An algebraic expression containing three terms is called a
A)
monomial
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B)
binomial
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C)
trinomial
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D)
All of these
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Number of terms in the expression \[3{{x}^{2}}y-2{{y}^{2}}z-{{z}^{2}}x+5\] is
A)
2
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B)
3
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C)
4
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D)
5
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Factors of \[-5{{x}^{2}}{{y}^{2}}z\] are
A)
\[-\,5\times x \times y \times z\]
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B)
\[-\,5\,\times {{x}^{2}}\times y\times z\]
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C)
\[-\,5\times x\,\times x\times y\times y\times z\]
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D)
\[-\,5\times x\times y\times {{z}^{2}}\]
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Which of the following is a pair of like terms?
A)
\[-\,7x{{y}^{2}}z, -7{{x}^{2}}yz\]
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B)
\[-\,10\,xy{{z}^{2}}, 3xy{{z}^{2}}\]
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C)
\[3xyz,\,3{{x}^{2}}{{y}^{2}}{{z}^{2}}\]
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D)
\[4xy{{z}^{2}}, 4{{x}^{2}}yz\]
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The sum of \[{{\operatorname{x}}^{4}}-xy+2{{y}^{2}}\,\,and\,\,-{{x}^{4}}+xy+2{{y}^{2}}\] is
A)
monomial and polynomial in y
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B)
binomial and polynomial
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C)
trinomial and polynomial
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D)
monomial and polynomial in x
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The subtraction of 5 times of y from x is
A)
\[5x-y\]
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B)
\[\operatorname{y}\,-5x\]
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C)
\[\operatorname{x}\,-5y\]
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D)
\[5y-x\]
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The value of \[3{{x}^{2}}- 5x +3\], when x = 1 is
A)
1
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B)
0
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C)
-1
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D)
11
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The length of a side of square is given as 2x+3. Which expression represents the perimeter of the square?
A)
2x+16
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B)
6x+9
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C)
8x+3
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D)
8x+12
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If \[\left( {{x}^{2}}y+{{y}^{2}}+3 \right)\] is subtracted from \[\left( 3{{x}^{2}}y+2{{y}^{2}}+5 \right)\], then coefficient of y in the result is _______.
A)
\[\therefore \,\,Coefficient of \,y =2{{x}^{2}}\]
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B)
\[\therefore \,\,Coefficient of \,x=2{{y}^{2}}\]
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C)
\[\therefore \,\,Coefficient of \,y=2x\]
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D)
\[Coefficient of \,x=2{{y}^{2}}\]
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Write the following statements in the form of algebraic expressions and write whether is monomial, binomial or trinomial. x is multiplied by itself and then added to the product of x and y.
A)
\[{{x}^{2}}+xy\] [binomial]
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B)
\[{{x}^{2}}+x\] [binomial]
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C)
\[{{x}^{2}}+yx\] [binomial]
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D)
\[{{y}^{2}}+yx\] [binomial]
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Write the following statements in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Three times of p and two times of q are multiplied and then subtracted from r.
A)
\[\operatorname{r}\,-\,\,\left( 3p\times 2q \right)=r\,-6pq\] [binomial]
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B)
\[\operatorname{r}\,-\,\,\left( 3p\times 2q \right)=r\,-8pq\] [binomial]
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C)
\[\operatorname{r}\,-\,\,\left( 3p\times 2q \right)=r\,-7pq\] [binomial]
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D)
\[\operatorname{r}\,-\,\,\left( 2p\times 2q \right)=r\,-7pq\] [binomial]
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Write the following statements in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Product of p, twice of q and thrice of r.
A)
\[\operatorname{p}\times 2q\times 3r = 6pq\] [monomial]
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B)
\[\operatorname{p}\times 2q\times 3r = 8pq\] [monomial]
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C)
\[\operatorname{p}\times 3q\times 2r = 8pq\] [monomial]
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D)
\[\operatorname{p}\times 8q\times 2r = 6pq\] [monomial]
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Write the following statements in the form of algebraic expressions and write whether is monomial, binomial or trinomial. Sum of the products of a and b, b and c, c and a.
A)
\[\operatorname{ab}+bc+ca\] [trinomial]
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B)
\[\operatorname{ab}+bc+cb\] [trinomial]
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C)
\[\operatorname{ab}+bc+cd\] [trinomial]
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D)
\[ba+bc+cb\] [trinomial]
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How much \[21{{a}^{3}}-17{{a}^{2}}\,\,less than \,89{{a}^{3}}-64{{a}^{2}}+6a\,\,+16?\]
A)
So, \[21{{a}^{3}}-17{{a}^{2}}\,\,is 68{{a}^{3}}-47{{a}^{2}}+6a+16 \,less than \,89{{a}^{3}}- 64{{a}^{2}}+ 6a+16.\]
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B)
So, \[89{{a}^{3}}- 64{{a}^{2}}+ 6a+16 \,less than \,21{{a}^{3}}-17{{a}^{2}}\,\,is 68{{a}^{3}}-47{{a}^{2}}+6a+16\]
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C)
All are correct
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D)
None of these
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How much is \[{{\operatorname{y}}^{4}}-12{{y}^{2}}+y+14\,\,greater than \,17{{y}^{3}}+34{{y}^{2}}-51y+68?\]
A)
So, \[{{\operatorname{y}}^{4}}-12{{y}^{2}}+ y+14 \,is \,{{y}^{4}}-17{{y}^{3}}-46{{y}^{2}}+ 52y- 54 \,greater than 17{{y}^{3}}+ 34{{y}^{2}}- 51y+ 68.\]
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B)
So, \[17{{y}^{3}}+ 34{{y}^{2}}- 51y+ 68 \,greater than {{\operatorname{y}}^{4}}-12{{y}^{2}}+ y+14 \,is \,{{y}^{4}}-17{{y}^{3}}-46{{y}^{2}}+ 52y- 54\]
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C)
All are correct
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D)
None of these
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If \[\operatorname{A}=3{{x}^{2}}-4x+1,\,\,B=5{{x}^{2}}+3x\,-8\,\,and\,\,C=4{{x}^{2}}-7x+3\], then find (i) \[\left( A+B \right)-C\]
A)
\[=4{{x}^{2}}+6x\,-10\]
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B)
\[=4{{x}^{2}}+6x\,-20\]
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C)
\[=4{{x}^{2}}+8x\,-20\]
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D)
\[=5{{x}^{2}}+8x\,-20\]
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From the sum of \[{{x}^{2}}-{{y}^{2}}-1, \,{{y}^{2}}-{{x}^{2}} and 1-{{x}^{2}}-{{y}^{2}}, \,subtract\,\,-\left( 1+{{y}^{2}} \right).\]
A)
\[=-{{x}^{2}}\]
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B)
\[={{x}^{2}}\]
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C)
All of these
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D)
None of these
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Subtract the sum of \[12ab\,-10{{b}^{2}}-18{{a}^{2}}\,and 9ab+12{{b}^{2}}+14{{a}^{2}}\] from the sum of \[\operatorname{ab}+2{{b}^{2}}\,and\,\,3{{b}^{2}}-{{a}^{2}}.\]
A)
\[= -20ab + 3{{b}^{2}}+ 3{{a}^{2}}= 3{{a}^{2}}+ 3{{b}^{2}}-20ab\]
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B)
\[= -20ab + 3{{b}^{2}}+ 3{{a}^{2}}= 3{{a}^{2}}+ 3{{b}^{2}}-30ab\]
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C)
All of these
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D)
None of these
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