MAT 135In Class AssignmentsFall 2009MAT135In-Class Assignment2MAT135In-Class AssignmentIntroduction to Set Notation3MAT135In-Class AssignmentIntroduction to Set Notation (continued)1. List the elements in each set:a. { | is a natural number and 5}A x x x= <b. { | is an odd whole number and 11}B x x x= <c. { | is an integer and 5}C x x x= <2. Find the union of the sets:a. {1,3,7,8} {2,3,8}�b. {1,3,7} {2,4,8}�c. { , , , } { , , , }r e a l e a s y�4MAT135In-Class AssignmentIntroduction to Set Notation (continued)3. Find the intersection of the sets:a. {1,2,3,4} {2,4,5}�b. {1,3,7} {2,4,8}�c. { , , } { , , }w h y h o w�4. Let {1,2,3, 4,5,6} {2,4,6,9,11,12}A B= =. Are the following statements true or false?a. 6 A�b. 6 B�c. {2,4,6}A B� =d. 6 A B� �e. A B� =�f. {1,2,3,4,5,6,9,11,12}A B� =g. 12 A�h. 5 A�i. 9 B�j. 8 B�5. Write the following in set-builder notation:a. {1,2,3,4}A =b. { 4, 3, 2, 1,0}A = - - - -5MAT135In-Class Assignment6MAT135In-Class AssignmentSection 2.1 Solving Linear Equations1. Solve the following equations:5) 4 8 3 7 ) 3 23 3 1 1 1 5)7 3( 2) 4( 1) ) 2 4 3 4 ) (3 2) 26 )2 3(3 5) 6a a a b tc x x d x xe x x f x x- - =- + - + =+ + = - + = ++ + = - - =-2. The taxi meter was invented in 1891 by Wilhelm Bruhn. Chicago charges $1.80 plus$0.40 per mile for a taxi ride.a) If the fare is $6.60, write an equation that shows how the fare is calculated.b) How many miles were traveled if the fare was $6.60?3. In 1992, twice as many people visited their doctor because of a cough than an earache.The total number of doctor’s visits for these two ailments was reported to be 45 million.a) Let x represent the number of earaches reported in 1992. Write an expression for thenumber of coughs reported in 1992.b) Write an equation that relates 45 million to the variable x.c) How many people visited their doctor in 1992 to report an earache?7MAT135In-Class AssignmentSection 2.2 Formulas and Function1. Solving for a VariableAlthough you can’t print most of these out without signing up at the site, there are some useful presentations to help with this topic.http://www2.guhsd.net/algebra2/Alg2Show/Chapter01/1_5LiteralEquations.htmhttp://www.slideshare.net/crainsberg/solving-literal-equationshttp://www.scribd.com/doc/6932127/Algebra-1-Notes-YORKCOUNTY-FINAL-Unit-3-Lesson8-Solving-Literal-Equations2. For each formula, express y as a function of x, then find y given that2x =.a. 3 6x y+ =b. 4 5 10x y+ =c. 143x y+ =d. 2 8x y- =3. Solve for the indicated variable:a. for p q rs t r- = +b. ( ) for x u v r y v- + =c. 2( ) for P l w w= +d. 1 2 1( ) for A s r r rp= + (Lateral area of a frustrum) e. 1 2 11( ) for 2A h b b b= + (Area of a trapezoid) 8MAT135In-Class AssignmentSection 2.3 ApplicationsChoose the equation that best describes the situation.1.2. 