1. MATHEMATICS PROJECT SAT REASONING Subject: Algebra and Functions

2. 1- Ahmed Mohammed Obaid (Leader) 2- Osama Ahmed.. Concept: BASIC ALGEBRA 3- Abdurrahman Yaqoob.. Concept: FUNCTIONS AND THEIR GRAPHS 4- Khalifa Rashid.. Concept: POWERS AND RADICALS 5- Ahmed Abdullah.. Concept: COORDINATE GEOMETRY STUDENT NAMES:

3.  What is the SAT exam? SAT is "Scholastic Assessment Test"  What is the target score for ATHS students? The target score for ATHS students is 500. INFORMATION ABOUT SAT EXAM

4.  How the SAT test is scored? 1. First, we calculate your raw scores: Your raw scores are calculated for each section based on the number of questions you got correct or incorrect, or that you kept empty. 2. Then we "equate" them: We do a statistical analysis to make sure the test is an accurate representation of your skills. 3. That gives you a final score Your raw score is then converted to a scaled score (reported on a 200-800 scale) by a statistical process called equating. INFORMATION ABOUT SAT EXAM

5. 1. Don't second-guess yourself. 2. Answer every question only if you can eliminate answer choices. 3. Sat practice test. 4. Write in the test booklet. 5. Leave any question blank where you can't identify at least one wrong choice, except for the math grid- ins. 6. Transfer your questions at the end of each section. 7. Slow down 8. Don't Go In Order 9. Relax and thinking clearly 10.CHOOSE WHICH QUESTIONS TO ANSWER FIRST. 10 TIPS TO SCORE MORE IN SAT.

6.  Video: http://www.youtube.com/watch? v=SloQxSB0eIM http://www.youtube.com/watch? v=SloQxSB0eIM SAT MATH TIPS, TRICKS AND STRATEGIES

7.  Concepts and student names: - Osama Ahmed.. Concept: BASIC ALGEBRA - Abdurrahman Yaqoob.. Concept: FUNCTIONS AND THEIR GRAPHS - Khalifa Rashid.. Concept: POWERS AND RADICALS - Ahmed Abdullah.. Concept: COORDINATE GEOMETRY SAT QUESTIONS FOR ALGEBRA AND FUNCTIONS

8. BASIC ALGEBRA Done By: Osama Ahmed Grade: 12.04

9.  Peter wants to get $200,000 for his house. An agent charges 20% of the selling price for selling the house for Peter. a) What should be the selling price? b) What will be the agent's commission?  Answer: Let x be the selling price: x - 20%x = 200,000 a) Solve for x to find x = $250,000 b) 20% *250,000 = $50,000 BASIC ALGEBRA

10.  John's annual salary after a raise of 15% is $45,000. What was his salary before the raise?  Answer: Let x be the salary before the increase. Hence x + 15% x = $45,000 Solve for x to find x = $39,130 BASIC ALGEBRA

11.  The graph of function f is shown below. a) Find the domain of f. b) Find the range of f. c) Find f(0), f(1) and f(2). d) Find all values of x for which f(x) = 5.  Answer: a) Domain: (-4, 4] b) Range: [-4, 12] c) f(0) = -4, f(1) = -3, f(2) = 0 d) f(x) = 5 for x = -3 or x = 3 BASIC ALGEBRA

12.  Find the equation of the line that passes through the point (0, -6) and has a slope equal to 5.  Answer: Given slope and y intercept, slope intercept form of the Equation is: y = 5x – 6. BASIC ALGEBRA

13.  Find the equation of the line that passes through the point (-2, 3) and has a slope equal to -2.  Answer: Given slope and a point, point slope form of the equation is: y - 3 = -2(x + 2) or in slope intercept form: y = - 2x - 1 BASIC ALGEBRA

14.  http://www.analyzemath.com/algebra.ht ml http://www.analyzemath.com/algebra.ht ml SOURCE:

15. Done By: Abdurrahman Yaqoob Grade: 12.04 FUNCTIONS AND THEIR GRAPHS

16.  g(f(2))  A. -2.5 B. -2 C. -1.5 D. 2 E. 4  Answer: D FUNCTIONS AND THEIR GRAPHS

17.  If g(x)= 4−2x, what is g(x−4) ? A. −2x B. −2x−4 C. −2x+8 D. −2x+12 E. −2x2 + 12x −16  Answer : D FUNCTIONS AND THEIR GRAPHS

18.  Which of the following could be the quadratic equation of the graph shown below? A. y  −x2 −2x−3 B. y  x2 −2x−3 C. y  x2  2x−3 D. y  x2  2x  3 E. y  −x2  2x  3  Answer: B FUNCTIONS AND THEIR GRAPHS

19.  If f (x) = 2x−5, then what is the value of f (2) + f (5)? A. 1 B. 2 C. 3 D. 4 E. 5  Answer: D FUNCTIONS AND THEIR GRAPHS

20.  Which of the following graphs of a quadratic function has a negative y-intercept and positive x-intercepts?  Answer: B FUNCTIONS AND THEIR GRAPHS

21.  Books for SAT concepts 2 REFERENCE OF QUESTIONS:

22. POWERS AND RADICALS Done By: Khalifa Rashid Grade: 12.04

23. POWERS AND RADICALS

28.  Books for SAT concepts 2 REFERENCE OF QUESTIONS:

29. COORDINATE GEOMETRY Done By: Ahmed Abdullah Grade: 12.04

30.  Use the graph below. OB is twice as long as OA What is the length of OB ?  Answer C. Find the length of OA. COORDINATE GEOMETRY

31.  If an item is purchased at $150 and sold at $165, what percent of the original cost is the profit? (A) 110 percent (B) 89 percent (C) 100 percent (D) 9 percent (E) 10 percent  Answer E. The profit made on selling the item is (165 2 150) 5 $15. Percentage of profit in terms of the original price is given as ( 15/150)= 100 5 10 percent. COORDINATE GEOMETRY

32.  Let mS be the slope of line S and mT be the slope ofline T. If S ⊥ T, which of the following is always true? I. mS _ mT = −1 II. mS = mT III.ms/mt= 1 A. I B. II C. III D. I and II E. I and III  Answer A. I. True. The product of the slopes of perpendicular lines is −1. II. False. The absolute values of the slopes of perpendicular lines are reciprocals. III. False. The product of the slopes is negative, so the quotient must be negative. COORDINATE GEOMETRY

33. Answer C. Step 1: We need to find the length of the side of the square in order to get the area Step 2: The diagonal BD makes two 45°- 45°-90° triangles with the sides of the square. Step 3: Using the 45°-45°-90° special triangle ratio. Step 4: Area of square = s2 = 22 = 4

34.  If M= (5,2.5), is the midpoint of XY, with X = (−4,1) and Y = (a,4), what is the value of a? A. 6 B. 8 C. 10 D. 12 E. 14  Answer C. Write an equation for x coordinate of the midpoint. -4+a/2 solve for a. -4+a=10 gives a=14 COORDINATE GEOMETRY

35.  Books for SAT concepts 2 REFERENCE OF QUESTIONS: