Test Bank Complete_ Algebra And Trigonometry, 12th Edition, (2024) By Michael Sullivan| All Chapters 1-14| Latest Version With Verified Answers| Grade A+

Test Bank Complete_
Algebra And Trigonometry, 12th Edition, (2024)
By Michael Sullivan
All Chapters 1-14| Latest Version With Verified Answers| Grade A+




From: [Bestmaxsolutions.stuvia

,TABLE OF CONTENTS
R. Review
Chapter 1. Equations and Inequalities
Chapter 2. Graphs
Chapter 3. Functions and Their Graphs
Chapter 4. Linear and Quadratic Functions
Chapter 5. Polynomial and Rational Functions
Chapter 6. Exponential and Logarithmic Functions
Chapter 7. Trigonometric Functions
Chapter 8. Analytic Trigonometry
Chapter 9. Applications of Trigonometric Functions
Chapter 10. Polar Coordinates; Vectors
Chapter 11. Analytic Geometry
Chapter 12. Systems of Equations and Inequalities
Chapter 13. Sequences; Induction; the Binomial Theorem
Chapter 14. Counting and Probability

,R. Review
Exam

Name



MULTIPLE CHOICE. Choose The One Alternative That Best Completes The Statement Or Answers The Question.

Tell Whether The Expression Is A Monomial. If It Is, Name The Variable(S) And Coefficient, And Give The Degree Of
The Monomial.
1) 5x2 y5 1) A)
A ) Monomial; Variables X, Y; Coefficient 5; Degree 2
B) Monomial; Variables X, Y; Coefficient 5; Degree 7
C) Monomial; Variables X, Y; Coefficient 5; Degree 5
D) Not A Monomial


Evaluate The Expression.
5 4
2) - 2)
7 6
1 1 1 2
A) B) C) D)
21 7 42 7




Factor The Polynomial By Removing The Common Monomial Factor.
3) 3x2 - 9x 3) A)
3x(X + 3) B) 3(X2 - 3x) C) 3x(X - 3) D) 3x 2 (X - 3)


Reduce The Rational Expression To Lowest Terms.
3x2 - 27x + 54
4) 4)
X-6
1 3x2 - 27x + 54
A) B) 3x - 9 C) 3x 2 - 36 D) X-
X-6 6



List All The Elements Of B That Belong To The Given Set.
5 8
5) B = {17, 8, -19, 0, , - , 3.3, 25Δ, 0.258258258...} 5)
8 5
Integers
A) {17, -19} B) {17, 0} C) {17, -19, 0} D) {17, 0, 8}


Factor The Polynomial By Grouping.
6) 10x 2 + 15x - 8x - 12 6) A)
(10x - 4)(X + 3) B) (5x - 4)(2x + 3) C) (5x + 4)(2x - 3) D) (10x + 4)(X - 3)


Perform The Indicated Operations And Simplify The Result. Leave The Answer In Factored Form.
7) 7)
1
1-
X
1
8+
X

8x + 1 X-1 X+1 X-1
A) B) C) D)
X-1 8x + 1 8x - 1 8x

1

,2

, 8) 8)
2
4+
X
X 1
+
3 6

X 12
A) B) 12 C) 1 D) X
12



Multiply The Polynomials Using The Special Product Formulas. Express The Answer As A Single Polynomial In Standard
Form.
9) (3x + 4y)(3x - 4y) 9)
2
A) 9x + 24xy - 16y2 2
B) 9x - 24xy - 16y2
C) 9x 2 - 16y2 D) 6x 2 - 8y2


Perform The Indicated Operations And Simplify The Result. Leave The Answer In Factored Form.
1 11
10) + 10)
3x 12x
5 15 4
A) B) 1 C) D)
4x 24x 5x



Perform The Indicated Operations. Express The Answer As A Single Polynomial In Standard Form.
11) -2x(-5x - 4) 11)
A) -5x 2 + 8x B) 10x 2 + 8x C) 10x2 - 4x D) 18x2


