Welcome to this comprehensive Class 8 Mathematics Worksheet curated by Umendra Sir, focusing on Chapter 2: Linear Equations in One Variable. This worksheet includes a total of 25 well-structured questions, divided into three sections—basic equation solving, real-life word problems, and application-based questions. These questions are designed not only to strengthen your algebraic concepts but also to help you apply them in practical scenarios. At the end of the worksheet, we've included verification-based problems like Q25 to ensure students not only solve but also validate their answers. Use this worksheet as a practice tool to master the fundamentals of linear equations and improve your problem-solving skills.
Class 8 Mathematics Worksheet.
Umendra sir
Chapter 2: Linear Equations in One Variable
Total Questions: 25
Section
A: Solve the following linear equations (Q1–Q10)
1.
Solve: 3x + 5 = 14
2.
Solve: x/4 - 3 = 7
3.
Solve: 2(x - 3) = 8
4.
Solve: 5x - 7 = 2x + 11
5.
Solve: (3x/5) + 2 = x/2
6.
Solve: 4(x + 2) = 3x + 11
7.
Solve: (2x + 1)/3 = 5
8.
Solve: 0.2x + 0.3 = 0.5x - 0.6
9.
Solve: (x + 4)/2 = (x - 2)/3
10. Solve: 3(2x - 1) - 2(x + 4) = 5
Section B: Word Problems (Q11–Q20)
11.
The sum of two numbers is 45, and one number is twice the other. Find the
numbers.
12.
A number increased by 8 equals 15. Find the number.
13.
The age of a father is three times the age of his son. If their total age is 48
years, find their ages.
14.
A rectangle’s length is 5 cm more than its breadth, and its perimeter is 46 cm.
Find the dimensions.
15.
A man has some Rs. 5 coins and Rs. 2 coins, totaling 25 coins. If the total
amount is Rs. 94, find the number of each coin.
16.
The cost of 3 pens and 2 pencils is Rs. 25, while 2 pens and 3 pencils cost Rs.
20. Find the cost of one pen and one pencil.
17.
A number when multiplied by 4 and decreased by 12 gives 28. Find the number.
18.
A boat travels 30 km downstream in 3 hours and 30 km upstream in 5 hours. Find
the speed of the boat in still water and the speed of the stream.
19.
The sum of three consecutive multiples of 7 is 63. Find the multiples.
20.
A fraction becomes 1/2 when 1 is subtracted from the numerator and 2 is added
to the denominator. If the original fraction is x/y, and the sum of numerator
and denominator is 21, find the fraction.
Section C: Application-Based Questions (Q21–Q25)
21.
Solve: (2x + 3)/(x - 1) = 3. Verify your answer.
22.
The perimeter of an isosceles triangle is 30 cm. If the length of the equal
sides is twice the base, find the length of each side.
23.
A shopkeeper sells an article at a loss of 10%, but if he had sold it for Rs.
50 more, he would have gained 5%. Find the cost price of the article.
24.
A person’s present age is x years. After 7 years, his age will be 4 years more
than twice his present age. Find his present age.
25.
Solve the equation (5x - 2)/3 = (2x + 1)/2 and verify by substituting the
solution back into the equation.
