7th Class Mathematics Algebraic Expressions Question Bank

done Algebraic Expressions Total Questions - 45

• question_answer1)
  If \[x+y=5,\,\,y+z=7\]and \[z+x=12,\] what is the value of \[x+y+z\]?
  A)
   12                                            done clear
  B)
   2   done clear
  C)
   5                             done clear
  D)
          24 done clear
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• question_answer2)
  How many auxiliary formulae can be formed from the expression in the box?

  \[A=\frac{1}{2}h\,(a+b)\]

  A)
   2                             done clear
  B)
          3      done clear
  C)
   4                             done clear
  D)
          1 done clear
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• question_answer3)
  What is the difference between \[3a+2b\]and\[-2a\,-5b\]?
  A)
   \[5a+7b\]             done clear
  B)
          \[-5a-7b\] done clear
  C)
   \[5a-7b\]            done clear
  D)
          \[a-3b\] done clear
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• question_answer4)
  The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?
  A)
   \[(l+w)\,(b+w)-lb\] done clear
  B)
    \[l\,b-(l-w)\,(b-w)\] done clear
  C)
   \[(l+b-w)w\]   done clear
  D)
   \[l\,b-(l-2w)\,(b-2w)\] done clear
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• question_answer5)
  In a two digit number, the units digit is x and tens digit is \[(x+3)\]. What is the sum of the digits in the number?
  A)
   \[11x+3\]            done clear
  B)
          \[2x+3\]   done clear
  C)
   \[3+x\]                done clear
  D)
          \[11x+30\] done clear
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• question_answer6)
  A and B are polynomials and each is the additive inverse of the other. What does it mean?         
  A)
    \[A=B\] done clear
  B)
   \[A+B\] is a zero polynomial.   done clear
  C)
   \[A-B\] is a zero polynomial. done clear
  D)
   \[A-B=B-A\] done clear
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• question_answer7)
  When a certain number, 'm' is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4. What is the value of 'm?
  A)
   2                             done clear
  B)
          \[\frac{4}{3}\]     done clear
  C)
   \[-1\]                    done clear
  D)
          \[-5\]   done clear
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• question_answer8)
  5 added to thrice a number is equal to 12 added to twice the number. What is the number?
  A)
   \[\sqrt{49}\times \frac{1}{7}\]      done clear
  B)
   \[\sqrt[3]{343}\times \frac{7}{7}\] done clear
  C)
   7           done clear
  D)
   Both [b] and [c]   done clear
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• question_answer9)
  In the figure given what is the perimeter, in cm, of the triangle?
  A)
                   \[(8y+4x-3)\,cm\]   done clear
  B)
                   \[(8y-4x+3)\,cm\] done clear
  C)
                   \[(14x-2y-3)\,cm\] done clear
  D)
                   \[(12xy-3)\,cm\] done clear
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• question_answer10)
  If \[C=\frac{x-a}{a-b},\] find the value of x.
  A)
   \[\frac{bC-a}{C-1}\]                         done clear
  B)
   \[\frac{C-a}{C-b}\] done clear
  C)
   \[\frac{C+a}{C+b}\]        done clear
  D)
          \[\frac{1-C}{a-bC}\] done clear
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• question_answer11)
  Match the following.

  	Column-I		Column-II
  (i)	\[4{{m}^{2}}p,4m{{p}^{2}}\]	(a)	Binomial
  (ii)	\[5-3t\]	(b)	Unlike terms
  (iii)	\[-7x,\frac{5}{2}x\]	(c)	Trinomial
  (iv)	\[1+x+{{x}^{2}}\]	(d)	Like terms

