GMAT Exam > GMAT Videos > Quantitative for GMAT > Algebra Practice Question - 3
Algebra Practice Question - 3 Video Lecture | Quantitative for GMAT
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FAQs on Algebra Practice Question - 3 Video Lecture - Quantitative for GMAT
| 1. What are the basic operations in algebra? |  |
Ans. The basic operations in algebra are addition, subtraction, multiplication, and division. These operations are used to manipulate and solve equations.
| 2. How can I simplify algebraic expressions? | |
Ans. To simplify algebraic expressions, you can combine like terms, apply the distributive property, and use properties of exponents. By simplifying an expression, you make it easier to work with and understand.
| 3. What is the quadratic formula and how is it used? | |
Ans. The quadratic formula is used to find the solutions of a quadratic equation. It is written as x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients of the quadratic equation ax² + bx + c = 0. By substituting the values of a, b, and c into the formula, you can find the values of x that satisfy the equation.
| 4. How do I solve systems of equations in algebra? | |
Ans. There are several methods to solve systems of equations in algebra, such as substitution, elimination, and graphing. Substitution involves solving one equation for one variable and substituting it into the other equation. Elimination involves adding or subtracting equations to eliminate one variable, allowing you to solve for the remaining variable. Graphing involves plotting the equations on a coordinate plane and finding the intersection point(s) as the solution(s) to the system.
| 5. What are linear inequalities and how do I solve them? | |
Ans. Linear inequalities are similar to linear equations, but instead of an equal sign, they use inequality symbols such as <, >, ≤, or ≥. To solve linear inequalities, you manipulate them using the same rules as equations, with one exception - when you multiply or divide both sides of the inequality by a negative number, you must reverse the direction of the inequality. The solution to a linear inequality is a range of values that satisfy the inequality.
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