}^{3}}-18{{m}^{3}}{{n}^{4}}-6{{m}^{2}}{{n}^{2}}\]

\[24{{m}^{4}}{{n}^{3}}-15{{m}^{3}}{{n}^{4}}-5{{m}^{2}}{{n}^{2}}\]

\[60{{m}^{4}}{{n}^{3}}-16{{m}^{3}}{{n}^{4}}-4{{m}^{2}}{{n}^{2}}\]

\[48{{m}^{4}}{{n}^{3}}-12{{m}^{3}}{{n}^{4}}-8{{m}^{2}}{{n}^{2}}\]

Which system of equations represents the following statements? The sum of two numbers is ten. One number is five times the other.

\[\begin{matrix} x+y=10\\ y=x+5\\ \end{matrix}\]

\[\begin{matrix} xy=10\\ y=5x\\ \end{matrix}\]

\[\begin{matrix} xy=10\\ y=x+5\\ \end{matrix}\]

\[\begin{matrix} x+y=10\\ y=5x\\ \end{matrix}\]

\[\begin{matrix} x+y=10\\ y=x+5\\ \end{matrix}\]

The product of \[\left( \mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\] and \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+3}{{\mathbf{y}}^{\mathbf{2}}} \right)\] is_____.

\[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]

\[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\]

\[6{{x}^{5}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]

\[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\]

Which one of the following expressions is equal to \[\mathbf{64}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+9}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-48xy}\]?

\[{{\left( 5x-2y \right)}^{2}}\]

\[{{\left( 8x+3y \right)}^{2}}\]

\[{{\left( 5x-y \right)}^{2}}\]

\[{{\left( 8x-3y \right)}^{2}}\]

\[{{\left( 5x-2y \right)}^{2}}\]

What must be subtracted from \[\mathbf{4p}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-2pq-v+5}\,\,\mathbf{to}\,\,\mathbf{get}\,\,\mathbf{-}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{+pq-8}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{-2v+6}\]?

\[5{{q}^{2}}-3pq+8pq+2{{q}^{2}}+v-1\]

\[4p{{x}^{2}}+3{{q}^{2}}-3pq+v-1\]

\[5{{q}^{2}}-3pq+8pq+2{{q}^{2}}+v-1\]

\[-5\,{{p}^{2}}+3pq-2{{q}^{2}}-v+1\]

\[-3{{p}^{2}}+p\,q+14{{q}^{2}}+3v-11\]

Which algebraic expression correctly represents the statement: the square of the product of numbers x and y subtracted from the square of their sum?

\[{{x}^{2}}{{y}^{2}}-{{\left( x+y \right)}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}-{{x}^{2}}{{y}^{2}}\]

\[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\]

\[{{\left( x+y \right)}^{2}}-{{x}^{2}}{{y}^{2}}\]

\[{{x}^{2}}{{y}^{2}}-{{\left( x+y \right)}^{2}}\]

An expression is taken away from \[3{{x}^{2}}-4{{y}^{2}}+5xy+20\] to obtain \[-{{x}^{2}}-{{y}^{2}}+6xy+20,\]then the expression is ____.

\[2{{x}^{2}}-5{{y}^{2}}+xy+40\]

If \[A\text{ }=\text{ }7{{m}^{2}}+3mn-8{{n}^{2}},\text{ }B\text{ }=-4{{m}^{2}}+mn\]\[+4{{n}^{2}}\]and C = 3n2 - 4m2 - 4mn. Then find the value of A + B + C.

\[-\left( {{m}^{2}}+{{n}^{2}} \right)\]

94 + Mcqs in Algebraic Expressions - 854 in Mathematics Page 1 McqOptions

1.	Express in the simplest form. \[\frac{9}{10}(30+5t)+\frac{5}{6}(18t-12)\]
A.	\[-17+\frac{39}{2}t\]
B.	\[17t-\frac{39}{2}\]
C.	\[\left( 17+\frac{39}{2}t \right)\]
D.	\[17t+\frac{39}{2}\]
Answer» D. \[17t+\frac{39}{2}\]

