Intermediate Algebra (11th edition)

566 CHAPTER 9 Quadratic Equations, Inequalities, and Functions

62. 63. 64.

65. 66.

67.Concept Check Match each equation in parts (a) – (f ) with the figure that most closely

resembles its graph in choices A– F.

(a) (b) (c)

(d) (e) (f )

A. B. C.

D. E. F.

68.Graph. Give the vertex, axis, domain, and range.

69.In 4 hr, Rajeed Carriman can go 15 mi upriver and come back. The rate of the current

is 5 mph. Find the rate of the boat in still water.

70.Two pieces of a large wooden puzzle fit together to form a rectangle with length 1 cm

less than twice the width. The diagonal, where the two pieces meet, is 2.5 cm in length.

Find the length and width of the rectangle.

ƒ 1 x 2 = 4 x^2 + 4 x- 2

G 1 x 2 = 1 x+ 122 H 1 x 2 = 1 x- 122 + 1 K 1 x 2 = 1 x+ 122 + 1

g 1 x 2 =x^2 - 5 h 1 x 2 =-x^2 + 4 F 1 x 2 = 1 x- 122

1 x^2 - 2 x 22 = 111 x^2 - 2 x 2 - 24 1 r- 1212 r+ 321 r+ 6260

6 +

15

s^2

=-

19

s

- 2

x+ 5

x^4 - 8 x^2 =- 1 ...- 5

x

y

0

x

y

0

x

y

0

x

y

0

x

y

0

x

y

0

Solve each equation by using the square root property or completing the square.

Solve by using the quadratic formula.

4. *5. 6.

*7.Concept Check If kis a negative number, then which one of the following equations

will have two nonreal complex solutions?

A. B. C. D.

8.What is the discriminant for? How many and what type of solutions

does this equation have? (Do not actually solve.)

2 x^2 - 8 x- 3 = 0

x^2 = 4 k x^2 =- 4 k 1 x+ 222 =-k x^2 +k= 0

3 x=

B

9 x+ 2

2

2 x^2 - 3 x- 1 = 0 3 t^2 - 4 t=- 5

t^2 = 54 17 x+ 322 = 25 x^2 + 2 x= 4

TEST

CHAPTER 9

View the complete solutions to
all Chapter Test exercises on
the Video Resources on DVD.

Step-by-step test solutions are found on the Chapter Test Prep Videos

available via the Video Resources on DVD, in , or on

(search “LialIntermediateAlg”).

CHAPTER

VIDEOS

*This exercise requires knowledge of complex numbers.