MS 100 College Algebra Quest* Two · Name:
Note that there are problems on BOTH sides of this paper
Problems one to three: Solve by completing the square, if the solutions involve imaginary numbers, then write the solution(s) as a complex number.
1. x² + 66x + 1073 = 0
2. − 10x² − 340x + 350 = 0
3. x² − 8x + 41 = 0
4. The distance in meters that an object falls can be calculated from the formula distance = 0.5*acceleration of gravity*t²
where t is the time in seconds.
If a bolt is dropped off of the top of an 34 meter tall crane, how long until the bolt hits the ground? Note that the acceleration of gravity is 9.8 meters/second² and the distance is the 34 meters crane height.
5. Multiply (7 − 4i)(7 + 4i)
6. Solve for x:
7. Solve for x:
8. Solve and sketch answer on a number line: - 4x - 7 ≤ 13
9. Solve and sketch answer on a number line: | x + 5| ≤ 17
Quest = Quiz-Test blend