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The Search for X

This guide explores the foundational concepts of algebra, emphasizing the role of variables in solving equations. Learn how letters or symbols represent unknown numbers, termed as variables, and specifically the variable X. Understand coefficients, constants, and like terms, and how to simplify expressions by combining them. We dive into the essence of equations—mathematical statements marked by an equal sign—and the process of ensuring they are balanced. Finally, discover how to find the value of the variable that satisfies the equation, enabling you to master algebraic solutions.

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The Search for X

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Presentation Transcript

  1. The Search for X X

  2. Solving Equations • Algebra uses letters or symbols to represent unknown numbers. • This is called a variable. • We are going to be finding this unknown variable. • We are going to call this unknown variable X.

  3. 7x + 4x - 6 A coefficient is a number that multiplies a variable A constant is a term that has no variable Like terms have identical variables A term is a number or the product of a number and variable This diagram shows the possible parts of a variable expression

  4. Simplifying • You can simplify a variable expression by replacing it with the an expression that has as few terms as possible. 7x + 4x - 6 Combine like terms 11x - 6

  5. Variables and Equations • An equation is a mathematical sentence with an equal sign. • An open sentence is an equation with one or more variables. 2 + 2 = 4 X + 2 = 4

  6. Equations must be balanced -like a scale.

  7. Finding the value of the variable • A solution is a value for the variable that makes an equation true. 2 + x = 4 -2 -2 x = 2 In other words- Get x by itself, Matey’s!!

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