math basic algebra work sheets 9 work sheets

Math 090 Week 12 TR GW

1. Solve the following. Please state real and complex solutions.

x2 + 3x + 2 = 0 5x2 = 11x − 2 p2 − 16 = 0

5z2 + 200 = 0 2x2 + 7 = 79

(x − 6)2 = 49 2(t + 6)2 + 18 = 0

(3x − 1)2 = 7 6(4p + 1)2 = 24

2. Solve the following by completing the square.

t2 + 2t = 1

m2 + 4m + 13 = 0

4z2 − z = 39

3. Galileo Galilei developed a formula for freely falling objects described by d = 16t2, where d is the distance in feet that an object falls (disregarding air resistance) in t seconds, regardless of weight.

The sculpture of American presidents at Mount Rushmore National Memorial is 500 ft above the valley floor. How long would it take a rock dropped from the top of the sculpture to fall to the ground?