DSpace at VNU: Quantitative Analysis: Algebra with a Business Perspective

QuantitativeAnalysis
AlgebrawithaBusinessPerspective
DonnaM.Wacha

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Donna M. Wacha

Quantitative Analysis
Algebra with a Business Perspective

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Quantitative Analysis: Algebra with a Business Perspective
1st edition
© 2013 Donna M. Wacha & bookboon.com
ISBN 978-87-403-0443-5

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Quantitative Analysis

Contents

Contents
Preface

11

1

Equations, Inequalities & Linear Programming

12

Tutorial 1.1

Solve one-step equations in one variable.

12

Tutorial 1.2

Solve two-step equations in one variable.

14

Tutorial 1.3

Solve multi-step equations involving like-terms.

16

Tutorial 1.4

Solve multi-step equations involving parentheses.

18

Tutorial 1.5

Solve multi-step equations where the variable appears on each side
of the equation.

20

Tutorial 1.6

Solve multi-step inequalities in one variable.

22

Tutorial 1.7

Graph the solution of multi-step equations or inequalities (in one variable)
on a number line.

25

Tutorial 1.8

Graph a line that passes through two given points.

28

Tutorial 1.9

Graph a linear equation using its x- and y-intercepts.

30

Tutorial 1.10

Graph a linear equation (in slope-intercept form) using its slope and y-intercept.32

Tutorial 1.11

Graph a linear equation (in standard form) using its slope and y-intercept.

34

Tutorial 1.12

Determine the slope of a line passing through 2 points.

37

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Quantitative Analysis

Tutorial 1.13

Contents

Use the slope-intercept formula to write the equation of a line with
a given slope and point.

Tutorial 1.14

41

Use the point-slope formula to write the slope-intercept form of
an equation of a line given its slope and a point.

43

Tutorial 1.15

Write the standard form of an equation of a line given its slope and a point.

45

Tutorial 1.16

Write the standard form of an equation of a line that passes through 2
given points.

Tutorial 1.17

48

Determine whether the lines for a pair of equations are parallel,
perpendicular or coincide with each other.

50

Tutorial 1.18

Write the equation of a line through a given point that is parallel to a given line. 54

Tutorial 1.19

Write the equation of a line through a given point that is perpendicular

to a given line.

56

Tutorial 1.20

Solve a system of linear equations by graphing

58

Tutorial 1.21

Solve a system of linear equations by substitution.

59

Tutorial 1.22

Solve a system of linear equations by elimination.

62

Tutorial 1.23

Solve a system of 3 equations in 3 variables.

66

Tutorial 1.24

Solve applications involving systems of equations.

70

Tutorial 1.25

Find the marginal cost, the marginal cost revenue and the marginal cost
proit of given linear total cost functions, linear total revenue functions
and linear proit functions.

74

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