Revision Exam-style Questions For Studies Exam
1.(a)Express f (x) = x2 – 6x + 14 in the form f (x) = (x – h)2 + k, where h and k are to be determined. (b)Hence, or otherwise, write down the coordinates of the vertex of the parabola with equation y – x2 – 6x + 14. (Total 4 marks)

2.The diagram shows the graph of the function y = ax2 + bx + c.

Complete the table below to show whether each expression is positive, negative or zero. Expression|positive|negative|zero|
a||||
c||||
b2 – 4ac||||
b||||

(Total 4 marks)
3.The diagram shows the parabola y = (7 – x)(l + x). The points A and C are the x-intercepts and the point B is the maximum point.

Find the coordinates of A, B and C.
(Total 4 marks)

4.Find the sum of the arithmetic series
17 + 27 + 37 +...+ 417.
(Total 4 marks)
5.Consider the arithmetic sequence 2, 5, 8, 11, .....
(a)Find u101.
(3)
(b)Find the value of n so that un = 152.
(3)
(Total 6 marks)
6.Gwendolyn added the multiples of 3, from 3 to 3750 and found that 3 + 6 + 9 + … + 3750 = s.
Calculate s.
(Total 6 marks)
7.Find the coefficient of a5b7 in the expansion of (a + b)12. (Total 4 marks)

8.Find the term containing x10 in the expansion of (5 + 2x2)7. (Total 6 marks)
9.The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence. (Total 4 marks)

10.Consider the arithmetic series 2 + 5 + 8 +....
(a)Find an expression for Sn, the sum of the first n terms. (b)Find the value of n for which Sn = 1365.
(Total 6 marks)
11.Find the sum to infinity of the geometric series
(Total 3 marks)

12.The first and fourth terms of a geometric series are 18 and respectively. Find
(a)the sum of the first n terms of the series;
(4)
(b)the sum to infinity of the series.
(2)
(Total 6 marks)

13.Find the coefficient of x7 in the expansion of (2 + 3x)10, giving your answer as a...

...
Name: _________________________
Score: ______ / ______
Algebra I Quarter 1 Exam
Answer the questions below. Make sure to show your work when applicable.
Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7
5x + 13 = -7
5x = -20
X = -4
Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3
The figures above are similar. Find the missing length. Show your work.
x = 1.8 in
What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21
Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7
Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication
Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2...

...ALGEBRA
In all three of these problems there is use of all of the terms required: simplify, like terms, coefficient, distribution, and removing parentheses. There is also use with the real number properties of the commutative property of addition and the commutative property of multiplication. In what ways are the properties of real numbers useful for simplifying algebraic expression? The properties are useful for identifying what should go where and with what, to make it simpler to understand and to solve the equation properly. When we break things down to a simplified process, it is much easier to see how the real numbers are placed and why they are placed that way. Real numbers do not actually show the value of something real in the “real world”. For example, in mathematics if we write 0.5 we mean exactly half, but in the real world half may not be exactly half. In all reality, we use mathematics every single day, whether we consciously realize it or not. Math is the key subject that applies to our everyday lives in the “real world”.
Expression number one like terms are combined by adding coefficients, the removal of parentheses, and the use of commutative property of addition and multiplication. Expression number two has the use of quite a bit of distribution, combining like terms, and removal of parentheses. Expression number three like terms are combined by adding coefficients also. In...

... 1
Negative to positive
Being different is something that people in society seem to not understand and I believe it scares them. Society has standards and expects something out of all of us, and when someone or something is different, society tries to push it out. Racism has been something that goes way back, and has caused laws to be made. Unfortunately racism still continues today, even with the laws that were made. My question in particular is why does the color of someone’s skin looked upon so negatively by our society? Even if race is looked upon by our society as negative as it is, people don’t understand that we are all the same and nothing has ever been different but our skin color.
In the 1800’s and 1900’s race was such a huge thing. Black American’s were made out to seem like they were not equal to the white and got treated very harshly, and got the short end of the stick. White folks made it clear that in their minds, they were above the blacks, and deserved better. They got to sit in the front of the bus, have their own restroom, have their own water fountains, and lastly have better schooling and job opportunities. All of these negative things influenced black American’s to have such hatred and distance from one another, but little did they know we are all American’s and had to stand together, not fight one another over something that had happened such a long time ago. But not only do Black...

...Financial Polynomials
Tabitha Teasley
Math 221: Introduction to Algebra
Regina Cochran
March 22, 2014
There are many times in our life that we need to buy something big and expensive. In order to
afford or buy these item, such as cars, trucks, and houses, we need to invest or save our money over
time for that particular goal. Knowing how much money we need to begin with initially for an
investment and how much money we need to save additionally can help us to achieve that goal.
Polynomials can help you to know how much you need to start with and how much you need to save.
In this paper I will demonstrate how to use polynomials in two problems and I will simplify a
polynomial expression, so you will know how to use this in your life to solve financial problems like
this. Because polynomials can help you achieve those monetary goal you desire.
On page 304, problem #90 states: “P dollars is invested at annual interest rate r for 1 year. If
the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of
investment after 1 year “ (Dugopolski, 2012). The first part requires the polynomial expression to be
rewritten without parenthesis. This mean FOIL or to multiply First, Outer, Inner, Last, the binomial
(1+r)^2 and then multiply all terms by P.
P(1+r)^2 The original expression...

