SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
|
|
- Cody Wilkerson
- 5 years ago
- Views:
Transcription
1 Math 132 Eam 2 Review (.1 -.5, ) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the given ordered set of numbers is a solution of the sstem of equations. 1) (3, -3) + = = -3 1) 2) (-3, -2, -) z = 3 + z = z = -1 2) Solve the sstem of two equations in two variables. 3) + = = 21 3) ) 3-2 = = 1 ) 5) = = 20 5) Multipl both sides of each equation b a common denominator to eliminate the fractions. Then solve the sstem. ) = 7 ) = Solve the problem b writing and solving a suitable sstem of equations. 7) A shopkeeper orders 2 pounds of cashews and peanuts. If the amount of cashews he orders is 2 pounds less than the amount of peanuts, how man pounds of peanuts did he order? 7) Solve the sstem b back substitution. 8) z = z = -0 2z = - 8) Solve the sstem of equations. If the sstem is dependent, epress solutions in terms of the parameter z. 9) + + z = -7 9) - + z = z = -19 Perform row operations on the augmented matri as far as necessar to determine whether the sstem is independent, dependent, or inconsistent. ) - + z = 2 ) z = z = -3 1
2 11) + + z = z = z = 11) Write an augmented matri for the sstem of equations. 12) 3 + 9z = z = z = 7 12) Write the sstem of equations associated with the augmented matri. Do not solve. 0-13) ) The reduced row echelon form of the augmented matri of a sstem of equations is given. Find the solutions of the sstem. 1) 1) Solve the problem b writing and solving a suitable sstem of equations. 15) A small business takes out loans from three different banks to bu some new equipment. The total amount of the three loans is $20,000. The first bank offered an interest rate of 1%. The second bank offered a rate of 18% and the amount borrowed from this bank was $5000 less than twice as much as the amount borrowed from the first bank. The third bank offered a rate of 15%. The total annual interest was $3270. How much did the borrow from each bank? 15) 1) A basketball fieldhouse seats 15,000. Courtside seats sell for $, endzone for $, and balcon for $. Total revenue for a sell-out is $82,000. If half the courtside and balcon and all endzone seats are sold, the total revenue is $7,000. How man of each tpe are there? 1) Perform the indicated operation where possible. 17) ) 18) ) Perform the indicated operation. 19) Let C = -2. Find C. 19) 20) Let A = 23 2 and B = 0-1. Find 2A + B. 20) 2
3 Solve the problem. 21) Carne and Dobler sell home and mortgage insurance. Their sales for the months of Ma and June are given in the matrices. 21) M = Home Mortgage 22,000 5,000 Carne 17,000 27,000 Dobler J = 25,000,000 1,000 21,000 Carne Dobler Find the matri that would give the change in sales from Ma to June. 22) What is the size of the matri? ) A manufacturer of wooden chairs and tables must decide in advance how man of each item will be made in a given week. Use the table to find the sstem of inequalities that describes the manufacturerʹs weekl production. 23) Use for the number of chairs and for the number of tables made per week. The number 23) of work-hours available for construction and finishing is fied. Hours per chair Hours per table Total hours available Construction Finishing Graph the linear inequalit. 2) )
4 Graph the feasible region for the sstem of inequalities. 25) ) - - 2) ) ) )
5 Find the value(s) of the function on the given feasible region. 28) Find the minimum of z = ) 29) Find the maimum and minimum of z = ) Use graphical methods to solve the linear programming problem. 30) Maimize z = subject to: ) - - 5
6 Find the value(s) of the function, subject to the sstem of inequalities. 31) Find the maimum and minimum of P = - 2 subject to: 0 5, 0 8, , and ) State the linear programming problem in mathematical terms, identifing the objective function and the constraints. 32) A car repair shop blends oil from two suppliers. 32) Supplier I can suppl at most gal with 3.7% detergent. Supplier II can suppl at most gal with 3.3% detergent. How much can be ordered from each to get at most 0 gal of oil with maimum detergent? The Acme Class Ring Compan designs and sells two tpes of rings: the VIP and the SST. The can produce up to 2 rings each da using up to 0 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring. 33) How man of each tpe of ring should be made dail to maimize the companʹs profit, if 33) the profit on a VIP ring is $20 and on an SST ring is $50? Convert the constraints into linear equations b using slack variables. 3) Maimize z = Subject to: , 2 0 3) Find the pivot in the tableau. 35) z ) Use the indicated entr as the pivot and perform the pivoting once. 3) 3) Write the basic solution for the simple tableau determined b setting the nonbasic variables equal to 0. 37) z 37)
