7th Class Mathematics Algebraic Expressions Question Bank

done Algebraic Expressions Total Questions - 40

• question_answer1)
  Which one among the following statements is correct?
  A)
  The word variable means something that is fixed. done clear
  B)
  The value of the constant which satisfies the equation is called a solution of the equation. done clear
  C)
  An expression with a variable, constants and the sign of equality is called an algebraic expression. done clear
  D)
  The definite value of the variable which satisfies the equation is called the solution of the equation. done clear
  E)
  None of these done clear
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• question_answer2)
  If the perimeter of a regular octagon is 2x metres, then the length of each of its sides is ________
  A)
  x - 8  done clear
  B)
  2x+8 done clear
  C)
  x - 4 done clear
  D)
  16x done clear
  E)
  None of these done clear
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• question_answer3)
  In algebra, letter may stand for____
  A)
  unknown quantities done clear
  B)
  known quantities done clear
  C)
  fixed numbers done clear
  D)
  all the above done clear
  E)
  None of these done clear
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• question_answer4)
  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 done clear
  B)
  5 - 7k done clear
  C)
  5k - 7  done clear
  D)
  7 - 5k done clear
  E)
  None of these done clear
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• question_answer5)

  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 done clear
  B)
  15 - n, where n is the integer done clear
  C)
  16 + n, where n is the integer done clear
  D)
  14 - n, where n is the integer done clear
  E)
  None of these done clear
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• question_answer6)

  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  done clear
  B)
  2k + 5  done clear
  C)
  3k + 7 done clear
  D)
  2k + 6 done clear
  E)
  None of these done clear
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• question_answer7)

  Direction: Choose the correct expressions for each of the cases given below:

  11 more than y times of 7 is subtracted from the largest two digit numbers.

  A)
  99 - 7y done clear
  B)
  88 + 7y done clear
  C)
  88 - 7y done clear
  D)
  110 - 7y done clear
  E)
  None of these done clear
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• question_answer8)

  Direction: Choose the correct expressions for each of the cases given below:

  Perimeter of the rectangle whose length I is 7 times of its breadth (b)

  A)
  16 b  done clear
  B)
  14 b done clear
  C)
  181  done clear
  D)
  141 done clear
  E)
  None of these done clear
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• question_answer9)

  Direction: Choose the correct expressions for each of the cases given below:

  Her father's age exceeds her age by 24 years.

  A)
  a + 24  done clear
  B)
  a - 24 done clear
  C)
  24a done clear
  D)
  24 - a done clear
  E)
  None of these done clear
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• question_answer10)

  Direction: Choose the correct expressions for each of the cases given below:

  If a note book costs Rs m and a pen costs Rs 15, then the total cost (in Rs) of 5 notebooks and 17 pens.

  A)
  5m+85  done clear
  B)
  m + 260 done clear
  C)
  m + 235 done clear
  D)
  5m + 255 done clear
  E)
  None of these done clear
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• question_answer11)

  Direction: Choose the correct expressions for each of the cases given below:

  The sum of two odd consecutive integers is divided by 2.

  A)
  n+1  done clear
  B)
  n+2 done clear
  C)
  2n + 2 done clear
  D)
  n+2 done clear
  E)
  none of these done clear
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• question_answer12)

  Direction: Choose the correct expressions for each of the cases given below:

  p is multiplied by - 21 and the result is subtracted from the least prime number.

  A)
  2 - 21 p  done clear
  B)
  1 - 21p done clear
  C)
  2 + 21p done clear
  D)
  1 + 21p done clear
  E)
  None of these done clear
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• question_answer13)
  One eighth of a number is 84 less than the number. Find the number.
  A)
  92 done clear
  B)
  96 done clear
  C)
  104 done clear
  D)
  64 done clear
  E)
  None of these done clear
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• question_answer14)
  Which one among the following statements is incorrect?
  A)
  0 is a solution of the equation 2x - 3 = - 3 done clear
  B)
  If y is a negative integer then - y is a positive integer. done clear
  C)
  3x - 6 < 9 is an equation, done clear
  D)
  The number of lines that can be drawn through a point is a done clear
  E)
  None of these done clear
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• question_answer15)
  The verbal expression for the algebraic expression 3y - 17 is _____
  A)
  17 more than three times a number y. done clear
  B)
  3 more than 17 times a number y. done clear
  C)
  17 is subtracted from a number y. done clear
  D)
  17 is subtracted from three times a number y. done clear
  E)
  None of these done clear
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• question_answer16)
  Which among the following is an example of trinomial?
  A)
  - 2xyz   done clear
  B)
  \[{{a}^{2}}x\text{ }+\text{ }{{b}^{2}}{{y}^{3}}\] done clear
  C)
  2 + a - b done clear
  D)
  2 + 3ax + ax done clear
  E)
  None of these done clear
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• question_answer17)

