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Chapter 2 Summary 139 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 2.1 Solving Linear Equations 1. A(n) linear equation in one variable is an equation of the form . Linear equations are also called equations. 2. A(n) is a value of the variable that makes the equation true. 3. To solve a linear equation in one variable, the goal is to produce an equation of the form or . 4. equations are equations with the same solution set. 5. The addition property of equality states that we can or the same number from of an equation and not change the solution set. 6. The multiplication property of equality enables us to or each side of an equation by the same non-zero number and not change the solution set. 7. To solve equations with fractions, we can multiply each side of the equation by the to obtain an equivalent equation without fractions. 8. To solve equations with decimals, we can multiply each side of the equation by the that eliminates the decimals. 9. A(n) equation is an equation that is true for some values of the variable but not true for others. 10. A(n) is an equation that is not true for any values of the variable. The solution set for these equations is . 11. A(n) is an equation that is true for all values of the variable. The solution set for these equations is . SECTION 2.2 Introduction to Applications 12. To solve an application problem, the first thing to do is the problem. 13. Determine the and assign a variable to it. Other unknowns in the problem should be in terms of this variable. 14. Use the known information to translate phrases into mathematical expressions to write the . Solve the equation and answer the question. SECTION 2.3 Formulas and Applications 15. Complementary angles are angles whose sum is . If one angle has a measure of x°, its complement has measure . 16. Supplementary angles are angles whose sum is . If one angle has a measure of x°, its complement has measure . 17. Vertical angles, or angles, are formed by intersecting lines. These angles are in measure. 18. The perimeter of a polygon is the around the figure. 19. The distance around a circle is its . 20. The of a figure is the number of square units its takes to cover the inside of the figure. 21. A mathematical is an equation that expresses the relationship between two or more variables. SECTION 2.4 Linear Inequalities and Applications 22. A linear inequality in one variable is an inequality of the form . 23. A(n) of a linear inequality is a value that makes the inequality true. 24. The picture of the solution set of an inequality is the of the solution set. 25. If an endpoint of a solution set of an inequality is included in the solution, a(n) is used. If an endpoint of a solution set is not included in the solution set a(n) is used. 26. A concise way to express the solution set of an inequality is . 27. The symbol indicates that the solutions of an inequality continue to the right indefinitely. The symbol indicates that the solutions of an inequality continue indefinitely to the left. A(n) is always used with these notations. 28. When solving linear inequalities, we can or the same number from each side of an inequality and not change the relationship between the two expressions. 29. When solving linear inequalities, we can multiply or divide each side by a(n) number and not change the relationship between the two expressions. 30. When solving linear inequalities, we can multiply or divide each side by a(n) number but we must also the inequality symbol to maintain the relationship between the two expressions. 31. The phrase “is at most” can be translated by the symbol . The phrase “is at least” can be translated by the symbol . SECTION 2.5 Compound Inequalities 32. The of two sets consists of the elements the sets have in common. 33. The of two sets consists of the elements that are in either set. 34. A(n) consists of two inequalities joined by “and” or “or.” 35. To solve a compound inequality using “and” requires us to find the of the solution sets. 36. To solve a compound inequality using “or” requires us to find the of the solution sets. CHAPTER 2 / SUMMARY


hendricks_intermediate_algebra_1e_ch1_3
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