(1) -8 (2) -3 (3) 3 (4) Factor the following: x 3 + 5x 2 + 4x + 20 (!) (x2_4)( x

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1 10 Test 1 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. A survey is being conducted about people's favorite professional sports teams. Which of the following survey methods would most likely produce a random sample? (1) Asking every 1 Oth person walking into Yankee stadium (2) Using a random number generator based on those who bought tickets to last week's Jets game (3) Calling random phone numbers from 100 zip codes throughout the country (4) Sending out a survey to those who subscribe to Sports Illustrated 1 2. In triangle ABC, side a = 7, b = 6, and c = 8. Find mzb to the nearest degree. (1) 43 (2) 47 (3) 65 (4) x = 3. Solve for x. log 5 ^- Express the answer to the nearest hundredth. (1) 2.24 (2) 0.45 (3) 0.04 (4) / 4. Solve for x: v x-8+5=12 (1) 13 (2) 57 (3) 127 (4) If sin A = j and cos B = and ZA and ZB are both in quadrant I, what is the exact value of cos (A B)? 6. If x varies inversely with y and x = 4 when y = 3 0, find x when y = 24. (l)-5 (2) -3.2 (3) (4) 180 i 7. In right triangle ABC, C is the right angle and sin A = -j- What is the value of esc Bl (1)^ (2)2 Q)\ (4)^ x 3 y 8. Simplify this expression: ; x ^ 0, y ^ 0 y 2 *~ 2 (l)x 5^ (2)*v9 r (3)^- HZ. (4) JL x 5 Test 1 ' '9 Which angle is coterminal with an angle of 45? j (1) 90 (2) 225 (3) 315 (4) If one root of the equation 2x Ox + k = 0 is -2, what is the other root? 10 (1) -8 (2) -3 (3) 3 (4) Factor the following: x 3 + 5x 2 + 4x + 20 (!) (x2_4)( x + 5) (3) (x-5)(x 2-4) (2) (x + 5)(x 2 + 4) (4) not factorable The following table shows the scores obtained by 30 students on a 10 point math quiz. Score Frequency What is the mean for this data set? Round to the nearest tenth. (1) 1.8 (2) 1.0 (3) 7.1 (4) Which of the following geometric sequences has a common ratio of-3? (1) 27,-9,3,-1,.- (2) 1,-2,-5,-8,..' (3) ^,-1,3,-9,... (4) -5,-15,^5,-135, On June 1,2009, the price of gas was $ 1.79 per gallon. The price is predicted to increase 0.3% per month. If that prediction is correct, about how many months, to the nearest whole number, will it take for the pnce of a gallon to reach $ 1.90? (1). 1 (2) 2 (3) 19 (4) In a bouquet of flowers, 3 are roses, 5 are carnations, and 4 are daisies. If two flowers are selected from the bouquet, what is the probability that they are both roses? Round your answer to the nearest percent. (1) 5% (2) 23% (3) 26% (4) 46% 15 3 I = 3JC_1 (2) (3) (4) Evaluate the expression: z" V i 2 i 3 (1)1 (2)-l (3)i (4)0 17

2 Express in simplest form: (1) (2) 6\fx + x 4-x 19. Solve for x:x 2 + 6x + 5>0 (1) (x<-5) or (x>-l) (2) (-5 <*<-!) 20. Solve for x: 2 -x + 4 > 10 (1) Kx<9 (2) (x < 1) or (x > 9) Test 1 2+Vx" 2-Jx~ 21. Write an equivalent expression: ^/64x' v. (3) Vr-I (4) x+4vx+4 4-x (3) (x<5) or (x> 1) (4) (1 <x<5) (3) (x<-9) or(x>-l) (4) (x<-])or(x>9) 20 (l)2x (2) 2x 3 j (3) 4x 3 j/ (4) 4x l2 y What is the interquartile range of the following data set? {5, 7, 8, 4, 5, 6, 3, 8,2, 1, 0, 6, 8, 9, 4, 0} W 2-5 (2)5 (3)7.5 (4)9 23 The mverse of Cos x is a function. The domain of Cos x could be 1 x:-27r<x<0} (3){x:0<x<27t} (2) {x:-t:<x<7r} (4) {x: 0 <x<tt} Test A test was given to 120 students, and the scores approximated a normal distribution. If the mean score was 72 with a standard deviation of 7, approximately what percent of the scores were 65 or higher? (1)50% (2)68% (3)76% (4)84% Which of the following graphs shows a strong negative linear correlation between the variables? (1) I I I I I I I I H (2) 1 I I I I *1 f r (3) I I I I I I II 1 I I I I! II (4) Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 28. In a circle whose radius is 4 centimeters, what is the length of an arc intercepted by a central angle of 2.5 radians? Apply the laws of logarithms to expand this expression: log [ 4 ^ (1)4(2j(3 logx+ log 7 ) ( 3 ) i o g 4 + (IL 3 l Q g x + l Q g y ) ' (2)4(2j(logx + logj) (4) (2 jgog log x + logj) Which diagram represents a relation in which each member of the domain corresponds to only one member of the range? cm y A 29. A circle has the equation x 2 +y 2-8x + 14y + 40 = 0. Express this equation in center-radius form. ->-x 3>X (1) (2) (3) (4) 25

