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Jeopardy TEST REVIEW Unit 2 and 3 Percents #1 30% of what number is 115? Percents .30 ( x ) #1 115 = .30 .30 x = 383.3 Percents #2 My first marking period grade in Biology was a 74. My second marking period grade was a 90. Find the percent increase.(round to the nearest whole percent) Percents #2 change 16 = original 74 = .216 22% increase Percents #3 The sales tax in New York is 8.25%. If I purchase $137 worth of items at a store in the Palisades Mall, how much tax must I pay and what is the final cost of my purchase? Percents #3 $137 (1.0825) total cost = $148.30 tax = $11.30 Integer Word Problems #1 Find 3 consecutive odd integers whose sum is 225 Integer Word Problems #1 1st = n 2nd = n + 2 3n + 6 = 225 -6 -6 3n 219 = 3 3 n = 73 73, 75, 77 3rd = n + 4 Integer Word Problems #2 The sum of 3 integers is 41. The third integer is four more than the first integer. The second integer is three less than two times the first integer. Find the three integers. Integer Word Problems #2 1st = n 2nd = 2n -3 4n +1= 41 -1 -1 4n 40 = 4 4 n =10 1st = 10 2nd = 17 3rd = 14 3rd = n + 4 Integer Word Problems #3 The sum of the ages of Jim, Joe, and Jane is 39 years old. Jim is half as old as Joe and Jane is three years older than Jim. How old is each person? Integer Word Problems #3 Jim = 1 n 2 Joe = n Jane = 1 n +3 2 2n +3 = 39 -3 - 3 2n 36 = 2 2 n =18 Jim = 9 Joe = 18 Jane = 12 Inequalities #1 Solve the inequality below 3x -8 ³ 7x + 32 Inequalities 3x - 8 ³ 7x + 32 +8 +8 3x ³ 7x + 40 -7x - 7x -4x 40 ³ -4 -4 x £ -10 #1 Inequalities #2 Solve the inequality below 4 x - 2 < -11 3 Inequalities 4 x - 2 < -11 3 +2 +2 æ 3ö 4 æ3ö ç ÷ x < -9 ç ÷ è4ø 3 è4ø -27 x< 4 #2 Inequalities #3 Solve the inequality below -7 £ -3x + 2 <14 Inequalities -7 £ -3x + 2 < 14 -2 -2 -2 -9 -3x 12 £ < -3 -3 -3 3 ³ x > -4 #3 Absolute Value Equations x + 6 = -17 #1 Absolute Value Equations #1 x + 6 = -17 NO SOLUTION absolute value is a number 's positive dis tan ce from 0 which can never equal a negative number Absolute Value Equations #2 If x < 0 and y is a multiple of 3, what is x · y x +3 = 5 y - 4 =14 Absolute Value Equations x+3 = 5 #2 y - 4 = 14 x+3= 5 x + 3 = -5 y - 4 = 14 y - 4 = -14 x=2 x = -8 y = 18 y = -10 x = -8 and y = 18 x · y = -144 Absolute Value Equations Solve for x 4 x + 2 - 7 =13 #3 Absolute Value Equations 4 x + 2 - 7 = 13 +7 +7 4 x + 2 20 = 4 4 x+2 = 5 x+2 =5 x=3 x = -7 x + 2 = -5 #3 Absolute Value Inequalities #1 Solve and graph on a number line x -8 £13 Absolute Value Inequalities x - 8 £ 13 x - 8 £ 13 and +8 +8 x - 8 ³ -13 +8 +8 x £ 21 and x ³ -5 -5 21 #1 Absolute Value Inequalities Solve and graph on a number line x -10 ³ -20 #2 Absolute Value Inequalities #2 x -10 ³ -20 All real numbers : absolute value is a number 's positive dis tan ce from 0 which is always greater than a negative number -10 30 Absolute Value Inequalities Solve and graph on a number line -2x + 5 £ 39 #3 Absolute Value Inequalities -2x + 5 £ 39 -2x + 5 £ 39 and - 2x + 5 ³ -39 -5 -5 -5 -5 -2x -44 -2x 34 ³ and £ -2 -2 -2 -2 x ³ -17 and x £ 22 -17 22 #3 Random #1 Set A is the set multiples of 4 from 120 inclusive Set B is the set of factors of 28 Find Random #1 Random #2 ISOLATE THE ABSOLUTE VALUE INEQUALITY THEN SOLVE AND GRAPH -7 x +12 + 25 £11 Random -7 x +12 + 25 £ 11 #2 x +12 ³ 2 - 25 - 25 x +12 ³ 2 -7 x +12 -14 £ -7 -7 x +12 ³ 2 or x +12 £ -2 x ³ -10 or x £ -14 -14 -10 Random #3 The class average on a test is 82%. I would like to set up a meeting with any student who DID NOT score within 12 points of the class average. Write an absolute value inequality that describes this situation and solve Random #3 x - 82 ³ 12 x - 82 ³ 12 or x - 82 £ -12 x ³ 92 or x £ 70 70 92