Mathematics – Calculator Permitted 1) 40𝑑 + 0.75𝑚 = 352 Josie spent $352 to rent a boat for skiing. The equation above shows the relationship between the number of days she rented the boat, d, and the number of miles she drove the boat, m. If she rented the boat for 4 days, how many miles did she drive the boat? 7𝑥 + 3𝑦 = 8 6𝑥 − 3𝑦 = 5 2) For the solution (𝑥, 𝑦) to the system of equations above, what is the value of 𝑥 − 𝑦? A. 88 B. B. 197 C. C. 256 D. D. 421 3) 4 A. − 3 2 3 4 3 22 3 𝑓(𝑥) = 4) If 20 − 𝑥 = 15, what is the value of 3𝑥? 2 For the function 𝑓 defined above, what is the value of 𝑓(−1)? A. 5 A. -2 B. 10 B. -1 C. 15 C. 1 D. 35 5) 𝑥+3 D. 2 ℎ(𝑥) = 2𝑥 6) Which of the following is equivalent to 2𝑥(𝑥 2 − 3𝑥)? The function ℎ is defined above. What is ℎ(5) − ℎ(3)? A. −4𝑥 2 B. 3𝑥 3 − 𝑥 2 A. 2 C. 2𝑥 3 − 3𝑥 B. 4 D. 2𝑥 3 − 6𝑥 2 C. 24 D. 28 2.4𝑥 − 1.5𝑦 = 0.3 1.6𝑥 + 0.5𝑦 = −1.3 7) 8) In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect? The system of equation above is graphed in the xy-plane. What is the x-coordinate of the intersection point (𝑥, 𝑦) of the system? A. −0.5 A. 150 B. 200 C. 250 D. 300 B. −0.25 C. 0.8 D. 1.75 A. Mathematics – Calculator Permitted 9) 10) ℎ = −16𝑡 2 + 𝑣𝑡 + 𝑘 The equation above gives the height ℎ, in feet, of a ball 𝑡 seconds after it is thrown straight up with an initial speed of 𝑣 feet per second from a height of 𝑘 feet. Which of the following gives 𝑣 in terms of ℎ, 𝑡, 𝑎𝑛𝑑 𝑘? A. 𝑣 = ℎ + 𝑘 − 16𝑡 B. 𝑣 = C. 𝑣 = D. 𝑣 = ℎ−𝑘+16 𝑡 ℎ+𝑘 𝑡 ℎ−𝑘 𝑡 − 16𝑡 + 16𝑡 Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A, B, and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0, 2, 4, 6, and 8 weeks after initial treatment. Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment? A. 2 to 5 B. 1 to 4 C. 3 to 5 D. 1 to 2 11) 12) 4 1 The line with the equation 𝑥 + 𝑦 = 1 is graphed in the 𝑥𝑦5 3 plane. What is the 𝑥-coordinate of the 𝑥-intercept of the line? 2(5𝑥 − 20) − (15 + 8𝑥) = 7 What value of 𝑥 satisfies the equation above?