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Algebra 2 Name Assignment: Real Number and Algebra Review Period Date I. Classify numbers 1) Determine which numbers in the set are (a) natural numbers, (b) whole numbers, (c) integers, (d) rational numbers, and (e) irrational numbers. 7 2 9, ,5, , 2, 0,1, 4, 2, 11 2 3 II. Apply the rules for order of operations to evaluate each expression. 2) 4 + 49 ÷ 7 • 8 ÷ 2 + 4( 3² + 3 ) = 3) 3 + [ 8 ÷ ( 9 + 2(-4)) ] = III. Evaluate each expression if a = -5, b = 0.25, c = ½, and d = 4. 4) d ( 3 + c ) = 5) a + b + c = IV. Solve each of the following for the variable. 2 14 7 6) m 10 0 7) 7m 5 5 10 V. Find the value of y for the given value of x. 9) y x 2 4 x 5; x 2 8) m 6 3(1 10) y x 2 x 1; x 3 m ) 2 VI. In 11 - 13, solve for y 11) 3x 6 y 6 12) 2 x 2 5 y 1 In 14 - 17, solve for the indicated variable. 14) Area of a trapezoid Solve for b1 : A 1 (b1 b2 )h 2 16) Lateral Surface area of a right circular cylinder Solve for h : S 2 rh 18) 9 decreased by 4 times a number is 13. 13) 2 xy 1 xy 3 15) Volume for a right circular cylinder Solve for h: V r 2 h 17) Volume for a right circular cone Solve for h : V r2h 3 19) The sum of three consecutive integers is -306. Find the three integers