Chapter 6_ Sample Exam
Please answer all the questions and show work where appropriate.
1. Factor: yxyxx 9362 2−−+
2. Factor: 9256 2−+ xx
3. Factor: 12826−x
4. Solve: )35(2)3( 2xx −=−
5. Solve: 03003 2=+− x
6. Given 592)( 2−−= xxxf
a. Calculate )0(f.
b. Find all values of x for which 0)(
=
xf .
7. Find a quadratic equation with integer coefficients that has },3{ 3
2
−
as a solution
set.
8. The product of two consecutive odd positive integers is eleven less than 10 times
the larger. Find the integers.
9. The length of a rectangle is 6 cm longer than twice its width. If the area is 140
cm2, find the dimensions of the rectangle.
10. The cost of a particular car can be approximated by the function
000,30000,5250)( 2+−= xxxC where x is the age
of the car in years.
a. Use the graph to determine the cost of the car
when it was new?
b. How old will the car be when it reaches its
minimum cost?
c. How much is this car worth when it reaches
5 years old?