  Identify the correct statement for the following algebraic expression:

  \[6y{{x}^{2}}z+2xzy-3{{x}^{2}}yz,\,\,8y{{x}^{2}}z-5zxy+7y{{x}^{2}}z+\]\[2yx{{z}^{2}}+5{{x}^{2}}{{y}^{2}}z\]

  A)
  2xzy and \[5{{x}^{2}}{{y}^{2}}z\]are like terms. done clear
  B)
  \[7y{{x}^{2}}z\] and -\[~3{{x}^{2}}yz\] are unlike terms. done clear
  C)
  2xzy, - 5zxy and \[-3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\] are like terms. done clear
  D)
  2xzy, - 5zxy and \[-3{{x}^{2}}yz,\,\,7y{{x}^{2}}z\] and \[8x{{z}^{2}}\text{y, }2yx{{z}^{2}}\]are unlike terms, done clear
  E)
  None of these done clear
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• question_answer18)
  If x= - 1, y= 2 and z = - 3, then the value of the algebraic expression \[x{{y}^{3}}+y{{x}^{2}}-5xy{{z}^{3}}\]is _____
  A)
  264   done clear
  B)
  -276 done clear
  C)
  -260 done clear
  D)
  276 done clear
  E)
  None of these done clear
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• question_answer19)
  Which one among the following statements is incorrect?
  A)
  An expression having only two terms is called a binomial. done clear
  B)
  A symbol having a fixed numerical value is called a constant. done clear
  C)
  Terms in an algebraic expression are connected by operator ?+? or ?-? done clear
  D)
  x + 3 is an example of a monomial. done clear
  E)
  None of these done clear
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• question_answer20)
  Simplify: \[({{a}^{2}}b-2ab+3{{b}^{2}}a)\]- \[\left( -b{{a}^{2}}+3ab-2a{{b}^{2}} \right)\]
  A)
  \[2{{a}^{2}}b-3ab-a{{b}^{2}}\] done clear
  B)
  \[2{{a}^{2}}b-5ab-5a{{b}^{2}}\] done clear
  C)
  \[2{{a}^{2}}b-5ab+5a{{b}^{2}}\] done clear
  D)
  \[2{{a}^{2}}b-5ab+a{{b}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer21)
  Add \[5{{x}^{2}}y+3x{{y}^{2}}-2{{y}^{2}}x\]to \[7xy+3x{{y}^{2}}-2{{y}^{2}}x\]
  A)
  \[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] done clear
  B)
  \[{{x}^{2}}y-x{{y}^{2}}+10xy\] done clear
  C)
  \[7{{x}^{2}}y-3x{{y}^{2}}+10xy\] done clear
  D)
  \[7{{x}^{2}}y-5x{{y}^{2}}+10xy\] done clear
  E)
  None of these done clear
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• question_answer22)
  Find the value of x if\[\frac{x}{5}+2x=2\left[ \left( \frac{x}{3}+12 \right)-1 \right]\]
  A)
  \[14\frac{8}{5}\] done clear
  B)
  \[14\frac{8}{9}\]  done clear
  C)
  \[14\frac{8}{23}\] done clear
  D)
  \[13\frac{8}{5}\] done clear
  E)
  None of these done clear
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• question_answer23)
  Solve: \[\frac{3p}{4}+\frac{1}{5}=\frac{2p}{3}+\frac{3}{5}\]
  A)
  \[18\frac{8}{5}\]   done clear
  B)
  \[16\frac{7}{5}\] done clear
  C)
  \[15\frac{3}{5}\] done clear
  D)
  \[18\frac{8}{9}\] done clear
  E)
  None of these done clear
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• question_answer24)
  If 17 is subtracted from 5 times a number, the result is 78. Find the number.
  A)
  13 done clear
  B)
  19 done clear
  C)
  18 done clear
  D)
  17 done clear
  E)
  None of these done clear
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• question_answer25)
  The perimeter of a rectangular field is 456 metres. If the length of the field is four times its breadth, then find its breadth.
  A)
  48.9 m done clear
  B)
  46.7 m done clear
  C)
  42.8 m done clear
  D)
  45.6 m done clear
  E)
  None of these done clear
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• question_answer26)
  Radhika's father is thrice as old as Radhika. After 18 years, his age will be twice that of his daughter. Find the present age of her father.
  A)
  54 years done clear
  B)
  57 years done clear
  C)
  60 years done clear
  D)
  63 years done clear
  E)
  None of these done clear
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• question_answer27)
  Find the value of \[12{{x}^{2}}+6x{{y}^{3}}z-8x{{y}^{2}}z+l0xy{{z}^{2}}\]where x = -I, y = 1 and z = -1.
  A)
  -4         done clear
  B)
  4 done clear
  C)
