Mid-Term Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Fill in the blank with one of the words or phrases listed below.
distributive real reciprocals absolute value opposite associative
inequality commutative whole algebraic expression exponent variable
1) The of a number is the distance between the number and 0 on the number line.
A) opposite B) whole
C) absolute value D) exponent
1)
Find an equation of the line. Write the equation using function notation.
2) Through (1, -3); perpendicular to f(x) = -4x - 3
A) f(x) =
1
4
x -
13
4
B) f(x) = -
1
4
x -
13
4
C) f(x) = -4x -
13
4
D) f(x) = 4x -
13
4
2)
Multiply or divide as indicated.
3)
60
-5
A) -22 B) 12 C) - 1
12
D) -12
3)
Write the sentence using mathematical symbols.
4) Two subtracted from x is 55.
A) 2 + x = 55 B) 2 - x = 55 C) x - 2 = 55 D) 55 - 2 = x
4)
Name the property illustrated by the statement.
5) (-10) + 10 = 0
A) associative property of addition B) additive identity property
C) commutative property of addition D) additive inverse property
5)
Tell whether the statement is true or false.
6) Every rational number is an integer.
A) True B) False
6)
Add or subtract as indicated.
7) -5 - 12
A) 7 B) -17 C) 17 D) -7
7)
1
Name the property illustrated by the statement.
8) (1 + 8) + 6 = 1 + (8 + 6)
A) distributive property
B) associative property of addition
C) commutative property of multiplication
D) associative property of multiplication
8)
Simplify the expression.
9) -(10v - 6) + 10(2v + 10)
A) 30v + 16 B) -10v + 94 C) 10v + 106 D) 30v + 4
9)
Solve the equation.
10) 5(x + 3) = 3[14 - 2(3 - x) + 10]
A) -39 B) 3 C) -13 D) 39
10)
List the elements of the set.
11) If A = {x|x is an odd integer} and B = {35, 37, 38, 40}, list the elements of A ∩ B.
A) {35, 37}
B) {x|x is an odd integer}
C) {x|x is an odd integer or x = 38 or x = 40}
D) { }
11)
Solve the inequality. Graph the solution set.
12) |x| ≥ 4
A) (-∞, -4] ∪ [4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
B) [-4, 4]
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
C) [4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
D) (-∞, -4) ∪ (4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
12)
Solve.
13) The sum of three consecutive even integers is 336. Find the integers.
A) 108, 110, 112 B) 110, 112, 114 C) 112, 114, 116 D) 111, 112, 113
13)
2
Solve the inequality. Write your solution in interval notation.
14) x ≥ 4 or x ≥ -2
A) (-∞, ∞) B) [4, ∞)
C) [-2, ∞) D) (-∞, -2] ∪ [4, ∞)
14)
Use the formula A = P 1 + r
n
nt
to find the amount requested.
15) A principal of $12,000 is invested in an account paying an annual interest rate of 4%. Find the
amount in the account after 3 years if the account is compounded quarterly.
A) $1521.9 B) $13,388.02 C) $13,498.37 D) $13,521.90
15)
Graph the solution set ...
Pre-calculus 1, 2 and Calculus I (exam notes)William Faber
Notes I typed using Microsoft Word for pre-calculus and calculus exams. Most of the images were also created by me. I shared them with other students in my class to increase their chance of success as well. Upon completion of the courses I donated them to the math center to help other math students.
Mid-Term Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Fill in the blank with one of the words or phrases listed below.
distributive real reciprocals absolute value opposite associative
inequality commutative whole algebraic expression exponent variable
1) The of a number is the distance between the number and 0 on the number line.
A) opposite B) whole
C) absolute value D) exponent
1)
Find an equation of the line. Write the equation using function notation.
2) Through (1, -3); perpendicular to f(x) = -4x - 3
A) f(x) =
1
4
x -
13
4
B) f(x) = -
1
4
x -
13
4
C) f(x) = -4x -
13
4
D) f(x) = 4x -
13
4
2)
Multiply or divide as indicated.
3)
60
-5
A) -22 B) 12 C) - 1
12
D) -12
3)
Write the sentence using mathematical symbols.
4) Two subtracted from x is 55.
A) 2 + x = 55 B) 2 - x = 55 C) x - 2 = 55 D) 55 - 2 = x
4)
Name the property illustrated by the statement.
5) (-10) + 10 = 0
A) associative property of addition B) additive identity property
C) commutative property of addition D) additive inverse property
5)
Tell whether the statement is true or false.