3 14 Test Triangle ABC is an isosceles triangle. Its base is 16.2 cm and one base angle is 63 20'. Find the length of one of the congruent sides to the nearest hundredth of a cm. Testl 33. If $2500 is invested in a bank account that has an annual interest rate of 4.2% compounded continuously, how many years, to the nearest tenth, will it take for the money to double. No deposits or withdrawals are made from the account. (Use of the grid is optional.) 31. Given the function f (x)=-~=, find the domain Sketch the graph of g(x) = Arc sin x where g(x) is the inverse of f(x) = Sin x. i Evaluate: ^ X ^ ' ' k=2-5 I 35. Write an equation that describes the function including the following ordered pairs. X y -A -ii

4 16 Test 1 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 36. Solve this equation for x. An algebraic solution is required. Express the answer in simplest radical form. x 2 = x + 4 ALGEBRA 2/TRIGONOMETRY 17 Testl Part IV Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. Find all values of 6 in the interval 0 < 9 < 360 that satisfy the equation 2 sin 2 9 +sin 6= 1: 37. The volume V of a sphere with radius r is given by the formula V= nr 3. Find the radius of a ball with a volume of 41 cubic inches to the nearest hundredth of an inch. 38. Simplify: ^ x

5 18 Test 2 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. Which equation would have the solution of x = - 4? (1) 3x + 5-8=-l (3) 3x + 5-8=-ll (2) 3x + 5-8=ll (4) 3x + 5-8=l 1 2. If 0 is an acute angle such that sin 9 =, what is the value of sin 20? 0)7T 13 w(2)^7 26 " w(3)^ 169 (4)^0 169 w 3. Solve for x: -6 = x < >{ } <*>{-!} (3) {2, 3} 4. If sin A < 0 and cos A < 0, in which quadrant does <A < A terminate'? ten (1) I (2) II (3) III (4) rv 5. Find the value of 7x 2 if x = 16. (1) 1.75 (2) (3) the product of (1 + z) and (1-2z") is equal to? (1) -1 - i (2) 3 - i (3) 3 + i (4) {-2,-3} (4) (4) l+4z 7. The following data shows the number of pets for 30 students in a math class. Pets Frequency The standard deviation, to the nearest tenth, is (1) 1.4 (2) 1.8 (3) 2.2 (4) Factor the following: wv-4w + 5v-20 (1) (v-4)(«+ 5) (3) 5M(V-4) (2) (v-4)(a-5) (4) (v + 4)(a-5) 9. Express as a fraction with a rational denominator ^ (1) (2) (3) (4) Test If 0 < 0 < 3 60, find all values of 0 that satisfy the equation -4 cos 6 = 1, to the nearest degree. (1) 104, 256 (3) 24, 104, 156, 256 (2) 76, 104 (4) 76, 104, 156, x Solve the inequality: > 0 x + J I ^ \ (1) (-3 < x < - ) (3) (x < -3) or \x > --) (2) ( <x<3) (4)(x< ) or(x>3) 'H 12. In right triangle ABC, C is the right angle. BC = 5 and AB = 13. What is the value of sec A? 13. You roll two six-sided dice. What is the probability of not rolling doubles? 14. In triangle DEF, side e = 10, /= 8, and mzd =110. Find the length of the third side to the nearest tenth. (1) (2) (3) 14.8 (4) Which expression shows the product of (4 S - 6-J2 )( >/2 ) in simplest form? (1) (3) (2) (4) If arcsin x is a function, then the domain of Sin x could be (1) {X:-2T:<X<0} (3) x:- <x< } (2) {x:-7i<x<7t} (4) {X:0<X<2TT} In ADEF, ZD=50 6', e = 12 and/= 7. Find the area of ADEF to the nearest tenth. (1) 12.0 (2) 26.9 (3) 32.2 (4) What is equivalent to the value of sin (A + B) if sin A = cos Bl (1) 1 (2) 2 (3) (2sinyf) 2 (4) (sin A cos Bf If y varies directly as x andy = 20 when x = - 4, findx wheny (1) -250 (2) -10 (3) -0.8 (4) 10 19

6 20 Test Which equation has a period of n and an amplitude of3? (1) y = 2 c o s 3 x (2)y=2cos3x (3)y = 3cos2x (4) v=3cosx Which diagram shows an angle with a measure of-120 in standard position? 21 Test 2 Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. (i) ->-x (3) 1^ 28. Solve for x: 2 (x+1} + 5 = 17. Express the answer to the nearest hundredth. \ f.. y t (2) ->x (4) rrf., 21_ 22. Find the sum and the product of the roots of this quadratic equation. x 2-15x + 36 = 0 (1) Sum = -15, product = 36 (3) Sum = 15, product =-36 (2) Sum = 36, product = -15 (4) Sum = 15, product = Perform the indicated operation 4x + 12 and express the answer in simplest form. 3x 8x (1) x(x-3) 6x x 2-9 (2) x-3 (3) x-1 (4) x In an AC circuit, the voltage ( V ) can be found by multiplying the current ( C ), and impedance (I). Express the number of volts in a circuit with a current of 3-4/ amps and impedance of 6 + 2i ohms in a + bi form. 24. The population per square mile, y, from 1790 to 2000 can be represented by the linear regression equation y = 0.34x If this trend continues, what will be the population per square mile in 2050? (1) (2) (3) (4) Which expression is the simplest form of V6+2 ' (2)f + f (3) ^ + ^ (4)^-73" 26. What are the solutions of this equation x 4-10x = 0? (1){-1,1} (2) {-1,1,3} (3) {3,-3,1} (4) {-1,1,-3,3} Find the exact sum of sin + cos. 27. The following infinite geometric sequence (1) convergent (3) both convergent and divergent (2) divergent (4) neither convergent nor divergent is 27

