|
|
|
|
|
|
||||||||||
|
|
||||||||||||||
UNIT 3 : QUADRATIC FUNCTIONS & EQUATIONS
LESSON
9: CHAPTER TEST
CHAPTER TEST
1. Solve by factoring.
a) 2x2 –5x – 12 = 0 b) 3x2 = 8 – 10 x
2. a) Solve by completing the square: 2x2 + 8x – 5 = 0
b) Without solving, determine the number of roots of the equation 2x2
– 3x +7 = 0.
3. Solve using the quadratic formula where 
. Express answers in
simplest form.
a) 5x2 – 8x + 1 = 0 b) 2x2 – 6x + 11 = 0
4. Find the maximum or minimum value of the
quadratic functions given below.
a) f(x) = 15 + 4x – 2x2 b) f(x) = -3x2 + 9x -7
5. Simplify.
6. Simplify.
7. Last month Zack’s sold running shoes at $120
per pair. At this price they sold 160 pairs
of shoes. A marketing research survey
shows that for each $10 price increase, sales will drop by 6 pairs per month.
a) Determine the selling price that will
maximize revenue and state the maximum revenue at this price.
b) If the wholesale price of the shoes to
Miller is $60.00, find the selling price that will maximize profits.
8. A picture 20 cm wide by 10 cm high is to be
surrounded by a mat of uniform width.
If the area of the mat is to be twice the area of the picture, find the
width of the mat.
x
9. A farmer wants to fence a rectangular field
and then divide it in half by placing a fence down the middle. Find the dimensions of the field which would
maximize the area if he has 600 m of fence available.
11. For what values of k does the
function f(x) = 4x2 – kx + 1 have two distinct zeros?