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...

...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...

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...automation or support of human decision making, e.g. Decision Support Systems, Expert systems, and Executive information systems. When this all of this activities run in the organization it face some positive and negative impact. Here in this assignment try to focuse some of this negative and positive impact of MIS in Organization.
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