Algebra II Workbook - Wayne County Public Schools

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LESSON 1.5 CONTINUED EXAMPLE 2 NAME _________________________________________________________ DATE ____________ Practice with Examples For use with pages 33–40 Guess, Check, and Revise Compact discs cost $16.99 each and cassette tapes cost $8.99 each. If the total bill equaled $78.93, how many of each were bought? SOLUTION Verbal Model Algebraic Model Total bill Price per CD 78.93 16.99c 8.99t Number of CDs Price per tape Guess different values for c and t. Substitute these values into the equation until you get both sides equal. The number of CDs was 2, 16.99 2 33.98, and the number of tapes was 5, 8.99 5 44.95, for a total bill of $33.98 $44.95 $78.93. Number of tapes Chapter 1 Exercises for Example 2 3. A farmer has 64 yards of fencing and wants to create a rectangular enclosure for his animals. What is the enclosure with the greatest area? 4. A cylindrical swimming pool 5 feet in depth needs approximately 2292 gallons of water to be full. To the nearest tenth, what is the radius of the pool? Copyright © McDougal Littell Inc. All rights reserved. Algebra 2 15 Practice Workbook with Examples
LESSON 1.6 Practice with Examples For use with pages 41–47 NAME _________________________________________________________ DATE ____________ GOAL Solve simple inequalities and compound inequalities VOCABULARY Chapter 1 Inequalities such as x ≤ 1 and 2n 3 > 9 are examples of linear inequalities in one variable. A solution of an inequality in one variable is a value of the variable that makes the inequality true. A compound inequality is two simple inequalities joined by “and” or “or.” The graph of an inequality in one variable consists of all points on a real number line that corresponds to solutions of the inequality. EXAMPLE 1 Solving an Inequality with a Variable on One Side Solve 3 2x ≥ 5. Then graph the solution. SOLUTION 3 2x ≥ 5 2x ≥ 2 x ≤ 1 3 2 1 0 1 2 Write original inequality. To isolate 2x, subtract 3 from each side. Divide each side by 2 and reverse the inequality. Graph the solution. Exercises for Example 1 Solve the inequality. Then graph your solution. 1. 4x ≤ 4 2. 3x ≥ 6 3. 2x > 6 4. x 1 < 1 5. 6 ≤ 3x 3 6. 5 > 2x 13 16 Algebra 2 Practice Workbook with Examples Copyright © McDougal Littell Inc. All rights reserved.
Page 1 and 2: Algebra 2 LARSON BOSWELL KANOLD STI
Page 3 and 4: Contents Chapter Title 1 Equations
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Algebra II Workbook - Wayne County Public Schools

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