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Simple Equations

(Class 7TH)

Sample Paper For Exam
1) Fill in the blanks with suitable words from the brackets:
a)

5x + 3 is an algebraic________________[equation / expression]
...


c)

The value of 7x – 5 when x = 5 is _________[7 / 30]

d)

Changing side of a term in an equation is called ____________[solving /
transposing]
...
[Yes/ No]
a)

2x – 6 = 3,

x =3,

b)

= 3x + 7 =8

x=7

c)

5x – 2 = 18

x=4

d)

x/3 – 6 = 0

x = 18

3) Write equations for the following statements:
a)

If you subtract 2 from 9 times a number, you get 7

b)

33 is 3 more than one-third of y

c)

If you add 5 to three times x, you get 29

d)

If you subtract 6 from 7 times y, you get 3 more than 6 times y
...

a)

2m + 7 = 17

b)

6x + 27 = 4x – 3

c)
d)

21 = 3 × (10 – x)

6) Set up equations and solve them to find the unknown numbers in the following cases:
a)

2 more than thrice a number is 17
...

d) 6 times a number is 6 less than 8 times the number
7) Perimeter of an equilateral triangle is 24 m
...

8) Length of a rectangle is 3 more than its width
...
(Take the width as w)
9) Ajas’s age (a) is two more than one-fourth of his mother’s age
...
If Jim scored 12 runs
more than Tim, how many runs did each of them score?

Answers:
1) a) expression

2) a) No
b) No
c) Yes
d) Yes

b) one
c) 30
d) transposing
3) a) 9x – 2 = 7
b) y/3 + 3 = 33
c) 3x + 5 = 29
d) 7y – 6 = 3 + 6y

4)
a) z – 2 = 12
b) = 2y – 19
c)
d)

8p + 6 = 5p

5)

6)

a) 2m = 10
b) 2𝑥 = -30
c) 2𝑥 = 15
d) 3x = 9

a) 2 + 3x = 17, x= 5
b) x = (1/3 × 51) - 3, x = 14
c) 5x/2 – 8 = 3x/2, x = 8
d) 6x = 8x – 6, x = 3

7) Each side = 8 m

8) length=7, width=4

9) a = 12

10) Jim: 96 runs, Tim: 84
runs



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