Discussion

2.	Simplify\[\frac{4}{11}(132x+88)+\frac{3}{11}(66x-66)\]
A.	\[66x+14\]
B.	\[66x-14\]
C.	\[66x-14x\]
D.	\[66+14x\]
Answer» B. \[66x-14\]

Discussion

3.	Express in the simplest form \[{{\left( t+\frac{1}{t} \right)}^{2}}+4t={{\left( t-\frac{1}{t} \right)}^{2}}\]
A.	\[2{{t}^{2}}+\frac{2}{{{t}^{2}}}+4t=0\]
B.	4
C.	\[4t+4=0\]
D.	\[2t+2=0\]
Answer» D. \[2t+2=0\]

Discussion

4.	If \[p+\frac{9}{5}(30-p)=10\]then find ?p?:
A.	\[-50\]
B.	55
C.	\[-50\]
D.	50
Answer» C. \[-50\]

Discussion

5.	On simplification the product\[\left( x-\frac{1}{x} \right)\]\[\left( x+\frac{1}{x} \right)\]\[\left( {{x}^{2}}+\frac{1}{{{x}^{2}}} \right)\]is
A.	\[{{x}^{3}}-\frac{1}{{{x}^{3}}}\]
B.	\[{{x}^{3}}+\frac{1}{{{x}^{3}}}\]
C.	\[{{x}^{4}}-\frac{1}{{{x}^{4}}}\]
D.	\[{{x}^{4}}+\frac{1}{{{x}^{4}}}\]
Answer» D. \[{{x}^{4}}+\frac{1}{{{x}^{4}}}\]

Discussion

6.	If \[5x-\frac{1}{2x}=6,\] then the value of \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\] is:
A.	31
B.	37
C.	39
D.	41
Answer» E.

Discussion

7.	What is the value of\[a{{x}^{2}}+\text{ }bx+c\text{ }at\text{ }x=\frac{+b}{a}?\]
A.	a
B.	\[{{b}^{2}}-4ac\]
C.	\[c+\frac{2{{b}^{2}}}{a}\]
D.	\[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]
Answer» D. \[25{{x}^{2}}+\frac{1}{4{{x}^{2}}}\]

Discussion

8.	Simplify \[{{\left( 2x+\frac{1}{3y} \right)}^{2}}-{{\left( 2x-\frac{1}{3y} \right)}^{2}}\]
A.	\[\frac{4x}{3y}\]
B.	\[2\left( 4{{x}^{2}}+\frac{1}{9{{y}^{2}}} \right)\]
C.	\[\frac{8x}{3y}\]
D.	\[\frac{4y}{3x}\]
Answer» D. \[\frac{4y}{3x}\]

Discussion

9.	Match the following. Column-A Column-B (i) \[4{{m}^{2}}p,\,\,4m{{p}^{2}}\] (a) Binomial (ii) \[3x-2\] (b) Unlike terms (iii) \[-7,\,\,\frac{15}{2}z\] (c) Trinomial (iv) \[1+y+{{y}^{2}}\] (d) Like terms
A.	(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)
B.	(i) - (b), (ii) - (a), (iii) - (d), (iv) - (c)
C.	(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)
D.	(i) - (b), (ii) - (c), (iii) - (a), (iv) - (d)
Answer» C. (i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)

Discussion

10.	If \[K=\frac{x-m}{x-n},\] find the value of\[x\].
A.	\[\frac{nK-m}{K-1}\]
B.	\[\frac{K-m}{K-n}\]
C.	\[\frac{K+m}{K+n}\]
D.	\[\frac{1+K}{m+nK}\]
Answer» B. \[\frac{K-m}{K-n}\]

Discussion

11.	If\[m=\frac{ab}{a-b}\], then b equals.......
A.	\[\frac{m(a-b)}{a}\]
B.	\[\frac{ab-ma}{m}\]
C.	\[\frac{1}{1+1}\]
D.	\[\frac{ma}{m+a}\]
Answer» E.

