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Review Problems: Week 1: Due Friday, 4/27/07 1) A jar of change has $74.65 in it. There are 4 nickels less than twice the amount of dimes and 3 quarters more than triple the amount of dimes. How many nickels, dimes, and quarters are in the jar? 2) Solve graphically and check: 24x – 12y = 84 y – 2 = -3(x + 3) 3) Solve using the quadratic formula: 6x2 – 1 = 3x 4) Factor: a) x2 – 5x – 66 b) x2 – 196 c) x2 – 15x + 54 d) 3x2 + 21x + 36 6) Solve algebraically and check: 6x – 5y = 33 7x + 4y = -50 7) Graph the system of inequalities: 13x – 39y > 78 x>4 8) 3|2x - 4| + 15 = -9 -11 a) x2 + 5x – 84 9) Factor: b) x2 – 36 c) x2 + 18x + 72 d) 5x2 + 45x – 50 Week 3: Due Friday, 5/4/07 Solve the system of equations graphically and check: 1) 24x + 8y = 32 y + 7 = ⅓(x + 3) 2) A 35-minute phone call cost $4.95. Introductory minutes cost $.16/min and additional minutes are $.11/min. How many minutes were billed at each rate? 3) x + 7 x–5 4) = 2x + 5 x–2 x2 – 15x +54 . x2 – 5x – 36 ÷ x2 – 13x + 42 . x2 – 3x – 28 Week 4: Due Friday, 5/11/07 1) Solve algebraically and check: y = 3x + 11 6x + 5y = 13 2) Find 4 consecutive integers such that 5 times the 2nd is 285 more than the sum of the 3rd and the 4th. 3) Solve using the quadratic formula: 2x2 – 5x = 7 4) Factor: a) x2 – x – 552 b) 4x2 – 81 c) x2 – 13x + 42 d) 2x2 + 18x + 36 Week 5 Due Friday, 5/25/07: 1) Solve graphically and check: y + 3 = (-3/2)(x + 2) 3x – 12y = -96 2) There are 170 coins in a jar. Some of them are quarters and some of them are nickels. If there is $16.30 in the jar, how many of each coin are there? 8x2 + 3x – 5 3) Factor: Case II 4) 3|7x + 14| - 2 5 = 29 5) Solve algebraically and check: 5x – 12y = -8 7x + 8y = -98 6) Find 5 consecutive odd integers such that 3 times the 1st is 87 more than the sum of the 3rd and the 4th. 7) Graph the system of inequalities: 64x – 32y > 32 y < -5 8) Factor: a) x2 + x - 72 b) 64x2 – 49 c) x2 + 19x + 88 d) 6x2 - 6x + 180 Week 6 Due Friday, 6/1/07: 1) Solve the system graphically and check: 21x + 7y = 49 13x – 26y = 182 2) Put find the equation of each line in slope intercept form and graph (all 3 lines on 1 set of axis). a) (3,5) (-6, -1) b) (2,5) (2,-5) c) (-4,7) (2,7) 3) A jar of change has $90.15 in it. There are 6 less dimes than twice the nickels. There are 3 more quarters than 4 times the amount of nickels. How many nickels, dimes, and quarters are in the jar? (There are no pennies.) 4) Factor: a) x2 -3x - 54 b) 25x2 – 100 c) x2 + 25x + 144 d) x2 + 13x – 14 5) Solve the system algebraically and check: x = 4y – 3 7x – 9y = 55 6) Graph the inequality: 30x – 45y < 135 7) x + 10 x–5 = 2x + 4 x–2 8) Find 4 consecutive odd integers such that the quadruple the 2nd is 116 less than the sum of the 3rd and 4th. Week 7: Due Friday, 6/8/07 1) Solve the system of equations graphically and check: 21x + 7y = 49 13x – 26y = 182 2) Solve the system algebraically and check: 11x – 4y = -43 9x + 6y = -114 3) 3|7x + 21| - 1 = 67 2 4) A snack stand at Yankee Stadium sells sodas for $4.25 and hot dogs for $5.50. During one game the stand sold 26 more hot dogs than twice the amount of sodas. If the total sales for sodas and hot dogs was $2,920.50; how many of each item were sold?