Semester Exam Review Answers

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Sandra Deborah Hunter
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1 1. increasing: 1.5 t 2 t.5 decreasing: 0 t t constant: 2 t 3.5 t 6 2. x r x x 6 6. Acceptable answers: 13/, 3.25 Unacceptable Grid in: 3 1/ P 2 1 W L or W P L or W P L H ACD B 9. x 10. x x x x A x C 18. x MCPS

2 19. 11x x6 or x 21. B A relation is a function if for every x-value (domain value, independent variable value), there is no more than one y-value (range value, dependent variable value). 23. D 2. The graph represents a function. Each x-value has no more than one corresponding y-value. 25. f ( 1) 26. f (5) 27. f (0) a. f () D 30. A b. f ( 2) gallons (Response could indicate a rate of change of 0. gals per second times 5 seconds for a total change of 2 gallons, 5+2 = 7. Response could indicate an equation G3.0 0.tand evaluating the function att 10. Response could indicate a continuation of the table.) The relationship is linear. (Response should indicate that as time increases by one second, that the number of gallons increases by a constant 0. gallons.) 32. Ahmed orders 11 rings. 33. Acceptable grid-ins are 7 or1.75. A grid in of 1 3/ is not acceptable 3. a. 0.6 psi per minute b. 16 minutes. The current pressure is 2.6 psi. The pressure can decrease by another 9.6 psi before the tire is unsafe to drive on. Since air is leaking at the rate of 0.6 psi per minute, it will take more minutes before the tire is unsafe. MCPS

3 35. The greater the value of the coefficient of x, which is the slope, the steeper the line y x 2 y x 1 3 y x y 37. C 3.67g 38. d 65t 39. a. S 12 S 1.2w or w 10 b. 18 centimeters 0. C 97.5A When C = 585, A = 6 ounces. 1. D t or D 7.5t 300 (Response should indicate how the numbers 7.5 and 300 were determined.) The runner is traveling at 7.5 yards per second. (Response should indicate a ratio of changes in D and t in some form.) 60 yards from the finish. (Possible responses could be evaluating the function at t = 32, or continuing the pattern in the table 2 120, 28 90, ) x y x y MCPS

4 . a. line k: y 2x 1 b. line m: y x 2 1 c. line n: y x 2 d. line p: y 2x 5. D 6. y 3x6 or 3x y 6 or 3x y 6 or y 6 3x y x or x2y 8 or x2y 8 or y3 x2 or y x y 2x or 2xy or y 2x 9. y 3x11 or y 113x or 3x y 11 or 3x y C n $1.50 (response should indicate substitution into the equation or state verbally add 3 times $1.50 plus $10.00 ) 1 nights (response could indicate solving the equation n, or could indicate dividing $21.00 by $1.50) y x 2 1 y x The x-intercept is 10. The student can extend the table, write the equation for the line 3 y x15 or graph the points The y-intercept is 15. The student can extend the table, write the equation for the line 3 y x15 or graph the points $20 Response could indicate using the rate of change of $30 per year or continuing the pattern: years Response could indicate a continuation of the pattern: 6 $60, 7 $30, 8 $0. MCPS

5 56. Jay s uncle gives him an additional 15 cards each year. Jay s father gave him 0 cards to start. 57. The delivery charge is $ a n b n c. 22 weeks n n and solve for n d. Answers may vary: Kent will save $350 first. Possible explanations: At n = 22 weeks, Both Larry and Kent will have saved $26.00 and since Kent is saving at a faster rate, he will get to $350 first. By solving n 350, it will take Larry 30 weeks to save $350. By solving n 350, it will take Kent 28 weeks to save $ gallons per minute, the bathtub is draining at the rate of 15 gallons per minute. The x-intercept represents the number of minutes required to drain the tub. The y- intercept represents how many gallons of water were in the tub when the tub started draining. y x or y 15x The calculator gives a line of fit as y x Accept slope values between 3 and 5 and intercepts between 25 and 30. The y-intercept gives the number of seconds Jan could hold her breath swimming underwater before the swimming class started. The rate of change is seconds per week (or student s slope number). Using the calculator equation results in seconds in the 12 th week of class. Accept correct responses based on the equation given in the first part. Using the calculator equation results in weeks. Accept correct responses based on the equation given in the first answer. Accept 18 weeks. MCPS

6 61. Study Time and Scores Score Study Time The calculator gives a line of fit of y.98x Accept slope values between 0.5 and 1.5 and y-intercept values between 15 and 25. Using the calculator equation y(7) Accept responses that are correct based on the students equation in the previous part c 7.75 c A 6. If the slopes are the same but the y-intercepts are different, the two lines are parallel. If the slopes and y-intercepts are the same, the lines intersect at an infinite number of points. If the slopes of the graphs are different, the lines intersect at exactly one point. 65. The graphs are parallel lines and the system has no solutions. 66. The graphs intersect in one point and the system has exactly one solution. 67. The graphs are the same lines. The lines intersect in an infinite number of points and the system has an infinite number of solutions. 68., , 3 MCPS

7 70. x y x2y 95 x 10, y 0 (Response should indicate the method used to solve the system) 10 boxes of M&M s, 0 boxes of Reese s. 71. Let x represent the number of hours to fix the brakes x 70 0x x.5 hours 72. One grid line equals one unit. y x 73. One grid line equals one unit. y x 7. B MCPS

8 75. a. b. x y12 15x10y200 Number of tees (y) The shaded area represents the solution to the system of inequalities. c. Many possibilities including: 6 sundresses and 1 tee 3 sundresses and 5 tees 1 sundress and 8 tees 10 tees Number of sundresses (x) MCPS

Semester Exam Review Answers

Semester Exam Review Answers 1. C 2. x 36 3. r 12. x 3 5. 17 x 1.16666 12 6. x 6 7. 8. 9. 2x3 5x6 2(3) 3 9 3x 9 or 5(3) 6 9 x 3 Student should grid 9 12 2L W 2 or W 6L or W L 6 A C H B 10. x 11. x 1 12. x 11 11 1 13. 20 x 30 1. 15.