Rajeshwari Tuition Centre

Branch 1 - Jeemangalam / Branch 2 - AVS Sunfields

SIMPLE EQUATIONS
Class 07 - Mathematics

Section A
1. Write the statements One fourth of m is 3 more than 7 in the form of equations: [1]

a) 4m + 7 = 3 b) 1

n
m − 3 = 7
4

c) 1
d) 4m + 3 = 7

ma itio
m + 7 = 3
4

m
2. Solve: 2q – 6 = 0 [1]

a) q = 3 b) q = 5

ala
c) q = 2
u d) q = 4
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3. Which is a solution of the equation 7x + 5 = 19? [1]

a) x = 3

c) x = 5 ng b) x = 2

d) x = 4
wa

4. If 8 bottles cost you ₹ 14 more than that of 6 bottles, then find the cost of 12 bottles. [1]

a) ₹ 76 b) ₹ 96
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Ce esh

c) ₹ 104 d) ₹ 84
5. Solve: 3s = 0 [1]
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a) s = -3 b) s = 2
j

c) s = 0 d) s = 3
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6. Solve: 3s = –9 [1]

a) s = 2 b) s = -3

c) s = 3 d) s = -2
7. If we fail to do the same mathematical operation on both sides of a balanced equation, the balance is ________. [1]

a) unequal b) undisturbed

c) equal d) disturbed
8. The solution of the equation 3x + 5 = 0 is [1]

a) - b)
5 5

3 3

c) 5 d) - 5
9. Solve: 3(n – 5) = 21 [1]

a) n = 13 b) n = 12

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 c) n = 14 d) n = 11
10. If 43m = 0.086, then the value of m is [1]

a) 2 b) 0.002

c) 0.02 d) 0.2
Section B
11. Solve : 3y + 4 = 5y - 4. [2]
12. Set up an equation in the case: The teacher tells the class that the highest marks obtained by a student in her class [2]
is twice the lowest marks plus 7. The highest score is 87.
13. The sum of ages of father and his son is 60 years. If the age of son is 20 years, find the age of the father. [2]
14. In an isosceles triangle, the base angles are equal. The vertex angle is 40°. what are the base angles of the [2]
triangle? (Remember, the sum of three angles of a triangle is 180°)

n
15. Solve the equation: 3s = 0. [2]

ma itio
16. Solve . [2]
x−5

m
− 4 = 2
3

17. If multiplying a number by 5 and adding 8 to it gives the same answer as subtracting the number from 20. Find [2]
the number.

ala
18.
19.
Solve the equation: 2q – 6 = 0.
Solve the equation:
3p u
= 6.
[2]
[2]
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4

ng
20. Solve the following equation: 3(n – 5) = –21. [2]
21. Set up an equation in the case: Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. [2]
22. What is that number one-third of which added to 5 gives 8? [2]
wa

23. Solve the equation: a

+ 3 = 2. [2]
5

24. Solve: 2(x + 3) = 24. [2]

25. In an isosceles triangle, the base angles are equal. The vertical angle is 40o. What are the base angles of the [2]
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triangle?
Section C
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26. Match the following: [2]

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Column (A) Column (B)

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(a) Value of the variable which makes the equation true (p) equation

(b) Something that can take different values (q) root of the equation

(c) Something that remains same always (r) variable

(d) A mathematical statement with equality sign (s) constant

27. Match the following: [2]

Column (A) Colum (B)

(a) 7 times x 7 times x (p) x + 20 = 53

(b)The equation for the sum of x and 20 is 53 (q) variable

(c) A condition on variable is called (r) equation

(d) Something that can vary is called (s) 7x

28. Match the following: [2]

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 Column (A) Column (B)

(a) The sum of two consecutive whole numbers is 53. The smaller number is (p) 44

(b) The sum of two consecutive even numbers is 86. The larger of the two is (q) 17

(c) The sum of two consecutive odd numbers is 36. The smaller one is (r) 36

(d) The sum of two consecutive multiples of 3 is 69. The larger number is (s) 26

29. Match the following: [2]

Column (A) Column (B)

(a) 2 subtracted from x is 8 (p) 5 + 8x = 60

(b) m - 7 = 3 (q) x - 2 = 8

n
(c) Thrice a number x is 8 (r) m = 10

ma itio
m
(d) 5 added to 8 times a number x gives 60 (s) 3x = 8

30. Match the following: [2]

ala
Column (A) Column (B)
u
(a) A number x increased by 7 is 15 (p) 5x = 25
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ng
(b) 9 subtracted from a number x equals 20 (q) x + 7 = 15

(c) A number x when multiplied by 5 equals 25 (r) x

7
= 7
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(d) A number x when divided by 7 equals 7 (s) x - 9 = 20

31. Match the following: [2]

ee

Column (A) Column (B)

Ce esh

(a) The same number can be added to both sides of an equation (p) Subtraction law
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(b) The same number can be subtracted to both sides of an equation (q) multiplication law
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(c) Both sides of an equation can be multiplied by same non - zero number (r) Division law
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(d) Both sides of an equation can be divided without changing equality (s) addition law

32. Match the following: [2]

Column (A) Column (B)

(a) A number when multiplied by itself is 8 more than itself. (p) x

3
+ 5 = 8

(b) 5 less than thrice a number x is 19. (q) x × x = x+ 8

(c) The sum of a number and its square is 30. (r) 3x - 5 = 19

(d) One-third of a number plus 5 is 8. (s) x + x2 = 30

33. Match the following: [2]

Column (A) Column (B)