7 Use the simple method to solve the linear programming problem. 38) Maimize z = subject to: with 1 0, ) 39) Maimize z = subject to: with 1 0, 2 0, ) A baker makes sweet rolls and donuts. A batch of sweet rolls requires 3 lb of flour, 1 dozen eggs, and 2 lb of sugar. A batch of donuts requires 5 lb of flour, 3 dozen eggs, and 2 lb of sugar. Set up an initial simple tableau to maimize profit. 0) The baker has 380 lb of flour, 300 dozen eggs, 200 lb of sugar. The profit on a batch of 0) sweet rolls is $5.00 and on a batch of donuts is $ A manufacturing compan wants to maimize profits on products A, B, and C. The profit margin is $3 for A, $ for B, and $15 for C. The production requirements and departmental capacities are as follows: Department Production requirement b product (hours) Departmental capacit (Total hours) A B C Assembling ,000 Painting ,000 Finishing ,000 1) What is the maimum profit in this model? 1) 2) What is the maimum profit if the capacit of the painting department changes to 0,000 hours? 2) Given the matrices A and B, find the matri product AB. 3) A = 1 3, B = 0 2 Find AB. 3) ) A = , B = Find AB. ) 7
8 Determine whether the two matrices are inverses of each other b computing their product ) , ) Find the inverse, if it eists, of the given matri. 0 ) ) 7) ) 8
9 Answer Ke Testname: MATH 132 EXAM 2 REVIEW 1) Yes 2) Yes 3) (0, 3) ) No solution 5) , for an real number 2 ) (, 8) 7) 33 pounds 8) (5, -3, -5) 9) (-3, -2, -2) ) Inconsistent 11) Independent 12) ) = - = z = 1) (13-3w, -9, + 2w, w) for an real number w 15) first bank $000, second bank $7000, third bank: $7000 1) 3000 courtside 2000 endzone,000 balcon 17) Not defined 18) ) ) 31 21) ) 3 23)
10 Answer Ke Testname: MATH 132 EXAM 2 REVIEW 2) ) - 2) ) ) -
11 Answer Ke Testname: MATH 132 EXAM 2 REVIEW 29) 220, 12 30) Maimum of 0 when = 8 and = 3 31) 50, -1 32) Maimize Subject to: ) 0 VIP and 2 SST 3) = = 25 35) 3 in row 2, column 3) 37) 1 = 0, 2 = 0, 3 = 29, = 0, 5 = 1, z = 19 38) Maimum is 30 when 1 =, 2 = 0 39) Maimum is 20 when 1 = 0, 2 =, 3 = 0 0) ) $225,000 2) $225,000 3) ) ) Yes ) )
Exam 2 Review Math1324. Solve the system of two equations in two variables. 1) 8x + 7y = 36 3x - 4y = -13 A) (1, 5) B) (0, 5) C) No solution D) (1, 4)
Eam Review Math3 Solve the sstem of two equations in two variables. ) + 7 = 3 3 - = -3 (, 5) B) (0, 5) C) No solution D) (, ) ) 3 + 5 = + 30 = -, B) No solution 3 C) - 5 3 + 3, for an real number D) 3,
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Stud Guide for Test II Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the linear inequalit. 1) 3 + -6 1) - - - - A) B) - - - - - - - -
More informationGraph the linear inequality. 1) x + 2y 6
Assignment 7.1-7.3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the linear inequality. 1) x + 2y 6 1) 1 2) x + y < -3 2) 2 Graph the
More informationFALL 2012 MATH 1324 REVIEW EXAM 2
FALL 0 MATH 3 REVIEW EXAM MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the order of the matri product AB and the product BA, whenever the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math324 - Test Review 2 - Fall 206 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the vertex of the parabola. ) f(x) = x 2-0x + 33 ) (0,
More informationMath Finite Mathematics Instructor - Dalip Sondhi Exam 1
Math - Finite Mathematics Instructor - Dalip Sondhi Eam Name Date PLEASE SUBMIT THIS TEST, SUMMARIZE YOUR ANSWERS ON IT, STAPLE YOUR SUPPORTING WORK TO IT & SCANTRON INSERTED BEHIND PAGE, UNSTAPLED. GRADING
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 4 review exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the constraints into linear equations by using slack variables. ) Maximize
More informationExam. Name. Use the indicated region of feasible solutions to find the maximum and minimum values of the given objective function.
