equivalent ANSWER 2, 3 ANSWER Prerequisite Skills VOCABULARY CHECK Copy and complete the statement 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.” ?

Prerequisite Skills SKILLS CHECK Perform the indicated operation – ANSWER ANSWER 1 12 ANSWER

9. 23% 8. 4% Prerequisite Skills SKILL CHECK Write the percent as a decimal. ANSWER 0.23 ANSWER ANSWER % % ANSWER 0.025

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

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

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

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

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

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

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.

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