Discussion

12.	If \[C=\frac{x-a}{a-b},\] find the value of x.
A.	\[\frac{bC-a}{C-1}\]
B.	\[\frac{C-a}{C-b}\]
C.	\[\frac{C+a}{C+b}\]
D.	\[\frac{1-C}{a-bC}\]
Answer» B. \[\frac{C-a}{C-b}\]

Discussion

13.	If \[{{\mathbf{a}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{a}}^{\mathbf{2}}}}=\mathbf{14}\]find the value of \[{{x}^{\mathbf{2}}}+\frac{1}{{{x}^{\mathbf{2}}}}\]
A.	2
B.	4
C.	\[2\sqrt{3}\]
D.	\[\sqrt{3}\]
Answer» D. \[\sqrt{3}\]

Discussion

14.	If \[\mathbf{x}+\frac{1}{x}=\mathbf{4}\], find the value of \[{{\mathbf{x}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{x}}^{\mathbf{2}}}}\]
A.	16
B.	18
C.	14
D.	12
Answer» D. 12

Discussion

15.	If \[\mathbf{x}+\frac{1}{\mathbf{x}}=\mathbf{4}\] then, what is the value of \[{{\mathbf{x}}^{4}}+\frac{1}{{{\mathbf{x}}^{4}}}\]
A.	191
B.	192
C.	193
D.	194
Answer» E.

Discussion

16.	If \[{{\mathbf{a}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{a}}^{\mathbf{2}}}}=27\] find the value of \[\left( {{a}^{3}}-\frac{1}{{{a}^{3}}} \right)\]
A.	120
B.	140
C.	100
D.	110
Answer» C. 100

Discussion

17.	If\[\frac{17-3x}{5}-\frac{4x+2}{3}=5-6x+\frac{7x+14}{3},\]find the value of x.
A.	\[2\]
B.	\[4\]
C.	\[-4\]
D.	\[-2\]
Answer» C. \[-4\]

Discussion

18.	What is the value of \[\frac{7.83\times 7.83-1.17\times 1.17}{6.66}\]?
A.	\[9\]
B.	\[6.66\]
C.	\[1.176\]
D.	\[-9\]
Answer» B. \[6.66\]

Discussion

19.	Multiply: \[\left( 4x+\frac{3y}{5} \right)\] and \[\left( 3x-\frac{4y}{5} \right)\]
A.	\[12{{x}^{2}}+\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]
B.	\[12{{x}^{2}}+\frac{7xy}{5}+\frac{12{{y}^{2}}}{5}\]
C.	\[12{{x}^{2}}-\frac{7xy}{5}-\frac{12{{y}^{2}}}{25}\]
D.	None of these
Answer» D. None of these

Discussion

20.	If \[\frac{1}{m}+\frac{1}{n}=-3\] and\[mn=-\frac{1}{54}\], then find the value of\[\frac{1}{{{m}^{3}}}+\frac{1}{{{n}^{3}}}\].
A.	\[\frac{1}{212}\]
B.	-513
C.	\[-\frac{1}{219}\]
D.	517
E.	None of these
Answer» C. \[-\frac{1}{219}\]

Discussion

21.	Solve :\[\frac{6{{m}^{2}}+\text{ }13m\text{ }-4}{2m+5}\], \[\frac{12{{m}^{2}}+\text{ 5}m\text{ +}4}{4m+5}\]
A.	m = 2
B.	m = -2
C.	m = l
D.	m = -3
E.	None of these
Answer» C. m = l

