By McGraw-Hill Education

ISBN-10: 007873830X

ISBN-13: 9780078738302

This system scholars desire; the point of interest lecturers wish! Glencoe Algebra 2 is a key software in our vertically aligned highschool arithmetic sequence built to aid all scholars in achieving a greater realizing of arithmetic and enhance their arithmetic rankings on today’s high-stakes checks.

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**Extra resources for Algebra 2, Student Edition**

**Sample text**

Even if the correct procedure for solving the equation is used, the answers may not be actual solutions of the original equation. 28 Chapter 1 Equations and Inequalities EXAMPLE One Solution Solve x + 6 = 3x - 2. Check your solutions. Case 1 a=b x + 6 = 3x - 2 6 = 2x - 2 8 = 2x 4=x or a = -b x + 6 = -(3x - 2) x + 6 = -3x + 2 4x + 6 = 2 4x = -4 x = -1 Case 2 There appear to be two solutions, 4 and -1. CHECK Substitute each value in the original equation. x + 6 = 3x - 2 4 + 6 3(4) - 2 10 12 - 2 10 = 10 ✔ x + 6 = 3x - 2 -1 + 6 3(-1) - 2 5 -3 - 2 5 = -5 Since 5 ≠ -5, the only solution is 4.

EXAMPLE Solve -m ≤ Solve a Multi-Step Inequality m+4 _ . Graph the solution set on a number line. 9 -m ≤ _ Original inequality m+4 9 -9m ≤ m + 4 -10m ≤ 4 Multiply each side by 9. Add -m to each side. 4 m ≥ -_ Divide each side by -10, reversing the inequality symbol. 2 m ≥ -_ Simplify. 10 5 2 The solution set is m ßm ≥ -_ and is graphed below. 5 Ϫ1 0 1 2 3. Solve 3(2q - 4) > 6. Graph the solution set on a number line. com Lesson 1-5 Solving Inequalities 35 Write an Inequality DELIVERIES Craig is delivering boxes of paper.

GEOMETRY The perimeter of a regular octagon is 124 inches. Find the length of each side. 50 each Write an algebraic expression to represent each verbal expression. 44. the square of the quotient of a number and 4 45. the cube of the difference of a number and 7 GEOMETRY For Exercises 46 and 47, use the following information. The formula for the surface area of a cylinder with radius r and height h is π times twice the product of the radius and height plus twice the product of π and the square of the radius.

### Algebra 2, Student Edition by McGraw-Hill Education

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