1.5x + 27 = 23.4

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## 1.5x + 27 = 23.4

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**1800Review for formulating and solving equations.Show all**your work and keep track of your score!**1.5x +27= 23.4**1.5x = -3.6 x = -2.4 -27 -27 1.5 1.5**12 – 5( x +3 ) = 97**12 – 5x -15 = 97 -5x -3 =97 -5x = 100 x = -20 +3 +3 -5 -5**⅔ (6w + 5) = 10⅓ - w**4w + 3⅓ = 10⅓ - w 5w + 3⅓ = 10⅓ 5w = 7 w = 1.4 or 1⅖ +w +w -3⅓ -3⅓ 5 5**There are 45 mallards on a pond. This is 3 more than 6**times the number of gadwalls. How many gadwalls are on the pond?**Let g = the number of gadwalls**45 = 6g + 3 42 = 6g 7 = g g = 7 -3 -3 6 6**There are five 12.5 pound bags of sunflower seeds. This is**20½ pounds more than the 3 bags of birdseed. How much does each bag of birdseed weigh?**Let B = the weight of each bag of birdseed**5(12.5) = 3B + 20½ 62.5 = 3B + 20.5 42 = 3B 14 = B B = 14 - 20.5 - 20.5 3 3**The average weight of a male trumpeter swan is 27.9 pounds.**This is 2.1 pounds less than twenty times the average weight of a male cinnamon teal. What is the average weight of a male cinnamon teal?**Let w = the average weight of a male cinnamon teal**27.9 = 20w – 2.1 30 = 20w 1.5 = w The average weight of a male cinnamon teal is 1.5 lbs. +2.1 + 2.1 20 20**The length of the rectangle is 10 more than the width. Find**the width if the perimeter is 72.8 feet. P = 72.8 ft**Let W = the width of the rectangle**P = 2L + 2W 72.8 = 2(W+10) +2W 72.8 = 2W +20 +2W 72.8 = 4W+20 52.8 = 4W 13.2 = W -20 -20 4 4**If the area of the triangle is 195 ft², what is the value**of x? 6 feet 3x+5 feet**A = ½ b h**195 = ½ · (3x+5) · 6 195 = ½ · 6 (3x+5) 195 = 3 (3x+5) 195 = 9x + 15 180 = 9x 20 = x -15 -15 9 9**The sum of the interior angles of a quadrilateral is 360º.**The opposite angles of a parallelogram are congruent. Find the measure of the obtuse angles. 1.5x + 12 x + 18**2(1.5x+12) + 2(x+18) = 360**3x + 24 + 2x + 36 = 360 5x + 60 = 360 5x = 300 x = 60 The obtuse angles measure 1.5 (60) + 12 = 102º -60 - 60 5 5