Tell Whether The Expression Is A Polynomial. If It Is, Give Its Degree.
4
12) 6x 2 - 12)
X
A) Polynomial; Degree 2 B) Polynomial; Degree 1
C) Polynomial; Degree -1 D) Not A Polynomial



Simplify The Expression. Assume That All Variables Are Positive When They Appear.
13) (5 11 + 4)2 13) A)
259 + 40 11 B) 291 + 40 11 C) 279 + 40 11 D) 291 - 40 11


Simplify The Expression. Express The Answer So That All Exponents Are Positive. Whenever An Exponent Is 0 Or Negative, We
Assume That The Base Is Not 0.
X -2 y2 14)
14)
Xy7

Y5 1 1 X
A) B) C) D)
X3 X 3 y5 Xy5 Y5



Factor Completely. If The Polynomial Cannot Be Factored, Say It Is Prime.
15) 4x 2 - 24x - 16x + 96 15) A)
4(X + 6)(X + 4) B) (X - 6)(4x - 16) C) 4(X - 6)(X - 4) D) (X - 6)(X - 4)


3

,Use 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} To Find The Set.
16) B 16) A)
{0, 1, 4, 6, 7, 8, 9} B) {1, 4, 6, 8, 9}
C) {0, 1, 4, 6, 9} D) {0, 1, 4, 6, 8, 9}


Use Synthetic Division To Determine Whether X - C Is A Factor Of The Given Polynomial.
17) 4x 3 - 27x 2 + 8x + 60; X + 4 17) A)
Yes B) No


Add Or Subtract As Indicated. Express The Answer As A Single Polynomial In Standard Form.
18) (X2 + 1) - (4x 2 + 7) + (X2 + X - 8) 18) A) -
2x 2 + 8x - 7 B) -4x 2 + X - 14 C) -3x 2 + X - 14 D) -2x 2 + X - 14


Graph The Numbers On The Real Number Line.
19) X > -3 19)




A)



B)



C)



D)




Use 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} To Find The Set.
20) A 1 B 20) A)
{0, 4, 6, 9} B) {1, 2, 3, 5, 7, 8} C) {1, 4, 6, 8, 9} D) {4, 6, 9}


Solve.
(6,666)4
21) What Is The Value Of ? 21)
(3,333)4
A) 16 B) 48 C) (2,222)4 D) (3,333)4




4

, Perform The Indicated Operations And Simplify The Result. Leave The Answer In Factored Form.
22) 22)
10 11
+
11 - X X - 11

7 4
+
X X - 11

21x X 21x X
A) - B) - C) D)
11x - 77 11x - 77 11x - 77 11x - 77



23) 23)
X 2 - 81
X
X-9
X-7

(X - 9)(X2 - 9) X (X + 9)(X - 7)
A) (X + 9)(X - 7) B) C) D)
X(X - 7) (X + 9)(X - 7) X



Evaluate The Expression Using The Given Values.
6x - 7y
24) X = 10, Y = 6 24)
X+3

34 18 34
A) B) 2 C) D)
13 13 9



Perform The Indicated Operations. Express The Answer As A Single Polynomial In Standard Form.
25) 6x 6 (3x5 + 2x 4 - 6) 25)
A) 18x 11 + 2x4 - 6 B) 18x 5 + 12x 4 - 36
C) 18x 11 + 12x 10 D) 18x 11 + 12x 10 - 36x6


List All The Elements Of B That Belong To The Given Set.
0
26) B = 19, 5, -8, 0, , 0.2 26)
3



Irrational Numbers
0 0
A) 5, B) { 5} C) 5, , 0.2 D) { 5, 0.2}
3 3




Add Or Subtract As Indicated. Express The Answer As A Single Polynomial In Standard Form.
27) (2x 2 + 13x - 10) - (7x 2 + 16x + 4) 27) A) -
5x 2 + 20x - 6 B) -5x 2 - 3x - 14 C) -5x 2 - 3x + 14 D) -5x 2 - 3x - 6


Reduce The Rational Expression To Lowest Terms.
10x2 + 30x3
28) 28)
9x + 27x2
5