7 23 Test Write this expression in simplest radical form: -2x^72x 3 y What is the 10th term of the arithmetic sequence -1, 3, 7, 11,...? 32. There are 5 women and 7 men who are reporters for a magazine There are six articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women? Round to the nearest tenth of a percent if necessary. Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 33. If f(x) = 3x + 2 and g(x) =x 2-5, find the value of (f g)(-3) 7K 36. Sketch and label 9 and its reference angle in standard position if 6 =. Label 6 the reference angle with a. Find the radian value of the reference angle, a, in terms of 71. A

8 24 Test Graph and label the inequality y - x 2 > -Ax. Label the solution set with S. y 2: Test 2 Part IV Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula - substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. The magnitude of the resultant of two forces acting on a body is 90 lbs. The angles between the forces and the resultant are 22 30' and 56 45'. Find the magnitude of the larger force to the nearest tenth of a pound. 38. Given: f(x) = 6x 3 a) Find g(x), the inverse of f(x). b) Use the composition of functions to justify that f(x) and g(x) are inverses of one another.

9 26 Test3 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. The sum of V80 + 3V45 in simplest radical form is (1)4^25 (2) 20^5 (3) (4) In right triangle ABC, C is the right angle. BC = 8, AC=15. What is the value of cot A? 3. Which equation best represents the accompanying graph? (1) y = 2- (3)y = 2- (2) y = x (4)y = -2* 4. Simplify: x + 12 x 7x (I)" x-6 x(x-6) (2) 2(x-7) x(x 6) (3) 2(x + 7) 5. Tan 'x is a function. The domain of Tan x could be 17 0) (2) 15 (3)- (l){x.--<x<- (2){x:-^<x<7i (3){X:-2TT<X<0} (4) {x: - n < x < TC] <4)i? *-x x(x-3) w-i+r 2 6. What number must be added to both sides of this equation to solve it by completeing the square? 3x x = 9 (1)225 (2)25 (3) 6.25 (4)5 7. Simplify: ^32x 6 y 4 (1)4x^787 (2)8x 2 y747 (3)2x^747 (4) 4xy 7^7 8. If Sin A =pyand 90 <A < 180, what is the exact value of sin 2A1 (1) 120 (2)- 120 (3)240 K ' 289 (4) Test 3 9. Solve for x: x+7x+l =5 (1) 3, 8} (2) {-3, 8} (3) {3} (4) {8} 10. What is the third term in the binomial expansion of (x - 2y) 6? (l)60xv (2)-12x 5 y (3) 240X 2 / (4)-120xy In right triangle ABC, C is the right angle. If AC = 24 and BC = 32, what is the value of sec A! )f (2)7rT 40 (3)^ 24 (4) If one root of a quadratic equation is 3 and the product of the roots is 15, what is the value of b if the equation is in the form ox 2 + bx + c = 0 and a = 1 (1) 5 (2) -5 (3) 8 (4) The zero(s) of the following graph are (1) x = 0 (2) x = 0 andx = 2 (3) y=0 (4) y = 0andy = 2 / I What is the exact value of the esc 0 if (5,2) is on the terminal side of 0 in standard position? (1) "f (2) 5V29 (3)- (4) The following table Siblings shows the number of Frequency siblings of each student in an Algebra class. What is the median for this data set? (1) 1 (2) 1.8 (3) 3.5 (4) Which equation has a diameter with endpoints (3, 2) and (-5, 8)? (1) (x+ l) 2 + (y-3) 2 = 41 (3) (x + 3) 2 + (y-2) 2 = 164 (2) (x-l) 2 + (y + 3) 2 = 41 (4) (x-3) 2 + (y + 2) 2 = Rewrite this expression in simplest radical form. (4x 3 y 4 j ( D V ^ (2) 2xy 2 7x" (3) 8xy7x" (4)V8xV 18. If a transformation of ^ f (x) was performed on f (x) = sin x, the resulting graph, compared with the original graph, would (1) have of the amplitude (3) move to the right of a unit (2) have 2 of the period (4) move up of a unit

