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1) 8(6x – 7) . 5 + 40 = 0 2) 2(8x - 5) + 2 . -6 = -12 3) 7(6x – 4) < 4(3x – 7) 4) (15x – 8) – (19x + 8) < -14 5) -13 < 3x - 13 < -1 6) 20 – 3x > 26 6x – 11 > 13 Put into slope intercept form: DO NOT GRAPH 7) (-3, 6)(4, -8) 8) (3, 5)(-6, -1) 10) m = - ¾ (-8, 7) 11) m = 2 (5, 6) 13) y - 5 = ¼(x - 4) 14) 48x - 12y = 72 9) (4, -6)(-4, -6) 12) 24x + 36y = 144 15) y + 2 = (-3/5)(x - 10) Solve each system graphically: Graph both lines and find the point of intersection. CHECK! 16) 15x + 15y = 75 17) y = 5 y + 6 = (3/2)(x + 4) x=-4 Solve the system of inequalities graphically: Graph, test 2 1 above and 1 below, SHADE! 18) 24x – 8y > 16 19) y + 6 > -1(x – 6) y<-3 12x – 12y < 12 Parallel Lines: 20) a) Find the equation of the line formed by (-8, 5)(4, 2) and graph: b) Find the equation of the parallel to the line found in part (a) that passes through (-8, -3) and graph: Let/Solve/Check: 21) The difference of 2 numbers is 49. The smaller number is 9 less than ½ the larger number. Find both numbers. 22) Find 5 even consecutive integers such that the sum of the 2nd and 4th is 188. 23) Find 5 odd negative consecutive integers such that the product of the 2nd and 4th is 621. 24) A 54-minute phone call cost $7.08. Introductory minutes cost $.18/min and additional minutes are $.12/min. How many minutes were billed at each rate? 25) A jar of change has $141.15 in it. There are 2 nickels less than 3 times the amount of dimes and 5 quarters more than 6 times the amount of dimes. How many nickels, dimes, and quarters are in the jar? (There are no pennies.) 26) The store sells crewneck sweatshirts for $31. Hooded sweatshirts cost $37. The store sold 7 less hooded sweatshirts than triple the crewneck and sales were $12,663. How many of each were sold? 27) Two planes leave the airport at the 11:40 pm. One is traveling east at a speed of 378 mph. The other is traveling west at 465 mph. At what time will they be 2,276.1 miles apart? Systems Algebraically: 28) x = 4- 3y 30) Benny and Bart went into Mickey D’s for some Snack Wraps and 7x + 10y = -27 sodas. Benny bought 5 Snack Wraps and 3 sodas and his bill was $12.82. Bart bought 4 Snack Wraps and and 5 sodas for $14.91. 29) 4x + 3y = -6 Find the price of each item. 10x – 7y = 43 (Page 2 of the Quarter Exam Review will be online) Monomials: 31) (4x15y8z5 )2 (2x6y4z-2)5 32) (7x7y4z3)2(4x-5y3z)3 34) 5x(4x2 – 8x + 3) + 4x(5x2 + 10x – 7) Multiply: 36) (x – 3)(x – 6) 39) (5x – 4)3 42) (2x - 5)2 33) (8x12y6z3)2 _ (2x4y2z)6 35) 8x2(7x2 – 3x – 12) – 6x(4x2 – 16x – 3) 37) (5x – 7)(2x – 9) 40) (2x2 - 3x + 7)(6x - 7) 43) (2x – 5)3 38) (3x – 7)2 41) (2x – 5)(2x + 5) 44) (7x2–6x+3)(5x2 + 4) Factor with GCF: (One step, you don’t have to factor after the GCF) 45) 32x5 + 80x4 – 64x3 46) 15a9b3c4 – 10a2b5c7 47) 9x4 + 6x3 – 33x2 + 18x State why each quadratic is prime: 48) x2 + 81 49) x2 – x + 72 50) x2 + 13x - 40