Class 8 Exam > Class 8 Notes > NCERT Solution (EX- 2.5) - Chapter 2: Linear Equations in one variable, Maths, Class 8
NCERT Solution (EX- 2.5) - Chapter 2: Linear Equations in one variable, Maths, Class 8 PDF Download
Linear Equations in one variable
Exercise 2.5
Question 1:
Solve the following linear equation: 
Answer 1:
To check:
Therefore, it is correct.
Question 2:
Solve the following linear equation: 
Answer 2:
To check:
Therefore, it is correct.
Question 3:
Solve the following linear equation: 
Answer 3:
To check:
Therefore, it is correct.
Question 4:
Solve the following linear equation: 
Answer 4:
To check:
Therefore, it is correct.
Question 5:
Solve the following linear equation : 
Answer 5:
To check:
Therefore, it is correct.
Question 6:
Solve the following linear equation: 
Answer 6:
To check:
Therefore, it is correct.
Question 7:
Simplify and solve the following linear equation: 3(t-3) = 5(2t+1)
Answer:
To check:
Therefore, it is correct.
Question 8:
Simplify and solve the following linear equation: 15(y-4)-2(y-9)+5(y+6) =0
Answer 8:
To check:
Therefore, it is correct.
Question 9:
Simplify and solve the following linear equation
To check:
Therefore, it is correct.
Question 10:
Simplify and solve the following linear equation: 0.25(f-3) =0.05(10f-9)
Answer 10
0.25(f-3) =0.05(10f-9)
To check:
0.25(4f-3)= 0.05(10f-9)
Therefore, it is correct.
FAQs on NCERT Solution (EX- 2.5) - Chapter 2: Linear Equations in one variable, Maths, Class 8
| 1. What is a linear equation in one variable? |  |
Ans. A linear equation in one variable is an equation that can be written in the form ax + b = 0, where x is the variable, a and b are constants. The degree of this equation is one, and it represents a straight line on a graph.
| 2. How do we solve linear equations in one variable? | |
Ans. To solve a linear equation in one variable, we need to isolate the variable on one side of the equation. We can do this by performing the same mathematical operation on both sides of the equation. For example, if we have an equation 2x + 3 = 7, we can isolate x by subtracting 3 from both sides of the equation, which gives us 2x = 4. Then, we can divide both sides of the equation by 2, which gives us x = 2.
| 3. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable have applications in many fields, including science, engineering, and economics. They are used to solve problems related to distance, time, speed, and cost, among others. Linear equations in one variable are also a fundamental concept in algebra, and they provide a basis for understanding more complex mathematical concepts.
| 4. Can all equations be solved using the methods of linear equations? | |
Ans. No, not all equations can be solved using the methods of linear equations. Linear equations are a specific type of equation that can be solved using algebraic methods. There are many different types of equations, and each requires a different approach to solve them. For example, quadratic equations, which are equations of degree two, require the use of the quadratic formula or factoring to solve them.
| 5. How can linear equations be applied to real-life situations? | |
Ans. Linear equations can be applied to real-life situations in many ways. For example, they can be used to calculate the distance travelled by a car given its speed and time. They can also be used to calculate the total cost of a purchase given the price and the number of items bought. In engineering, linear equations can be used to determine the stresses and strains in structures under different loads.
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