10 28 s\af Test 3 he probability, p, that a snack bar will sell out of hot dogs on a summer day 3/5. Use the normal approximation to estimate the probability that the snack bar will sell out of hot dogs at least 70 of the 100 days it is open next summer. (1) 0.2 </> < 0.3 (3) 0.3 <.p < 0.4 (2) 0.02 <p< 0.03 (4) 0.03 <p< Express as a single term in simplest form: (1) ii (2) 5-5^3-4 2-Vl2 (3) 5-10V5 (4) 5-5S What is the inverse of g(x) = x + 4? (3x + 12) (1) g~\x) = 2 (2x - 8) (2) g-'w = (3x -12) (3) g-'(x) = (4) g-'(x) = 3x Test Factor completely: 8 lx : - 44 ly 2 (1) (x-3y)(9x+ 147y) (3) 9(3x - 7y)(3x + 7y) (2) 9(9x 2-49/) (4) 9(3x - 7y)(3x - 7y) 27 Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 28. Each child in a family of 3 children is going to get a pet. One wants a dog or cat, another wants a bird or rabbit, and the third wants a frog or snake. List a sample space or draw a tree diagram and determine the number of possible outcomes. 22. What is the graph of the solution set of x 2-2x - 3 > 0? (1) f"f"f» «Cj) j I I I I I I I I I I { f j ^ ^ (2) 3 _! 1 I L (3) r I I cwhi (4) < I I I I I I I HH I 1 I I i H I 1 I I What is the period of the graph of y = -5 sin (x - )? (1) 2TI 2' (2)- 2TZ (3) 6TC (4) Find the degree measures of 2 angles, one positive and one negative, that are co-terminal with If cot 0= and cos 6 < 0, what.at is the measure of 0 to the nearest degree. (1) 23 (2) 113 (3) 247 (4) 293 c A 30 central angle intercepts an arc of a circle with a radius of 5 cm. What is the length of the arc to the nearest tenth of a centimeterl (1) 0.2 (2) 2.6 (3)6 (4) ( 2\ 30. Find the exact value of x"+x J when x = Michael deposited $200 into a bank account and did not make any further deposits or withdrawals. The accompanying table shows the account balance for several years. Which type of regression equation would best model this data? (1) Linear (2) Exponential (3) Logarithmic Elapsed time Account (years) Balance 2 $207 4 $ $ $ $ $ (4) Power 26 _

11 30 Test Find the sum of the following geometric series ^ 4(3) k=2 32. Beginning with cos sin 2 0 = 1, use algebra to develop the Pythagorean identity that involves cot 9 and esc 0. 7 _ 31 Test 3 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 36. Hotels are rated on the basis of one star to five stars. The Soft Pillow Hotel chain rated all 50 of its hotels. The data is shown in the accompanying table. Number of Stars Frequency a) Find the standard deviation of this set of data to the nearest hundredth. Indicate if you are using the sample or population standard deviation and justify your choice. ' 33. Find the 6 th term for the sequence where a n = 4a n _ l where a 3 = 12? b) How many hotels have ratings that fall within one standard deviation of the mean? 34. Iff(x) = 5x 2 + 6, evaluate f(3). M 1 3 ),, 35 Evaluate -, N,. Express the answer to the nearest thousandth. In{25) - ln[20) 37. Write an equation that is represented by this graph. 4 i-

12 32 ALGEBRA 2 / TRIGONOMET RY Test 3 3 zl 38. Simplify this expression: 27x 4 (l6xy~ 2 ) 4, x^o, y*0 Part IV Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm. An angle of the parallelogram is 40. Find the measure of the longest diagonal to the nearest tenth of a centimeter. Test 4 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question.. x+2 x-2 1. Solve for x: = x 2x (1){0,6} (2) {6} (3) {0,-6} (4) {-6} ' 1 2. The table below shows the amount of medicine found in the bloodstream over 8 hours following a dose of 10 mg. Time (hrs) Drug Amount (mg) exact 64 3 The linear regression equation that best fits this data is (1) y = 0.79(11.18)- (3)y = 9.68x-1.17 (2) y=11.18(0.79)*. (4)y = -1.17x+9.68 _5 3. Find the value of (1)-1024 (2)-8 (3) 1 (4) Simplify: 5x^24x 3 y 3 (l)20x 2 yv6xy (2)9x 2 yj$xy~ (3) I0xy^6x 2 y (4) 10x 2 yvoxy 4 5. Which of the following graphs shows no correlation between the variables? n H n i I I.) I I I I i (1) (2) (3) i i f 11 (4) 6. What is the exact value of sin 45? 1 V2 (1) (2)2 (3) (4) V3 7. If b 2-4ac = -9, the roots of the quadratic equation are (1) Real, rational and unequal (3) Real and irrational (2) Real, rational and equal (4) Imaginary 8. Which equation is equivalent to cos sin 2 0 = 1? (1) cot = csc 2 0 (3) 1 - sec 2 0 = tan 2 0 (2) 1 - sec 2 0 = tan 2 0 (4) 1 - csc 2 0 = cot 2 0 8

