Chapter 3 / REVIEW Linear Equations in Two Variables What’s the big idea? Now that you have completed Chapter 3, you should be able to see a connection between a linear equation in two variables, solutions of the equation, and the graph of the equation. You should also be able to identify important characteristics of the linear equation from any of its different forms. The Tools Study Tips Listed below are the key terms, skills, formulas, and properties you should know for this chapter. The page reference is provided if you need additional help with the given topic. The Study Tips will assist in your preparation for an exam. 1. Learn all of the terms, formulas, and properties. Make flash cards and have someone quiz you. 2. Rework problems from the exercises and also the ones you worked in class. Work additional problems from the review exercises. 3. Review the summaries of key concepts. 4. Work the chapter test. 5. Be sure to review the online resources for additional study materials. Terms Domain 265 Function notation 270 Function 267 Horizontal line 216 Initial value 239, 256 Linear equation in two variables 209 Linear function 272 Ordered pair 194 Origin 196 Paired data 200 Parallel lines 242 Perpendicular lines 242 Point-slope form 250 Quadrants 196 Range 265 Rate of change 239 Rectangular coordinate system 196 Relation 265 Scatter plot 200 Slope 227 Slope-intercept form 230 Solution of an equation 194 Vertical line 216 x-axis 196 x-intercept 213 y-axis 196 y-intercept 213 Formulas and Properties • Equation of a horizontal line 216 • Equation of a vertical line 216 • Linear equation in two variables 209 • Point-slope form of a line 250 • Slope formula 227 • Slope-intercept form of a line 230 • Standard form of a line 209 • Vertical line test 269 CHAPTER 3 / SUMMARY How well do you know this chapter? Complete the following questions to find out. Take a look back at the section if you need help. SECTION 3.1 Equations and the Rectangular Coordinate System 1. A solution of an equation in two variables is a(n) that makes the equation a(n) statement. 2. In an ordered pair, the first coordinate tells you how to move or from the origin. The second coordinate tells you how far to move or from the . 3. To identify an ordered pair of a point on the coordinate system, determine how far or the point is from the origin and how far or the point is from the . 4. are the four regions formed by the two axes of the rectangular coordinate system. They are labeled with numerals moving in the direction. 5. The graph of an equation in two variables is composed of all that are of the equation. An equation in two variables has many solutions. 282
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