MCO WORKSHEET-1 CLASS — VII: CHAPTER ~ 4 SIMPLE EQUATIONS 1. Write the statements “The sum of three times x and 1 is 32"in the form of equations: (a) 6x -5 (b) 3x4 11 (c) IIx*3 (d) 3x, 2. Write the statements “If you subtract from 6 times a number, you get 7."in the form of equations: (a) 6x—5=7 (b) 5x-6=7 ()x-5=7 (a)x-6=7 3. Write the statements “One fourth of m is 3 more than 7” in the form of equations: ()4m—7=3 by m—4=3 @tm-7=3 ay tm3a7 4. Write the statements “One third of a number plus 5 is 8” in the form of equations: (a)3m+5=8 (b) m+ 5=8 & ims5e8 imea=s 5. Which is a solution of the equation 2x = 12 (@)x=2 x23 (x=4 (ax=6 6. Which is a solution of the equation x +4 =6 (@)x=2 x23 (x=4 (ax=6 7. Which is a solution of the equation 7x #5 = 19 (a)x=2 (b) x=3 ()x=4 (Wx=6 8. Which is a solution of the equation 4x—3 = 13, fa)x=2 (b)x=3 (xs4 (@)x=6 9. Which is a solution of the equation 5x +2 (a)x=2 (b)x=3 ()x=4 W)x=6 10. Which is a solution of the equation 3x — 1 (ayx=2 (b) x= «) =4 W@)x=6 1, Write the statements “The sum of numbers x and 4 is 9in the form of equations: (ax-4=9 (b)xe4=9 ()x+9=4 (d) none of these 12, Write the statements “2 subtracted from a number is 8"in the form af equations: (a)x-8=2 (b)x-2=8 (e)x#2 (d) none of these 413, Write the statements “Seven times a number plus 7 gets you 77"in the form of equations (a) x-7=77 (b) 7x 7=77 ()x#7=77 (d) none of these 14, Write the statements “If you take away 6 from 6 time a number, you get 60" in the form of equations: (a) 6x +6 =60 {b) 6x6 = 60 (e)x-6 =60 (@) none of these 45. Write the statements “If you add 3 to one-third of a number, you get 30"in the form of equations: (a)x#3=30 b) bx 3=30 © ()x+ (d) none of theseMCO WORKSHEET-II CLASS — VII: CHAPTER ~ 4 IMPLE EQUATION: 1. The solution of the equation p + 4 = 15 is p= (a) 12 (b) 13 (14 @u 2. The solution of the equation m—7 =3 is m= fa) 10 (b) 13 (©) 12 mu 3. The solution of the equation 2m =7 is m=. fa) 12 () 13 te) 14 (@) none of these The solution af the equation = =3ism fa) 12 ) 13 (15 (d) none of these 5. The solution of the equation a =6ism= (12 mu (©) 10 (d) none of these 6. The solution of the equation Een =8 isp= fa) 12 (b) 13 14 @u The solution of the equation 3p +4 = 25 is p= fa)5 6 (e)4 (7 8. The solution of the equation 4p — 2 = 18 is p= 5 b)6 4 (a7 ‘The solution af the equation 3n + 7 = 25 is (a) 12 mu (©) 10 (d) none of these 10, The solution of the equation 2p — 1 = 23 is p= (a) 12 b) 1 (©) 10 (@) none of these 1. The solution af the equatian =e =40 isp= ws 6 4 @7 3 12. The solution of the equation Zé =6is fa) 10 (b) 20 (©) 30 (d) none of theseMCO WORKSHEET-III CLASS — VII: CHAPTER ~ 4 IMPLE EQUATION! 1. The solution of the equation 3n 2 = 46 is n= fa) 12 (b) 1 (e) 16 (@) none of these 2. The solution of the equation Sm +7 = 17 is m= fa)2 (b)3 4 {@) none of these 3. The sum of three times a number and 11 is 32. Find the number. a6 b)7 (©) 8 (d) mone of these 4. Find a number, such that one fourth of the number is 3 more than 7. (a) 40 (b) 20 (c) 30 () none of these §. Raju’s father’s age is $ years more than three times Raju's age. Find Raju’s age, if his father is 44 years old, (a) 12 ) 13 (15 (@) none of these 6. What is that number one third of which added to 5 gives 87 11 (b) 10 ©> () none of these 7. Find a number such that on adding 4 to eight times of it; you get 60. 6 (b)7 (©) 8 (@) none of these & Find a number such that one fifth of it minus 4 gives 3. fa) 45 (b) 25 (35 (@) none of these 9. The solution of the equation 12p — $ =25 is p = (a) 2 b) 2 () 10 (@) none of these 10, The solution af the equation 4(m + 3) = 18 is m= @) $ 3 ©* (d) none of these 1. The solution of the equation 34 - 5(p ~ 1) = 4 is p= @)s (b) 6 4 (a7 12. Nine added to thrice a number a whole number gives 45. Find the number. fa) 12 (b) 13 (15 (d) none of these 13, Four-fifths of a number is greater than three-fourths of the number by 4, Find the number. (a) 40 b) 0 (©) 80 (d) none of these 14. Twice a number when decreased by 7 gives 45. Find the number. (a) 26 (b) 23 (25 (d) none of these 15. Thrice a number when increased by 5 gives 44. Find the number. fa) 12 (b) 13 (15 (d) none of thesePRACTICE QUESTIONS CLASS — VII: CHAPTER ~ 4 SIMPLE EQUATIONS 1. Write the following statements in the form of equations: (i The sum of three times. and 11 is 32. (ii) IF you subtract 5 fram 6 times a number, you get 7. i) One fourth of m is 3 more than 7. iv) One third of a number plus 5 is 8. 