Honors Algebra 2 B Semester Exam Review

Transcription

1 Honors Algebra B Honors Algebra B Semester Exam Review Answers

2 Honors Algebra B Unit, Topic 3. a. y x y x. a. b. 3. a. LCM = x3 x 4. Solution is x 9 b. LCM = xx Solutions are x, x, with both being extraneous. Function x Function gx x x Even, odd, or neither Odd Even Domain All real numbers but 0 All real numbers but 0 Range All real numbers but 0 All positive real numbers End behavior as x x 0 gx 0 End behavior as x x 0 gx 0

3 Honors Algebra B 5. a. 5 hours b. inversely c. H 5 n d hours 6. H 00 s 7. a. Method or Method x 3 x 3 x3 x3 x 6 x 3 x 7 x 3 x 3x7 x 6 x 3 b. Vertical asymptote is x 3. Horizontal asymptote is y. 8. a. Method or Method 5 x 4 5x 4 x4 x4 5x 0 x 4 5x x 4 5 x 45x 5x 0 5 x 4 b. Vertical asymptote is x 4. Horizontal asymptote is y 5.

4 Honors Algebra B 9. a. b $3 50 6x x 50 6x x 5x 50 x 50cakes 0. a. b $ x 8.75 x 500 8x8.75 x 500 8x8.75x x x 50 ruitcakes

5 Honors Algebra B Unit 3. Values o x and y Quadrant o the Angle Sign o sin Sign o cos x is positive, y is positive Positive Positive x is positive, y is negative 4 Negative Positive x is negative, y is positive Positive Negative x is negative, y is negative 3 Negative Negative. a. b. sin 5 3 sin 7 cos 3 cos 4 7 tan 5 tan o 66.0 o All statements should be selected. 5. a. b. RF c. OF or or or.396units d. RF OF e. 00 o or 440 o (or any integer multiples o 360 o added to or subtracted rom these). 80 o or 440 o (or any integer multiples o 360 o added to or subtracted rom these) 6. a. Amplitude: 0, Period: 8, Equation o midline: y 30 b. Amplitude: 8, Period:, Equation o midline: y 0

6 Honors Algebra B 7. a. 3cos g x b. hx x c. kx x cos 4 6 cos x 7 cos d. p x x 8. a. 9.6 eet b eet c. 8.5 eet 0 5sin o d. 9. a..6 eet b. 7.0 eet c. 8.5 eet d. Since one complete circle takes 36 seconds, the pony rotates 0 degrees per second. Since we want to know where the pony is was 3 seconds, there is a 30 o 0 5sin degree rotation, so 0. d t

7 Honors Algebra B. Amplitude: 5, Period: 36, Equation o midline: y 0 d 0 5sin 0 t or d 0 5sin t 8 o. 3. a. This is not a good idea. There is no explanation as to what was done, and there are only 5 values in the table ; 4 0 b. d d c. All positive real numbers d. I the table were used, I d have to continue the table until I got to.6 lux, or keep measuring using my device until I got.6 lux, then measure the distance. 4. Recursive model: 30 I the ormula were used, I would solve the equation.6. It looks like a d simple equation to solve. I would probably do this. I the graph were used, I would go up the y-axis to.6, then go across until I ound the corresponding x-value on the graph. It would be hard to do on this graph due to its scale. () The recursive model is appropriate. Explicit model: The explicit model is appropriate

8 Honors Algebra B 5. a. sine (or cosine) and exponential b. sine (or cosine) and quadratic 6. a. Some type o trig unction (sine or cosine). The data appear to be periodic. b. This is not a good model. When I tried to evaluate it at x 0, I got 40, not 0. I I replace sin with cos it will work. (There are other possibilities.) 7.

9 Honors Algebra B Unit a. R B b. R B c. R B d. R B

10 Honors Algebra B 30. a. b. c. d. e.. g % % % % % % % h % 80 0 i. Yes they are independent. The probability that a person likes hockey is the same P H M 0.7 P H F 3. a. 50% b. 60% c. 8% d. 8% whether the person is male or emale. e. 8% % 50% 50. g. 8% 8% % 40% % %

11 Honors Algebra B % a. 68% b..5% c % d. 6% 4 4 e. I I compute a z-score or 4 days, I get z 5, meaning that this insect s lie span is 5 standard deviations above the mean. This would be quite unusual. 36. a. greater b. greater 37. All should be selected. 38. z-scores should be computed or each store and compared. Goldie s Store: z.5 Ahmed s Store: Ahmed s sales were two standard deviations above the mean sales or New York, while Goldie s sales were.5 standard deviations above the mean sales or Milwaukee. Ahmed s store should get the reward. 39. z-scores should be computed or each store and compared. Jose s Store: z Jamal s Store: Jose s sales were about standard deviations below the mean or New York stores, while Jamal s sales were 3.95 standard deviations below the mean or Seattle stores. The manager o Jamal s store should be ired. 40. a. 9 b. 3