13 34 Test 4 9. Which of the diagrams below represents a sketch of 0 = 240 in standard position, and its reference angle labeled a? (2)^- 10. Perform the indicated operation and express the answer x 2 +7x-18 in simplest form?_x x 2 (1) x + 3 (2) x-2 3x (3) x + 9 3x (4,f data values are normally distributed with a mean of 120 and a standard deviation of 20. What percent of the values fall between 90 and 150? (1)38.2% (2)43.3%- (3)68.2% (4)86.6% 11 _ (3)-*- (4)^t 12. Factor completely: 3x 2 + 3x-60 (l)(3x-12)(x + 5) (3)(x- 4)(3x + 5) (2)3(x-4)(x+5) (4) 3(x 2-20) If sin A = and A is in quadrant II, what is the exact value of sin 2^4? (!> & C2)-m (3,i4t (4, The accompanying graph shows one cycle of a trigonometric function. Which equation best describes the graph? (1) y = -3cos2x (3)y = 2sin3x (2) y = -3sin2x (4)y = 2cos3x 15. A local pizza parlor offers 12 different toppings, pizzas could be created using 2 different toppings? (1) 132 (2) 66 (3)33 How many different (4) 6 15 Test The sequence 2, -2, -6, is an example of (1) a finite arithmetic sequence (3) a finite geometric sequence (2) an infinite arithmetic sequence (4) an infinite geometric sequence Find the value of sin 64 50' to the nearest thousandth. (1) (2)0.431 (3)0.903 (4) Which fraction is defined for all real numbers? x 2-1 x 2-1 x 2-1 x 2-1 (1)7 -i ( 2 )TTT (3) r- ( 4 )-r T (x- 1) x + 1 x l x l Suppose John draws a card from a standard deck of cards. What is the probability that he draws a heart or an ace? (D P)M (3)f. (4)g How many distinct triangles can be formed if AA = 30, side b = 12, and a = 8? (1)1 (2)2 (3)3 (4) The sum of the sequence -5, -2, 1,4, 7 can be represented as 0)i>-5 (2) j>-5 (3) -5 (4) j^3k *=0 A=0 *=0 *= Which of the following sets of ordered pairs does not belong to a function? (1) {(2, 0), (-3, 4), (0, 6)/(7, -8)} (3) {(0, 4), (6, -2), (3,4), (-8, 5)} (2) {(-2, 1), (-4, -2), (-6, 3), (-2, 5)} (4) {(5, 4), (3,2), (1, 0), (-1,-2)} 22_ 23. Evaluate: log log log s 216 (1) 6 (2) 7 (3) 13 (4) 10 23_ 24. If g(x) = x - 4 and h(x) = x\ then (g o h)(-2) is (1)216 (2)-216 (3) 12 (4)4 24_ 25. What are the solutions of this equation: 6x 3-6x = 5x 2? <»{ '-!} «{-!} C3){o.-, } ( 4, {»,,-!} * 26. Circle O has a diameter of 12 inches. What is the length of the arc 5TT intercepted by a central angle of -r-, to the nearest tenth of an inch? (1)4.6 (2) 6.3 (3) 15.7 (4) _ 27. The radius of the circle with equation x 2 +y x-10y + 57 = 0is (1)-1 (2)2 (3)V57 (4)

14 36 Test 4 Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. Test The population of Teenville is counted once a year on January 1. Teenvillehad a population of 5,280 on January 1, The population increases at a rate of 4% per year. During what year will the population double? (Use of the grid is optional.) 28. State a domain for Cos 9 that would make its inverse Cos -1 8 a function. Justify your answer. 29. Sketch and label angle 9 in standard position if Z9 = Simplify the following radical expression: == V5x In triangle ABC, side a = 10, b = 13, c 5. Find the measure of the greatest angle to the nearest degree.

15 38 Test Find the exact perimeter of a rectangle with a length of l and a width of 3 - V2. Express the answer in simplest radical form. ALGEBRA2/TRIGONOMETRY 39 Test 4 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 36. Solve this system of equations algebraically. Only an algebraic solution will be accepted. y = 3x y x + 9 x ~ If a fair coin is tossed ten times, find the probability that it lands heads 2 times at most. Round to the nearest tenth of a percent. 37. Simplify this expression: x 2 y- 2 wi -3 2 x y 2^. The variables are positive numbers 35. Solve this equation by completing the square, x 2 + Ax - 21 = The accompanying table shows the scores that 50 students received on their latest review quiz. Why? a) Find the following measures of central tendency. If necessary, round to the nearest tenth. The mean The median The mode b) Which measure of central tendency most accurately represents the set of data? Score Frequency