Exam Name Use the indicated region of feasible solutions to find the maximum and minimum values of the given objective function. 1) z = 12x - 22y y (0, 6) (1.2, 5) Solve the 3) The Acme Class Ring Company
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Linear equations 1 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Find the slope of the line passing through the points (, -3) and (2, -1). 1)
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 2) A) Not defined B) - 2 5
Stud Guide for TEST I Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line passing through the given pair of points. )
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Find the line passing through the two points. Write the equation
More informationPre 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
More informationMATH 1710 College Algebra Final Exam Review
MATH 7 College Algebra Final Eam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) There were 80 people at a pla. The admission price was $
More information5) In a local election, 48,900 people voted. This was an increase of 6% over the last election. How many people voted in the last election?
Final Eam Review (2018-2019) Math 11000 1) Evaluate the epression 6 - (a - b) 2, when a = 13 and b = 3 2) Simplif using the distributive law and combining like terms. -3(2t - ) - (t - ) + t 3) Solve: -9
More information2) x + y + z = -1. A) Dependent B) Independent C) Inconsistent
Assignment.1-. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Perform row operations on the augmented matrix as far as necessary to determine
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C)
Math 6 Fall 28 Name Qui 2 Chapters 2 & 3 Each problem worth 5 points Number 2 is etra credit MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question ) The result
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 03 C-Fair College Departmental Final Eamination Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the linear equation b the method of
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MAT 10 Test 2 Review (chapters 6,7,11) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multipl both sides of each equation b a common denominator
More informationLesson 5.1 Solving Systems of Equations
Lesson 5.1 Solving Sstems of Equations 1. Verif whether or not the given ordered pair is a solution to the sstem. If it is not a solution, eplain wh not. a. (, 3) b. (, 0) c. (5, 3) 0.5 1 0.5 2 0.75 0.75
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MAT 1033 Test 2 Review (chapters 6,7,11) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multipl both sides of each equation b a common denominator
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Spring 0 Math 08 Eam Preparation Ch Dressler Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the quadratic equation b the square root propert.
More informationIntermediate Algebra Review for Exam 1 - Spring 2005
Intermediate Algebra Review for Eam - Spring 00 Use mathematical smbols to translate the phrase. ) a) 9 more than half of some number b) 0 less than a number c) 37 percent of some number Evaluate the epression.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A) 4 13 C) 2 3 2) A) 0 B) 1 3 C) 5 13
Math 30 Final Eam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line passing through the given pair of points.
More informationx. 4. 2x 10 4x. 10 x
CCGPS UNIT Semester 1 COORDINATE ALGEBRA Page 1 of Reasoning with Equations and Quantities Name: Date: Understand solving equations as a process of reasoning and eplain the reasoning MCC9-1.A.REI.1 Eplain
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
0 Final Practice Disclaimer: The actual eam differs. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Epress the number in scientific notation. 1) 0.000001517
More informationMath Homework 3: solutions. 1. Consider the region defined by the following constraints: x 1 + x 2 2 x 1 + 2x 2 6
Math 7502 Homework 3: solutions 1. Consider the region defined by the following constraints: x 1 + x 2 2 x 1 + 2x 2 6 x 1, x 2 0. (i) Maximize 4x 1 + x 2 subject to the constraints above. (ii) Minimize
More informationChapters 8 & 9 Review for Final
Math 203 - Intermediate Algebra Professor Valdez Chapters 8 & 9 Review for Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the formula for
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Practice Test 1-0312-Chap. 2.4,2.7, 3.1-3.6,4.1,.4,. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an inequalit statement involving the
More informationFinal Exam Review. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Eam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether or not the relationship shown in the table is a function.
