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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
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