16 40 ALGEBRA 2/TRIGONOMETRY Test 4 Part IV ' Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. Solve for all values of 0, 0 < 0 < 360, that satisfy the equation sec = tan 6, to the nearest tenth of a degree. Test 5 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. What is the measure, in radians, of a central angle formed by cutting a circular pizza into twelve equal wedge shaped pieces? d)f (2)f (3)f (4)f 1 2. Which quadratic equation has roots that have a sum of-12 and a product of 32? (1) x 2-12x+32 = 0 (3)x 2 +12x + 32 = 0 (2) x 2-12x-32 = 0 (4)x 2 +12x-32 = 0 3. What is the exact value of the sec 9 if (5,2) is on the terminal side of 9 in standard position? 1 (»-f (2,^ (3,-^ (4)^ 4. Solve for x: 8 I+4 =16 3t r,, - (1)1 (2)2 (3){ (4) f 5. Solve: -% + l< 1 x 2 x-2 (1) (x< 1) or (x>2) (3)(l<x<2) (2) (x<-l) or (x>2) (4)(-2<x<-l) 6. If the roots of a quadratic equation are real, rational, and unequal, b 2 - Aac could equal (l)-9 (2)9 (3)3 (4)0 7. If a fair coin is tossed 8 times, what is the probability it lands heads up at least 6 times? Round to the nearest percent if necessary. (1)11% (2)14% (3)60% (4)75% 2 8. Simplify (8xV) 3 (l)ax 2 y 23 J7 (2)4/^/? (3)^64xV (4)^512x V 9. What is the quotient when (2 + 5/) is divided by (1 - z')? 7 + 7z" / (2)-3 Q) ^ (4)7

17 42 ALGEBRA 2/TRIGONOMETRY Test Art arid his friends go out for dinner. They want to split 3 appetizers. If the restaurant offers 14 appetizers, how many different combinations could they choose? (1)2,184 (2) 364 (3)42 (4) 8 10_ 11. Which expression is found when V~80x 4 is simplified? (1)-W5 (2) 16xW5 (3)4xW5 (4)-16x 2 V5-11_ 12. A container of liquid decreases continuously at a rate of 1.02% per day. If the weight of the liquid starts out at 50 grams, what will its weight, to the nearest tenth of a gram, be at the end of 19 days? (1)0 (2)6.5 (3)41.2 (4) _ 13. Which formula would give you the 15th term of the sequence 10, 5, 0, 5, n(a, +a n ) a(l-r") (1) \ " (2) X \_ r (3)a+(n-l)d (4)^"' 13_ 14. Evaluate: 8-2x + 12 x 2 4 x + 3x-18 (x + 3) (x-3) (x-3) (x + 2) Test Find all values of 0 < 0 < 360 that satisfy the equation 4 = 5-2 tan 8, to the nearest degree. (1) 27, 153, 207, 333 (2) 27, 153, Simplify: x-1 -x (2) x-1 (3) : x + 1 T (3) 27, 207 (4) 153, _ (4)- 22. Find the exact value of cot 0 if 8 is in standard position and (-7, 2) is on the terminal side of 0. (D- 3A/5 7 (2) 7V (3)-f (4) Which of the following, examples would require calculating a permutation? (1) Finding the arrangement of 7 people waiting in line at the bank (2) Choosing 3 candidates for a job in which 10 applied (3) Electing which 2 students in the group of 8 will give the project presentation (4) Choosing 3 ice cream toppings from a list of What is the 7th term for the sequence that follows the recursive rule a n+, = 2a n - 3 and given that a, = 20? (1)37 (2) 1,091 (3)547 (4) S 16. If sin 8=, the values of 8 in the interval 0 < 9 < 360 are (1) 60 and 120 (3) 120 and 300 (2) 120 and 240 (4) 240 and What is the sum of the coefficients in the expansion of (a + b) 5? (1)5 (2) 16 (3)32 (4) Perform the indicated operation and express your answer in simplest form: 2-^24 + 3^96 (l)2vl20 (2)16Vl2 (3)16^6 (4)5^ Solve this system of equations: x 2-4x-4=y 2x + y = 4 (1) (4,-2) ( 3 ) (-4,^), (2, 8) (2) (4,-4), (-2, 8) (4) (4, -2), (-4,8) 19. '1 24. Evaluate: 2 log 3 9) (1)0.25 (2)-0.4 (3)-l (4M 25. What is the domain of the function f (s) = ^(4 - x) + 3 (l)x>4 (2)x<7 (3) x < 4 (4) all reals 26. What is value of 8 and its reference angle, labeled a, that are sketched in this diagram? (1) 8= 120, a =60 (2) 8 = 240, a = 30 (3) 0 = -120, a = 60 (4) 0 = -120, a = Solve forx: x 2-4x + 2 = 0 (1) {2 + 2^/2,2-2^2} (2) {4 + V2,4-V2} (3) {2 + V2,2-^}

18 44 Test 5 Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. Test Sketch the graph of g(x) = \x - 3. Name three ordered pairs that belong to the function g(x) Find the partial sum of the following arithmetic series ^3^ + 2? k =5 29. Jessie purchased enough mulch to cover her square garden that has an area of 864 square feet. Find the length of one side of the garden. Express your answer in simplest radical form Simplify:?-^T.x*0,y*0 x y 30. The lifetime of a light bulb is normally distributed with a mean life of 1000 hours and a standard deviation of 30 hours. Find the probability that a randomly selected light bulb lasts longer than 1045 hours. 33. Evaluate: sin 200 cos 70 + cos 200 sin 70

19 46 ALGEBRA 2/TRIGONOMETRY Test A circle with a radius of 6 inches is inscribed in a square as shown below. If a dart is thrown inside the square, what is the probability that it lands inside the circle? Round to the nearest percent. 47 Test 5 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 36. Solve for x: logj(x - 4) + log 3 (x + 2) = State the domain that is needed for Tan x so that its inverse Arctan x is a function. Determine the range of Arctan x. x Find the inverse of f(x) = and evaluate f "'(4). 38. In triangle ABC, mza = 40 and mzb = 56. The longest side of the triangle is 36 cm. Find the length of the shortest side to the nearest tenth of a centimeter.

