7th Class Mathematics Simple Equations Question Bank

done Linear Equation in one Variable Total Questions - 40

• question_answer1)
  Rajeshwar wrote an equation as \[\frac{m}{5}=4.\] Rajshekhar wrote a statement for Rajeshwar's equation. Which of these statements of Rajshekhar is correct?
  A)
   One-fifth of 'm' is 4. done clear
  B)
   One-fifth of a number is 5. done clear
  C)
   One-fourth of 'm' is 4. done clear
  D)
   One-fourth of a number is 4. done clear
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• question_answer2)
  What are the two steps involved in solving the equation\[6p-4=14\]
  A)
   Adding 4 on both the sides and then dividing both sides by 6. done clear
  B)
   Subtracting 4 from both sides & then multiplying both sides by 6 done clear
  C)
   Subtracting 4 on the L.H.S. and multiplying by 6 on the R.H.S. done clear
  D)
   Adding 4 on the L.H.S. and dividing by 6 on the R.H.S. done clear
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• question_answer3)
  Which statement correctly represents the equation? \[3\left( x+2 \right)=x-2\]
  A)
   Thrice of x equals two more than x done clear
  B)
   Three more than x equals two less than x done clear
  C)
   The product of three and two more than x equals two less than x. done clear
  D)
   The product of three and two more than x equals two more than x. done clear
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• question_answer4)
  Which statement correctly represents the equation \[\frac{2}{3}(p+8)=6?\]
  A)
   The sum of- and 8 more than p equals 6. done clear
  B)
   The thirds the product of p and 8 equals 6. done clear
  C)
   The sum of two thirds of p and 8 equals 6. done clear
  D)
   Two thirds the sum of p and 8 equals 6. done clear
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• question_answer5)
  What is the value of m for the equation \[\frac{7}{2}(m+1)-4=24?\]
  A)
   5                                 done clear
  B)
   6            done clear
  C)
   7          done clear
  D)
   8 done clear
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• question_answer6)
  What is the value of S of the equation \[\frac{13}{32}S+\frac{15}{16}=5?\]
  A)
   8                                 done clear
  B)
   9            done clear
  C)
   10             done clear
  D)
   11 done clear
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• question_answer7)
  The perimeter of a square is 12 cm less than the perimeter of a rectangle. Each side of the square is of length 16 cm. While the length of the rectangle is 20 cm, find its breadth?                                                                    
  A)
   12 cm                          done clear
  B)
   14 cm done clear
  C)
   16 cm             done clear
  D)
   18 cm done clear
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• question_answer8)
  What is the value of K in the equation \[4\left( K-6 \right)=8?\]
  A)
   10                                done clear
  B)
   9           done clear
  C)
   8                     done clear
  D)
   7 done clear
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• question_answer9)
  7 subtracted from \[\frac{5}{2}\] of a number results in 23, then what is the number?
  A)
   \[-10\]                           done clear
  B)
   10             done clear
  C)
   12             done clear
  D)
  \[-12~\] done clear
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• question_answer10)
  A mango orchard is split into three blocks A, B & C. In block A, there are n trees, in block B, there are \[\left( n+2 \right)~\]trees an in block C, there are \[\left( n-2 \right)\]trees.

  Block A yields 120 mangoes per tree

  Block B yields 60 mangoes per tree

  Block C yields 180 mangoes per tree

  If the overall average yield per tree is 100 mangoes, find 'n'.
  A)
   4    done clear
  B)
   3            done clear
  C)
   2                                 done clear
  D)
   1 done clear
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• question_answer11)
  What is the value of \['x'\] in \[\frac{2x-1}{5}-\frac{1+x}{2}=2-\frac{x-1}{2}?\]
  A)
   5                                 done clear
  B)
  \[-8\] done clear
  C)
   8 done clear
  D)
  \[-5\] done clear
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• question_answer12)
  In each of these figures, the solution of an equation is given in brackets. Which of them is correct?
  A)
    done clear
  B)
    done clear
  C)
                    done clear
  D)
    done clear
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• question_answer13)
  Which of the following rows is correctly matched?
  A)

  Equation	Solution
  \[3m+6=0\]	\[m=-5\]

  done clear
  B)

  Equation	Solution
  \[5r+10={\scriptstyle{}^{1}/{}_{2}}~~\]	\[r=9/2\]

  done clear
  C)

  Equation	Solution
  \[\frac{3x}{2}-3=6\]	\[x=6\]

  done clear
  D)