Discussion

22.	Which of the following products is equal to\[25{{x}^{2}}-30xy+9{{y}^{2}}?\]
A.	\[\text{(}5x+3y\text{)(}5x+3y\text{)}\]
B.	\[\text{(}5x-3y\text{)(}5x-3y\text{)}\]
C.	\[\text{(}3x-5y\text{)(}3x-5y\text{)}\]
D.	\[\text{(}3x+5y\text{)(}3x+5y\text{)}\]
Answer» C. \[\text{(}3x-5y\text{)(}3x-5y\text{)}\]

Discussion

23.	Find the value of \[0.67\times 0.67-0.33\times 0.33.\]
A.	0.34
B.	0.034
C.	3.4
D.	34
Answer» B. 0.034

Discussion

24.	Find the value of \[10.01\times 9.99.\]
A.	90.0099
B.	90.0099
C.	90.99
D.	99.9999
Answer» E.

Discussion

25.	Find the product of\[(12{{m}^{2}}n-3m{{n}^{2}}-1)\] and \[6{{m}^{2}}{{n}^{2}}.\]
A.	\[72{{m}^{4}}{{n}^{3}}-18{{m}^{3}}{{n}^{4}}-6{{m}^{2}}{{n}^{2}}\]
B.	\[24{{m}^{4}}{{n}^{3}}-15{{m}^{3}}{{n}^{4}}-5{{m}^{2}}{{n}^{2}}\]
C.	\[60{{m}^{4}}{{n}^{3}}-16{{m}^{3}}{{n}^{4}}-4{{m}^{2}}{{n}^{2}}\]
D.	\[48{{m}^{4}}{{n}^{3}}-12{{m}^{3}}{{n}^{4}}-8{{m}^{2}}{{n}^{2}}\]
Answer» B. \[24{{m}^{4}}{{n}^{3}}-15{{m}^{3}}{{n}^{4}}-5{{m}^{2}}{{n}^{2}}\]

Discussion

26.	Which system of equations represents the following statements? The sum of two numbers is ten. One number is five times the other.
A.	\[\begin{matrix} xy=10\\ y=5x\\ \end{matrix}\]
B.	\[\begin{matrix} xy=10\\ y=x+5\\ \end{matrix}\]
C.	\[\begin{matrix} x+y=10\\ y=5x\\ \end{matrix}\]
D.	\[\begin{matrix} x+y=10\\ y=x+5\\ \end{matrix}\]
Answer» D. \[\begin{matrix} x+y=10\\ y=x+5\\ \end{matrix}\]

Discussion

27.	Find the value of \[({{x}^{4}}+{{y}^{2}})\div (a+b)\] when \[x=y=a=b=3\].
A.	15
B.	12
C.	6
D.	3
Answer» B. 12

Discussion

28.	Which expression is the result of applying the distributive property to \[8\times (100+5)?\]?
A.	\[8\times 105\]
B.	\[8\times 140\]
C.	\[800+5\]
D.	\[800+40\]
Answer» E.

Discussion

29.	Find the value of \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-xy-zy-zx\] when \[x=-3,\text{ }y=4\]and \[z=-2\].
A.	75
B.	68
C.	43
D.	54
Answer» D. 54

Discussion

30.	The product of \[\left( \mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\] and \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+3}{{\mathbf{y}}^{\mathbf{2}}} \right)\] is_____.
A.	\[{{x}^{3}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
B.	\[3{{x}^{2}}+5{{x}^{5}}{{y}^{2}}+3{{y}^{4}}\]
C.	\[6{{x}^{5}}+10{{x}^{2}}{{y}^{3}}+3{{y}^{4}}\]
D.	\[6{{x}^{4}}+11{{x}^{2}}{{y}^{2}}+3{{y}^{4}}\]
E.	None of these
Answer» E. None of these

