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Checking for Understanding Solve 1 1 1 1) x x 3 4 6 2) 2(a 3) 11 15 n2 3) 21 7 n 4) 2 7 4 5 1) x 8 Answer 2)2( a 3) 11 15 2a 6 11 15 2a 5 15 2a 10 a5 n2 3) 21 7 n 2 21 n 19 n 4) 2 7 4 n 9 4 n 36 Take out your Agenda! Pg. 45 #13-35(odds) Take YOUR Whiteboard OUT 2(3x 1) 5 ( x 3) 6x 2 5 x 3 6x 2 x 2 7x 2 2 7x 4 4 x 7 2 1 5 x 2x 3 4 6 1 5 2 12 x 2 x 4 6 3 2 1 5 (12) x (12) (12)2 x (12) 3 4 6 8 x 3 24 x 10 13 16 x 13 x 16 4 x 9 y 30; x 3 30 4 x 4 x 30 y or y 9 9 y2 y 2 x 11; x 4 y 2 x 11 y 19 1 4 x y 19; x 6 2 5 5 x 8 y 190 5 x 190 y 8 y 20 6 x 5 y 44 0; x 4 6 x 44 y 5 y 4 x 3 y 55; x 20 x 55 55 x y or y 3 3 35 y 3 9 y 4 x 16 0; x 8 4 x 16 y 9 16 y 9 xy 3x 25; x 5 3 x 25 y x 3 x 25 y x x y 2 25 y 3 x 1 2 Volume of a cone. Solve for h: V r h 3 3V h 2 r 9 Celsius to Fahrenheit. Solve for C: F C 32 5 5 C ( F 32) 9 1 Area of a Trapezoid. Solve for b 2 : A b1 b2 h 2 2A b2 b1 h Put YOUR Whiteboard Aside Take Out Your Notebook Pg # Ch 1.4 and 1.5 Rewriting Equation Date: 9/16/10 And word problems The formula for the area of a circle is A= r 2 . The formula for the circumference of a circle is C 2 r. Write a formula for the area of a circle in terms of its circumference. pg 33 ex1 The Bullet Train runs between the Japanese cities of Osaka and Fukuoka, a distance of 550km. When it makes no stops, it takes 2 hrs and 15 mins. to make the trip. What is the average speed of the Bullet Train? pg 34 ex3 You own a lawn care business. You want to know how much money you spend on gasoline to travel out-of-town clients. In a typical week you drive 600 miles and use 40 gallons. Gasoline costs $1.25 per gal, and your truck's fuel efficieny is 21 miles per gal on the highway and 13 miles per gal in town. Ticket Out the Door 4 x 7 y 7 0; x 7 Take notes - Linear Inequalities 5 x 1 x 17 4 x 1 17 4 x 16 x4 5x 1 x 17 Linear Inequalities 3(2 x 4) 7 x 8 We Practice 5 x 3 2(3 x) 5x 20 2x 1 5x 3 6 2 x 3 x 20 1 3x 3 6 3 x 21 3x 9 x3 x7 Name of Symbol Greater Less than Greater or equal to Less than or equal to To Graph: • Symbol: • Name: x 3 x is greater than 3 • Number line: To Graph: • Symbol: • Name: 5 y 5 is less than or equal to y • Number line: We Graph: • Symbol: • Name: 3 x 3 is less than to x • Number line: We Practice 4 x 2 2(3 x) 4x 2 6 2x 2x 2 6 2x 8 x4 You Do it x 1 5x 19 1 4 x 19 20 4 x 5 x Review! 5(m 3) 2m 27 2(r 4) 5(r 7) 5m 15 2m 27 7m 15 27 7m 42 m6 2r 8 5r 35 8 3r 35 27 3r r 9 Graphing- Find all the solution set x7 t 5 4 x 6r We Practice 4 x 2 2(3 x) 4x 2 6 2x 2x 2 6 2x 8 x4 You Do it x 1 5x 19 1 4 x 19 20 4 x 5 x You Do it 5( x 4) 2 x 1 5 x 20 2 x 1 3x 20 1 3x 21 x7 You Do it 5 x 3 2(3 x) 5x 3 6 2 x 3x 3 6 3x 9 x3 3.1 Graphing Inequalities Name Per Date:10/8/09 Name of Symbol How do you graph inequalities? Greater Less than Greater or equal to Less than or equal to To Graph: • Symbol: • Name: x 3 x is greater than 3 • Number line: To Graph: • Symbol: 5 y • Name: y is greater than or equal to 5 • Number line: We Graph: • Symbol: 3 x • Name: x is less than 3 • Number line: We Graph: • Symbol: y 3 • Name: y is greater than or equal to -3 • Number line: Take YOUR Whiteboard OUT You Practice to Graph: • Symbol: • Name: y5 y is less than 5 • Number line: You Practice to Graph: • Symbol: • Name: 4n n is less than 4 • Number line: You Practice to Graph: • Symbol: • Name: 6 m m is greater than or equal to -6 • Number line: Put YOUR Whiteboard ASIDE How do you check solution? 