slide r

Slide R - 1 Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Prentice Hall

Active Learning Lecture SlidesFor use with Classroom Response Systems

© 2009 Pearson Education, Inc.All rights reserved.

Chapter RReview


Let U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7} and C = {1, 4, 9}, find

a. {1, 2, 3, 4, 5, 9}

b. {1, 2, 3, 5}

c. {1, 2, 3}

d. {2, 3, 5}

A B C.


List all the elements of B that belong to the set of rational numbers.

a.

b.

c.

d.

B 15, 8, 19,0,0

1, 9,0.62, 8 ,0.999...

15, 19,0,0

1, 9,0.62,0.999...

15, 19,0,0

1,0.62

15, 19,0,0

1,0.62,0.999...

15, 19,0,0

1, 9,0.62, 8 ,0.999...


Evaluate.

a.

c.

47

4

67

4

23

4b.

d.

1

2 10

1

4

7

95

8


Use the distributive property to remove parentheses.

(x – 6)(x – 2)

a.

c.

x2 8x 12x2 12x 8

x2 9x 12 x2 8x 8

b.

d.


Which statement expresses z is less than or equal to 7?

a. z < 7

b. z ≤ 7

c. z > 7

d. z ≥ 7


Evaluate

a. 2

b. 1

c. 0

d. –1

when x = 4 and y = –5 x

x

y

y


Express the statement as an equation using the indicated variables.The area A of a triangle is one-half the product of its base b and its height h.

a.

b.

c.

d.

A 1

2b h

A 1

2bh

A 2bh

A bh


Determine which value(s), if any, must be excluded from the domain of the variable expression.

a.

b.

c.

d.

x 4

x 5

9

x 2

x 2, x 2

9x 5

x2 4


Simplify the expression. Express the answer so that all exponents are positive.

a.

c.

10 10

8

25

64

y z

x

25z10

64x8 y10

64x8

25y10z10

25y10

64x8z10

8x4 y 5

5z5

2

b.

d.


Evaluate

a.

b.

c.

d. 3

2

5

1

x2 y2 when x = 2 and y = –1.


The lengths of the sides of a right triangle are 15, 36, 39. Determine if it is a right triangle. If it is, identify the hypotenuse.

a. right triangle; 39

b. right triangle; 36

c. right triangle; 15

d. not a right triangle


Find the area A and circumference C of a circle of diameter 16 mi. Use 3.14 for π. Round the result to the nearest tenth.

a. A = 100.5 mi2; C = 25.1 mi

b. A = 50.2 mi2; C = 50.2 mi

c. A = 803.8 mi2; C = 25.1 mi

d. A = 201 mi2; C = 50.2 mi


Find the area of the shaded region. Express the answer in terms of π.

a. 4π – 4 square units

b. 4π – 16 square units

c. 16 square units

d. 8π – 16 square units

4

4


A flagpole casts a shadow of 28 feet. Nearby, a 10-foot tree casts a shadow of 5 feet. What is the height of the flagpole?

a. 14 ft

b. 56 ft

c. 1.8 ft

d. 1400 ft


Add.

a.

b.

c.

d.

11x2 13x 15 26x 15

11x2 13x 30

11x2 39x

11x2 39x 30

50x3


Subtract.

a.

b.

c.

d.

3 3x3 x2 1 9 7x3 5x 2

72x3 3x2 45x 21

72x3 x2 45x 21

72x3 3x2 45x 21

72x3 3x2 45x 21


Multiply.

a.

b.

c.

d.

3y 11 5y2 2y 8

15y3 49y2 46y 88

70y2 28y 112

15y3 6y2 24y 11

15y3 61y2 46y 88


Multiply.

a.

b.

c.

d.

9x 1 9x 1

81x2 1

81x2 18x 1

x2 1

81x2 18x 1


Multiply.

a.

b.

c.

d.

8x 5 2

64x2 25

64x2 80x 25

8x2 80x 25

8x2 25


Divide.

a.

b.

c.

d.

x4 81 divided by x 3

x3 3x2 9x 27; remainder 81





Divide.

a.

b.

c.

d.

x4 81 divided by x 3






Multiply.

a.

b.

c.

d.

4x 11y 2x 12y

8x2 22xy 132y2

8x2 48xy 132y2

8x2 70xy 132y2

8x2 70xy 70y2


Factor.

a.

b.

c.

d.

64x2 49

8x 7 2

8x 7 2

64x 1 x 49

8x 7 8x 7


Factor.

a.

b.

c.

d.

1000x3 343

10x 7 100x2 70x 49

1000x 7 x2 70x 49

10x 7 100x2 49

10x 7 100x2 70x 49


Factor.

a.

b.

c.

d.

64 125x3

4 5x 16 20x 25x2

64 5x 1 20x 25x2

4 5x 16 25x2

4 5x2 16 20x 25x2


Factor.

a.

b.

c.

d. prime

212 84 147x x

3 2x 7 2

3 2x 7 2x 7

3 2x 7 2


Factor.

a.

b.

c.

d.

28 12 8 27x x

x 17 x 11

x2 8x 9 x2 8x 3

x 1 x 5

x2 8x 9 x2 8x 3


Factor.

a.

b.

c.

d.

18x2 15xy 24xy 20y2

3x 4 6x 5

3x 4y 6x 5y

3x 4y 6x 5y

18x 4y x 5y


Factor.

a.

b.

c.

d. Prime

15z2 11z 12

3z 4 5z 3

3z 4 5z 3

15z 4 z 3


Use synthetic division to find the quotient and the remainder.

a.

b.

c.

d.

x5 x3 2 is divided by x 3

x4 3x3 9x2 26x 782; r: 232

x4 2x2; r: 8

x4 2; r: 8

x4 3x3 10x2 30x 90; r: 268


Reduce the rational expression to lowest terms.

a.

c.

3x2 17x 10

3x2 16x 5

x 2

x 1

3x 5

3x 5

3x 2

3x 1

x 3

x 2

b.

d.


Divide.

a.

c.

x2 12x 27

x2 14x 45

x2 3x

x2 12x 35

x 7

x 7

x x 5

x 7

x

x

x 5 x 9

b.

d.


Add.

a.

c.

x 4

x2 5x 24

4x 5

x2 10x 16

5x 9

2x2 15x 8

5x2 19x 7

x 8 x 3 x 2

5x2 19x 7

x 8 x 3 x 2

5x 9

b.

d.


Simplify.

a.

c.

1314 x

14

x 145x

9

x 14

x

14x 70

x

14x 70

27x

14x 70

27x

14x 70

b.

d.


Simplify. Assume all variables are positive.

a.

b.

c.

d.

1000x4 y53

3xy xy23

10xy xy3

10xy xy23

10xy xy2


Rationalize the denominator.

a.

c.

11 6 2

7

1

11 6 2

7

7 6 2

11

b.

d.

3 2

3 2


Simplify.

a.

c.

81

625

625

81

625

81b.

d. Not a real number

125

27

4 3


Simplify. Express the answer so that only positive exponents occur. Assume that all variables are positive.

a.

b.

c.

d.

25x6 y4 1 2

5x3y

x3y2

5x3y2

5x6 y2

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