6) Every rational number is an integer.
A) True B) False
6)
Add or subtract as indicated.
7) -5 - 12
A) 7 B) -17 C) 17 D) -7
7)
1
Name the property illustrated by the statement.
8) (1 + 8) + 6 = 1 + (8 + 6)
A) distributive property
B) associative property of addition
C) commutative property of multiplication
D) associative property of multiplication
8)
Simplify the expression.
9) -(10v - 6) + 10(2v + 10)
A) 30v + 16 B) -10v + 94 C) 10v + 106 D) 30v + 4
9)
Solve the equation.
10) 5(x + 3) = 3[14 - 2(3 - x) + 10]
A) -39 B) 3 C) -13 D) 39
10)
List the elements of the set.
11) If A = {x|x is an odd integer} and B = {35, 37, 38, 40}, list the elements of A ∩ B.
A) {35, 37}
B) {x|x is an odd integer}
C) {x|x is an odd integer or x = 38 or x = 40}
D) { }
11)
Solve the inequality. Graph the solution set.
12) |x| ≥ 4
A) (-∞, -4] ∪ [4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
B) [-4, 4]
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
C) [4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
D) (-∞, -4) ∪ (4, ∞)
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
12)
Solve.
13) The sum of three consecutive even integers is 336. Find the integers.
A) 108, 110, 112 B) 110, 112, 114 C) 112, 114, 116 D) 111, 112, 113
13)
2
Solve the inequality. Write your solution in interval notation.
14) x ≥ 4 or x ≥ -2
A) (-∞, ∞) B) [4, ∞)
C) [-2, ∞) D) (-∞, -2] ∪ [4, ∞)
14)
Use the formula A = P 1 + r
n
nt
to find the amount requested.
15) A principal of $12,000 is invested in an account paying an annual interest rate of 4%. Find the
amount in the account after 3 years if the account is compounded quarterly.
A) $1521.9 B) $13,388.02 C) $13,498.37 D) $13,521.90
15)
Graph the solution set ...
Pre-calculus 1, 2 and Calculus I (exam notes)William Faber
Notes I typed using Microsoft Word for pre-calculus and calculus exams. Most of the images were also created by me. I shared them with other students in my class to increase their chance of success as well. Upon completion of the courses I donated them to the math center to help other math students.
College algebra in context 5th edition harshbarger solutions manualAnnuzzi19
College Algebra in Context 5th Edition Harshbarger Solutions Manual
Full download:https://goo.gl/eJxUd2
People also search:
college algebra in context with applications for the managerial life and social sciences
pearson
chegg
This material is a part of PGPSE / CSE study material for the students of PGPSE / CSE students. PGPSE is a free online programme for all those who want to be social entrepreneurs / entrepreneurs
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
College algebra in context 5th edition harshbarger solutions manualAnnuzzi19
College Algebra in Context 5th Edition Harshbarger Solutions Manual
Full download:https://goo.gl/eJxUd2
People also search:
college algebra in context with applications for the managerial life and social sciences
pearson
chegg
This material is a part of PGPSE / CSE study material for the students of PGPSE / CSE students. PGPSE is a free online programme for all those who want to be social entrepreneurs / entrepreneurs
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
29. For a binomial to be a difference of two
squares, two condition must hold.
There must be two terms that are
both squares. Examples are 9a² and
25a⁴ and 81 and x².
There must be a minus sign
between two terms.
30. Are the first term & second term
the same? Why or why not?
31. What pattern is seen in the factors of
difference of two squares?
32. When can you factor expressions
using difference of two squares?
33. Can all expressions be factored
using difference of two squares?
Why or why not?
37. x
7x
4
7
Find the area of
the larger
rectangle:
Find the area of
the smaller
rectangle:
A = lw
= 7x(x)
= 7x²
A = lw
= 7(4)
= 28
Polynomial: 7x² - 28
Factor: 7x² - 28 GCF: 7
7x² - 28 = 7 (x² - 4)
= 7 (x + 2) (x – 2)
38. Generalization:
1. How do you find the factors of difference
of two squares?
2. Why is it important to learn the squares
and square roots of the number?
3. Is it possible to factor an expression if it
contains a number that is not a square? Depend
your answer.
For you to have a better understanding about this lesson, observe how the expressions below are factored, observe how each terms relates with each other.
Students will answer on the board.
Since we are finding for the area of the shaded region, Subtract the area of the smaller rectangle from the area of the larger rectangle.