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equivalent ANSWER 2, 3 ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2 3 1. In the fraction, is the numerator and is the denominator. ?? 2. Two fractions that represent the same number are called fractions. ? 100 ANSWER 3. The word percent (%) means “divided by.” ?

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Prerequisite Skills SKILLS CHECK Perform the indicated operation. 4. + 2 3 3 5 5. – 5 6 3 4 6.6. 3 5 2 3 7.7. 1 2 5 8 ANSWER 1 15 4 ANSWER 1 12 ANSWER 2 5 4 5

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9. 23% 8. 4% Prerequisite Skills SKILL CHECK Write the percent as a decimal. ANSWER 0.23 ANSWER 0.015 0.04 ANSWER 10. 1.5% 11. 2.5% ANSWER 0.025

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Prerequisite Skills SKILL CHECK 12. Find the perimeter and area of the rectangle. 11 in. 4 1 2 ANSWER 31 in., 49 in. 2 1 2

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Substitute 3 for n. Multiply. = 39 Subtract. = 2 Substitute 3 for n. = 3 Divide. Evaluate the expression when n = 3. a. 13 n = 13 3 9 3 b. 9 n = c. n – 1 = Substitute 3 for n. Add. = 11 d. n + 8 = 3 – 13 – 1 3 + 8 EXAMPLE 1 Evaluate algebraic expressions

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GUIDED PRACTICE for Example 1 = 12 = 6 = 4 Evaluate the expression when y = 2. 1. 6y 2. 8 y 3. y + 4 = 9 4. 11 – y

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EXAMPLE 4 Evaluate powers Evaluate the expression. a. x 4 = 2 4 = 16 = (1.5)(1.5)(1.5) = 3.375 = 2 2 2 2 b. n 3 = 1.5 3 b. n 3 when n = 1.5 SOLUTION a. x 4 when x = 2

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GUIDED PRACTICE for Example 4 Evaluate the expression. 9. x 3 when x = 8 9. 51210. 6.25 10. k 3 when k = 2.5 ANSWER

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GUIDED PRACTICE for Example 4 Evaluate the expression. 11. d 4 when d = 1 3 11. 1 81 ANSWER

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SOLUTION EXAMPLE 5 Evaluate a power Storage cubes Write formula for volume. = 14 3 Substitute 14 for s. = 2744 Evaluate power. Each edge of the medium-sized pop-up storage cube shown is 14 inches long. The storage cube is made so that it can be folded flat when not in use. Find the volume of the storage cube. V = s3s3 The volume of the storage cube is 2744 cubic inches.

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GUIDED PRACTICE for Example 5 WHAT IF? In Example 5, suppose the storage cube is folded flat to form a square. Find the area of the square. The area of square is 196 in 2. ANSWER

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