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Math Study Guide 1

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Running head: MATH GUIDE Math guide Student Tutor Institution Date 2 MATH GUIDE Math Study Guide 1. Solve: A) 3x + 2y + 5z = 23 B) 2x + 4y + z = 0 C) 3x + 3y – z = 7 Take the last two equations b and c and add: B 2x + 4y + z = 0 C 3x + 3y – z = 7 BC 5x + 7y = 7 sum of equation B and C A 3x + 2y + 5z = 23 5C 15x + 15y - 5z = 35 AC 18x +17y + 0 = 58 -17BC -85x – 119y = -119 7AC 126x + 119y = 406 41x = 287 find x by diving both sides by 41 X=7 Substitute x=7 into BC 5(7) + 7y = 7 35 + 7y = 7 – 35 7y = -28 divide both side by 7 to find y y = -4 Substitute x=7 and y= -4 into C 3(7) + 3(-4) – z = 7 21 – 12 – z = 7 -z = -2 z=2 3 MATH GUIDE 2. An office supply store finds that if they charge $150 for a high end calculator, they will sell 40 calculators per week. If they lower the price to $120 they can sell 70 calculators per week. a. Write an equation describing the relationship between price and sales. You can assume the equation is linear b. How many calculators will be sold if the price is $130 Solution Let old price be x1 No of calculators sold by old price be y1 New price be x2 New no of calculators sold y2 x1=150; y1=40; x2=120; y2=70 m= (y2-y1)/(x2-x1) m= (70-40) / (120-150) m= -1 a) y – 40 = -1(x-150) y = -x + 150 + 40 y = -x + 190 in the form y=mx+c b) y = -(130) + 190 y= 60 3. Which of the following is equal to 811/4 Sln 811/4 = 4 81 = 3 4. Which of the following is equal to 3-2 Sln 3-2 = 1/32 = 1/9 4 MATH GUIDE 5. Which one i ...
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