3. A boat that costs $4000 decreases in value by 17% per year. How much will the boat be worth after 6 years?

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1 Algebra Stud Guide 1. Write a recursive formula for the sequence.,, 50, 50,.... Given that u = 3, u = 1, and u = 5u + u where n 3, what is the fifth term of the sequence? [A] 57 [B] 63 [C] 307 [D] n n 1 n 3. A boat that costs $4000 decreases in value b 17% per ear. How much will the boat be worth after 6 ears? 4. A bacteria culture grows continuousl from 1,000 to 4,000 bacteria in 5 hours. At this rate, how long will it take for the population to grow from 1,000 to 1,000,000 bacteria? 5. Write the intercept form of the line 4x 6 8 = Consider the sequence u = 0 u = u where n 1 n n 1 Which is the equation of the line that contains these points? [A] = x [B] = 1 [C] = x x [D] x = 7. The table shows the cumulative amount of rainfall collected during an experiment. a. Make a scatter plot of the data. b. Draw a line of fit for the data. Da Rainfall (cm)

2 Algebra Stud Guide 8. Find the point x, R S T = 3x + 3 = 4x b g b g b g b g [A] 3, 6 [B] 4, 16 [C] 3, 1 [D] 1, 6 b g where the pair of lines intersect. Use elimination to solve the sstem of equations. R S 9. 4x + 5 = 19 T 9x = 43 Use elimination to solve the sstem of equations. R S T F 11 I, HG K J. 4x + 3 = 1 [A] x 4 = [B] [C] F 14 I, HG K J F 7I, HG K J [D] No solution 11. Graph. 1 = x

3 Algebra Stud Guide [A] x [B] x [C] x [D] x b gb gb g 1. Consider the relation defined b the set of points m, 4,, 1, 1, 6r. Is the relation a function?

4 Algebra Stud Guide 13. Determine which relation is a function. [A] x [B] x [C] x [D] x

5 Algebra Stud Guide 14. If the line = 19. x + 15 is moved 8 units up and 6 units right, find the -intercept of the resulting line. [A] [B] [C] 116. [D] The graph of the function = x is translated left 7 units. Write the equation of the resulting graph. 16. Let fbg x = x. The graph of fbg x is translated down 8 units and right 7 units. Identif the function corresponding to the translation. [A] fbg x = bx 7g + 8 [B] fbg x = bx 7g 8 [C] fbg x = bx + 7g + 8 [D] fbg x = bx + 7g Graph. = x 5 [A] x

6 Algebra Stud Guide [B] x [C] x [D] x 18. Suppose ou borrow mone to bu a car and ou make equal monthl paments at the end of each month to repa the loan. The function Abg x = 1. x 66 gives the balance of the loan. In the equation x represents the balance and Abg x represents the next balance. Write an expression to find the loan balance after three monthl paments, if the starting balance is $15,316? Answer each question and show all work clearl on a separate piece of paper. x 19. If fbg x = + 3, g x x a. fcgb gh b. hcgbg 5h bg =, and hbg x bx g =, find each value. c. gc fbg xh

7 Algebra Stud Guide 0. Solve for. F I x 1 HG 1 K J F + I + HG 4 K J = 1 1. Solve for x. x + 5 = 6. Use the distributive propert to expand the expression. Write the answer using onl positive exponents. 0 x z 3 w F HG w z w xz + 3 z z Which expression is equivalent to 45 G b I KJ F G H I J KJ? [A] 49 9 b [B] 47 4 b [C] 4 4 b [D] b 4. Vaughn invested $,000 for 5 ears at 5% interest, compounded annuall. Plot a graph with the time, in ears, along the horizontal axis and the amount, in dollars, along the vertical axis. 5. You took out a simple interest loan to help pa for a vacation in Europe. You borrowed $750 at 1.5% interest per month. If ou don t make an paments, at the end of six months how much do ou owe to the bank? 6. The commissions of the sales associates at a car dealership for the month of April are listed below.

8 Algebra Stud Guide $450 $500 $700 $1, 00 $700 $850 $850 $900 $1, 000 $700 Would ou use the mean, median, or mode to make the commission earned seem the highest? Give that measure and explain wh ou would use it. 7. Determine the slope of the line that passes through the pair of points. Round to the nearest hundredth. 59., 33., 1.9, 8. 6 b gb g [A] [B] 133. [C] [D] Use the terms linear or nonlinear and increasing, decreasing, or constant to describe the graph. d e [A] Linear, decreasing [B] Linear, increasing [C] Constant, decreasing [D] Constant, increasing

9 Algebra Stud Guide 9. The data are from an experiment in which a small ball is shot upward at an angle. Find an equation that fits the data over this domain. Time s Height m Time s Height m bg b g bg b g x x b g b g? 30. What is the center of the unit circle whose equation is x = 1

10 Algebra Stud Guide [1] u1 =, un = 5F Hu I n 1K where n [] [C] [3] $ [4] 8.39 h 4 [5] = x 3 3 [6] [A] [7] Possible answer: Rainfall (cm) Da [8] [C] b g [9] 4, 7 [] [C] [11] [B] [1] No [13] [C]

11 Algebra Stud Guide [14] [C] [15] = bx + 7g [16] [B] [17] [A] d cb ghi [18] A A A cb gh cbgh = x x x cbgh F I 8 = + HG K J = [19] a. f g = 3 b. h g c. g f x [0] = ± 1 1 bx + 1g 4 8 [1] x = 7 or x = 17 [] xz 5 w x + w 3 [3] [C]

12 Algebra Stud Guide [4] Amount (dollars) 13,000 1,000 11,000,000 Amount of a $,000 investment (5% simple interest per ear) Time (ears) [5] $806.5 [6] The mean of 785; It is the greatest. [7] [B] [8] [B] [9] Possible answer: = 9. 4x x [30] b 9, 6g