  -24     done clear
  D)
  24 done clear
  E)
  None of these done clear
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• question_answer28)
  Simplify: 2x - [5y - {3x - (3y - 5x)}]
  A)
  12x - 10y done clear
  B)
  10x - 8y done clear
  C)
  6x - 8y    done clear
  D)
  8x - 10y done clear
  E)
  None of these done clear
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• question_answer29)
  Solve: 2m - [3n - {m - (2r - 3n) + 4r - 3(m - n - 2r)}]
  A)
  3n + 8r   done clear
  B)
  3m - 6n + 6r done clear
  C)
  8m - 3n + 6r  done clear
  D)
  6m + 3n - 8r done clear
  E)
  None of these done clear
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• question_answer30)
  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)
  \[-{{m}^{2}}+mn-{{n}^{2}}\] done clear
  B)
  \[-{{m}^{2}}-mn-{{n}^{2}}\] done clear
  C)
  \[-{{m}^{2}}+{{n}^{2}}\] done clear
  D)
  \[-\left( {{m}^{2}}+{{n}^{2}} \right)\] done clear
  E)
  None of these done clear
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• question_answer31)
  By how much does 1 exceed 3m - 4n + 5?
  A)
  3n - 4m - 4   done clear
  B)
  3m - 4m + 4  done clear
  C)
  3n - 4m - 3  done clear
  D)
  3n - 5m - 5 done clear
  E)
  None of these done clear
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• question_answer32)
  If x = 2, y = 5 and z = - 7, then the value of \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-2xyz\]is ____.
  A)
  -62  done clear
  B)
  218 done clear
  C)
  -63 done clear
  D)
  212 done clear
  E)
  None of these done clear
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• question_answer33)
  Solve \[4{{x}^{2}}\text{ }+\text{ }9{{y}^{2}}\text{ }-\text{ }6xy\] for x = - 2 and y = 3.
  A)
  133       done clear
  B)
  61 done clear
  C)
  81  done clear
  D)
  123 done clear
  E)
  None of these done clear
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• question_answer34)
  Subtract \[5{{x}^{2}}yz-2x{{y}^{2}}z+3xyz\]from\[xyz-2zx{{y}^{2}}+4zy{{x}^{2}}\].
  A)
  \[2xyz+4zy{{x}^{2}}\] done clear
  B)
  \[-2xyz\text{ }+\text{ }4zy{{x}^{2}}\] done clear
  C)
  \[-2xyz-zy{{x}^{2}}\] done clear
  D)
  \[-xyz+zy{{x}^{2}}\] done clear
  E)
  None of these done clear
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• question_answer35)
  How much is 3x - 2y + 5z greater than 2x "3y -" 5z?
  A)
  x - y + 10z  done clear
  B)
  x + 2y + 8Z done clear
  C)
  x + 3y - 10z      done clear
  D)
  x + y + 10z done clear
  E)
  None of these done clear
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• question_answer36)
  Which expression represents 5 less than thrice the square of a number?
  A)
  \[3{{n}^{2}}-5\] done clear
  B)
  \[-3{{n}^{2}}+5\] done clear
  C)
  \[-3{{n}^{2}}-5\]         done clear
  D)
         \[3{{n}^{2}}+5\] done clear
  E)
  None of these done clear
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• question_answer37)
  Solve: 3x + 2 - 5 (x - 1) = 3(x - 1)
  A)
  x = 2 done clear
  B)
  x = l done clear
  C)
  x - 1      done clear
  D)
  x - 2 done clear
  E)
  None of these done clear
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• question_answer38)
  The statement for the expression "12x - 9" is:
  A)
  9 is added to 12x done clear
  B)
    12x is subtracted from 9 done clear
  C)
  9 is subtracted from 12x done clear
  D)
  9 is subtracted from - 12x done clear
  E)
  None of these done clear
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• question_answer39)
  Which of the following is an equation?
  A)
  3x - 12y > 10 done clear
  B)
  -5y -3 (3x - 5) < 0 done clear
  C)
  z - k + l + 1 = 1 done clear
  D)
  x - 2y + 3z done clear
  E)
  None of these done clear
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• question_answer40)
  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         done clear
  B)
  3t done clear
  C)
  4t         done clear
  D)
  6t+2 done clear
  E)
  None of these done clear
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