Discussion

31.	The value of \[\left( \mathbf{x-y} \right)\left( \mathbf{x+y} \right)\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)\mathbf{\{}{{\left( {{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\mathbf{-2}{{\mathbf{x}}^{\mathbf{2}}}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{\}}\] is:
A.	\[{{x}^{8}}-{{y}^{8}}\]
B.	\[{{x}^{8}}+{{y}^{8}}\]
C.	\[{{x}^{6}}-{{y}^{6}}\]
D.	\[{{x}^{6}}+{{y}^{6}}\]
E.	None of these
Answer» B. \[{{x}^{8}}+{{y}^{8}}\]

Discussion

32.	Which one of the following expressions is equal to \[\mathbf{64}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+9}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-48xy}\]?
A.	\[{{\left( 8x+3y \right)}^{2}}\]
B.	\[{{\left( 5x-y \right)}^{2}}\]
C.	\[{{\left( 8x-3y \right)}^{2}}\]
D.	\[{{\left( 5x-2y \right)}^{2}}\]
E.	None of these
Answer» D. \[{{\left( 5x-2y \right)}^{2}}\]

Discussion

33.	Divide \[\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{-5}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+8x-5} \right)\,\,\mathbf{by}\,\,\left( \mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-3x+5} \right)\] and find the quotient.
A.	\[x+5\]
B.	\[x+4\]
C.	\[x-1\]
D.	\[x+2\]
E.	None of these
Answer» D. \[x+2\]

Discussion

34.	What must be subtracted from \[\mathbf{4p}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{-2pq-v+5}\,\,\mathbf{to}\,\,\mathbf{get}\,\,\mathbf{-}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{+pq-8}{{\mathbf{q}}^{\mathbf{2}}}\mathbf{-2v+6}\]?
A.	\[4p{{x}^{2}}+3{{q}^{2}}-3pq+v-1\]
B.	\[5{{q}^{2}}-3pq+8pq+2{{q}^{2}}+v-1\]
C.	\[-5\,{{p}^{2}}+3pq-2{{q}^{2}}-v+1\]
D.	\[-3{{p}^{2}}+p\,q+14{{q}^{2}}+3v-11\]
E.	None of these
Answer» B. \[5{{q}^{2}}-3pq+8pq+2{{q}^{2}}+v-1\]

Discussion

35.	Which algebraic expression correctly represents the statement: the square of the product of numbers x and y subtracted from the square of their sum?
A.	\[{{x}^{2}}+{{y}^{2}}-{{x}^{2}}{{y}^{2}}\]
B.	\[{{x}^{2}}{{y}^{2}}-\left( {{x}^{2}}+{{y}^{2}} \right)\]
C.	\[{{\left( x+y \right)}^{2}}-{{x}^{2}}{{y}^{2}}\]
D.	\[{{x}^{2}}{{y}^{2}}-{{\left( x+y \right)}^{2}}\]
Answer» D. \[{{x}^{2}}{{y}^{2}}-{{\left( x+y \right)}^{2}}\]

Discussion

36.	Which algebraic expression correctly represents the statement twice the numbersubtracted from one -half the product of x and y?
A.	\[\frac{xy}{2}=2\]
B.	\[\frac{xy}{2}-2\]
Answer» C.

Discussion

37.	An expression is taken away from \[3{{x}^{2}}-4{{y}^{2}}+5xy+20\] to obtain \[-{{x}^{2}}-{{y}^{2}}+6xy+20,\]then the expression is ____.
A.	\[4{{x}^{2}}-3{{y}^{2}}-xy\]
B.	\[2{{x}^{2}}-5{{y}^{2}}+xy+40\]
C.	\[3{{y}^{2}}-xy-4{{x}^{2}}\]
D.	\[4{{x}^{2}}+3{{y}^{2}}+xy\]
Answer» B. \[2{{x}^{2}}-5{{y}^{2}}+xy+40\]

Discussion

38.	A and B are polynomials and each is the additive inverse of the other. What does it mean?
A.	\[A=B\]
B.	\[A+B\] is a zero polynomial.
C.	\[A-B\] is a zero polynomial.
D.	\[A-B=B-A\]
Answer» C. \[A-B\] is a zero polynomial.