  A)
  \[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done clear
  B)
  \[\left( i \right),\left( b \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( d \right),\left( iv \right)-\left( c \right)\] done clear
  C)
  \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done clear
  D)
  \[\left( i \right)-\left( b \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( d \right)\] done clear
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• question_answer12)
  Which of the following is true?
  A)
   The product of numbers p and q subtracted from 7 is \[7+pq\]. done clear
  B)
   \[y-{{y}^{3}}\]is a monomial. done clear
  C)
   The coefficient of \[{{y}^{2}}\] in \[2{{x}^{2}}y+7{{y}^{2}}\]is 7.   done clear
  D)
   \[100{{z}^{3}}\] is a binomial. done clear
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• question_answer13)
  If \[x=3,\,a=(-1)\] and \[b=(-2),\] what is the value of\[2-6x+4a-3b\]?
  A)
   \[-22\]                 done clear
  B)
          \[-14\]   done clear
  C)
   \[12\]                                   done clear
  D)
          \[14\] done clear
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• question_answer14)
  For what value of 'm' is \[9-5m=(-1)\]?
  A)
   \[-1\]                    done clear
  B)
          \[-2\]   done clear
  C)
   \[2\]                       done clear
  D)
          \[1\] done clear
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• question_answer15)
  Simplify \[{{x}^{2}}{{y}^{3}}-1.5{{x}^{2}}{{y}^{3}}+1.4{{x}^{2}}{{y}^{3}}\].
  A)
   \[0.9\,{{x}^{2}}{{y}^{3}}\]          done clear
  B)
          \[-0.9\,{{x}^{2}}{{y}^{3}}\] done clear
  C)
   \[0.9\]                  done clear
  D)
          \[-0.9\] done clear
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• question_answer16)
  What is the value of\[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\]?
  A)
                   \[2{{a}^{3}}+7{{a}^{2}}+6a-10\] done clear
  B)
                   \[2{{a}^{3}}+7{{a}^{2}}+12a-10\] done clear
  C)
                   \[2{{a}^{3}}-4{{a}^{2}}+12a-10\]   done clear
  D)
                   \[2{{a}^{3}}-4{{a}^{2}}+6a-10\] done clear
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• question_answer17)
  By how much is  \[{{x}^{4}}-4{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]?
  A)
   \[-12{{x}^{2}}{{y}^{2}}\] done clear
  B)
                          \[12{{x}^{2}}{{y}^{2}}\]   done clear
  C)
   \[-12xy\]             done clear
  D)
          \[12xy\] done clear
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• question_answer18)
  What is the sum of \[\frac{{{a}^{2}}}{2}+\frac{{{b}^{3}}}{3}-\frac{{{c}^{3}}}{4};\] \[\frac{2{{a}^{2}}}{3}+\frac{3{{b}^{3}}}{4}-\frac{4{{c}^{3}}}{5}\]and \[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]?
  A)
   \[\frac{13}{6}a+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\] done clear
  B)
   \[\frac{13}{6}{{a}^{2}}-\frac{1}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\] done clear
  C)
   \[\frac{13}{6}{{a}^{2}}+\frac{25}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\]   done clear
  D)
   \[\frac{13}{6}{{b}^{3}}+\frac{25}{12}{{a}^{3}}+\frac{1}{20}{{c}^{3}}\] done clear
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• question_answer19)
  Match the following.

  	Column - I		Column - II
  (i)	\[{{a}^{2}}-{{b}^{3}}\] when \[a=3\]  and \[b=2\]	(a)	\[0\]
  (ii)	\[{{z}^{3}}-3(z-10)\] when \[z=10\]	(b)	\[-12\]
  (iii)	\[{{x}^{2}}+2x+1\] when \[x=-1\]	(c)	\[1000\]
  (iv)	\[5p-2\] when \[p=-2\]	(d)	\[1\]

