By Berchie Holliday, Beatrice Luchin, Gilbert J. Cuevas

Holliday B., Luchin B., Cuevas G.J. California Algebra 2 (MGH Glencoe, 2007)(ISBN 0078778565)(O)(1133s)

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**Example text**

29 = 25 EXAMPLE Original equation 3 Solve a Multi-Step Equation Solve 2(2x + 3) - 3(4x - 5) = 22. 2(2x + 3) - 3(4x - 5) = 22 4x + 6 - 12x + 15 = 22 -8x + 21 = 22 -8x = 1 1 x = -_ 8 Original equation Apply the Distributive Property. Simplify the left side. Subtract 21 from each side to isolate the variable. Divide each side by -8. 1 The solution is -_ . 8 Solve each equation. 5A. -10x + 3(4x - 2) = 6 20 Chapter 1 Equations and Inequalities 5B. 2(2x - 1) - 4(3x + 1) = 2 5 You can use properties to solve an equation or formula for a variable.

Com The properties of real numbers can be used to simplify algebraic expressions. EXAMPLE Simplify an Expression Simplify 2(5m + n) + 3(2m - 4n). 2(5m + n) + 3(2m - 4n) = 2(5m) + 2(n) + 3(2m) - 3(4n) Distributive Property = 10m + 2n + 6m - 12n Multiply. = 10m + 6m + 2n - 12n Commutative Property (+) = (10 + 6)m + (2 - 12)n Distributive Property = 16m - 10n Simplify. 5. Simplify 3(4x - 2y) - 2(3x + y). 14 Chapter 1 Equations and Inequalities Amy C. Etra/PhotoEdit Example 1 (p. 12) Example 2 (p. 13) Name the sets of numbers to which each number belongs.

W - 3x + y 14. 3, c = 1 , and d = -1. a-d 15. _ a+d 16. _ c a - 10b 18. _ 2 2 d+4 19. _ 2 bc 3 a2c2 17. _ d 1-b 20. _ 3c - 3b a +3 cd 21. NURSING Determine the IV flow rate for the patient described at the 1500 × 15 beginning of the lesson by finding the value of _ . 12 × 60 22. BICYCLING Air pollution can be reduced by riding a bicycle rather than driving a car. 955 × 50) 454 the expression ___. 23. GEOMETRY The formula for the area A of a circle with Y ÊÊx® d 2 . Write an expression to diameter d is A = π _ (2) represent the area of the circle.