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What is a Linear Equation in One Variable? Video Lecture | Mathematics for ACT
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FAQs on What is a Linear Equation in One Variable? Video Lecture - Mathematics for ACT
| 1. What is a linear equation in one variable? |  |
Ans. A linear equation in one variable is an algebraic equation that represents a straight line when plotted on a graph. It consists of terms with a variable raised to the power of one, and the coefficients of these terms are real numbers.
| 2. How do you solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. This is done by performing the same operation to both sides of the equation, such as adding or subtracting terms, multiplying or dividing by a constant, or applying the distributive property.
| 3. Can a linear equation in one variable have multiple solutions? | |
Ans. Yes, a linear equation in one variable can have multiple solutions. If the equation simplifies to a true statement, such as 2 = 2, it means that any value of the variable will satisfy the equation. In this case, the equation has infinitely many solutions.
| 4. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are important in various fields, such as physics, economics, and engineering. They help in solving problems involving relationships between variables, determining unknown quantities, and making predictions based on given information. They also serve as a foundation for understanding more complex equations and mathematical concepts.
| 5. How can linear equations in one variable be represented graphically? | |
Ans. Linear equations in one variable can be represented graphically by plotting the equation on a coordinate plane. Since these equations represent straight lines, the graph will be a straight line as well. The slope of the line represents the coefficient of the variable, and the y-intercept represents the constant term in the equation. By analyzing the graph, one can determine the solutions to the equation and understand the relationship between the variable and the constant term.
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