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Honors Algebra 2 - Quarterly 3 Review 3 3 1.Solve the equation β11π₯ = 3 βπ₯ + 2 3. Write the expression necessary. 2. Solve the equation . in radical form, and simplify. Round to the nearest whole number if 4. Write the following with rational exponents and simplify if possible. a.) β64 3 9 b.) β7 5 c.) β5 5. Write a recursive rule for the sequence and find the first 5 terms of the sequence. an = 4(3 )n β 1 6. A sequence is: 2, 6, 18, 54,... Write an explicit rule for the number of reports in the nth week? 7. Sara collects rare coins. The first year she collects 15 coins. Her collection grows 8% more each year. How many coins does Sara have altogether after 20 years? 8. Tia invested $4000 investment at an annual interest rate of 3.5% compounded quarterly. How much money would be in the account for 15 years? 9. Write an exponential function to model: if the bald eagle population is 625 in the U.S. in 2005 and is decreasing at an annual rate of 4%. Then estimate the value of the function after 10 years. Round to the nearest whole number. 10. Create an exponential model from the table below. Months 1 2 3 4 Bird Population 63 226 907 2,826 11. Tell which type of function is shown in the table below. x y 3 36 4 39 5 44 6 51 7 60 8 71 10 84 12. Write the logarithmic function for the graph shown below if the parent function was y = log 5x. 13. What is the exponential form of ? 14.Which is the logarithmic form of ? 15. Express 16. Evaluate 18. Solve as a single logarithm. Simplify, if possible. . 17. Evaluate for x. 19. Solve . for x. 20. Find the values of the three trigonometric functions for the following right triangle. 14 48 ο± c SinΞΈ= 21. Draw an angle with CosΞΈ= TanΞΈ= in standard position. 22. Find the measures of a positive angle and a negative angle that are coterminal with . 23. Find the measure of the reference angle for 24. Convert . from radians to degrees. 25. For the following functions, name the parent function, list the transformation(s), graph the parent and the new function, state the domain and range of the new function. 3 A.) π¦ = βπ₯ + 2 β 4 B.) π¦ = 2(3)π₯+2 + 3 C.) π¦ = 2βπ₯ + 1 β 2