1. a) -1/6 < -1/7 b) 1/9 > 0,11 c) 5/4 = 1,25 2. a) -5(-8-3+7) - (- (-3)) = -5 *(-4) -3 = 20 - 3 = 17 b) -4² - 2:7 * 1/7 = -16 - 2/7 * 1/7 = -16 - 2/49 = -16 ²/₄₉ c) 6/7 - 20/7 *(6/7 - 1,2)² = 6/7 - 20/7 *(6/7 - 6/5)² = 6/7 - 20/7 *(30/35 - 42/35)² = = 6/7 - 20/7 *(-12/35)² = 6/7 - 20/7 * 144/1225 = 6/7 - 4/7 * 144/245 = = 6/7 - 576/1715 = 1470/1715 - 576/1715 = 894/1715 [latex]3.\\frac{sqrt{18}-6sqrt{2}}{sqrt{2}} = frac{sqrt{9*2}-6sqrt{2}}{sqrt{2}} = frac{3sqrt{2}-6sqrt{2}}{sqrt{2}} = frac{sqrt{2}*(3-6)}{sqrt{2}} = -3[/latex] [latex]4.\\-3x-5=7x-2(3x-1)\\-3x-5=7x-6x+2\\-3x-5 = x+2\\-3x-x=2+5\\-4x = 7 /:(-4)\\x = -frac{7}{4}\\x = -1frac{3}{4}[/latex] [latex]5.\\20\% masy 40kg = 0,2*40kg = 8 kg\\10 zl x\% kwoty 250 zl to 4\% (x = frac{10}{250}*100\% = 4\%)\\30 m stanowi 15\% drogi o dlug. 200 m (x = frac{100\%}{15\%}*30 m = 200 m)[/latex]
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