Math 103- Intermediate Algebra
Dr. Effat Rady
Chapter 10
4/25/2006
(Form 1)
Show all your work for full credit
Use Pencil only. Use your own papers. Closed book and notes. Calculator
is allowed. Write your name on each paper. After you finish staple the
test with your papers.
Solve all problems algebraically. Keep all your answers exact
1) 5 x ( x  3)  2 x ( x  2)  6
2) 4 x 2  49  0
3)
4)
5)
4 x  10  x 2
( x  1) 2  9
2 x 2  3x 1  9
Solve by completing the square
6)
x 2  4 x  45  0
7)
Write a quadratic equation having solutions 3 and 
8
3
8) For the function f ( x )  3x 2  6 x  2
Answer the following algebraically without graphing then graph the function.
(a) Find the vertex algebraically.
(b) What is the axis of symmetry
(c) Find the x-intercepts
(d) Find the y-intercepts.
(e) Find the maximum or the minimum function value.
(f) Graph the function
9) Solve A  r 2  rs for r.
10) Write an equation for a function having a graph with the same shape as the graph
3
of f ( x )  x 2 but with the point (-2,-5) as the vertex.
5
11) Given the following graph of f ( x )  ax 2  bx  c
5
4
3
2
1
0
-5 -4 -3 -2 -1-1 0
-2
-3
-4
-5
1
2
3
4
5
(a) State the number of real-number solutions of ax 2  bx  c  0
(b) State whether a is positive or negative?
(c) Determine the maximum function value of f.
12) A landscaper wants to enclose a rectangular garden, using the side of the house as
one side of the rectangle. What is the maximum area that the landscaper can
enclose with 36 feet of fence, and what should the dimensions of the garden be in
order to yield this area?
13) Solve x 2  2 x  24
14) Solve x 
36
0
x