Fishing Essay

343 WordsMar 15, 20132 Pages
Math 101 – Test 2 Review 1) Roots and radicals * The radical symbol indicates positive roots 9=3 (but not -3, even though (-3)2 = 9) * Can get negative answers with odd roots: 3-8=-2 (since (-2)3 = 8) * Can take multiple roots of any amount: 57776=6 ( (6)5 = 7776) * Simplifying roots: 45=9×5=9×5 =35 * Look for perfect squares, used multiplication property to reduce * For multiple roots, look for powers of the root. * E.g. 42500=4625×4=454×4=454×44=5∙44 * On calculator, for 42500: 4 [2nd Fn] [yx] 2500, [=], 7.071067812... Simplify and find to 3 decimal places, if necessary: a) 420,736 b) 216 c) 396 2) Algebraic Expressions: add/subtract/multiply/divide a) 4a – [3(2a–4) +2{a–3(b+2)}] + 8b÷4 b) -3z3(4z)(-x2)4 c) (2a2b3)2(3ab2)36a4b2(c2)5 d) x-3y2y+3x-3x(y-2x) e) 3a4b2-12a2b4+15a3b33ab f) 4a+b-2xa+b2a+b g) 3x3-7x2+2x+13x-1 (long division) h) 8x3-14x+32x+3 3) Per Cents: Answer to 2 decimal places if required. a) If 56% of a city’s eligible voters do vote and there are 301,205 eligible voters, how many voters were cast? b) If the city has a population of 356,785, what per cent of the city’s population can vote? c) The next year, the number of voters increased by 8.5%. How many voters was there the following year? d) The population of the city actually decreased by 2.75%. What’s the population the following year? e) In the following year, what per cent of the city is eligible to vote? Answers: 1. a) 12 b) 66 c) 2312 2. a) -4a + 8b + 24 b) -108z4x8 c) 18a3b102c10 d) 9x2 – 6y2 – 10xy e) a3b + 4ab3 + 5a2b2 f) 2 – x g) x2-2x+ 13x-1 h) 4x2-6x+ 2-32x+3 3. a) 168,675 b) 188,110/356,785 = 52.72% c) 183,012 d) 346,973 e) 183,012 / 346,973 =