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.
2. Solve the equation and verify your
answer.
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. 2x – 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°, (x
+ 20)° and 60°. Find the two angles of the triangle.
10. Two supplementary angles differ by 20°. Find
the measure of each angle.
ANSWERS
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°
MCQs Questions for Class 7 Maths
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| Maths Worksheets for Other Chapters of Class 7 |
1. Integers questions for class 7
2. HCF and LCM questions for class 7
3. Fraction questions for class 7
4. Decimals class 7 worksheets
5. Exponents and powers class 7 worksheet
6. Rational numbers class 7 worksheet
7. Algebraic expressions worksheet for class 7
9. Ratio and proportion class 7 worksheet
10. Percentage worksheet for class 7
11. Profit and loss class 7 worksheet
12. Simple interest worksheet for class 7
13. Lines and angles class 7 worksheets
14. Triangle and its properties class 7 worksheets
15. Congruence of triangles class 7 worksheets
16. Symmetry worksheet for class 7
17. Constructions worksheet for class 7
18. Perimeter and area class 7 worksheets
19. Data handling class 7 worksheet
Some Extra Worksheets for ICSE Maths Class 7
1. Sets Class 7 ICSE Worksheets
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