...Cami Petrides
Mrs. Babich
Algebra Period 4
April 1, 2014
Extra Credit Project
12. When you flip a light switch, the light seems to come on almost immediately, giving the impression that the electrons in the wiring move very rapidly.
Part A: In reality, the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0 centimeter, or 1.0x10 to the -2nd?
Part B: Electrons move quickly through wires, but electric energy does. It moves at almost the speed of light, 3.0x10 to the 8th meters per second. How long would it take to travel 1.0 centimeters at the speed of light?
Part C: Electrons in an ordinary flashlight can travel a total distance of only several centimeters .suppose the distance an electron can travel in a flashlight circuit is 15 centimeters, or 1.5x10 to the -1st meter. The circumference of the earth is about 4.0x10 to the 7th meters. How many trips around the earth could a pulse of electric energy make at the speed of light in the same time an electron could travel through 15 centimeters of a battery circuit in 5.0x10 to the -4th meters per second?
For part A, the first step is to put (5.0) to the 10th to the -4th. The numerator would be (0.00050) if someone were trying to put 5.0x10 to the -4th in the form it’s supposed to be in. For the second scientific...

...Pros and Cons of Cloning
The process of cloning has remained one of the most controversial topics as debates continue about the pros and cons of Cloning. Cloning which is the process of duplicating DNA or living stem cells can be dated back to over 200 years ago. The two most common types of cloning are Therapeutic Cloning and Reproductive Cloning. Therapeutic cloning is a process that specifies the use of cloning stem cells for the treatment of an illness or disability (Ham, 2007). Reproductive Cloning involves inserting a cell into a host but uses donated embryos to harvest stem cells that can be converted into almost any type of cell needed (Ham, 2007). Many arguments are being posed by scientists, pro-life representatives, medical researchers and religious followers about why the practice of cloning should be allowed or banned with all parties making strong points on either side. Today there is a great amount of experimenting and cloning tests being conducted on animals. The United States government has suppressed support for human cloning practices (Bush, 2002). This report will elaborate on the different views from the pro and con side of cloning and provide a realistic synthesis and a conclusive resolution for the practices surrounding the cloning process.
The benefits of cloning have high potential in areas including, infertility, abortion and the organ transplant process (Ham, 2007). Some researchers such as Panayiotis Zavos who is a leading researcher...

...Sonali Shah
Dr. Valerie Levy
Honors English Composition 103
2 October 2012
Negative vs. Positive Connotations
More often when we hear a word, the definition is not so clear; words in the English language have multiple meanings. For example, the word “gay.” This word is very ambiguous meaning either ecstatic or homosexual. Ecstatic obviously has a positive connotation while homosexual can be offensive. In a very similar way, Frederick Douglass’ essay “Learning to Read and Write” questions the definition of knowledge. Douglass saw that his only pathway to freedom was through literacy, so his goal was to learn how to read and write, no matter what the circumstances are. Martin Luther King Jr.’s “Letter from Birmingham Jail” is a response to a published statement by eight fellow clergymen from Alabama who fiercely criticized King for organization and participation in the protest march against segregation in Birmingham. King's letter, an attempt to defend himself from accusations, criticizes white moderates and church. Both these authors incorporated connotations of certain words – knowledge, extremist, and moderate – to prove their actions just in a precise and effective manner.
Knowledge is directly correlated to education; Frederick Douglass, however, compares knowledge with power. As written in the Merriam Webster dictionary, knowledge means “being acquainted with facts, truths, or principles, as from study or investigation;...

...Page 3
passion. This love may not always include commitment, for example spring break or summer
love. Infatuated love is mostly the same as fatuous, but may be described as people in awe,
adoration, and sex related feelings. Empty love is relationships built on commitment only.
People often describe this as a “dead” relationship and both parties often find a reason to stay
together. For example some will stay together just for the financial reason and not love.
Consummate is the complete form of love, representing the ideal relationship toward which
many people strive but which apparently few achieve. Sternberg cautions that maintaining a
consummate love may be even harder than achieving it. "Without expression," he warns,
"even the greatest of loves can die" (1987, p.341). . Sternberg cautions that maintaining a
consummate love may be even harder than achieving it. The variety of love is captured in
Sternberg’s theory of love’s essential ingredients. He explains in depth what love is and how
emotions and feelings are a part of his triangular theory of love. However time alone
Page 4
does not cause intimacy, passion, and commitment to occur and grow. Knowing
about these components of love may help couples avoid pitfalls in their relationship.
Reference:
Sternberg, R. J. (1986) A triangular theory of love. Psychological Review, 93,
119-135.
Sternberg, R. J. (1988) The Triangle of Love:...

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