Question

1. Write a quadratic equation in the variable x having the given numbers as solutions. Write the equation in standard form ax^2+bx+c=0   Solution: 6, only solution

2. Jack usually mows his lawn in 6 hours. Marilyn can mow the same lawn in 5 hours. How much time would it take for them to mow the lawn together.

3. Use rational exponents to write x^1/3 * y^1/7 *z^1/6

4. Find the following. Assume the variable can represent any real number.
sqrt(a+9)^2

5. If the side of a square are lengthened by 8cm, the area becomes 196cm^2. Find the length of a side of the original square.

6. Find a polynomial for the perimeter and for the area.

One side is d+3 the other side is d
     

7. If a pro basketball player has a vertical leap of about 30 inches, what is his hang time? Use the hang time function V=48t^2
His hang time is ____ seconds.

8. Simplify by removing factors of 1.
p^2-9/(p+3)^2

9. Television sets. What does it mean to refer to a 20-in tv set or a 25-in tv set? Such units refer to the diagonal of the screen. A 30-in tv set also has a width of 24 inches. What is its height in inches?

10. Rewrite with a rational exponent.
^3sqrt20

11. In a right triangle, find the length of the side not given.

the diagonal side is sqrt 17 one side is a   the other side is 1



12. Find all numbers for which the rational expression is undefined.
m^3-8m/m^2-4

13. Find the following
^12sqrt(-9)^12

14. Convert to decimal notation.
8.68 X 10^7

15. Find the variation constant and an equation of variation where y varies directly as x and y=40 when x=10.
The variation constant is k=______
The equation of variation is y=________
16. For the following equation, state the value of the discriminant and then describe the nature of the solutions.
18x^2+5x+11=0

17. Divide.
(28b^3+27b^2+22b+46) / (4b+5)