Question

1. Set up equations for the following statements
i)The difference of y and 8 is 54 ii) One-fourth of x gives 20 iii)Two-fifths of a number minus 3 gives 7 iv) Five times a number m added to 5 is 15 v) 5 less than a number y is 12
2. Write the following equations in statement form
(i) x + 14= 20 (ii) 5y – 2 = 28 iii) + 2= 6 iv) 4p = 10
3. Check whether the value given in the brackets is a solution or not.
(a) 2p +3 = 7 ( p = 2) b) 3n − 4 = 6 ( n = −3)
4. Solve the following equations
a) x – 7 = 4 b) 6( x + 1) = 12 c) 2y – 7 = 6 d) 5m = 35 e)
f) + 5= 9 g) h) i) 3 (y+ 6) = – 24
j) 9 = 2(x+ 5) k) –5 + 7(y+5) = 16 l) 15 + 5 (x – 9) = 0
5. The sum of the four times a number and 13 is 45. Find the number.
6. Subtract 12 from twice a number gives 8. Find the number.
7. Ram has 2 marbles more than 5 times Gopal has. Ram has 32 marbles. How many marbles Gopal has?
8. Mohan is 6 years older than Rohan. The sum of their ages is 20.Find their present ages.
9. Thrice a number when increased by 4 gives 40. Find the number.
10. Akbar thinks of a number. If he takes away 8 from four-fifths of the number the result is 20. Find the number.

Answer 1

1. i) y -8 = 54

ii) x/4 = 20

iii) 2/5 x -3 = 7

iv) 5m + 5 =15

v) y -5 = 12

2. i) 14 is added to x then it gives 20

ii) difference of 5 times y and 2 is 28

iii) adding 2 in x gives 6

iv) 4 times p is 10

3. a) yes

b) No

4. a) x = 11

b) x = 1

c) y = 13/2

d) m = 7

e) not given

f) x = 4

g) not given

h) not given

i) y = -14

j) x = -1/2

k) y = -2

l) x = 6

.....hope it's helpful :)