**Linear Equations in One Variable Questions for Class 6**play a vital role in strengthening the maths concepts.

**Linear
Equations in One Variable Worksheet 1 with Answers**

**1.
**If one-half of a number is greater than its
one-third by 4, find the number.

**2.
**Solve the following equations:

a.
7*x *+ 3 = 3*x *– 17

b.
2*y *– 6 = –2*y *+ 2

c.
5*x *+ 9 + 2*x *= – 12

d.
3*x *+ 5 = 26 – 4*x *

e.
4*a *– *a *+ 5 = 28 – 2*a *

f.
2 (*x *+ 3) = 16

**3.
**Think of a number *x*, add 10 to it. If
the result is 35, find *x*.

**4.
**Match each of the following with the correct
answers:

a.
A linear equation is of degree i. –2

b. If any number is added or
subtracted on

both sides of an equation, the
equation is ii.
14

c.
If 4*x *+ 7*x *+ 3 = –19, then *x *is equal to iii.
1

d. Perimeter of triangle with sides *x
*+ 2, *x *+ 4, *x *+ 6 is 54. Hence, *x *is iv.
unchanged

**5. **Sum of three consecutive numbers is 24. If the
smallest number is *x*, find the numbers.

**6.
**Fill in the blanks.

a. If 5 is subtracted from both the
sides of the equation x/2 + 7 = x/5, then the equation remains ___________.

b.
If B’s age is 5 times A’s age, then 10 years hence B’s age equals to
___________.

c.
The power of the variable *x *in linear equation is ___________.

**7.
**On multiplying 3 with twice a number less by
5, we get 27. Find the number.

**8.
**State true or false for each of the following:

a.
If a number is added on either side of an equation, it remains unchanged.

b.
A number when increased by 7 is equal to 12, then the number is 19.

c.
If *x *+ 7 = 3, then 3*x *+ 21 = 9.

d.
If the sum of three consecutive numbers is 15, then the numbers are 4, 5 and 6.

**9.
**What is the length of each side of a square,
if its perimeter is 60 cm?

**Linear
Equations in One Variable Worksheet 2 ****with Answers**

**1. **When 11 is added with twice a number, it is equal to 3 added to
thrice of it. Find the number.

**2.
**Fill in the blanks:

a.
If 5*x *= 15, then *x *= ___________.

b.
If 3*a *+ 5 = 11, then *a *= ___________.

c.
If the cost of 5 pens is ₹30, then the cost of one pen is ___________.

d.
If 3*x *= – 15, then 7*x *= ___________.

**3.
**Solve for *x*:

a.
2*x *– 14 = 0

b.
5*x *– 10 = – 5

**4. **A girl is 5 years older than her brother. The sum of their ages is
25. Find their ages.

**5.
**Solve for *y*:

a.
2*y *+ 6 = –3*y *– 4

b.
2*y *– 3 – *y *= 11

**6. **The sum of three consecutive even numbers is 15. Taking least one
as *x, *form an equation from this and then solve it.

**7. **Mohan takes twice as much time to get ready
than to eat breakfast. If he finishes both the things in 45 minutes, how much
does he take for each activity?

**8.
**Choose correct answer for each of the
following from the given options:

a.
An equation with one variable is called a

i. linear equation

ii. simultaneous equation

iii. equation

iv. statement

b.
A number *x *increased by 10 equal to 22, is written as

i.
*x *= 32

ii. *x *=
– 12

iii. *x *+ 22 =
10

iv. *x *+ 10 = 22

c.
Sum of three consecutive even number where *x *is the smallest is written
as

i.
*x *+ 6

ii. *x *+
*x *+ 2 + *x *+ 4

iii.
3(*x *+ 4)

iv. *x *+ *x
*+ 1 + *x *+2

d.
If 2*x *+ 4 = 10, then *x *is equal to

i. 7

ii. 3

iii. 12

iv. 4

**9.
**State true or false for each of the following:

a.
A linear equation has one variable with degree two.

b.
If 3*x *+ 5 = 2*x *+ 7, then 3*x *+ 5 – 8 = 2*x *+ 7 – 8.

c. A father is three times his son’s
age and the sum of their ages is 64. Therefore, father’s age is 40 years.

d. If x/3 + x/5 =
32, then *x *= 60.

**Linear
Equations in One Variable Worksheet 3 ****with Answers**

**1. **Priti had *x *number of sweets. She distributed them among 10
friends. If each friend received 5 sweets, find *x*.