More information6.2: The Simplex Method: Maximization (with problem constraints of the form )
6.2: The Simplex Method: Maximization (with problem constraints of the form ) 6.2.1 The graphical method works well for solving optimization problems with only two decision variables and relatively few
More informationMath 1324 Final Exam Review (A)
Math 13 Final Eam Review (A) 618 6181 1. Graph the equation. 5 = 1 8 6-1 -8-6 - - - 6 8 1 - -6-8 -1. Find the - and -intercepts of the graph. List all the -intercepts. Select the correct choice below and,
More informationMath098 Practice Final Test
Math098 Practice Final Test Find an equation of the line that contains the points listed in the table. 1) 0-6 1-2 -4 3-3 4-2 Find an equation of the line. 2) 10-10 - 10 - -10 Solve. 3) 2 = 3 + 4 Find the
More informationMTH 112 Practice Test 3 Sections 3.3, 3.4, 3.5, 1.9, 7.4, 7.5, 8.1, 8.2
MTH 112 Practice Test 3 Sections 3.3, 3., 3., 1.9, 7., 7., 8.1, 8.2 Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions
More informationAlgebra 1, Semester 1 Exam Review
Algebra, Semester Exam Review What is an algebraic expression for the word phrase?. the sum of n and 9 A. n 9 n + 9 D. 9n. the difference of r and A. r + r D. r. the quotient of j and 8 A. 8j j 8 D. j
More informationFind the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2
Sample Departmental Final - Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2 - n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance
More informationM122 College Algebra Review for Final Exam
M1 College Algebra Review for Final Eam Revised Fall 017 for College Algebra - Beecher All answers should include our work (this could be a written eplanation of the result, a graph with the relevant feature
More informationAPPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY
APPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY Constructed Response # Objective Sllabus Objective NV State Standard 1 Graph a polnomial function. 1.1.7.1 Analze graphs of polnomial functions
More information3.1 Graph Quadratic Functions
3. Graph Quadratic Functions in Standard Form Georgia Performance Standard(s) MMA3b, MMA3c Goal p Use intervals of increase and decrease to understand average rates of change of quadratic functions. Your
More information118 Intermediate Algebra Fall Intermediate Algebra FNMT Time: 6:30-9:35 pm, Thursday. Room 228
118 Intermediate Algebra Fall 2018 Intermediate Algebra - 40428 - FNMT 118-122 Time: 6:30-9:3 pm, Thursda Room 228 SYLLABUS Catalog description. Real numbers, polnomials, rational epressions, algebraic
More informationFind the integral. 12) 15)
Find the location of the indicated absolute etremum within the specified domain. ) Minimum of f() = /- /; [0, ] 8) Maimum h() ) Minimum of f() = - + - ; [-, ] ) Minimum of f() = ( + )/; [-, ] ) Maimum
More informationMATH 115: Review for Chapter 6
MATH 115: Review for Chapter 6 In order to prepare for our test on Chapter 6, ou need to understand and be able to work problems involving the following topics: I SYSTEMS OF LINEAR EQUATIONS CONTAINING
More informationSection 3.1 Solving Linear Systems by Graphing
Section 3.1 Solving Linear Sstems b Graphing Name: Period: Objective(s): Solve a sstem of linear equations in two variables using graphing. Essential Question: Eplain how to tell from a graph of a sstem
More informationAlgebra 2 Unit 1 Practice
Algebra Unit Practice LESSON - Use this information for Items. Aaron has $ to rent a bike in the cit. It costs $ per hour to rent a bike. The additional fee for a helmet is $ for the entire ride.. Write
More information8.4. If we let x denote the number of gallons pumped, then the price y in dollars can $ $1.70 $ $1.70 $ $1.70 $ $1.
8.4 An Introduction to Functions: Linear Functions, Applications, and Models We often describe one quantit in terms of another; for eample, the growth of a plant is related to the amount of light it receives,
More informationSolving Systems Using Tables and Graphs
3-1 Solving Sstems Using Tables and Graphs Vocabular Review 1. Cross out the equation that is NOT in slope-intercept form. 1 5 7 r 5 s a 5!3b 1 5 3 1 7 5 13 Vocabular Builder linear sstem (noun) LIN ee
More informationM= 4 s. 112j 127J. 20f25 Determine whether the given ordered set ofnumbers is a solution ofthe system ofequations.