Discussion

39.	Direction: Choose the correct expressions for each of the cases given below: One more than twice the number is added to 5 more than the same number
A.	3k + 6
B.	2k + 5
C.	3k + 7
D.	2k + 6
E.	None of these
Answer» B. 2k + 5

Discussion

40.	Direction: Choose the correct expressions for each of the cases given below: 15 is added to the predecessor of an integer.
A.	14 + n, where n is the integer
B.	15 - n, where n is the integer
C.	16 + n, where n is the integer
D.	14 - n, where n is the integer
E.	None of these
Answer» B. 15 - n, where n is the integer

Discussion

41.	Choose the correct algebraic expression for the condition given below, "Multiply a number (say k) by 7 and the result is subtracted from 5?.
A.	7k - 5
B.	5 - 7k
C.	5k - 7
D.	7 - 5k
E.	None of these
Answer» C. 5k - 7

Discussion

42.	A bird flies 6 km in 2 minutes. The expression which represents the distance covered by the bird in its flying time is ____ (Use 't' for flying time in minutes).
A.	6t
B.	3t
C.	4t
D.	6t+2
E.	None of these
Answer» C. 4t

Discussion

43.	Which of the following is an equation?
A.	3x - 12y > 10
B.	-5y -3 (3x - 5) < 0
C.	z - k + l + 1 = 1
D.	x - 2y + 3z
E.	None of these
Answer» D. x - 2y + 3z

Discussion

44.	The statement for the expression "12x - 9" is:
A.	9 is added to 12x
B.	12x is subtracted from 9
C.	9 is subtracted from 12x
D.	9 is subtracted from - 12x
E.	None of these
Answer» D. 9 is subtracted from - 12x

Discussion

45.	Evaluate the expression. \[p-(p-q)-q(q-p)\]
A.	\[p-q\]
B.	\[-p+q\]
C.	\[p+q\]
D.	\[-(p+q)\]
Answer» B. \[-p+q\]

Discussion

46.	If x = 2, y = 5 and z = - 7, then the value of \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-2xyz\]is ____.
A.	-62
B.	218
C.	-63
D.	212
E.	None of these
Answer» C. -63

Discussion

47.	By how much does 1 exceed 3m - 4n + 5?
A.	3n - 4m - 4
B.	3m - 4m + 4
C.	3n - 4m - 3
D.	3n - 5m - 5
E.	None of these
Answer» B. 3m - 4m + 4

Discussion

48.	If \[A\text{ }=\text{ }7{{m}^{2}}+3mn-8{{n}^{2}},\text{ }B\text{ }=-4{{m}^{2}}+mn\]\[+4{{n}^{2}}\]and C = 3n2 - 4m2 - 4mn. Then find the value of A + B + C.
A.	\[-{{m}^{2}}+mn-{{n}^{2}}\]
B.	\[-{{m}^{2}}-mn-{{n}^{2}}\]
C.	\[-{{m}^{2}}+{{n}^{2}}\]
D.	\[-\left( {{m}^{2}}+{{n}^{2}} \right)\]
E.	None of these
Answer» E. None of these

Discussion

49.	What is the difference between \[3a+2b\]and\[-2a\,-5b\]?
A.	\[5a+7b\]
B.	\[-5a-7b\]
C.	\[5a-7b\]
D.	\[a-3b\]
Answer» B. \[-5a-7b\]

Discussion

50.	Find the value of \[4xy(x-y)-6{{x}^{2}}(y-{{y}^{2}})-\]\[3{{y}^{2}}(2{{x}^{2}}-x)+2xy(x-y)\] for \[x=5\]and\[y=13\].
A.	\[-195\]
B.	2535
C.	\[-2535\]
D.	7605
Answer» D. 7605

Discussion

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