Linear Equations Class 7 Worksheet

# Linear Equations Class 7 Worksheet

Linear Equations Class 7 Worksheets play a vital role in revising the maths concepts.

## Linear Equations Class 7 Worksheet 1 with Answers

1. Write the equations for the following statements.

a. The sum of a number and 5 is 25.

b. 9 subtracted from a number is 21.

c. 3 times a number is 45.

d. One-fourth of a number is –4.

e. 12 added to five times a number is 22.

f. 4 times a number subtracted from 32 is 14.

a. 4x + 5 = 25

b. 2x – 7 = 13

c. 3x + 6 = 15

d. 5x – 1 = 19

e. 5x + 2 = 22

f. 6x – 3 = 21

g. 7x + 1 = 36

h. 3x – 2 = 28

3. Choose the equations for which x = 3 is a solution.

a. 4x = 16

b. x – 3 = 0

c. 5x = 40

d. x/2 – 5 = 6

e. 3x = 9

f. 2– 2 = 4

g. 2x = 32

h. x/4 – 1 = 5

4. Solve the following equations by trial and error method.

a. 3x + 2 = 14

b. 4x – 5 = 15

c. x/2 – 10 = 2

d. 6x + 1 = 13

e. x/3 – 6 = 4

f. 11x + 1 = 12

g. 3x/2 – 3 = 6

h. 7x + 9 = 30

5. Solve the following equations.

a. x – 6 = 9

b. x + 9 = 13

c. x + 4 = 3

d. x + 6 = 17

e. x – 5 = – 1

f. x + 7 = 4

g. x – 8 = 2

h. 9 – x = 7

6. The sum of one-third of a number and 4 is 10. Find the number.

7. Two complementary angles differ by 10°. Find the measure of each angle.

8. The length of a rectangle is 4 cm more than its breadth. If the perimeter of the rectangle is 32 cm, find the length and breadth of the rectangle.

9. The sum of three consecutive multiples of 6 is 90. Find the numbers.

10. The number of boys in a class is 13 more than the number of girls in the class. If there are 73 students in the class, find the number of girls and boys.

## Linear Equations Class 7 Worksheet 2 with Answers

1. Write the following linear equations in the form of statements.

a. x + 4 = 9

b. x – 5 = 14

c. 3x = – 15

d. 2x + 3 = 7

e. 3x – 9 = –15

f. 4x = 24

g. 5x + 2 = 18

h. 6x – 11 = 13

i. 7x/2 = –21

2. Solve the following equations.

a. 5x – 1 = 29

b. 3x + 4 = 25

c. 4x + 2 = 22

d. 2x – 3 = 13

e. 7x + 4 = 32

f. 6x – 8 = 16

3. Determine the value of the variable.

a. 2(x + 3) = 16

b. 3(x – 2) = 9

c. 4(x + 5) = –12

d. 5(x + 2) = 25

e. 2(x – 3) = 12

f. 2(x + 4) = –8

g. 6(x + 5) = 36

h. 5(x – 6) = 20

i. 3(x + 1) = –15

4. Check whether the value given in the bracket is a solution to the given equation or not.

a. y – 7 = 2; (y = 9)

b. 19x – 1 = 18; (x = 0)

c. 9x + 2 = – 2; (x = 3)

d. 6x – 7 = 17; (x = 5)

5. Solve the following equations.

a. 3 (2x – 3) + 5 (3x – 4) = 14

b. 3a + 2 (a + 2) = 20 – (2a – 5)

c. 5 (2x – 3) – 3 (3x – 7) = 7

d. 2.5x – 7 = 0.5x + 13

6. Raman is 4 times as old as his son. After 5 years, he will be thrice his son’s age. Find their present ages.

7. The sum of two consecutive numbers is 41. Find the numbers.

8. The length of a rectangular plot exceeds its breadth by 6 m. If the perimeter of the plot is 148 m, find the dimensions of the plot.

9. Three angles of a triangle are , (x + 20)° and 60°. Find the two angles of the triangle.

10. Two supplementary angles differ by 20°. Find the measure of each angle.

Worksheet 1

1. a. x + 5 = 25

b. x – 9 = 21

c. 3x = 45

d. x/4 = -4

e. 5x + 12 = 22

f. 32 – 4x = 14

2. a. x = 5          b. x = 10

c. x = 3            d. x = 4

e. x = 4            f. x = 4

g. x = 5            h. x = 10

3. b, e, f have solutions x = 3.

4. a. x = 4          b. x = 5

c. x = 24         d. x = 2

e. x = 30         f. x = 1

g. x = 6           h. x = 3

5. a. x = 15       b. x = 4

c. x = -1         d. x = 11

e. x = 4          f. x = -3

g. x = 10        h. x = 2

6. 18               7. 50°, 40°

8. Length = 10 cm; breadth = 6 cm

9. 24, 30, 36

10. Girls: 30; boys: 43

Worksheet 2

1. a. 4 added to a number gives 9

b. 5 subtracted from a number given 14

c. Three times a number is -15

d. 3 added to twice a number is 7

e. 9 decreased by three times a number gives -15

f. 4 times a number is 24

g. 5 times a number increased by 2 gives 18

h. 6 times a number decreased by 11 gives 13

i. 7 times of a number divided by 2 gives -21

2. a. x = 6        b. x = 7

c. x = 5         d. x = 8

e. x = 4         f. x = 4

3. a. x = 5        b. x = 5

c. x = -8        d. x = 3

e. x = 9         f. x = -8

g. x = 1         h. x = 10

i. x = -6

4. a. Yes          b. No

c. No            d. No

5. a. x = 43/21    b. a = 3

c. x = 1            d. x = 10

6. 40 years; 10 years

7. 20, 21

8. 40 m by 34 m

9. 50°, 70°

10. 100°, 80°

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