**2. **Fill in the blanks.

a.
If two consecutive odd numbers add upto 44, then the numbers are ___________
and ___________.

b.
If 4*x *+ 2*x *– *x *+ 7 = 32, then *x *is equal to
___________.

c.
Perimeter of a triangle whose sides are *x*, 3*x *and 2*x *+ 8
is equal to ___________.

d.
The angles of a triangle are 2*x*°, 3*x*° and 5*x*°, then *x *is
equal to ___________.

**3.
**Solve each of the following equations:

a.
5*x *+ 3 = 13

b.
2*x *+ 3 + 4*x *= 27

c.
2*x *– 15 + 3*x *= 0

d.
4 – 7*x *= 18

e.
3*x *+ 2 = –13

f.
2*x *– 5 – *x *= 5

**4.
**Write the algebraic expression for two-third
of a number exceeds 5 by 1.

**5.
**Sum of two consecutive odd numbers is 16. Find
the numbers.

**6.
**Choose the correct answer for each of the
following:

a.
If 3 is added on both sides of the equation 3*x *+ 5 = 8, then the
equation

i. changes

ii. is unchanged

iii. decreases by 3

iv. increases by 3

b.
The equation of the statement ‘three times a number added to 15 gives 30’ is

i.
3*x *+ 30 = 15

ii. 3*x *=
45

iii. 3*x *+ 15 =
30

iv. *x *= –5

c.
If 2(*x *+ 5) + 4(*x *– 5) = 14, then *x *is equal to

i. 4

ii. 6

iii. 12

iv. 7

d.
If A’s age is four times B’s age and sum of their ages is 60, then B’s age is

i. 12

ii. 48

iii. 24

iv. 60

**7.
**If father is five years more than three times
as old as his son and the sum of their ages is 57, find the age of each of
them.

**8.
**Match each of the following with the correct
answer:

a. If a number is multiplied by 5 and
then 15 taken away,

the result is 20. The number is i.
*x *+ *c *

b.
An equation with one variable added to a constant *c *is ii. 7

c. If a term of an equation is
transposed from one side to

the other side the sign iii.
changes

**9.
**Solve for *x*:

3.85*x
*+ 5*x *= 265.5

**10. **If the number of mathematics books is 60 more
than the number of science books, find how many books of each type are there?

**ANSWERS**

**Worksheet
1 **

1. 24

2. a. x = -5 b. y = 2

c. x = -3 d. x = 3

e. a = 23/5 f. x = 5

3. 35

4. a. iii b. iv

c. i d. ii

5. 7, 8, 9

6. a. unchanged

b. (5x + 10) years

c. one

7. 7

8. a. False b. False

c. True d. True

9. 15 cm

**Worksheet 2**

1. 8

2. a. 3 b. 2

c. ₹ 6 d. -35

3. a. x = 7 b. x = 1

4. 10 year, 15 years

5. a. y = -2 b. y =
14

6. x + x + 1 + x + 2 = 15,

x = 4

7. 15 minutes for breakfast;

30 minutes to get ready

8. a. i b. iv

c. ii d. ii

9. a. False b. True

c. False d. True

**Worksheet 3**

1. 50

2. a. 21, 23 b. 5

c. 6x + 8 d. 18°

3. a. x = 2 b. x =
4

c. x = 3 d. x = -2

e. x = -5 f. x = 10

4. 2x/3 + 1 = 5

5. 7, 9

6. a. ii b. iii

c. i d. i

7. 13 years, 44 years

8. a. ii b. i c. iii

9. x = 52.33

10. x, x + 60

**MCQs Questions for Class 6 Maths**

Maths Worksheets for Other Chapters of Class 6 |

**1. ****Knowing our numbers class 6 worksheets**

**2. ****Integers questions for class 6**

**3. ****HCF and LCM questions for class 6**

**4. ****Fraction questions for class 6**

**6. ****Exponents and powers extra questions**

**7. ****Algebraic expressions for class 6 worksheets**

**9. ****Ratio and proportion class 6 worksheet**

**10. ****Percentage questions for class 6**

**12. ****Simple interest questions for class 6**

**13. ****Basic geometrical ideas class 6 worksheet**

**14. ****Worksheet on angles for class 6**

**15. ****Parallel lines and transversal worksheet**

**17. ****Triangles worksheet for class 6**

**18. ****Construction questions for class 6**

**19. ****Symmetry class 6 worksheet**

**20. ****Perimeter and area class 6 worksheets**

**21. ****Data handling class 6 worksheets**

**Some Extra Worksheets for ICSE Maths Class 6**

**1. ****Sets maths class 6 worksheets**

**2. ****Adding, subtracting, multiplying and dividing polynomials worksheets**

Maths Worksheets for Class 1 |