Introductory Algebra
Pre-Test Questions
Course Introduction
Introductory Algebra is designed to provide students with foundational mathematical skills necessary for success in higher-level mathematics courses. Emphasizing concepts such as operations with real numbers, solving linear equations and inequalities, graphing, and working with polynomials and factoring, the course develops problem-solving abilities and critical thinking. Through practical applications and collaborative learning, students gain confidence in algebraic reasoning and prepare for further studies in mathematics and related fields.
Recommended Textbook
College Algebra with Applications for Business and Life Sciences 2nd Edition by Ron Larson
Available Study Resources on Quizplus
8 Chapters
787 Verified Questions
787 Flashcards
Source URL: https://quizplus.com/study-set/3697
Page 2
Chapter 1: Fundamental Concepts of Algebra
Available Study Resources on Quizplus for this Chatper
119 Verified Questions
119 Flashcards
Source URL: https://quizplus.com/quiz/73587
Sample Questions
Q1) Write the polynomial in standard form.
9 + 7x<sup>2</sup> + 8x
Answer: 7x<sup>2</sup> + 8x + 9
Q2) Factor the sum or difference of cubes. 27n<sup>3</sup> + 8
A) (3n - 2)<sup>3</sup>
B) (3n + 2)<sup>3</sup>
C) (3n + 2)(9n<sup>2</sup> - 6n + 4)
D) (3n + 2)(9n<sup>2</sup> + 6n + 4)
E) (3n - 2)(9n<sup>2</sup> - 6n + 4)
Answer: C
Q3) Factor the trinomial. u<sup>2</sup> - 8u + 12
A) u(u - 8) + 12
B) u(u + 4)
C) (u + 2)(u - 6)
D) (u - 2)(u - 6)
E) (u + 2)(u + 6)
Answer: D
To view all questions and flashcards with answers, click on the resource link above. Page 3
Chapter 1: Equations and Inequalities
Available Study Resources on Quizplus for this Chatper
94 Verified Questions
94 Flashcards
Source URL: https://quizplus.com/quiz/73588
Sample Questions
Q1) One number is 1 more than another number.The sum of their squares is 41.Find the numbers.
A) 4, 5 or -5, -4
B) 3, 4 or -4, -3
C) 9, 10 or -10, -9
D) 2, 3 or -3, -2
E) 7, 8 or -8, -7
Answer: A
Q2) You accept a new job with a starting salary of $56,000.You receive a 4.9% raise at the start of your second year, a 7.4% raise at the start of your third year, and a 8% raise at the start of your fourth year.Find your salary for the fourth year.
A) $68,138.34
B) $66,854.44
C) $67,881.56
D) $68,651.90
E) $69,422.24
Answer: A
To view all questions and flashcards with answers, click on the resource link above. Page 4
Chapter 2: Functions and Graphs
Available Study Resources on Quizplus for this Chatper
97 Verified Questions
97 Flashcards
Source URL: https://quizplus.com/quiz/73589
Sample Questions
Q1) Find (f + g)(x). f (x) = -2x<sup>2</sup> - x - 7
G(x) = -x<sup>2</sup> - 4x + 7
A) ( f + g)(x) = -x<sup>4</sup> + 3x<sup>2</sup> - 14
B) ( f + g)(x) = -3x<sup>4</sup> - 5x<sup>2</sup>
C) ( f + g)(x) = -x<sup>2</sup> + 3x - 14
D) ( f + g)(x) = -3x<sup>2</sup> - 5x
E) ( f + g)(x) = 3x<sup>2</sup> + 5x
Answer: D
Q2) Determine whether lines L<sub>1</sub> and L<sub>2</sub> passing through the pairs of points are parallel, perpendicular, or neither. L<sub>1 </sub>: (-5, -5), (4, 6)
L<sub>2 </sub>: (-9, 8), (-18, -3)
A) parallel
B) perpendicular
C) neither
Answer: A
To view all questions and flashcards with answers, click on the resource link above. Page 5
Chapter 3: Polynomial and Rational Functions
Available Study Resources on Quizplus for this Chatper
105 Verified Questions
105 Flashcards
Source URL: https://quizplus.com/quiz/73590
Sample Questions
Q1) A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.
