Class 8 Exam > Class 8 Notes > Unit Test (Solutions): Linear Equations in a Variable
Unit Test (Solutions): Linear Equations in a Variable - Class 8 PDF Download
Time: 1 hour
M.M. 30
Attempt all questions.
- Question numbers 1 to 5 carry 1 mark each.
- Question numbers 6 to 8 carry 2 marks each.
- Question numbers 9 to 11 carry 3 marks each.
- Question number 12 & 13 carry 5 marks each.
12. Explain the applications of linear equations in daily life with four examples.
Answer:
Linear equations are used in various aspects of daily life:- Budgeting: Calculating expenses and savings using equations.
- Construction: Determining the amount of materials required.
- Travel: Calculating distances and time using speed and rate.
- Shopping: Finding discounts and total costs after applying percentages.
FAQs on Unit Test (Solutions): Linear Equations in a Variable - 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 'a' and 'b' are constants and 'x' is the variable. The graph of this equation is a straight line.
| 2. How do you solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you isolate the variable on one side of the equation. This is done by performing inverse operations, such as adding, subtracting, multiplying, or dividing both sides of the equation by the same number.
| 3. Can a linear equation have no solution? | |
Ans. Yes, a linear equation can have no solution. This occurs when the equation simplifies to a statement that is false, such as 2 = 3. In such cases, the lines represented by the equations are parallel and do not intersect.
| 4. What does it mean if a linear equation has infinitely many solutions? | |
Ans. A linear equation has infinitely many solutions when it simplifies to a true statement, like 0 = 0. This means that every value of the variable satisfies the equation, and the equations represent the same line.
| 5. How can you check if your solution to a linear equation is correct? | |
Ans. You can check if your solution is correct by substituting the value of the variable back into the original equation. If both sides of the equation are equal after substitution, then the solution is correct.
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Oct 01, 2025
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