MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and hours to fire. A platter takes 1 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the workshop has 9 hours for prep time, 83 hours for painting, and 8 hours for firing, how man of each can be made? 1) A) 6 serving bowls, platters, 4 bread baskets B) 4 serving bowls, 6 platters, bread baskets C) serving bowls, 4 platters, 6 bread baskets 7 serving bowls, 6 platters, bread baskets Determine if the given ordered triple is a solution of the sstem. 2) (0, 4, -2) - + z = z = z = 6 2) A) not a solution B) solution Solve the sstem b the substitution method. 3) 2 = = 3 3) A) {(-8, -)} B) {(-8, )} C) {(8, -)} {(8, )} 4) A real estate investor is eamining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 8 more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the measure of each angle. (Note: The sum of the angles of a triangle is 180.) 4) A) First angle is 40, second angle is 1, third angle is 30 B) First angle is 34, second angle is 8, third angle is 34 C) First angle is 36, second angle is 8, third angle is 36 First angle is 42, second angle is 4, third angle is 34 1

2 Solve the sstem b the method of our choice. Identif sstems with no solution and sstems with infinitel man solutions, using set notation to epress their solution sets. ) = ) - 4 = -8 A) {(-8, 0)} B) {(0, 2)} C) {(, ) - 4 = -8} Solve the sstem b the substitution method. 6) = = 4 6) A) {(7, -7), (-3, 3)} B) - 1 7, -7, 1 3, 3 C) -7, - 1 7, 3, , 3 7) Steve invests in a circus production. The cost includes an overhead of $4,000, plus production costs of $6000 per performance. A sold-out performance brings in $11,000. Determine the dollar amount coming in and going out at the break-even point. 7) A) $4,000 B) $99,000 C) $9 $29,118 Write the partial fraction decomposition of the rational epression. 8) ( + 2)( + 1)2 A) C) ( + 1) ( + 1)2 B) ( + 1) ( + 1)2 8) An objective function and a sstem of linear inequalities representing constraints are given. Graph the sstem of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maimum value of the objective function and the values of and for which the maimum occurs. 9) Objective Function z = - 23 Constraints ) A) Maimum: -2.; at (1.2, ) B) Maimum: 0; at (0, 0) C) Maimum: 0; at (, 0) Maimum: -138; at (0, 6) 2

3 ) A store sells tents, sleeping bags, and camp stools. A customer bus a tent, 3 sleeping bags, and camp stools for $220. The price of the tent is 9 times the cost of a camp stool. The cost of a sleeping bag is $4 more than the cost of a camp stool. Find the cost of each item. ) A) $4 for a tent; $ for a sleeping bag; $ for a camp stool B) $4 for a tent; $0 for a sleeping bag; $6 for a camp stool C) $4 for a tent; $0 for a sleeping bag; $6 for a camp stool $4 for a tent; $0 for a sleeping bag; $ for a camp stool Solve the sstem b the addition method. 11) = = 36 A) {(0, 6), (0, - 6)} B) {( 6, 0), (- 6, 0)} C) {(6, 0), (-6, 0)} {(0, 6), (0, -6)} 11) 12) 2-2 = = 36 A) {(0, 3), (0, -3)} B) {(3, 0), (-3, 0)} C) {(0, 2), (0, -2)} {(2, 0), (-2, 0)} 12) Graph the solution set of the sstem of inequalities or indicate that the sstem has no solution. 13) < ) A) B)

4 C) Solve the sstem b the addition method. 14) + 8 = = 71 14) A) {(-2, 1)} B) {(-1, 8)} C) {(-1, )} {(1, -2)} Determine if the given ordered triple is a solution of the sstem. 1) (2, -3, ) + + z = z = z = 12 1) A) not a solution B) solution 4

5 Graph the inequalit. 16) ) A) B) C) ) A person at the top of a 600 foot tall building drops a ellow ball. The height of the ellow ball is given b the equation h = -16t where h is measured in feet and t is the number of seconds since the ellow ball was dropped. A second person, in the same building but on a lower floor that is 04 feet from the ground, drops a white ball 2 seconds after the ellow ball was dropped. The height of the white ball is given b the equation h = -16(t - 2) where h is measured in feet and t is the number of seconds since the ellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance. A) 2 seconds; 36 feet B) 2. seconds; 00 feet C) 1. seconds; 64 feet 3 seconds; 46 feet 17)

6 Solve the sstem b the addition method. 18) = = 0 A) {(2, 1), (-2, -1)} B) {(-1, 2), (1, -2)} C) {(2, 1), (2, -1), (-2, 1), (-2, -1)} {(1, 2), (-1, 2), (1, -2), (-1, -2)} 18) 19) A steel compan produces two tpes of machine dies, part A and part B. The compan makes a $3.00 profit on each part A that it produces and a $6.00 profit on each part B that it produces. Let = the number of part A produced in a week and = the number of part B produced in a week. Write the objective function that describes the total weekl profit. 19) A) z = B) z = 9( + ) C) z =3( - 6) + 6( - 3) z = Solve the sstem of equations. 20) z = 3( - 4) 2( z) = -24-4(2 + ) + 4z = -32 A) {(4, -16, 4)} B) {(4, 8, 8)} C) {(4, 12, 4)} {(4, 4, 4)} 20) Let represent one number and let represent the other number. Use the given conditions to write a sstem of nonlinear equations. Solve the sstem and find the numbers. 21) The sum of two numbers is 4 and their product is -. Find the numbers. A) - and 1 B) and -1; - and 1 C) and -1 and 1; - and -1 21) 6

7 Answer Ke Testname: CHAPTER 7 1) A 2) B 3) D 4) C ) C 6) B 7) B 8) D 9) C ) D 11) B 12) D 13) A 14) D 1) B 16) C 17) B 18) C 19) A 20) D 21) C 7

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Pre Calculus Spring Final Exam REVIEW Pre Calculus Spring Final Eam REVIEW Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. ) B = 43 C = 7 b = 4 Two sides and an angle (SSA) of a triangle are