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Algebra I – Quadratic (x2) EQUATION Final Exam Review Solve each equation. 1) (3n + 2) (n – 2) = 0 2) 16y2 – 8y = 0 ANSWERS: 1) ìï 2 üï í2, - ý ïî 3 ïþ 3) 2 x = x + 110 4) 2 8n + 4 = 12n 2) {0, 1/2} 3) {11, -10} 4) ìï 1 üï í1, ý îï 2 þï 5) 36x2 + 49 = 84x 6) 4y2 + 16y + 7 = 0 ì7ü ï 5) ï í ý ï î6ï þ ì ü 6) ïí- 1 , - 7 ïý îï 2 2 þï 7) ìï 5 üï 7) 2 49w – 25 = 0 8) 3 5d – 80d = 0 í± ý ïî 7 ïþ 8) {0, -4, 4} Algebra I – Word Problem Final Exam Review Chapter 7 1) One number added to twice another number is 23. Four times the first number added to twice the other number is 38. Find the two numbers. a. Answer: 5 & 9 2) A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in one van paid $77 for the Grand Tour. Two adults and seven students in a second van paid $95 for the same tour. Find the adult and student price of the tour. a. Answer: Adults - $16 and Students - $9 3) Eric has 130 coins consisting of nickels and quarters. The coins combined value comes to $15.90. Find out how many of each coin Eric has. a. Answer: 83 Nickels and 47 Quarters Chapter 8 4) The speed of light is 3 x 108 meters/second. If the sun is 1.5x 1011 meters from earth, how many seconds does it take light to reach the earth. Express your answer in scientific notation a. Answer: 0.5 x 103 5 x 102 5) a) Write an expression to represent the perimeter of the rectangle. (Express your answer as a polynomial in simplest form!) b) Write an expression to represent the area of the Rectangle. (Express your answer as a polynomial in simplest form!) Answer: a) 10x + 10 b) 5x2 + 17x – 14 Chapter 9 6) The area of a rectangle is x2 + 10x – 56. Find the length and width. a. Answer: length is (x + 14) and width is (x – 4) 7) Find two consecutive even integers whose product is 168. a. Answer: 12 and 14 or -14 and -12 8) An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. When will the object reach the ground? (h = -16t2 + vt + s) a. Answer: 5 seconds (-1 is not possible) Chapter 11 9) Find the area and perimeter of a square whose sides measure 4 + 3 6 . a. Answer: P = 16 +12 6 A = 70 + 24 6