  Equation	Solution
  \[0.7x-1.3=0\]	\[x=2.1~\]

  done clear
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• question_answer14)
  In a certain company, the number of females is eight more than one thirds the number of males. The number of females in the company is 22. If \[x\] is the number of male employees, which equation represents the given situation?
  A)
  \[\frac{3}{1}x+22=8\]               done clear
  B)
   \[\frac{1}{3}x+8=22\] done clear
  C)
  \[\frac{2}{3}x-8=22~\]              done clear
  D)
   \[\frac{3}{2}x-22=8~\] done clear
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• question_answer15)
  \[10x+16=35.~\] What is the value of \[10x-14~\]
  A)
   15                                done clear
  B)
   05           done clear
  C)
   14                                done clear
  D)
   16 done clear
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• question_answer16)
  In the see-saw shown below, the boy on the left weights '5K' kg whereas his friends on the right weight '60-5K' the; so that boy on the left weighs:
  A)
   40                                done clear
  B)
   30 done clear
  C)
   20                                done clear
  D)
   10 done clear
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• question_answer17)
  The ages of X and Y are in the ratio 1 : 2. After 8 years, their ages will be in the ratio 3 : 4. The sum of their present ages is
  A)
   4 years     done clear
  B)
   24 years        done clear
  C)
   8 years                         done clear
  D)
   12 years done clear
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• question_answer18)
  3 is subtracted from a number and the difference multiplied by 4. If 20 is added to the product and the sum is divided by 2, the result is equal to 10. Find the number.
  A)
   3      done clear
  B)
   4            done clear
  C)
   5                                 done clear
  D)
   6 done clear
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• question_answer19)
  \[{\scriptstyle{}^{2}/{}_{5}}\] is subtracted from a number and the difference is multiplied by 4. If 20 is added to the product and the sum is divide by 3, the result is equal to 10. Find the number.
  A)
   \[\frac{29}{5}\]                         done clear
  B)
   \[\frac{29}{10}\] done clear
  C)
   \[\frac{6}{5}\]                          done clear
  D)
   \[\frac{2}{3}\] done clear
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• question_answer20)
  A person travelled\[\frac{{{5}^{th}}}{8}\] of the distance by train, \[\frac{{{1}^{th}}}{4}\] by bus and the remaining 15 km by boat. Find the total distance travelled by him.                                  
  A)
   90 km                          done clear
  B)
   120 km done clear
  C)
   150 km             done clear
  D)
   180 km done clear
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• question_answer21)
  The total cost of three prizes is 900. If the value of second prize is\[\frac{1}{2}\]of the first and the value of 3rd prize is \[\frac{3}{4}\]of the first prize, find the value of first prize.
  A)
   Rs. 200                         done clear
  B)
   Rs. 300         done clear
  C)
   Rs. 400     done clear
  D)
   Rs. 450 done clear
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• question_answer22)
  Which of the following is an in equation?
  A)
   \[2x+5=60~\]              done clear
  B)
   \[2x+5<60~\] done clear
  C)
   \[2x+\text{ }5>60~\]               done clear
  D)
   \[2x+5\ne 65\] done clear
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• question_answer23)
  Choose the statement that best describes the equation\[\frac{1}{4}p=10.\]
  A)
   One - fourth of 10 is p             done clear
  B)
   One - fourth of p is 3 more than 3. done clear
  C)
   One - fourth of p is 10. done clear
  D)
   Four times p is 10. done clear
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• question_answer24)
  Vinay's father is 44 years old. If he is 5 years older than thrice Vinay's age, which of these equations on solving will give Vinay's age?
  A)
   \[3x+5=44~\]              done clear
  B)
   \[44+2x=3x~\] done clear
  C)
   \[44-6y=5+3y\] done clear
  D)
   \[3x-5=22\] done clear
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• question_answer25)
  Which of the following statements is true.
  A)
   The solution of \[4x=60~\]is 15 done clear
  B)
   \[y=7~\]satisfies the equation \[y+\text{ }0=-\text{ }7\] done clear
  C)
   \[p\text{ }=\text{ }\frac{5}{2}\]is the solution of \[12p-5=30\] done clear
  D)
   \[m=\frac{3}{2}~\]is the solution of \[4\text{ }\left( m+3 \right)=\frac{3}{2}~~\] done clear
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• question_answer26)
  The average of 8,10,12,14 and A is 12. The value of A is
  A)
   14                                done clear
  B)
   15            done clear
  C)
   16              done clear
  D)
   17 done clear
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• question_answer27)
  A number exceeds itself by 20 when added by 10% of itself. The number is
  A)
   300                              done clear
  B)
   400           done clear
  C)
   200         done clear
  D)
   500 done clear
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• question_answer28)
  Ram and Shyam are two friends. Ram has Rs. 12 less than twice the amount of money that Shyam has. If shyam has Rs. p and Ram has Rs. 21, then which equation represents the given situation?
  A)
   \[{}^{p}/{}_{2}+21=2\times 12\]        done clear
  B)
   \[2p\pm \text{ }12=21\] done clear
  C)
   \[p+21=2\times 12~\] done clear
  D)
   \[2p-12=24\] done clear
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• question_answer29)
  In an ODI cricket match between India and Australia. India scored 10 runs more than six- fifth the runs scored by Australia. If India has scored 310 runs, India won the match by how many runs.
  A)
   55                                done clear
  B)
   60            done clear
  C)
   65                                done clear
  D)
   70 done clear
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• question_answer30)
  Amit has some toffees in his Pocket. He gives away 12 toffees to Akash which is two third the total number of toffees. How many toffees are left with Amit?
  A)
   4                                 done clear
  B)
   5           done clear
  C)
   6                     done clear
  D)
   7 done clear
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• question_answer31)
  In a half yearly examination. Rajiv scored 36 marks less than twice the marks scored by Chitralekha. If Rajiv scored 224 marks, then how many marks were scored by Chitralekha.
  A)
   110                              done clear
  B)
   120 done clear
  C)
   130                              done clear
  D)
   140 done clear
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• question_answer32)
  If two -fifth of a number decreased by 12 is 50, what is the number?
  A)
   \[162\text{ }\frac{1}{2}\]                      done clear
  B)
   \[185\text{ }\frac{1}{2}~~\] done clear
  C)
   155                              done clear
  D)
   160 done clear
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• question_answer33)
  What is the value of k in the equation\[\frac{8}{7}=\frac{3}{4}(k-1)\]
  A)
    \[\frac{3}{2}\]                         done clear
  B)
   \[\frac{53}{21}\] done clear
  C)
   \[\frac{8}{21}\]                                     done clear
  D)
   None of these done clear
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• question_answer34)
  The breadth of a rectangle is 4 cm less than half of its length. The breadth of the rectangle is 14 cm. If the length of the rectangle is x cm, then which equation represents the given situation?
  A)
   \[4-\frac{x}{2}=14\]                 done clear
  B)
   \[\frac{x}{2}+4=14\]     done clear
  C)
   \[\frac{x}{2}-4=14\]      done clear
  D)
   \[x-\frac{1}{2}=14\] done clear
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• question_answer35)
  Which of the following does not affect the given equation?
  A)
   Adding 0 on the L.H.S. and 1 on the R.H.S. done clear
  B)
   Adding 1 on the L.H.S. and \[\left( -1 \right)\]on the R.H.S. done clear
  C)
   Adding the same number on both sides of the equation. done clear
  D)
   Adding 0 on the R.H.S. and 1 on the L.H.S. done clear
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• question_answer36)
  L = 0 is a simple linear equation. How many solutions does L have?
  A)
   1         done clear
  B)
   0              done clear
  C)
   3                                 done clear
  D)
   infinitely many done clear
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• question_answer37)