3.4.5.9MAT135In-Class AssignmentSection 2.3 Applications (continued)6.7.8.9.10.You may also want to view http://www.slideshare.net/ejboggs/translating-algebra10MAT135In-Class AssignmentSection 2.4 Inequalities1. Solve the inequalities, graph each solution, and write the solution in interval notation:1) y>4 ) 12 2 3 1)5 115 )10 y 36 2 )2(3 1) 10 )1 3 4(3 1)a b xc x de x f a- ��- - �+ �- < - -2. A store selling art supplies finds that x sketch pads are sold each week at a price of pdollars each according to the formula x=900-300p. What price should they charge if theywant to sell:a) at least 300 pads each week?b) fewer than 525 pads each week?c) more than 600 pads each week?d) at most 375 pads each week?3. Solve these problems.a. 2 3 2( 4)x x+ > -b. 4 3x x- < -c. 6 4 4 7x x- <- +d. ( ) ( )2 4 5 4 2 1x x- � -11MAT135In-Class AssignmentSection 2.5 Compound Inequalities1. Solve the following inequalities. Use a line graph and interval notation to write each solution set.) 60 20 20 60 )7 5 2 or 3 2 3 1 2)5 +1<9 )8 12 and >1 4 3 )3 1 2 4 or 5 2 3 4 a a b x xc x d x xe x x x x- < + < - �- + >< � - -- > + - < + ) 2 5 2f m- � - � 2. A factory’s quality control department randomly selects a sample of 5 lightbulbs to test.In order to meet quality control standards, the lightbulbs in the sample must last an averageof at least 950 hours. Four of the selected bulbs lasted 925 hours, 1000 hours, 950 hours,and 900 hours. How many hours must the fifth lightbulb last for the sample to meet qualitycontrol standards?3. A worker earns $12 per hour plus $16 overtime pay for every hour over 40 hours. Howmany hours of overtime are needed to make between $600 and $800 per week?4. Write each union or intersection as a single interval, if possible..(6, ) (8, ) .( 6, ) ( 8, ).(6,10) (4,12) .[ 5, ) ( , 8]a bc d�ȥ-��-�� - � � - �-12MAT135In-Class AssignmentSection 2.6 Absolute Value Equations and InequalitiesSome tutorials:http://www2.bc.cc.ca.us/mperrone/LECTURES_PDF/Ch4/Microsoft%20PowerPoint%20-%20bia5e_ppt_4_3.pdfhttp://www.purplemath.com/modules/absineq.htm1. Solve: 2 2 2 3 13x- - - =.a. {-5} b. {3 } c. {-5 , 3} d. no solutions 2. Find all real solutions: 1 2 1x x- = +.a. {-2 } b. {-2 , 0} c. {0} d. no solutions 3. Find all real solutions: 3 3 18.x - =a. 3x =b. 3, 9x x= =-c. 9, 3x x= =-d. �4. Find all real solutions to the equation. 1 42 2x + =- -.a. -4 b. no solutions c. 4 d. all real numbers 5. Solve the inequality: 2 43 4x- +- �.a. (- �, 7/3) b. (7/3 , �) c. (-7/3 , 7/3) d. �6. Solve the inequality: 1 2x - �.a. [3 , �) b. ( - � , -1] U [3 , �) c. (-� , -1] d. (-� , �)13MAT135In-Class AssignmentSection 2.6 Absolute Value Equations and Inequalities(continued)7. Solve the inequality: 8 8x - <.a. [0,16]b. ( - � , 0) U (16 , �) c. (0,16) d. �8. Find all real solutions to the equation with absolute value.8 3 137x - =--.a. 3 9,8 8� �- -� ��b. 38� �-� ��c. 9 3,8 8� �� ��d. �9. Solve the inequality: 13 52x-+ �.a. [ 2,6]-b. ( - � , -2] U (6 , �) c. [ 6, 2]- -d. ( - � , -6] U (2 , �)10. Solve the inequality: 11 33113x +<.a. ( 6,6)-b. ( - � , -6) U (6 , �) c. ( 6,0)-d. ( - � , -6) U (0 , �)For more problems and answers: http://www.analyzemath.com/AbsEqIneq/AbsEqIneq.html14MAT135In-Class AssignmentSection 3.1 The Coordinate Plane1. The x-axis on the graph below