Linear Equations in One Variable - Applications MCQ & Objective Questions
Understanding "Linear Equations in One Variable - Applications" is crucial for students preparing for various exams. This topic not only forms the foundation of algebra but also plays a significant role in solving real-world problems. Practicing MCQs and objective questions helps students enhance their problem-solving skills and boosts their confidence, ultimately leading to better exam scores.
What You Will Practise Here
Identifying linear equations and their applications in real-life scenarios.
Solving linear equations in one variable using different methods.
Understanding the concept of slope and intercept in linear equations.
Applying linear equations to solve word problems effectively.
Exploring graphical representations of linear equations.
Learning key formulas related to linear equations in one variable.
Reviewing important definitions and terminologies associated with linear equations.
Exam Relevance
The topic of "Linear Equations in One Variable - Applications" is frequently tested in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to apply their knowledge to solve equations, interpret graphs, and analyze word problems. Common question patterns include multiple-choice questions that assess both conceptual understanding and practical application of linear equations.
Common Mistakes Students Make
Confusing the terms 'solution' and 'root' of an equation.
Misinterpreting word problems, leading to incorrect equation formation.
Overlooking the importance of checking the solution in the original equation.
Failing to understand the graphical representation of linear equations.
FAQs
Question: What are linear equations in one variable? Answer: Linear equations in one variable are equations that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.
Question: How can I solve linear equations in one variable? Answer: You can solve linear equations by isolating the variable on one side of the equation using algebraic operations.
Start practicing "Linear Equations in One Variable - Applications MCQ questions" today to solidify your understanding and excel in your exams. Remember, consistent practice with objective questions will help you grasp the concepts better and prepare you for success!
Q. A number decreased by 7 is equal to 3. What is the number?
A.
8
B.
9
C.
10
D.
11
Solution
Let the number be x. The equation is x - 7 = 3. Adding 7 to both sides gives x = 10.
Q. A number is increased by 5 and then multiplied by 3. The result is 24. What is the number?
A.
1
B.
3
C.
5
D.
7
Solution
Let the number be x. The equation is 3(x + 5) = 24. Simplifying gives 3x + 15 = 24. Subtracting 15 from both sides gives 3x = 9. Dividing by 3 gives x = 3.