  A teacher asks the students of her class to write an equation for the statement Tenth of a number p is 100. Three students wrote the following equations. Which is correct?

  (i) \[\frac{p}{10}=100\]

  (ii) \[\frac{10}{2p}=100\]

  (iii) \[\frac{10}{p}=50\]

  A)
   (i) only             done clear
  B)
   (ii) only         done clear
  C)
   (iii) only                        done clear
  D)
   Both (i) and (iii). done clear
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• question_answer38)
  If \[O=\frac{2x+5}{7}\] and \[P=\frac{3x-2}{4}\]. What value of x makes\[O=P\]? (Where O and P denote two equations)
  A)
   \[\frac{-17}{3}\]                        done clear
  B)
   \[\frac{-34}{13}\]      done clear
  C)
   \[\frac{34}{13}\]             done clear
  D)
   \[\frac{17}{3}\] done clear
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• question_answer39)
  Given\[A=P(1+rt)\], what is the value of 'r' when\[A=27\],\[P=18\] and\[t=5\]?
  A)
   \[\frac{11}{23}\]                                   done clear
  B)
   \[\frac{2}{9}\] done clear
  C)
   \[\frac{27}{7}\]                         done clear
  D)
   \[\frac{1}{10}\] done clear
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• question_answer40)
  The scale shows is balanced. Each cube on the left side weights the same amount. How much does one of the cubes weight?
  A)
   1 gram                         done clear
  B)
   11 grams       done clear
  C)
   15 grams     done clear
  D)
   20 grams done clear
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