  A)
  \[\left( i \right)-\left( d \right),\left( ii \right)-\left( a \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( c \right)\] done clear
  B)
  \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( b \right),\left( iv \right)-\left( a \right)\] done clear
  C)
  \[\left( i \right)-\left( a \right),\left( ii \right)-\left( b \right),\left( iii \right)-\left( c \right),\left( iv \right)-\left( d \right)\] done clear
  D)
  \[\left( i \right)-\left( d \right),\left( ii \right)-\left( c \right),\left( iii \right)-\left( a \right),\left( iv \right)-\left( b \right)\] done clear
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• question_answer20)
  Simplify the following expression.\[x(y-z)-y(z-x)-z(x-y)\]
  A)
   \[2x(y-z)\]            done clear
  B)
          \[2y(z-x)\] done clear
  C)
   \[2x(z-y)\]          done clear
  D)
          \[2z(x-y)\] done clear
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• question_answer21)
  What is the 4th term of a pattern described by the expression \[{{n}^{2}}+1\]?
  A)
   \[18\]                                   done clear
  B)
          \[17\]   done clear
  C)
   \[24\]                   done clear
  D)
          \[16\] done clear
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• question_answer22)
  The third term of the series \[7n+20\] is 41. What is the 10th term?
  A)
   \[90\]                     done clear
  B)
          \[56\]   done clear
  C)
   \[63\]                   done clear
  D)
          \[87\] done clear
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• question_answer23)
  What is the expression related to the pattern 5, 8,11,.......?
  A)
   \[2n-1\]               done clear
  B)
          \[3n+2\]   done clear
  C)
   \[4n+1\]              done clear
  D)
          \[{{n}^{2}}-1\] done clear
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• question_answer24)
  Which expression gives the predecessor of a natural number 'n'?
  A)
   \[2n-1\]               done clear
  B)
          \[n+1\] done clear
  C)
   \[n-1\]                   done clear
  D)
          \[2n+1\] done clear
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• question_answer25)
  If 'n? denotes a natural number, what does '2n' denote?
  A)
   A prime number done clear
  B)
   An even number   done clear
  C)
   An odd number done clear
  D)
   A composite number done clear
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• question_answer26)
  For any natural number n, what does \[2n\text{+}1\]denote?
  A)
   An even number done clear
  B)
   An odd number   done clear
  C)
   A composite number done clear
  D)
   A prime number done clear
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• question_answer27)
  Identify the like terms in \[21p-32-7p+20p\].
  A)
   \[21p,-32\] and \[20p\] done clear
  B)
   \[-32,-7p\] and \[20p\] done clear
  C)
   \[21p,-7p\] and \[20p\]   done clear
  D)
   \[-7p,21p,\]and \[32\] done clear
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• question_answer28)
  What is the symbolic form of "one-fourth of the product of m and n"?
  A)
   \[\frac{1}{4}mn\]              done clear
  B)
          \[\frac{1}{4}(m+n)\] done clear
  C)
   \[\frac{1}{4}(m-n)\]       done clear
  D)
          \[\frac{1}{4}\,\frac{m}{n}\] done clear
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• question_answer29)
  What do we call the algebraic terms with same literal coefficients?
  A)
   Equivalent   done clear
  B)
   Unlike terms done clear
  C)
   Constants    done clear
  D)
   Like terms   done clear
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• question_answer30)
  What is the coefficient of 'y' in the expression\[3xy-13\]?
  A)
   \[3x\]            done clear
  B)
   3 done clear
  C)
   \[-13\]          done clear
  D)
   Either [a] or [b] done clear
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• question_answer31)
  Simplify \[\frac{3}{4}x-\frac{2}{5}ax-y+\frac{1}{3}ax-\frac{1}{8}x\] and find its value when \[a=3,\,x=(-2)\] and \[y=(-6)\].
  A)
   \[5\frac{3}{20}\]                done clear
  B)
          \[3\frac{3}{20}\] done clear
  C)
   \[\frac{13}{20}\]                              done clear
  D)
          \[5\frac{1}{20}\] done clear
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• question_answer32)
  A rectangle is 3p cm long and \[2p\text{ }cm\] wide. Find the perimeter of the rectangle when \[p=12\].
  A)
   \[102\,cm\]      done clear
  B)