2. Convert the following equations in statement form: 9 (ii) Sp = 20 (iit) 3a + 7= 1 Gv) $2 6. @ax- 3. Write the following situation in the form of equations: Raju’s father's age is 5 years more than three times Raju's age. Raju’s father is 44 years old, Set up-an equation to find Raju’s age. 4, A shopkeeper sells mangoes in two types of boxes, one small and one large. A large box contains as many as 8 small boxes plus 4 loose mangoes. Set up an equation which gives the number of ‘mangoes in each small box. The number of mangoes in a large box is given ta be 100. 5. Write equations for the following statements: (i) The sum of numbers x and 4 is 9. (il) The difference between y and 2 is 8. (ii) Ten times a is 70. (iv) The number 6 divided by 5 gives 6. (v) Three fourth of tis 15. (vi) Seven times m plus 7 gets you 77. (vii) One fourth of a number minus 4 gives 4. (viii) If you take away 6 from 6 times y, you get 60 (ix) If you add 3 to one third of z, you get 30. 6. Write the following statements in the farm of equations (a) 11 added to 2m to get 40. (b) 11 subtracted from. 21 to 25 (c) 5 times y to which 3 is added to get 45 (@) 5 times y from which 3 is subtracted to get 33 (e) y is multiplied by — 8 to get 24 (0). is multiplied by — 8 and then 5 is added to the result to get 29. multiplied by 5 and the result is subtracted from 16 to get 4 added to 16 to get 8. 7. The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the Jength, if the breadth is b meters? & Solve: (a)3n+7=25 —(b) 23p—1=23 (c} 2p -5=25 9 Solve: ()3n-2=46 (bh) Sm*7=17 — (e) 10p= 100 (a) 10p + 10 = 100 (e) 3s=-9 (39+ 12=0 {g)2g-6=0 th) 2g + 6=12 iy 20, 3p 3p. =P i) SP 40 2256 hy Pa 6 @mi2=2 os 0 410. Solve: (a) 4 (we +3) = 18, (b) 20+ 3) =5 11. Solve the following equations. (a) 4 = Sip —2) (b) 4 = Sip - 2} (c)-16 =-5 (2-p) (@) 10 =4 + 31 + 2) (e) 28=4 + 3 + 5) (.O= 16 + 4em—6) 16. The sum of three times a number and 1] is 32. Find the number. 17. Find a number, such that one fourth of the number is 3 more than 7. 18. When you multiply a number by 6 and subtract 5 from the product, you get 7. Find the number. 19. What is that number one third of which added to 5 gives 8? 20. Raju’s father’s age is $ years more than three times Raju's age. Find Raju’s age, if his father is 44 years old. 21. There are two types of boxes containing mangoes. Each box of the larger type contains 4 more ‘mangoes than the nuniber of mangoes contained in 8 boxes of the smaller type. Each larger box contains 100 mangoes. Find the number of mangoes contained in the smaller box? 22. The teacher tells the class that the highest marks obtained by a student in her class is twice the Jowest marks plus 7. The highest score is $7. What is the lowest score? 23. In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°). 24, Smita’s mother is 34 years old. Two years from now mother's age will be 4 times Smita’s present age. What is Smita’s present age? 25. Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score? 26. Nine added to thrice a number a whole number gives 45. Find the number. 27. Four-fifths of a number is greater than Uhree-fourths of the number by 4. Find the number. 28. Twice a number when decreased by 7 gives 45. Find the number. 29. Thrice a number when increased by $ gives 44. Find the number. 30. Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi's age. What is Laxmi's age? 31. Maya, Madhura and Mohsina are friends studying in the same class. In a class test in geography, Maya got 16 out of 25. Madhura got 20. Their average score was 19. How much did Mobsina seore? 32. People of Sundargram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees, What was the number of fruit trees planted?33. The sum of two consecutive multiples of 3 is 69. Find the numbers. 34. The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plat is 142 m, find the dimensions of the plot. 35. Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio 2 : 3. Find their present age’ 36. A father is 30 years older than his son. In 1? years, the man will be three times as old as his son. Find their present ages. ‘37. The ages of Arun and Rahul are in the ratio 7 : 5. Ten-eyars hence, the ratio of their ages will be 97. Find their present ages 38. [n an examination, a student requires 40% of the total marks ta pass. If Vandana gets 185 marks and fails by 15 marks, find the total marks. 39. Five years aga a man was seven times as old as his son. Five years hence, the father will be three times as old as his son. Find their present ages. 40. A sum of Rs. 5004s in the farm of denominations of Rs. 5 and Rs. 10. If the total number of notes is 90, find the number of notes of each type. 41. The total cost of 3 tables and 2 chairs is Rs. 745. Ifa table costs Rs. 40 more than a chair, find the price of each, 42. After 12 years Uday will be 3 times as old as he was 4 years ago. Find his present age 43. Two-third of a number less than the original number by 10. Find the original number. 44, Salve: ***- x2 48. Solve: + +~ = 24 win