Striving to provide a online education experience TM Note: You will only be allowed to submit this test one time. Your score will be averaged in your overall course grade and you will not be able to submit
More informationExam. Name. Domain: (0, ) Range: (-, ) Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, ) y
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the function and write the domain and range in interval notation. ) f () = 5 B) 0 0
More informationChapter 5: Systems of Equations
Chapter : Sstems of Equations Section.: Sstems in Two Variables... 0 Section. Eercises... 9 Section.: Sstems in Three Variables... Section. Eercises... Section.: Linear Inequalities... Section.: Eercises.
More informationReady To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions
Read To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions Find these vocabular words in Lesson 5-1 and the Multilingual Glossar. Vocabular quadratic function parabola verte
More informationFair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution.
Name Date Chapter 4 Fair Game Review Solve the equation. Check our solution.. 8 3 = 3 2. 4a + a = 2 3. 9 = 4( 3k 4) 7k 4. ( m) 2 5 6 2 = 8 5. 5 t + 8t = 3 6. 3 5h 2 h + 4 = 0 2 7. The profit P (in dollars)
More informationMATH 125 MET *** SAMPLE*** The actual test will have 25 questions (At least 20 will be multiple choice similar to below) Update Fall 2012
MATH MET *** SAMPLE*** The actual test will have questions (At least 0 will be multiple choice similar to below) Update Fall 0 MULTIPLE CHOICE. Choose the one alternative that best completes the statement
More information2, g(x) = 4x ) x - 12
Math 11000 Practice Final Eam Page 1 1) Find f(-1) when f() = 3 - - 8 + 3 1) ) Given f() = + - 3-1 and g() =, find the sum, (f + g)(). ) + 3) Given f() = -63 + 9 + and g() = -53 + - 5, find the difference,
More informationHCC-SE MATH DEPT. 1 Revised Fall 2008
FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = + 7-0 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution
More informationName: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA 1
Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA ) When simplifing an epression, ou perform operations inside grouping smbols first. a. alwas b. sometimes c. never ) The opposite of a negative
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) C) 31.
Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sentence as a mathematical statement. 1) Negative twent-four is equal to negative
More informationSystems of Linear Equations in Two Variables. Break Even. Example. 240x x This is when total cost equals total revenue.
Systems of Linear Equations in Two Variables 1 Break Even This is when total cost equals total revenue C(x) = R(x) A company breaks even when the profit is zero P(x) = R(x) C(x) = 0 2 R x 565x C x 6000
More informationMath 115 Spring Break Homework Package Name. . List all
Math Spring Break Homework Package Name Show all work neatl and sstematicall for full credit. Total points: 00 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
More informationSECTION 3.2: Graphing Linear Inequalities
6 SECTION 3.2: Graphing Linear Inequalities GOAL: Graphing One Linear Inequality Example 1: Graphing Linear Inequalities Graph the following: a) x + y = 4 b) x + y 4 c) x + y < 4 Graphing Conventions:
More informationA = Chapter 6. Linear Programming: The Simplex Method. + 21x 3 x x 2. C = 16x 1. + x x x 1. + x 3. 16,x 2.
