3rd Grading Reviewer/Quick notes on Math VII
* Algebra – is a branch of mathematics that focuses on demonstrating the properties and relationships of abstract things in symbolic form or in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set. * Variable - is a symbol, usually a letter, such as x, y, or z, used to represent an unknown number. * Constant - an object or symbol that does not change its value in a particular problem or discussion e.g. pi. * Algebraic Expression - is a collection of numbers, variables, symbols for operations, and symbols for grouping. * Diophantus – a Greek mathematician in the 3rd century, was for some time called the “Father of Algebra”. * Musa al-Khowarizimi – an Arabian mathematician in the 9th century was awarded the title the “Father of Algebra”. The word algebra was taken from his treatise Al-jabr. * Polynomial - is an algebraic expression that represents a sum of one or more terms containing whole-number exponents on the variables. In a polynomial, a variable cannot appear (1) in a denominator, (2) as an exponent, or (3) within a radical sign. * A term is that part of an algebraic expression separated by + or – signs. Ex: 7x + 3 has two terms: 7x and 3. (7x is a variable term while 3 is a constant term). * The numerical part of a term is called its numerical coefficient. Ex: the numerical coefficient of 9m is 9, the numerical coefficient of –15x3y2 is –15, the numerical coefficient of x is 1. * Terms with exactly the same variables that have the same exponents are called like or similar terms. * Dissimilar terms are terms whose literal factors are not exactly alike. Ex. 3xy^2; 3x^2y; * Monomial – a polynomial with one term

* Binomial – a polynomial with two terms
* Trinomial – a polynomial with three terms...

...plane with pulley and weights.
The first part of the experiment is “Determination of the Coefficient of Friction” as shown in Figure 5. The first procedure is to position the wooden plane horizontally then measure the weights of the block and pan using the platform balance. Next is to tie one end of the string to the block’s hook and the other end to the pan passing over the pulley of the plane. Next, place the narrow side of the block on top of the plane. Next, slowly add weights on the pan until you observe a uniform sliding motion of the block along the plane. Record the weights on the 3735070000data sheet then repeat it by adding smaller weights on top of the block and adjusting the weights on the pan. Make five (5) trials but on the third trial, use the wide side of the block. Calculate µ for each trial and finally 37357053016250Figure 5. Set Up for the Determination of the Coefficient of the Friction
0Figure 5. Set Up for the Determination of the Coefficient of the Friction
determine its average value. Lastly, Plot Wb along the abscissa (x-axis) and Wp along the ordinate (y-axis). Get the slope of the line.
Table 1. Determination if the Coefficient Friction
TRIAL (Wblock + Weightadded)
Wb(Wpan + Weightadded)
WpCoefficient Friction
µ
1 138.9 g 30 g 0.22
2 238.9 g 40 g 0.17
3 138.9 g 30 g 0.22
4 238.9 g 85 g 0.36
5 338.9 g 105 g 0.31
Coefficient Friction, µ Average 0.26...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...pp. 737-738. Please note that entries must be alphabetized and that the first line of each entry should be flush with the margin, but all successive lines should be indented 5 spaces. This is called a “hanging indent.”
Assignment: Write an essay about a concept that interests you and that you want to study further. When you have a good understanding of the concept, explain it to your readers, using definition, comparison and contrast, cause and effect and/or any other appropriate rhetorical strategies, considering carefully what your readers already know about the topic and how your essay might add to what they know. Be sure to support your explanation with specific facts and examples.
You are required to cite at least seven (7) sources. Two (2) of these may be approved websites and four (4) must be articles originally published in a reputable magazine, newspaper or peer-edited journal. Use the library’s online databases to find such articles. A handout posted on Bb under Content explains how to do this, and we will have a day in the computer lab, or classroom, where I walk you through the process. Please note that, without an individual exception approved by me, you may use no more than two (2) books. All information taken from your sources must be properly documented, using MLA style parenthetical citations along with a Works cited page. SMG, Ch. 27 shows you how to do this. If you have questions at any stage of the process,...

...1
Class X Mathematics Chapter 2: Polynomials Chapter Notes Top Definitions 1. A polynomial p(x) in one variable x is an algebraic expression in x of the form p(x) = anxn an1xn1 an 2 xn 2 ........ a2 x2 a1x a0 , where (i) a0 , a1, a2......an are constants (ii)x is a variable (iii) a0 , a1, a2......an are respectively the coefficients of xi. (iv) Each of anxn an1xn1, an 2 xn 2 ,........a2 x 2 , a1x, a0 , with an 0, is called a term of a polynomial. 2. 3. 4. The highest exponent of the variable in a polynomial is called the degree of the polynomial. A polynomial of degree one is called a linear polynomial. It is of the form ax + b. Examples: x-2, 4y+89, 3x-z. A polynomial of degree two is called a quadratic polynomial. It is of the form ax2 + bx + c. where a, b, c are real numbers and a 0 Examples: x2-2x+5, x2-3x etc. A polynomial of degree 3 is called a cubic polynomial and has the general form ax3 + bx2 + c x +d. For example: x3 2 x 2 2 x 5 etc. A real number k is said to be the zero of the polynomial p(x) if p (k) = 0.
5.
6.
Top Concepts: 1. 2. 3. 4. The graph of a polynomial p(x) of degree n can intersects or touch the x axis at atmost n points. A polynomial of degree n has at most n distinct real zeroes. The zero of the polynomial p(x) satisfies the equation p(x) = 0. For any linear polynomial ax+b, zero of the polynomial will be given by the expression (-b/a).
2
5. 6. 7. 8. 9. 10. The number of real zeros of...

