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Sept. 1, 2011 Lori Simonelli Text: Prentice Hall Mathematics, “Algebra 2” Chapter 1 Tools of Algebra Section 1-2 Algebraic Expressions Objective 1: Students will be able to evaluate algebraic expressions. Objective 2: Students will be able to simplify algebraic expressions. Standard: 2.1.11.A, 2.2.11.A, 2.8.11.D Essential questions: What is the difference between simplify and evaluate? What is the basic procedure to solving for an unknown variable? Warm-up: Page Pssa Momentum Motivation/Readiness: Evaluate the expression for x = 3, x = -1 -x2 - 2(x + 1) Review the following terms: variable: a symbol, usually a letter, that represents one or more numbers. Examples: Algebraic/variable expressions: contains one or more variables. Evaluate: Substituting a number for a variable and follow order of operations. Term: a number, a variable, or the product of both. Coefficient: the numerical factor of a term. Like terms: contain the same variables with the same exponent. Simplify: Combine all like terms and reduce any fractions. Order of Operations: 1 Ex 1. Evaluating the Algebraic Expression for x = 4 and y = -2 (hint: put parenthesis around any negative values) c. x + 2x ÷ y - 2y b. 3x - 4y + x - y a. x + y ÷ x Ex 2. Evaluating an Algebraic Expression with Exponents For c = -3 and d = 5 2 2 a. c - d b. c(3 - d) - c2 c. -d2 - 4(d - 2c) Ex 4. Combining like terms b. 5z2 - 10z - 8z2 + z a. 3k - k d. 2x2 + 5x - 4x2 + x - x2 c. -(m - n) + 2(m - 3n) e. -2(r + s) - (2r + 2s) f. y(1 + y) - 3y2 - (y + 1) 2