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MATH 100:11 Mathematical Concepts Fall/Winter 2011-2012 Chapter 7: Basic Concepts of Algebra and Chapter 8: Graphs, Functions and Systems of Equations Goals, Key Ideas, Sample Exercises and Links |
Please note that we will be doing both chapters at the same time, and we will do the sections in the order that they are presented below.
Main Goals for Chapters 7 and 8
Section 7.1 Linear Equations. Key Ideas: linear equations, solving a linear equation for an unknown variable, using linear equations as a model for a word problem). Sample exercises (pages 321-324): odd 1-31, 37-41, 51-77
Section 7.2 Applications of Linear Equations. Key Ideas: solving a word problem using linear equations. Sample exercises (pages 334-339): 1,3,5,7,9,11,13,17,19,21,2329,37,41
Section 8.1 Rectangular Coordinate System. Key Ideas: cartesian coordinate system, distance and midpoint (not doing circles). Sample exercises (pages 399-402): 1, 3, 7, 9, 11-25 (odd), 55, 57
Section 8.2 Lines and Their Slopes. Key Ideas: linear equations with two variables, intercepts, slopes, vertical and horizontal lines, perpendicular and parallel lines, average rate of change. Sample exercises (pages 409-412): 1-7 (odd), 13-47 (odd) 49, 51, 57, 59, 63, 65
Section 8.3 Equations of Lines and Linear Models. Key Ideas: equations of lines (point-slope form, slope-intercept form), word problems using linear models. Sample exercises (pages 418-422): 1-49 (odd), 53-71 (odd)
Section 8.4 An Introduction to Functions: Linear Functions, Applications and Models. Key Ideas: relation, function, domain, range, graphs, linear functions. Sample Exercises (pages 431-434): 5-27 odd, 33-51 odd, 55, 57
Section 7.7 Quadratic Equations and Applications. Key Ideas: quadratic equations, quadratic formula, applications. Sample exercises (pages 385-389): 5-37 odd, 43, 45, 49, 57, 65
Section 8.5 Quadratic Functions, Applications and Models. Key Ideas: quadratic functions and their graphs, intercepts, vertex. Sample exercises (pages 443-444): 1-5 odd, 9-15 odd, 25-45 odd, 47, 49, 51, 53
last updated February 9, 2012