Linear Equations in One Variable Questions for Class 6

Linear Equations in One Variable Questions for Class 6

Linear Equations in One Variable Questions for Class 6

Linear Equations in One Variable Questions for Class 6 play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of questions related to that Linear Equations in One Variable for Class 6 is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the worksheets problems. Parents and teachers can also assess the students by giving these Linear Equations in One Variable Questions for Class 6 to the students to solve.

Maths-formula.com brings the such worksheets for you. By solving these Linear Equations in One Variable Questions for Class 6, you can increase the understanding of the concepts learnt. These worksheets are prepared by experienced teachers and subject matter experts. If you can solve the 90% of the questions correctly, it means your preparation is very good.

Thus, let us try to attempt these questions to solve and assess yourself. Parents and teachers can also give these questions to the students to test them. Unit tests can also be prepared by the teachers using these Linear Equations in One Variable Questions for Class 6.

Linear Equations in One Variable Worksheet 1

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

2. Solve the following equations:

a. 7x + 3 = 3x – 17

b. 2y – 6 = –2y + 2

c. 5x + 9 + 2x = – 12

d. 3x + 5 = 26 – 4x

e. 4a a + 5 = 28 – 2a

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 4x + 7x + 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 3x + 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

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 5x = 15, then x = ___________.

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

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

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

3. Solve for x:

a. 2x – 14 = 0

b. 5x – 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. 2y + 6 = –3y – 4

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

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 4x + 2x x + 7 = 32, then x is equal to ___________.

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

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

3. Solve each of the following equations:

a. 5x + 3 = 13

b. 2x + 3 + 4x = 27

c. 2x – 15 + 3x = 0

d. 4 – 7x = 18

e. 3x + 2 = –13

f. 2x – 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 3x + 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. 3x + 30 = 15

ii. 3x = 45

iii. 3x + 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:

3.85x + 5x = 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?

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

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