20 48 Tests Part IV Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. Perform the indicated operations and express the answer in simplest form. x 2 5x x 2 - x 12 x 2 8x + 16.= 2 x _9 5-x x-4 Test 6 Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question. 1. Time is running out when Mike is taking a multiple choice test so he guesses on the last 5 questions. Each question has 4 possible choices. What is the probability that Mike gets exactly 3 of these 5 questions correct? (1)100% (2) 60% (3) 10.4% (4) 8.8% 1 2. Identify the equation that has the amplitude of 2 and a phase shift 90 to the right. (1) y = 2sinx + 90 (3) v = 2 sin x - 90 (2) y = 2 sin (x + 90 ) (4) y = 2 sin (x - 90 ) 3. Which angle in radian measure corresponds to 300? 4. Simplify: ^ 7 ^ xy (2) (3)^ (4)f x*0,y*0 m *v,~ ~ y r^y ^x (x y ) y x y 5. If sec 9 = -4 and sin 9 < 0, find the exact value of cot (1)- (2)-y (3) (4)f 6. Which expression is equivalent to log log (1) log* 2158 (3)-log 4^ (2) 7 log2401-log243 (4)-l 7. A local restaurant offers 6 appetizers, 12 entrees, and 4 desserts. How many different meal combinations consisting of one appetizer, one entree, and one dessert could you order? (1)22 (2)72 (3)288 (4) 1, An equation that is equivalent to 1 + tan 2 9 = sec 2 9 is (1) 1 - sec 2 9 = - tan 2 9 (3) 1 - esc 2 9 = cot 2 8 (2) cos 2 0 = 1 + sin 2 9 (4) 1 = sec tan 2 9 I 9. Which expression shows [% - j 2 in simplest form? (1)TI (2) TT 2-2^3% + 3 (3) 7i 2-2TWJ + 3 (4)TT '

21 50 Test If the graph of a quadratic equation intersects the x axis at (2, 0) and (4, 0), the value of the discriminant could be (1)0 (2)2 (3)-3 (4)4 10_ 11. Solve for x: log 4 x - log 4 3 = log 4 15 (1)5 (2)12 (3)18 (4)45.' 11_ 12. Which expression shows the simplified form of i 3i? (1)-1 (2)i (3)1 (4)-/ Find the exact area of parallelogram ABCD if the sides are 20 and 24 and ZA = 60. (1) 120 (2)240 (3) 120^3 (4)240^3 13_ 14. Perform the indicated operation and x 2 y-j8x 2 y express your answer in simplest form. AAxy ( 1 ) 2x Jy x 2 y-j2x x 2 y*jx x 2 y-j2x ^7 { 2 ) ^ y - ( 3 ) ^ r ~ 15. How many ways could you arrange the letters in the word STATISTICS? (1) 1 (2)30 (3)50,400 (4)3,628,800 15_ 16. Which equation corresponds to a circle with a center (-4, 1) if an endpoint of diameter is (-6, 3)? (1) (x-4) 2 + (y+1) 2 = ^8 (3)(x-4) 2 + (y+1) 2 =8 (2) (x + 4) 2 + (y-l) 2 = V8 (4)(x + 4) 2 + (y-l) 2 = Rectangles ABCD and EFGHhave equal areas. If EF = ^AB, which of the following is true? (l)fg = 2BC (2)(AB)(GH) = (BQ(EH) (3) f = f^ W j = % 17_ 18. In AABC, a = 8, b = 9, and c = 10. What is the value of Cos C? Test At which values of 9,0 < 9 < 360, is tan 9 undefined? (1)0, 180, 360 (2) 0, 90, 270 (3) 90, 270 (4) 90, The common ratio in the geometric sequence 84,21,- (1)- ( 2 )- (3) Write this expression using exponents: ^jx y (l)xv (2)x 2 y 3 (3)x 2 >> 2 (4)-4 (4)(xyp ' 16'.. is What is the third term in the expansion of (cos x-1) 4? (1)6 cos 2 x (2) -6 cos 2 x (3) 4 cos x (4) -4 cos x 23 sec The expression tan 6 (l)sin9 (2) cos Which trigonometry function is represented by this graph? (1) f(x) = sin 2x (3)fix) = 2 sin ^ x (2)fix) = 2 sin x (1) f(x) = 42 \ sin x J C 26. Solve for x: x 2-4x - 1 = 0 (1) j ^ A ^ ^ } (3){-2 + VJ,-2-^} [2 + ^/22-^/2] r- r (2) ;, - (4) {2+V5,2-V5} 26 / (Dj (2)t <3) (4)^ 18_ 19. Which of the following examples would require calculating a combination? (1) Arranging the letters in the word ALGEBRA (2) Choosing which players out of the 9 on the baseball team will play 1st, 2nd, and 3rd base (3) Choosing 5 CD's out of your collection of 30 to bring with you on vacation (4) Determining who will sing, play piano, and play the guitar in the band from a group of 15 people who tried out Which of the following graphs shows a function? y y y A A (1)^5- *-x (3) *-x (4) y A 27

