TEST: CHAPTERS 35-38 3a. f(x) = 916 - 3x3 + 33X4 - 1113 + 18x- - 6x Name: Divide using long division. 3b. f(x) = x5 - 64 12. (x]-7x' +4) : (x-1) Solve each exponential equation. Round your answer to two decimal places. 1b. (73 + 272 - 337 + 7) = (1 +7) 4a. 42+3 =1 4b. emi -5 =5 Divide using synthetic division. Solve each logarithmic equation. Round your answer to two decimal places. 2a, (x* + 2x' - 3x + 1) + (x +2) 5a. 7 10%% (x + 8) =7 5b. log, 16 = X 2b. (-8x4 + 36x3 + 14x3 + 25x + 25) = (x -5) State the possible number of positive and negative zeros for each function. Sketch the solution to each of the following systems of inequalities.6a. X- y=3 y2-5x + 3 7x- y=-3 V>-2 15 4 3 -2 -1 0 -5 - -3 -2 Solve the following systems of equations - state the method(s) used to 6b. solve. Ba. 4x + 2y = 10 Ixty>2 x - y = 13 2x- y>1 8b. 2x + 2y = -6 5x - 54 = -15 -s - # 3 2 -1 0 8c. y = -5 5x + 4y = -20 8d. x = 4y - 11 -3x + 42 = -7 y = -5x + 27 + 25 Solve the following system of equations by graphing. Write a system of equations to solve the following. Include the equations 7a. and all work.9. Ming and Carlos are selling cookie dough for a school fundraiser. Customers can buy Given the first term and the common difference, write the explicit formula packages of chocolate chip cookie dough and packages of gingerbread cookie dough. of the arithmetic sequence. Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread 12a. d1 = 35, d = 4 cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough. Given the first term and the common ratio, write the explicit formula of the geometric sequence. 13a. a = 6, r =-2 Determine whether each of the following sequences are arithmetic, Find the sum. geometric or neither. If arithmetic, state the common difference. If 14b. geometric, state the common ratio. 10a. 4, 13/3, 14/3, 5, 16/3, .. [ (7m - 2) 10b. -4, 12, -36, 108, -324 . 14C. 10c. 1, 3, 6, 10, 15, ... (-2 ) "- 1 1 = 1 10d. -29, -34, -39, -44 -49, .. Given the formula, find the first five terms and the 10th term of each sequence. 11a. an = -4 x 20-1 11b. an= 8 - 5n