Math

Math 012: Week 1 Homework: Spring 2019

NOTE: I modified this homework as we did not review Absolute Value Inequalities this evening. This is the final version that you are to complete for Week 1 homework.

1. Solve 4 > 2x – 3 > 5

2. Solve 2x + 3 < 16

3. Solve 2x – 3 > 5

4. 2𝑥𝑥−7 8

+ 𝑥𝑥 = 2𝑥𝑥+7 2

+ 2

5. 7(4x + 5) = -5 + 8(8x-4)

6. | x – 21.5 | > 2.5

7. A bus traveling at an average rate of 50 kilometers per hour made the trip to town in 6 hours. If it had traveled at 45 kilometers per hour, how many more minutes would it have taken to make the trip?

8. The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles down the river in the same amount of time it takes to travel 9 miles up the river. What is the speed of the boat in still water?

9. Solve for H: v = p/3(c + H)

10. Becky would like to have at least $250,000 saved for her daughter’s college education. If she invests $80,000 in an education account paying 7.15% interest compounded quarterly, will she reach her goal in 18 years? Show all work to justify your answer and include appropriate units.