(a) 2x - 3 = 3 (p) x = -5

(b) 3x
= 6 (q) x = 8
5

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 (c) 3x + 15 = 0 (r) x = 3

(d) 9x = 72 (s) x = 10

34. Match the following: [2]

Column (A) Column (B)

(a) 3
of a number is 30. The number is. (p) 90
4

(b) 2
of Manu's pocket money is Rs. 80. Her Pocket money is (q) 40
5

(c) 2

3
of total marks is 60. The total marks are (r) 30cm

(d) 1
of length of a stick is 5cm. The length of stick is (s) Rs. 200
6

35. Match the following: [2]

n
Column (A) Column (B)

ma itio
(a) Thrice a number when increased by 6 gives 24 (p) 80o

m
(b) Two complementary angles differ by 10. The larger angle is (q) 20

ala
(c) Two supplementary angles differ by 20. The smaller angle is (r) 6
u
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(d) A number when multiplied by 5 is increased by 80. The number is (s) 50o

36.
37.
ng Section D
Give the first step that you will use to separate the variable and then solve the equation x - 1 = 0
Check whether the value given in the bracket is a solution to the given equation or not.
[1]
[1]
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4p – 3 = 13 (p = –4)
38. What are expressions? [1]
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39. Write the equation for the statement: The sum of numbers x and 4 is 9 [1]
Ce esh

40. Write the equation for the statement: [1]

If you add 3 to one-third of z, you get 30.
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41. Give the first step you will use to separate the variable and then solve the equation: z
=
5
[1]
j

3 4
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42. Write the equation in statement form: m

=3 [1]
5
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43. Write the following equation in statement form. [1]

3p + 4 = 25
44. Write the equation in statement form: 3m
=6 [1]
5

45. Write equation for the statement: 4 more than a number is 15. [1]
46. People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non- [2]
fruit trees were two more than three times the number of fruit trees. What was the number of fruit trees planted if
the number of non-fruit trees planted was 77?
47. The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of [2]
the rectangle.
48. Solve the following equation: 3(n – 5) = –21 [2]
49. A number when divided by 6 gives the quotient 6. What is the number? [2]
50. Express the given statement as an equation: [2]
If 1 is subtracted from a number and the difference is multiplied by 1

2
, the result is 7
51. One fourth of a number is 20 less than the number itself. [2]

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52. Two times a number increased by 5 equals 9. Find the number. [2]
53. 1 subtracted from one third of a number gives 1. Find the number. [2]
54. 150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts. [2]
55. The sum of three times a number and 11 is 32. Find the number. [2]
56. Solve the equation: 2y + [3]
5 37
=
2 2

57. In a class of 55 students, the number of girls is times the number of boys. Find the number of boys and girls in [3]
5

the class.
58. Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old. [3]
59. The sum of ages of mother and her daughter is 60 years. If daughter’s age is one-third of her mother, find their [3]
ages.
60. Find the length and breadth of a rectangle given below, if its perimeter is 72m. [3]

n
ma itio
m
61. Solve: x−5

6
−
x−7

30
= 1−
x

5
. [3]

ala
62. Solve and check: . [3]
x−7 8−3x
=
3 4

63.
u
Set up an equation as per the given statement given at the end and solve it to find the unknown quantity in the [3]
ri T
equation.

ng
If I take three-fourths of a number and add 3 to it, I get 21.
64. Solve and check: . [3]
4x 5x 9x 51
+ = +
6 12 24 24

65. Set up an equation on the basis of the statement given at the end and solve it to find the unknown quantity in the [3]
wa

equation so obtained:
Anwar thinks of a number. If he takes away 7 from of the number, the result is 23
5

66. Solve: 3(x + 3) – 2(x – 1) = 5(x – 5) and check the result. [4]
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h

67. 60kg of an alloy of Zinc and Aluminum contains 80% of Zinc. How much Zinc must be melted into it to make [4]
jes

the alloy contains 85% of Zinc?

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68. The length of a rectangle is 6m less than 3 times its breadth. If the perimeter is 148m, find its length and breadth. [4]
69. Solve the following equation: 10 = 4 + 3 (t + 2) [4]
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70. Solve the riddle “What is too much fun for one, enough for two, and means nothing to three?” The answer to this [4]
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is hidden in the equations given below.

If 4c = 16, then c = ?
Ce

If 4e + 8 = 20, then e = ?
If 2r - 3 = 7, then r = ?
If 3t + 8 = 29, then t = ?
If 2s + 4 = 4s, then s = ?
To get the answer substitute the numbers for the letters it equals in the following:
manner: □ □ □ □ e □
, , , , ,
2 3 4 5 □ 7

71. A number is as much greater than 84 as it is less than 108. Find it. [4]
72. Rahul is 40 years old and Ravi is 20 years old. How many years ago, was Rahul three times as old as Ravi? [4]
73. A purse contains ₹ 250 in the denominations of ₹ 10 and ₹ 50. If the number of Rs. 10 notes is one more than [4]
that of ₹50 notes, find the number of each denomination.
74. Solve the equation: 4 = 5(p – 2) [4]
75. A man travelled of his journey by train, by a taxi, by bus and the remaining 2 km on foot. What is the [4]
3 1 1

5 4 8

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length of his total journey?

n
ma itio
m
ala
u
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ng
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Ce esh
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