Algebra 2 by McGraw-Hill

By McGraw-Hill

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Glencoe Algebra 2 is a key software in our vertically aligned highschool arithmetic sequence built to assist all scholars in achieving a greater realizing of arithmetic and increase their arithmetic ratings on today’s high-stakes tests.

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Sample text

Properties of Equality Property Vocabulary Link Symmetric Everyday Use having two identical sides Math Use The two sides of an equation are equal, so the sides can be switched. Symbols Examples Reflexive For any real number a, a = a. -7 + n = -7 + n Symmetric For all real numbers a and b, if a = b, then b = a. If 3 = 5x - 6, then 5x - 6 = 3. Transitive For all real numbers a, b, and c, if a = b and b = c, then a = c. If 2x + 1 = 7 and 7 = 5x - 8, then 2x + 1 = 5x - 8. If a = b, then a may be replaced by b and b may be replaced by a.

Write an expression to represent the area of the triangle. ÝÊÊÎÊvÌ 61. Evaluate the expression you wrote in Exercise 60 for x = 23. ÝÊÊxÊvÌ PREREQUISITE SKILL Solve each equation. (Lesson 1-3) 62. 14y - 3 = 25 63. 4 = 40 64. 7w + 2 = 3w - 6 65. 2(a - 1) = 8a - 6 Lesson 1-4 Solving Absolute Value Equations 31 CH APTER 1 Mid-Chapter Quiz Lessons 1-1 through 1-4 1 Evaluate each expression if a = -2, b = _ , and 3 c = -12. (Lesson 1-1) 1. a3 + b(9 - c) 2. b(a2 - c) 3ab 3. _ c a3 -c 5. _ 2 b Solve each equation.

Properties of Equality To solve equations, we can use properties of equality. Some of these properties are listed below. Properties of Equality Property Vocabulary Link Symmetric Everyday Use having two identical sides Math Use The two sides of an equation are equal, so the sides can be switched. Symbols Examples Reflexive For any real number a, a = a. -7 + n = -7 + n Symmetric For all real numbers a and b, if a = b, then b = a. If 3 = 5x - 6, then 5x - 6 = 3. Transitive For all real numbers a, b, and c, if a = b and b = c, then a = c.

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