...MATH 122 SYLLABUS
Faculty Information: Name: E-mail: Office: Office Hours:
Section 08 B-1-122 MAK MW 6:00 – 7:15 PM Fall 2013
Corrina Campau campauc@gvsu.edu A-1-132 MAK Phone: (616)331-2052 Tuesday, Thursday 3:45 – 4:30 PM Monday, Wednesday 3:30 - 4:30 PM Monday, Wednesday 7:15 – 8:00 PM by appointment only
Prerequisite:
MTH 110 (a grade of C or better is recommended) or assignment through GVSU Math Placement. You may wish to take the MTH 122 proficiency test which would allow you to waiver 122 and is offered during the first week of class and other times during the semester. For more information visit gvsu.edu/testserv and click on Math placement. College Algebra MTH 122 special edition for Grand Valley State University by John Coburn Students will be required to possess and make use of a TI-83 or TI-84 graphics calculator during the course. You are expected to have and use your calculator every class period. Students will not be allowed to share calculators on tests. Symbolic manipulating calculators (such as the TI-89) and calculators on cell phones, PDA’s, etc. will not be allowed on tests. Math 122 is part of the Mathematical Sciences General Education Foundation Category. Courses in the Foundations Categories introduce students to the major areas of human thought and endeavor. These courses present the academic disciplines as different ways of looking at the world. They introduce students to the...

...BUSINESS MATH SEMESTER REVIEW
I. BANKING
1. In a check with the correspondent stub, students should know how to:
* Record transactions.
* Determine who is the payee, the drawee, the drawer, the banks identification number,
the account number, write checks, calculate balances, etc.
2. With a list of transactions, all dated and numbered, students are requested to prepare a Bank Reconciliation.
II. PERCENTS, DECIMALS AND FRACTIONS
1. Students should be prepared to make conversions as follows:
Decimals to percents, Percents to decimals, Fractions to percents, Percents to fractions
2. Calculate rate of percents of increases and decreases.
Examples for conversions:
1. Convert the following decimals to percents
. 0.75; 9.00; 6.006
2. Convert the following percents to decimals:
. 18%; 45⅞%; 119%
3. Convert the following fractions to percents:
. ⅞ %; [pic]%; [pic]%
3. Convert the following percents to fractions and reduce to lowest terms:
. 6%; 31[pic]%; 182%
Sample Problems:
1. Colegio Menor has 600 male students. This is 60% of the total student body. How many students attend Colegio Menor?
2. The price of TI calculators dropped from $29.95 to $ 16.99. What was the percent decrease in price?
III. TRADE DISCOUNTS AND CASH DISCOUNTS
Students should know how to:
• Calculate...

...worked 12 hours and Cass, 4 hours and they earned a total of P1, 250.00. How much is Cass’s hourly rate?
a. P 48.00 b.P49.50 c. P 44.08 d. P44.50
39. What is Uma hourly rate?
a. P89.90 b. P89.00 c. P88.75 d. P 89.47
40. If X is located on line segment AB and point Y is located on line segment CD, If AB = CD and AX >CY, then :
a. XB > YD c. XB > YD
b. AX > XB d. AX > XB
41. If W > X, Y< Z and X > Z, then which of the following equation must be true?
a. W >X >Y> Z c. X >Z >Y >W
b. W> X >Z >Y d. Z < Y < X < W
42. The number of degrees through which the hour hand of a clock moves in two hours and 12 minutes is?
a. 66 degrees c. 126 degrees
b. 72 degrees d. 732 degrees
43. Emang is 15 years old. Veronica is one-third older. How many years ago was Veronica twice as old as Emang.
a. 3 b. 5 c. 7.5 d. 10
44. A train running between Calamba and Magallanes arrives at its destination 10 minutes late when it goes at 40 kms. per hour. And 16 minutes late when it goes at 30 kms. per hour. What is the difference between the two towns?
a. 25 kms. b. 12 kms. c. 75 kms. d. 80 kms.
45. Jake is 67 years old. His son Jay is 29 years old. In how many years will Jay be exactly half his father’s age?
a. 6 b. 7 c. 8 d. 9
PROBLEM SOLVING :
46. Jamie bought 55 copies of phil. History and paid a total of P 3,850.00. If she buys 3 copies more of the same book, how much will she pay in all?
a. P4,060 b. P4,260 c. P4,160...

...in the South-West Pacific and
South-East Asia—our region of primary strategic interest—and to be
capable of reacting positively to calls for military support further afield
from our allies and friends, should we judge that our interests require
it.10
This language was not just for show. In private, the government of the day
was very focused on a number of scenarios in which Australian forces might be
deployed on expeditionary operations—such as the then much-feared
contingency of a clash on the Indonesia–PNG border. It vigorously maintained
Australia’s forward commitments in Asia through the Five Power Defence
Arrangements11 and in other ways, and when crises arose (for example in Fiji
and in the Persian Gulf in 1987), it was quick to deploy forces.
So expeditionary deployments were in no sense precluded by the ‘defence
of Australia’ policies of the 1980s. Nonetheless, they did place much less emphasis
than previous policies on operations to defend Australian interests beyond the
continent, and it is worth asking why. The explanation has several elements.
First, these were years in which public support for expeditionary operations
suffered a deep nadir, which certainly provided strong incentives to present
policy in other terms. It can be hard now to recall just how strongly Vietnam
turned Australians against expeditionary operations. As Millar wrote in 1979:
‘No political party is interested in deploying the Defence Force overseas.’12...