A) 5 feet × 18 feet
B) 30 feet × 45 feet
C) 30 feet × 32 feet
D) 30 feet × 43 feet
E) 30 feet × 40 feet
To view all questions and flashcards with answers, click on the resource link above.
Chapter 4: Exponential and Logarithmic Functions
Available Study Resources on Quizplus for this Chatper
92 Verified Questions
92 Flashcards
Source URL: https://quizplus.com/quiz/73591
Sample Questions
Q1) What is the half-life of a radioactive substance if 2.9 g decays to 1.80 g in 64 hours? Round to the nearest tenth of an hour.
A) 93.0 hours
B) 69.8 hours
C) 46.5 hours
D) 23.3 hours
E) 13.8 hours
Q2) How long will it take $10,000 to quadruple if it is invested in a savings account that pays 5.5% annual interest compounded continuously? Round to the nearest year.
A) 25 years
B) 20 years
C) 19 years
D) 32 years
E) 30 years
To view all questions and flashcards with answers, click on the resource link above. Page 7
Chapter 5: Systems of Equations and Inequalities
Available Study Resources on Quizplus for this Chatper
94 Verified Questions
94 Flashcards
Source URL: https://quizplus.com/quiz/73592
Sample Questions
Q1) A company has budgeted a maximum of $1,200,000 for national advertising an allergy medication.Each minute of television time costs $120,000 and each one-page newspaper ad costs $60,000.Each television ad is expected to be viewed by 24 million viewers, and each newspaper ad is expected to be seen by 7 million readers.What is the optimal amount that should be spent on advertising for each type ad?
A) $1,200,000 on television time and $0 on newspaper ads
B) $1,000,000 on television time and $200,000 on newspaper ads
C) $500,000 on television time and $700,000 on newspaper ads
D) $600,000 on television time and $600,000 on newspaper ads
E) $900,000 on television time and $300,000 on newspaper ads
Q2) A total of $50,000 is invested in two funds paying 6.5% and 7.5% simple interest.The total yearly interest is $3600.How much is invested at the 6.5% rate?
A) $28,000
B) $12,000
C) $26,000
D) $15,000
E) $20,000
To view all questions and flashcards with answers, click on the resource link above. Page 8
Chapter 6: Matrices and Determinants
Available Study Resources on Quizplus for this Chatper
94 Verified Questions
94 Flashcards
Source URL: https://quizplus.com/quiz/73593
Sample Questions
Q1) A city zoo borrowed $2,000,000 at simple annual interest to construct a breeding facility.Some of the money was borrowed at 9%, some at 11%, and some at 14%.Use a system of equations to determine how much was borrowed at 9% if the total annual interest was $216,000 and the amount borrowed at 9% was twice the amount borrowed at 14%.Solve the system using matrices.
A) $400,000 was borrowed at 9%
B) $800,000 was borrowed at 9%
C) $300,000 was borrowed at 9%
D) $1,600,000 was borrowed at 9%
E) $1,700,000 was borrowed at 9%
To view all questions and flashcards with answers, click on the resource link above.
9
Chapter 7: Sequences, Series, and Probability
Available Study Resources on Quizplus for this Chatper
92 Verified Questions
92 Flashcards
Source URL: https://quizplus.com/quiz/73594
Sample Questions
Q1) Consider a job offer with a starting salary of $37,700 and a given annual raise of $2325.Determine the total compensation from the company through three full years of employment.
A) $366,700
B) $312,725
C) $77,725
D) $423,000
E) $120,075
Q2) You are given the probability that an event will happen.Find the probability that the event will not happen. P(E) = 0.79
A) 0.79
B) 0.21
C) 0.105
D) 0
E) 1
To view all questions and flashcards with answers, click on the resource link above. Page 10