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Algebra Practice Question - 5 Video Lecture | Crash Course for GMAT

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FAQs on Algebra Practice Question - 5 Video Lecture - Crash Course for GMAT

1. How to solve algebraic equations with variables on both sides?
Ans. To solve algebraic equations with variables on both sides, first simplify each side of the equation by combining like terms. Then, move all the variables to one side of the equation and constants to the other side using addition or subtraction. Continue simplifying until you isolate the variable on one side.
2. What is the process for solving linear inequalities in algebra?
Ans. When solving linear inequalities in algebra, treat them like equations, but with one key difference. If you multiply or divide by a negative number, remember to flip the inequality sign. Solve for the variable to find the range of values that satisfy the inequality.
3. How to graph linear equations in two variables?
Ans. To graph linear equations in two variables, first convert the equation into slope-intercept form (y = mx + b). Identify the y-intercept (b) and use the slope (m) to find additional points on the line. Plot the points and connect them to draw the line representing the equation.
4. What are the different methods for solving systems of equations in algebra?
Ans. There are three common methods for solving systems of equations in algebra: graphing, substitution, and elimination. Graphing involves plotting both equations on the coordinate plane and finding the intersection point. Substitution involves solving one equation for a variable and substituting it into the other equation. Elimination involves adding or subtracting the equations to eliminate one variable.
5. How to factor quadratic expressions in algebra?
Ans. To factor quadratic expressions in algebra, look for common factors first. If there are none, use the AC method by finding two numbers that multiply to the product of the coefficient of x^2 term and the constant term, and add up to the coefficient of the x term. Use these numbers to factor the quadratic expression.
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