Chapter 6 Linear rogramming: The Simple Method Section The Dual roblem: Minimization with roblem Constraints of the Form Learning Objectives for Section 6. Dual roblem: Minimization with roblem Constraints
More informationMath 084 Spring 2014 Exam 3 (Final) Preperation Ch 4 et al v01 Dressler. Name
Math 0 Spring 01 Eam 3 (Final) Preperation Ch et al v01 Dressler Name Determine whether the ordered pair is a solution of the sstem. 1) (-3, ) + = 3 - = -9 Solve the sstem b graphing. If there is no solution
More information. So the solution set is parameterized by x = t and y = 2 3 t
Review for Eam II Solutions MAT 2. Solve the following sstem of linear equations using an algebraic method. You must show all steps of the algebraic process used. 5 + = 39 4 + 6 = 4 Solve for in the first
More informationPractice Questions for Math 131 Exam # 1
Practice Questions for Math 131 Exam # 1 1) A company produces a product for which the variable cost per unit is $3.50 and fixed cost 1) is $20,000 per year. Next year, the company wants the total cost
More informationExam 3 Review Math 118 Sections 1 and 2
Exam 3 Review Math 118 Sections 1 and 2 This exam will cover sections 5.3-5.6, 6.1-6.3 and 7.1-7.3 of the textbook. No books, notes, calculators or other aids are allowed on this exam. There is no time
More informationAlgebra I STAAR Practice Test A
Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph
More informationMath 115 Sample Final
Math Sample Final Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor completel. If the polnomial is prime, state this. ) + 8-0 ( - )( + )
More informationLinear Programming: Simplex Method CHAPTER The Simplex Tableau; Pivoting
CHAPTER 5 Linear Programming: 5.1. The Simplex Tableau; Pivoting Simplex Method In this section we will learn how to prepare a linear programming problem in order to solve it by pivoting using a matrix
More information7.1 Solving Systems of Equations
Date: Precalculus Notes: Unit 7 Systems of Equations and Matrices 7.1 Solving Systems of Equations Syllabus Objectives: 8.1 The student will solve a given system of equations or system of inequalities.
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1325 Test 3 Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the location and value of each relative etremum for the function. 1)
More informationy x can be solved using the quadratic equation Y1 ( x 5), then the other is
Math 0 Precalculus Sstem of Equation Review Questions Multiple Choice. The sstem of equations A. 7 0 7 0 0 0 and can be solved using the quadratic equation. In solving the quadratic equation 0 ( ) intersection
More informationREVIEW PACKET FOR END OF COURSE EXAM
Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate
More informationAlgebra 2 Semester Exam Review
Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation
More informationa [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A]
) Simplif: z z z 6 6 z 6 z 6 ) Simplif: 9 9 0 ) Simplif: a a a 0 a a ) Simplif: 0 0 ) Simplif: 9 9 6) Evaluate: / 6 6 6 ) Rationalize: ) Rationalize: 6 6 0 6 9) Which of the following are polnomials? None
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Stud Guide - Ch 3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The bar graph below shows the number of students b major in the College of
More informationIntermediate Algebra. Exam 1 Review (Chapters 1, 2, and 3)
Eam Review (Chapters,, and ) Intermediate Algebra Name. Epress the set in roster form. { N and 7}. Epress the set in set builder form. {-, 0,,,, }. Epress in set builder notation each set of numbers that
More informationMath 1325 Final Exam Review. (Set it up, but do not simplify) lim
. Given f( ), find Math 5 Final Eam Review f h f. h0 h a. If f ( ) 5 (Set it up, but do not simplify) If c. If f ( ) 5 f (Simplify) ( ) 7 f (Set it up, but do not simplify) ( ) 7 (Simplify) d. If f. Given
More informationINEQUALITIES
Chapter 4 INEQUALITIES 4.2.1 4.2.4 Once the students understand the notion of a solution, the can etend their understanding to inequalities and sstems of inequalities. Inequalities tpicall have infinitel
More informationChapter 4 Test Review. 1. Sketch the graph of the equation 3x + 5y = Sketch the graph of the equation 4x + 3y = 24.
Name Chapter 4 Test Review Per. 1. Sketch the graph of the equation 3x + 5y = 30. 2. Sketch the graph of the equation 4x + 3y = 24. 3. Sketch the graph of the inequality 2x + 4y 12. 4. Sketch the graph
More informationIntermediate Algebra / MAT 135 Spring 2017 Master ( Master Templates)
Test 1 Review #1 Intermediate Algebra / MAT 135 Spring 017 Master ( Master Templates) Student Name/ID: 1. Solve for. = 8 18. Solve for. = + a b 3. Solve for. a b = L 30. Two trains leave stations miles
More informationLinear Programming. Maximize the function. P = Ax + By + C. subject to the constraints. a 1 x + b 1 y < c 1 a 2 x + b 2 y < c 2
Linear Programming Man real world problems require the optimization of some function subject to a collection of constraints. Note: Think of optimizing as maimizing or minimizing for MATH1010. For eample,
More informationYou solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6)
You solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6) Solve systems of linear equations using matrices and Gaussian elimination. Solve systems of linear
More informationEam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.
