 # Algebraic Expressions and the Order of Operations COURSE 3 LESSON 1-1 Evaluate the expression t + (12 – t ) ÷ 2 for t = 6. t + (12 – t ) ÷ 2 Substitute.

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Algebraic Expressions and the Order of Operations COURSE 3 LESSON 1-1 Evaluate the expression t + (12 – t ) ÷ 2 for t = 6. t + (12 – t ) ÷ 2 Substitute 6 for t. = 6 + (12 – 6) ÷ 2 Work within parentheses. = 6 + 6 ÷ 2 Divide. = 6 + 3 Add. = 9 1-1

Algebraic Expressions and the Order of Operations COURSE 3 LESSON 1-1 An Internet provider charges \$25 for a connection fee, and then \$16 per month. Write an expression to model the total cost and then evaluate the expression for 1 to 5 months of Internet access. Expression25+16 m Wordsconnection fee plus 16 times number of months Let m = the number of months. 1-1

Algebraic Expressions and the Order of Operations COURSE 3 LESSON 1-1 (continued) m 25 + 16m Total Cost 1 25 + 16(1) \$41 2 25 + 16(2) \$57 3 25 + 16(3) \$73 4 25 + 16(4) \$89 5 25 + 16(5) \$105 Evaluate the expression for each value of the variable. Use the values 1–5 for m. 1-1

Algebraic Expressions and the Order of Operations 1.Write an expression for the number of months in y years. 2.Evaluate your expression in Exercise 1 for 7 years. 3.Evaluate 5n – n ÷ 2 for n = 10. 4.Evaluate 3c – 5 for c = 2, 4, and 6. COURSE 3 LESSON 1-1 12y 84 months 45 1, 7, 13 1-1

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