22 52 Test 6 Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. Test Find the values of b and c in the following equation if the roots of the equation are{-6,-l}: x 2 + bx+c = 0 ' 28. Find the difference, in standard a + hi form, when ( 1 + 3z") is subtracted from ( Use the grid provided to sketch the graph of Arccos x if Cos x has a domain of0<x<7t. 29. If f(z) = y/x + 2, sketch the graph of the transformation f(x) + 4. What are the minimum values of x andy of the transformed function? 32. What is the range of the function f(x) = 4 cos x in the interval 0 < x < 2JI?

23 54 Test If g(x) = - 4 and h(x) = x 3, then find (h g)(-2). 55 Test 6 Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. 36. Given: fix) = x 2 and g(x) = 3x + 1 a) The inverse of g(x) is a function, but the inverse of f(x) is not a function. Explain why this statement is true. 34." Use the laws of logarithms to rewrite this expression in simplest form: InQe 3 *) b) Find g"'(f(4)). 37. Solve for x: * + ~* 1 = x - 2x x - 2x 35. Solve the equation 2 cos x - 1 = 0 algebraically for all values of 6 in the interval 0 < 8< InA45C,mZ^! = 36,side/3 = 13 and side a = 8. What are the possible measures for Z.B to the nearest degreel

24 56 ALGEBRA 2/TRIGONOMETRY Test 6 Part IV Answer the question below. The correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. 39. The accompanying table shows average salaries based on years of education completed past 8th grade. a) Find the linear regression equation that best fits the data. If necessary, round to the nearest hundredth. Education past 8th grade Average Salary 2 years (10th grade) 21,268 4 years (high school graduate) 30,316 6 years (Associates) 36,348 8 years (Bachelors) 48,724 9 years (Masters) 58, years (Doctorate) 73,892 b) Based on this data, determine the average salary you would make if you completed 5 years of education past 8th grade. If necessary, round to the nearest dollar. c) Your friend says she makes $62,500 a year. Based on this data, approximately how many years of education past 8th grade has she completed? If necessary, round to the nearest year.

25 ITiTillWl Integrated Algebra 21 Trigonometry TEST 1 Parti : 15. ' For parts II, III, and IV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate. - appropriate work is shown, but one computational or rounding error is made " Part II cm (x-4) 2 + (j/ + 7) 2 = x>4 32. y 9(x) f(x) = 3x + 1 or any equivalent equation A NSWER Ke YS FOR GENTS XAMINATION ; 7^ , 150, 270 Part III Part TV Topical Review Book Company

26 TEST 2 Parti , For parts II, III, and IV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is made Part II 36. a = % or 350/ TEST 3 Parti For parts II, III, and IV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is made Part II 28. (D, B, F) (C, B, F) (D, B, S) (C, B, S) 3 2 cos 2 9 sin 2 9 _ 1 (D, R, F) (C, R, F) ' sin 2 0 sin 2 9 sin 2 9 (D, R, S) (C, R, S) cot = esc outcomes and -225 (Answers may vary) Yj 35-1 L \ '} ' :. L i % \ \ 1 (0. ()) i 1 (4. J \ \ 1 V, / ( V 2, Part III 36. a) 1.06 Use population because all of me hotels in the chain are included. b) y = 3 sinx 38. ^ Part TV 38. f(g(x))=x g(f(x))=x Therefore, g(x) and f(x) axe inverses Part IV

27 TEST 4 Parti For parts II, III, and IV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is made Partll < 6 < n The cosine function in this interval is a one-to-one function. 29. A o 270' 30. 5x % 35. {3,-7} 360 Partlll 36. x = 6 y=18 8/ 37 -" 3 2 X W 38. a) Mean = 80.3 Median = 81 Mode = 90 b) Median There are outliers and the mode is close to the highest number in the range. The median is the middle and best to use for this data. TEST 5 Parti ' For parts II, III, and IV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is made V % = {(3,0), (4, 1),(2, 1)} or answers may vary 32. Zj x % ye ^ ^ ft 35. < X < 36. {7} 37. f _1 (x): x-1-2 and f" 1 (4) = 3 Part II r \ / 1 \ Z S \ Part III Part TV , 135,243.4, 315 Part IV

28 TEST 6 Parti For parts II, III, and TV, partial credit should be given for answers that include, but not limited to, the following; - correct answer, but no work shown - incorrect answer, but rest of work is appropriate - appropriate work is shown, but one computational or rounding error is made ; 29. (-2, 4) A. x-«y Partn 31. = COS" 1 (x) i IT TT b = l,c= , <y< x + lri2 Partm 36. d) g(x) is a one-to-one function. f(x) is not a one-to-one function. A function must be one-to-one to have an inverse function. b)5 37. {-1,4} or 107 Part IV 39. a) y = x b) $35,303 c) 10 years