More informationName Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More informationmath0320 FALL interactmath sections developmental mathematics sullivan 1e
Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan
More informationWhat if both of the variables cancel out?
Name:. Solving Sstems of Equations Algebraicall Lesson Essential Question: How do ou solve a sstem of equations algebraicall? SUBSTITUTION ELIMINATION Definition- Definition- - = -6 + = - - = -6 + = -
More informationSample Questions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Sample Questions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the equation is linear or nonlinear. 1) - = A) linear nonlinear
More information9 (0, 3) and solve equations to earn full credit.
Math 0 Intermediate Algebra II Final Eam Review Page of Instructions: (6, ) Use our own paper for the review questions. For the final eam, show all work on the eam. (-6, ) This is an algebra class do not
More informationb(n) = 4n, where n represents the number of students in the class. What is the independent
Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing movie tickets that sell for $ each C The cost,, after a $ discount,
More informationMAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam
MAT 33C -- Martin-Ga Intermediate Algebra Chapter 8 (8.1 8. 8. 8.6) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
More informationCh 3 Alg 2 Note Sheet.doc 3.1 Graphing Systems of Equations
Ch 3 Alg Note Sheet.doc 3.1 Graphing Sstems of Equations Sstems of Linear Equations A sstem of equations is a set of two or more equations that use the same variables. If the graph of each equation =.4
More informationTHIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER
THIS IS A CLASS SET - DO NOT WRITE ON THIS PAPER ALGEBRA EOC PRACTICE Which situation can be represented b =? A The number of eggs,, in dozen eggs for sale after dozen eggs are sold B The cost,, of buing
More informationChapter 6 Class Notes 6-1 Solving Inequalities Using Addition and Subtraction p n 1
Chapter Class Notes Alg. CP - Solving Inequalities Using Addition and Subtraction p.. t. a. n. r r - Solving Inequalities Using Multiplication and Division p. 0-0 A) n B) n A) B) p When ou multipl or divide
More information1. (7pts) Find the points of intersection, if any, of the following planes. 3x + 9y + 6z = 3 2x 6y 4z = 2 x + 3y + 2z = 1
Math 125 Exam 1 Version 1 February 20, 2006 1. (a) (7pts) Find the points of intersection, if any, of the following planes. Solution: augmented R 1 R 3 3x + 9y + 6z = 3 2x 6y 4z = 2 x + 3y + 2z = 1 3 9
More informationSolve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7
Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. =- + 3 = - (1, ). = 1 - (, 1) =-3 + 5 3. = 3 + + = 1 (, 3). =-5 = - 7. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).
More informationAlgebra 2 Unit 2 Practice
Algebra Unit Practice LESSON 7-1 1. Consider a rectangle that has a perimeter of 80 cm. a. Write a function A(l) that represents the area of the rectangle with length l.. A rectangle has a perimeter of
More informationThe questions listed below are drawn from midterm and final exams from the last few years at OSU. As the text book and structure of the class have
The questions listed below are drawn from midterm and final eams from the last few years at OSU. As the tet book and structure of the class have recently changed, it made more sense to list the questions
More informationOBJECTIVE 5 SOLVING SYSTEMS 5/19/2016 SOLVING SYSTEMS OF TWO EQUATIONS BY SUBSTITUTION:
/9/ OBJECTIVE Sstems & Matrices SOLVING SYSTEMS OF TWO EQUATIONS BY SUBSTITUTION:. Solve one of the equations for one of the variables in terms of the other.. Substitute this epression into the nd equation,
More informationMath 2003 Test D This part of the Exam is to be done without a calculator
Math 00 Test D This part of the Eam is to be done without a calculator. Which of the following is the correct graph of =? b) c) d) e). Find all the intercepts of = -intercept: 0 -intercepts: 0, -, b) -intercepts:
More information[ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions:
Math Intermediate Algebra II Final Eam Review Page of 9 Instructions: Use our own paper for the review questions. For the final eam, show all work on the eam. This is an algebra class do not guess! Write
More information