30 Chapter 1 Real Numbers and Algebraic Expressions 2e. 47 - u9 - 4(5 - 3) u 47 - u9 - 4(2) u Simplify inside parentheses. 47 - u9 - 8u Multiply 4 and 2 in the absolute value. 47 - u1u Subtract the numbers in the absolute value. 47 - 1 Simplify the absolute value of 1. 4(6) Subtract the numbers in the brackets. 24 Multiply. Student Check 2 Use the order of operations to simplify each expression. a. 3 + 2(9) b. 8 · 3 ÷ 6 - 2 · 2 c. 1 5 (8 - 6)3 - 3 5 d. 4 + 182 - 4(7)(1) 2(7) e. 211 - 4u8 - 3(5 - 3)u Evaluating Algebraic Expressions We will now apply the order of operations to evaluating algebraic expressions. An algebraic expression is an expression that involves variables and/or numbers joined by arithmetic operations. Recall a variable is a letter or symbol that represents some unknown number. Examples of algebraic expressions are 2x 4y - 5 3x2 - 5x + 7 When we evaluate an algebraic expression, we assign a specific value for each of the variables and determine the value of the resulting expression. ���������������������� Evaluating an Algebraic Expression Step 1: Replace the variable(s) with the given number(s). Step 2: Use the order of operations to simplify the resulting expression. �� ������������������������ ������������������ Evaluate each expression for the given values. 3a. Find the value of 2x + 3 when x = 0, 1 2 , 1, and 2. 3b. Find the value of x - 1 x for x = 1, 1.5, 2, and 3. 3c. Find the value of b2 - 4ac when a = 3, b = 5, and c = 2. Solutions 3a. Since we are evaluating the same expression for more than one value, we can organize the information in a chart. x Value of 2 x + 3 0 2(0) + 3 = 0 + 3 = 3 Replace x with 0. 1 2a1 2 2 b + 3 = 1 + 3 = 4 Replace x with 1 2 . 1 2(1) + 3 = 2 + 3 = 5 Replace x with 1. 2 2(2) + 3 = 4 + 3 = 7 Replace x with 2. Objective 3 ▶ Evaluate algebraic expressions.
hendricks_beginning_algebra_1e_ch1_3
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