          \[120\,cm\]   done clear
  C)
   \[210\,cm\]      done clear
  D)
          \[10p\,cm\] done clear
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• question_answer33)
  From the sum of \[7x-2y-3z\] and \[3x+5y-8z,\]take away \[x-3z\].
  A)
   \[9x-3y+8z\] done clear
  B)
   \[9x+3y-8z\]   done clear
  C)
   \[9x+3y+8z\] done clear
  D)
   \[9x-3y-8z\] done clear
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• question_answer34)
  The angles of a quadrilateral are \[{{(p+25)}^{o}},\] \[2{{p}^{o}},\] \[{{(2p-15)}^{o}}\] and \[{{(p+20)}^{o}}\] What is the value of the smallest angle?
  A)
   \[{{105}^{o}}\] done clear
  B)
          \[{{65}^{o}}\]     done clear
  C)
   \[{{115}^{o}}\] done clear
  D)
          \[{{65}^{o}}\] done clear
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• question_answer35)
  The sides of a right angled triangle are\[2a\,\,cm,\,(2a+2)\,cm\] and \[(4a-2)\,cm\] long.                What is the length of the shortest side of the triangle if its perimeter is\[24\text{ }cm\]?
  A)
   \[\text{8 }cm\]                 done clear
  B)
          \[\text{6 }cm\]   done clear
  C)
   \[\text{10 }cm\]              done clear
  D)
          \[\text{3 }cm\] done clear
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• question_answer36)
  What is the sum of \[3{{y}^{2}}+5yz,\]\[-2{{y}^{2}}-2yz-{{z}^{2}}\] and \[-yz+2{{z}^{2}}\]?
  A)
   \[{{y}^{2}}-2yz+{{z}^{2}}\]    done clear
  B)
   \[{{y}^{2}}+2yz+{{z}^{2}}\]   done clear
  C)
   \[{{y}^{2}}-2yz-{{z}^{2}}\]    done clear
  D)
   \[-{{y}^{2}}+2yz-{{z}^{2}}\] done clear
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• question_answer37)
  Evaluate the expression. \[p-(p-q)-q(q-p)\]
  A)
   \[p-q\]   done clear
  B)
          \[-p+q\] done clear
  C)
   \[p+q\]                done clear
  D)
          \[-(p+q)\] done clear
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• question_answer38)
  What is the value of the expression\[2{{x}^{2}}y+x{{y}^{2}}+xy\] for  \[x=1\] and \[y=2\]?
  A)
   \[-2\]     done clear
  B)
          \[-3\]   done clear
  C)
   \[-4\]   done clear
  D)
          \[-5\] done clear
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• question_answer39)
  Lf \[P+\frac{5}{4}(4-2P)=-4,\]find P.
  A)
   \[-6\]   done clear
  B)
          \[6\]      done clear
  C)
   \[18\]                                   done clear
  D)
          \[-18\] done clear
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• question_answer40)
  How is "4 is less than half of x" written in symbolic form?
  A)
   \[4>\frac{x}{2}\]              done clear
  B)
          \[\frac{x-4}{2}\] done clear
  C)
   \[\frac{x}{2}+4\]              done clear
  D)
          \[4<\frac{x}{2}\]   done clear
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• question_answer41)
  A basket has 23 oranges and bananas. How many bananas are there in the basket if there are 'p' oranges in it?
  A)
   \[23\,p\]             done clear
  B)
          \[23-\,p\]   done clear
  C)
   \[23+\,p\]          done clear
  D)
          \[p-23\] done clear
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• question_answer42)
  ?x' packets of 6 sweets each are divided equally among 10 children. How many sweets does each child get?
  A)
   \[6x\]                   done clear
  B)
          \[6x-10\] done clear
  C)
   \[\frac{3x}{5}\]                  done clear
  D)
          \[3x-5\] done clear
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• question_answer43)
  The length of a rectangle is \[2(x+6)\,cm,\]and its width is half its length. What is its perimeter?
  A)
   \[6(x-3)\,cm\]                  done clear
  B)
   \[6(x-6)\,cm\] done clear
  C)
   \[3(x+6)\,cm\]                 done clear
  D)
    \[(6x+36)\,cm\]   done clear
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• question_answer44)
  Simplify \[\frac{4}{11}\,(66x+44)+\frac{3}{11}(33x-33)\].
  A)
   \[33x+7\]              done clear
  B)
          \[33x-7\] done clear
  C)
   \[33x-7x\]                          done clear
  D)
   \[33+7x\] done clear
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• question_answer45)
  Express in the simplest form.

  \[\frac{9}{10}(30+5t)+\frac{5}{6}(18t-12)\]

  A)
   \[-17+\frac{39}{2}t\]      done clear
  B)
          \[17t-\frac{39}{2}\] done clear
  C)
   \[\left( 17+\frac{39}{2}t \right)\]                done clear
  D)
          \[17t+\frac{39}{2}\] done clear
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