California algebra 1: concepts, skills, and problem solving by McGraw-Hill

By McGraw-Hill

ContentsUnit 1 - Foundations for FunctionsUnit 2 - Linear FunctionsUnit three - Polynomials and Nonlinear FunctionsUnit four - complicated Expressions and knowledge AnalysisStandards evaluation

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Example text

Then name the property that is illustrated. (9 - 5) n 26. 1 = _ 2 3 1 27. n 5 2 · _ =3 ( 25 ) 1 28. 6 _ ·n =6 (2 ) Evaluate each expression. Name the property used in each step. 29. 3 + 5(4 - 2 2) - 1 Real-World Link Nationally organized football began in 1920 and originally included five teams. In 2005, there were 32 professional teams. com 2 30. 7 - 8(9 - 3 ) ⎡5 3 ⎤ 31. ⎢_ 1+_ · 17 ⎣8 8 ⎦ ( ) 32. FOOTBALL The table shows NFL Bonuses various bonus plans for the Goal Bonuses($) NFL in a recent year.

EXAMPLE Grouping Symbols Evaluate each expression. a. 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 Evaluate inside parentheses. Multiply expressions left to right. Add 10 and 21. b. 2[5 + (30 ÷ 6) 2] 2[5 + (30 ÷ 6) 2] = 2[5 + (5) 2] = 2[5 + 25] = 2[30] = 60 Grouping Symbols When more than one grouping symbol is used, start evaluating within the innermost grouping symbols. c. Evaluate innermost expression first. Evaluate power. Evaluate expression inside grouping symbols. Multiply.

35 + 17 + 5 + 3 4 4 Source: The Guinness Book of Records EXAMPLE Use Multiplication Properties Evaluate 8 · 2 · 3 · 5 using properties of numbers. Name the property used in each step. 8·2·3·5=8·3·2·5 Commutative (×) = (8 · 3) · (2 · 5) Associative (×) = 24 · 10 or 240 Multiply mentally. com Evaluate each expression using properties of numbers. Name the property used in each step. 5 2A. 9 · 4 · 10 2B. _ · 25 · 3 · 2 3 Simplify Expressions The Commutative and Associative Properties can be used with other properties when evaluating and simplifying expressions.

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