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Welcome to Pre-AP Chemistry! To better ensure that your child is placed in the correct science course, please have him/her answer the following questions and complete the math evaluation. 1. What science courses have you previously taken? Please state where they were taken. 2. What are your favorite classes (TPS, homeschool, public school, etc.)? 3. Do you want to pursue a science major in college? 4. What math course are you currently taking? 5. What is your current grade in math? 6. Do you plan on taking AP Chemistry? Chemistry Math Evaluation: You may use a calculator. I. Give the answer to these problems in scientific notation: 1. (5 x 107) (8.99 x 10-6) (4.2 x 104) = a. 1.89 x 107 b. 1.83 x 105 c. 1.89 x 10-4 d. 1.89 x 10-168 2. (1.5 x 10-7) / (3.007 x 10-5) = a. 1.51 x 10-2 b. 5.22 x 10-13 c. 4.99 x 10-3 d. 4.51 x 10-2 3. (3 x 107) / (8.44 x 10-6) = a. 3.56 x 1012 b. 3.55 x 1012 c. -5.44 x 10-42 d. 1.14 x 102 II. Solve these problems involving ratios, proportions, and percents: 4. In a certain classroom, the ratio of boys to girls is 4 to 7. If there are 35 girls in the class, then how many total students are there? a. 20 b. 55 c. 39 d. 12 5. The legend on a map says .5 inch represents 14 miles. How many inches are needed to represent 105 miles? a. 15” b. 3.75” c. 735” d. 245” 6. The ratio of red marbles to blue marbles is 5 to 7. If there are 156 marbles total, how many red marbles are there? a. 111 b. 218 c. 91 d. 65 7. What is 5 percent of 12? a. 6 b. 0.5 c. 0.6 d. 0.42 8. What percent of 35 is 16? a. 6% b. 22% c. 46 % d. 5% The table below is printed on the side of a box of pancake mix: Pancake Amount of Amount of s mix water 6 1 cup 3/4 cup 12 2 cups 1 1/2 cups 18 3 cups 2 1/4 cups 9. What quantities of mix and water should be used if we want to make 15 pancakes? a. 2 ½ cups mix, 5 cups water b. 2 ½ cups mix, 3 1/3 cups water c. 2 ½ cups mix, 1 7/8 cups water d. 2 ½ cups mix, 3 cups water 10. What quantities of mix and water should be used if we want to make 100 pancakes? a. 16 2/3 cups mix, 20 cups water b. 16 2/3 cups mix, 22 cups water c. 16 2/3 cups mix, 24 cups water d. 16 2/3 cups mix, 12 ½ cups water III. Solve these problems using conversion factors: 11. The exchange rate this week is 1 dollar for .85 euros. If I exchange 75 dollars, how many euros will I receive? a. 88.24 € b. 63.75 € c. 88.23 € d. 63 € 12. A roll of Christmas gift wrap is 2.5 meters long. What is the length of the paper in mm? a. 250 mm b. 2500 mm c. 25 mm d. 0.0025 mm Given that: 1 mi = 1.61x103 m, 1 day = 24 hr, 1 hr = 60 min 1 min = 60 sec, and 1 yr = 365 days 13. Convert 55 miles per hour to meters/second (m/s) a. 25 m/s b. 20 m/s c. 88550 m/s d. 123 m/s IV. Solve these problems involving multiplication and division of fractions: 14. What do you get when you multiply 1/2 and 3/7? a. 7/6 b. 14/3 c. 3/14 d. 6/7 15. What do you get when you divide 12/17 by 6/7? a. 1/5 b. 17/14 c. 14/17 d. 72/119 16. In simplest form, what do you get when you divide 81/21 by 27/49? a. 1/7 b. 72/343 c. 343/72 d. 7 V. Solve these problems for the variable requested: 17. Given: g - 1 = w; solve for: “g” a. g = w - 1 b. g = - w c. g = 1 + w d. g = 1 – w 18. Given: PV = nRT; solve for “R” a. R = PV / nT b. R = nT / PV c. R = PV - nT d. R = PVnT 19. Given: p = m / v solve for “m” a. m = p / v b. m = v / p c. m = p - v d. m = pv 20. Solve for x: 10 x + 15 < 25 + 5 x a. x > - 2 b. x < - 2 c. x > 2 d. x < 2 21. Solve for x: -2 x - 10 < 2 a. x > - 6 b. x < - 6 c. x > 6 d. x < 6 22. Find the equation of a line that has a slope of 3 and goes through the point (0, -5) 23. Find the equation of a line that is perpendicular to the x-axis and goes through the point (4, 8). 24. Find the product of (k + 7)(k - 4) 25. Factor ax2 - 16a 26. If Ann correctly factors an expression that is the difference of two perfect squares, her factors could be: a. (2x + y)(x - 2y) b. (2x + 3y)(2x - 3y) c. (x - 4)(x - 4) d. (2y - 5)(y - 5)