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Linear Equation Word Problem Video Lecture | The Complete SAT Course - Class 10

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FAQs on Linear Equation Word Problem Video Lecture - The Complete SAT Course - Class 10

1. What is a linear equation?
Ans. A linear equation is an algebraic equation in which the highest exponent of the variable is 1. It represents a straight line on a graph and can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.
2. How do you solve a linear equation?
Ans. To solve a linear equation, isolate the variable on one side of the equation by performing inverse operations. Start by simplifying both sides of the equation, then apply operations such as addition, subtraction, multiplication, and division to eliminate constants and coefficients until the variable is isolated.
3. Can a linear equation have more than one solution?
Ans. Yes, a linear equation can have one solution, infinitely many solutions, or no solution at all. The number of solutions depends on the relationship between the coefficients and constants in the equation. For example, if the equation represents two parallel lines, it will have no solution.
4. How can linear equations be used in real-life situations?
Ans. Linear equations can be used to model and solve various real-life situations. For example, they can be used to calculate the cost of a phone plan based on the number of minutes used, determine the rate of change in a population over time, or find the optimal production level to maximize profit in a business.
5. What is the importance of linear equations in the SAT exam?
Ans. Linear equations are an essential topic in algebra, and understanding them is crucial for success in the SAT exam. Questions related to linear equations often appear in both the math and problem-solving sections of the exam. Mastering linear equations allows students to solve a wide range of word problems and demonstrate their algebraic reasoning skills.
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