Practice Final (Math 101).docx - Math 101 Practice Final(Chapters 2 8 1 Graph the inequality 2 x \u22123 y>5 2 Solve for x 3 Solve |25 x 1|=|1\u2212x| 1 1 x

Practice Final (Math 101).docx - Math 101 Practice...

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Math 101 Practice Final (Chapters 2 - 8) 1. Graph the inequality 2 x 3 y > 5 . 2. Solve for x : | 2 5 x + 1 | = | 1 x | 3. Solve. 1 7 ( x + 5 )> 1 5 ( x + 1 ) 4. Find the slope, if possible, of the line passing through (2, -5) and (-3, 4). 5. A pharmacology student was assigned a task of mixing two solutions, one of 15% strength and the other of 2% strength. How many milliliters (to the nearest 100 th ) of each solution should be mixed in order to reach 200 milliliters of a 10% strength solution overall? 6. Graph the line x = -4. 7. Write the standard form of the equation of the line which passes through ( 2,5 ) and is perpendicular to y =− 3 x + 6. 8. Consider an airline route between two cities that are 1200 miles apart. The trip against the jet stream (sustained northwesterly wind) requires 3 hours. The return trip (going with the jet stream) takes 2.5 hours. What is the speed of the plane in still air (in other words how fast is the plane flying if there is no wind at all)? What is the speed of the jet stream? 9. Find the slope and the y -intercept for the linear equation 3 x – 4 y = -8.
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