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# Finite Math MATH 1160

WMU

GPA 3.59

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## Popular in Mathematics (M)

This 4 page Study Guide was uploaded by Ms. Deborah Gaylord on Wednesday September 30, 2015. The Study Guide belongs to MATH 1160 at Western Michigan University taught by Mark Schreiner in Fall. Since its upload, it has received 20 views. For similar materials see /class/216819/math-1160-western-michigan-university in Mathematics (M) at Western Michigan University.

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Date Created: 09/30/15

Study Guide for Test 1 CHAPTER 1 Section 11 0 Know how to find the xintercept and the yintercept 0 Know how to determine if a point is on the line without using a graph of the line 0 Know how to graph a line with and without a calculator 0 When given a real life problem that uses an equation know how to interpret the x and y intercept in the context of the problem See example 8 0 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 11 o 11 0000 Section 12 0 Know how to graph an inequality Recall that we cross of the portion of the graph that does not satisfy the inequality 0 Know how to find the feasible set of a system of linear inequalities o How to determine if a point is in the feasible set without the use of a graph 0 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 12 o 23 0000 Section 13 0 Know how to the solution or intersection point when given a pair of equation Be able to do this with and without a calculator 0 Know how to find the vertices of a feasible set with and without the calculator 0 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 13 o 3 o 9 00000 to Section 14 0 When given an equation of a line 0 Know how to find the slope of the line 0 Know how to find the slope of a line that is parallel to the equation of the line 0 Know how to find the slope of a line that is perpendicular to the equation of the line 0 When given two points know how to find the equation of a line that goes through the two points 0 When given a real life problem that has an equation of a line know how to interpret the slope in the context of the problem See examples 6 and 7 0 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 13 o 5 00000000 N Chapter 3 0 When given a problem know how to translate the problem into mathematical statements 0 Be able to define the variables 0 Form the objective function 0 Create a table to form the system linear inequalities 0 Form the system of linear inequalities 0 Know the Fundamental Theorem of Linear Programming 0 Know how to graph the system of linear inequalities Chapter 1 section 2 0 Know how to find the vertices of the feasible set Chapter 1 section 3 0 Know how to find the vertex that maximizes or minimizes the objective function 0 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 31 o 7 o 9 Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 32 O O 0 CHAPTER 2 29 33 35 Which has the complete solution to the problem in the back of the textbook Sections 21 and 22 Know perform the Gaussian elimination method on a system of two equations with two unknownsvariables by hand See example 4 on page 62 just imagine that the equations are the matrices with the coefficients and constants Study the example 5 on page 63 When given a matrix and also a row operation in the notation that is used in the book be able to perform the row operation on the given matrix See exercises 13 and 15 on page 67 Know how to use the calculator to perform the Gaussian elimination method on a system of equations When completing the Gaussian elimination method on a system of equations know how to determine if the system of equations has a solutions and infinite number of solutions or if there is no solution to the system of linear equations Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 21 O O O O O 13 15 25 Do by hand 35 Use the calculator 45 Which has the complete solution to the problem in the back of the textbook Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 22 O 0000 1 3 9 13 25 Which has the complete solution to the problem in the back of the textbook 27 Which has the complete solution to the problem in the back of the textbook Section 23 Know the condition that must be present when two matrices can be added together Know the circumstances when two matrices can not be added together Know the condition when one matrix can be subtracted by another matrix Know the circumstances when one matrix can not be subtracted by another matrix Know how to add or subtract two matrices using the calculator Know the condition that must be present when two matrices can be multiplied together Know how to multiply two matrices together by hand and also using the calculator Know how to convert a system of equations into a matrix equation Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 23 o 11 000000000 N U Section 24 Know the property of a square matrix and its inverse Know how to find the inverse of a matrix using a calculator Know how to use an inverse matrix when solving a matrix equation Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 24 o 3 o 5 o 11 o 13 o 21 Section 26 Know how to take the word problem and set up the inputoutput matrix and the demand matrix Use the equation X l A 1D to find the amount of input needed to meet the demand Look at the following exercises that have answers in the back of the book that cover the above concepts Exercise set 26 o 11 o 13

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