6 x a.6 b. 8 c.0 d. 2 We do it together How do you check solution? 2 n 1 5 a. 4 b. 2 c. 3 d .2 Take YOUR Whiteboard OUT Is each number a solution of the given inequalities n 1 3 a. 2 No b.5 Yes No c.4 Is each number a solution of the given inequalities n(n 2) n 2 a. 3 No b.4 No c. 2 No Put YOUR Whiteboard AWAY Take YOUR Whiteboard OUT x 4 8 x (8) 4(8) 8 x 32 3 9 d 4 3 4 4 9 d 4 3 3 12 d d 12 (6 x 2) 0 6 x 2 0 6 x 2 2 x 6 1 x 3 Solve the compound inequality n 5 2 or -3n 1 10 3n 1 10 n5 2 n 3 3n 9 n3 Solve the compound inequality 2 y 3 1 or 5 y 4 5 y 4 2 y 3 1 y 1 2y 2 y 1 y 1 Put YOUR Whiteboard ASIDE Take Out Your Notebook 3.5 Compound Inequalities Review Name Per Date:10/16/09 Compound Inequality Join by AND a. All real numbers that are at least -3 and at most 6 Think w/ Ms.Dang • The crowd that heard the President Obama speak was estimated to be 10,000 people. The actual crowd could be 750 more or less than this. What are the possible value for the actual crowd? Move Next to Your Partner Take Out Your Whiteboard All real numbers that are at least -2 and at most 4 Orange County’s temperatures will be above 81 F but not as high as 100 F A tropical storm has wind speeds of at least 40 mi/h but no more than 74 mi/h Put Your Whiteboard ASIDE Think w/ Ms.Dang Solve 116 3x3r3 8 7 5 4 6 Think w/ Your Partner Solve 2 3x 7 4 Move Next to Your Partner Take Out Your Whiteboard Solve 16 4 x 24 16 4 x 24 4 x 6 Solve 3 2 x 1 7 3 2 x 1 7 2 2 x 8 1 x 4 Solve 5 x 5 x (3) 2 2(3) 2 2 3 3 6 5 x 6 11 x 1 11 x 1 Solve 14 17 a 12 16 3 14 17 a (3)12 16(3) 3 36 14 17 a 48 36 31 a 48 5 a 17 Solve the compound inequality 2n 1 1 or 2n 1 1 2n 1 1 2n 1 1 2n 2 2n 0 n 1 n0 Solve the compound inequality 3 j 6 or 3 j 6 3j 6 j2 3j 6 j2 Solve the compound inequality 2k 3 3 or 2k 3 3 2k 3 3 2k 6 2k 3 3 2k 0 k2 k 0 5 x 2 4( x 1) 5x 2 4 x 4 x2 4 x6 3( x 7) 21 3x 21 21 3x 0 x0 2( x 2) 4 2 x 4 4 2 x 0 x0 3n 6 5(n 2) 3n 6 5n 10 8n 6 10 8n 16 n 2 5 x 2 4( x 1) 5x 2 4 x 4 x2 4 x6 3(3x 1) 5 x 5(5 x ) 1 9 x 3 5 x 25 5 x 1 14 x 3 5 x 24 9 x 3 24 9 x 27 x3 Put YOUR Whiteboard AWAY 3.5 Compound Inequalities “AND” Name Per Date:10/15/09 Compound Inequality Join by AND a. All real numbers that are at least -2 and at most 4 Think w/ Ms.Dang • All real numbers greater than -2 but less than 9 Move Next to Your Partner Take Out Your Whiteboard All real numbers that are at least 2 and at most 9 Today’s tempertures will be above 32 F but not as high as 40 F The book were priced between $3.50 and $6.00, inclusive Put Your Whiteboard ASIDE Think w/ Ms.Dang Solve 14 3rx51 1 5 2 4 Think w/ Ms.Dang Solve 7 3n 1 13 Move Next to Your Partner Take Out Your Whiteboard Solve 6 3x 15 3x 15 6 3x 2 x 2 x 5 x 5 x 2 Solve 3 2 x 1 7 3 2 x 1 2x 1 7 2 2 x 2 x 8 1 x 4 1 x x4 x 1 Solve the compound inequality 2n 1 1 or 2n 1 1 2n 1 1 2n 1 1 2n 2 2n 0 n 1 n0 Solve the compound inequality 3 j 6 or 3 j 6 3j 6 j2 3j 6 j2 Solve the compound inequality 2k 3 3 or 2k 3 3 2k 3 3 2k 6 2k 3 3 2k 0 k2 k 0 5 x 2 4( x 1) 5x 2 4 x 4 x2 4 x6 3( x 7) 21 3x 21 21 3x 0 x0 2( x 2) 4 2 x 4 4 2 x 0 x0 3n 6 5(n 2) 3n 6 5n 10 8n 6 10 8n 16 n 2 5 x 2 4( x 1) 5x 2 4 x 4 x2 4 x6 3(3x 1) 5 x 5(5 x ) 1 9 x 3 5 x 25 5 x 1 14 x 3 5 x 24 9 x 3 24 9 x 27 x3 Put YOUR Whiteboard AWAY