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Solving Algebraic Expressions with Variables Substituted

This tutorial provides a comprehensive guide to solving algebraic expressions by substituting specified values for variables. It defines key concepts such as expressions, equations, inequalities, terms, constants, and coefficients, followed by examples that illustrate the solving process. By using a "plug and chug" method, students will learn to evaluate complex expressions step-by-step. Engage with practice problems to reinforce understanding and gain confidence in handling algebraic operations involving variables, constants, and coefficients.

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Solving Algebraic Expressions with Variables Substituted

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  1. Notes Topic: Expressions Objective: To solve algebraic expressions when a value is given for the variables

  2. Definitions Expression: a mathematical statement Equation: a mathematical sentence that contains an equal sign Inequality: a mathematical sentence that contains a < or > sign

  3. Definitions Term: a number, variable or the product or quotient of a number and a variable Constant: a term without a variable

  4. Definitions Variable: a letter that represents an unknown number Coefficient: a number multiplied by a variable

  5. Vocab 3x – 6y + 18 + 30 How many terms? What are the variables? What are the coefficients? What are the constants?

  6. Vocab y+ 3x – 2 – k + 7 How many terms? What are the variables? What are the coefficients? What are the constants?

  7. Solving Expressions m = 7 and k =2 6m – 3k

  8. Plug and Chug • Solve the following if • x = 7 y = -3 and z = 9 • 1) 4z – 3y • 2) 7z – (y + x) • 3) 2x + (4z – 13) - 5

  9. Plug and Chug • Solve the following if • w = 4 x= 5and y = -1 • 1) -4 (wy + 3x) • 2) (w + x) ÷ ( w + y) • 3) y2- x3

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