By Berchie Holliday, Gilbert J. Cuevas, Beatrice Luchin, Ruth M. Casey, Linda M. Hayek, John A. Carter, Daniel Marks, Roger Day, Carol E. Mallory, Viken Hovseplan

This system scholars desire; the focal point lecturers wish! Glencoe Algebra 1 is a key application in our vertically aligned highschool arithmetic sequence constructed to aid all scholars in achieving a greater knowing of arithmetic and enhance their arithmetic ratings on today’s high-stakes tests.

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Lesson 1-3) 13. x - 3 = 10 14. 25 = 2r + 1 15. _t = 2 5 16. 4y - 9 = 35 17. Find the solution set for 2n 2 + 3 ≤ 75 if the replacement set is {4, 5, 6, 7, 8, 9}. 8 centimeters? (Lesson 1-5) A ÇÊV“ B 22. MULTIPLE CHOICE Which expression represents the second step of simplifying the algebraic expression? (Lesson 1-5) Step 1 9(x + 4y) + 5 + 2(x + 7) Step 2 Step 3 11x + 36y + 19 A 9x + 36y + 7(x + 7) B 9x + 36y + 5 + 2x + 14 C 9(x + 4y + 5) + 2x + 14 D 9(x + 5) + 4y + 2x + 14 1-6 Commutative and Associative Properties ̏>˜Ì>Ê-ÕLÜ>Þ Main Ideas • Recognize the Commutative and Associative Properties.

STANDARDIZED TEST PRACTICE Which number disproves the statement x < 2x? A 0 B 1 C 2 D 4 HOMEWORK HELP For See Exercises Examples 15–18 1 19–24 2 25–28 3 29–38 4 Identify the hypothesis and conclusion of each statement. 15. If both parents have red hair, then their children have red hair. 16. If you are in Hawaii, then you are in the tropics. 17. If 2n - 7 > 25, then n > 16. 18. If a = b and b = c, then a = c. Identify the hypothesis and conclusion of each statement. Then write each statement in if-then form.

1. 2(x + 1) 2. 5(x + 2) 3. 2(2x + 1) Tell whether each statement is true or false. Justify your answer with algebra tiles and a drawing. 4. 3(x + 3) ϭ 3x + 3 5. x(3 + 2) ϭ 3x + 2x 6. 2(2x + 1) = 2x + 2 You can apply the Distributive Property to algebraic expressions. EXAMPLE Algebraic Expressions Rewrite each product using the Distributive Property. Then simplify. a. 5(g - 9) 5(g - 9) = 5 · g - 5 · 9 = 5g - 45 Distributive Property Multiply. b. 3(2x 2 + 4x - 1) 3(2x 2 + 4x - 1) = 3(2x 2) + 3(4x) - 3(1) Distributive Property = 6x 2 + 12x - 3 3A.

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