University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2013
Views:

371

Pages:

2
Author:

Lauren Larson

Header: Foundations of Math II Name Date Period Section 1: Simplify Problem 1: (-6x^5y^8)(12x^2y^4) Problem 2: -72xy Problem 3: (14x^3y^5z)/(20xy^8z) Problem 4: ((15x^-4)/(18x^-7))^2 Problem 5: (6x^2)/(15y^-3) * (12x^-7y^-3)/(9x^2) Problem 6: 5x^0 Problem 7: (7x^2)/(10y^3) Problem 8: (5x^3/6)^2 Problem 9: (72x^1y^-2)/(135x^2y^-3) Problem 10: 5(1) Section 2: Simplify. Express answers in simplest radical form. Problem 11: 5√(72) Problem 12: √(128x^17y^11z^5) Problem 13: -5√(90x^3y^2) Problem 14: √(24x^16y^22) Problem 15: 3x^3y^2z√(243x^7yz^10) Problem 16: 2√(11) + 8√(3) + 5√(11) Problem 17: (√(72x^4) + √(98x^4))/249 Problem 18: 4√(3) + 5√(54) Problem 19: √(54) + √(128) + √(250) Section 3: Rewrite each of the following in exponential form. Problem 20: √(2x) Problem 21: 3√(m) Problem 22: √(6xy) Problem 23: 4√(5) Problem 24: 5x√(y) Section 4: Rewrite each of the following in radical form and then evaluate. Problem 25: (-8)^(4/3) Problem 26: (64/27)^(2/3) Problem 27: 36^(1/5) Problem 28: (-27)^(4/3) Problem 29: 4^(-3/2) Problem 30: (-27)^(4/3) Section 1: Solve and check. Problem 27: √(x-4) + 6 = 4 Problem 28: 4√(3x-5) - 7 = 1 Problem 29: √(5-x) - 1 = 3 Problem 30: √(11-x) - √(x+9) = 0 Problem 31: √(x+1) - 4 = 2 Problem 32: (x+3)^2 = 5 Problem 33: (x-2)^2 - 4 = 12 Problem 34: 2(3x+1)^2 + 8 = 40 Section 2: Find the domain and range of each function using your graphing calculator. Problem 35: √(x) Problem 36: √(x-3) + 5 Problem 37: 2√(x) + 5 Problem 38: √(x+2) - 6 Section 3: Solve. Problem 39: (7/8)x + (3/4) = (1/2)x + (3/2) Problem 40: (11/2) - (5/x) = (6/x) * 2x Problem 41: Word problem about Peter and Dan painting a house together. Problem 42: Word problem about Libby and Lauren cleaning houses together. Section 4: Write an inverse variation equation that relates x and y. Varies inversely as x. Then solve. Problem 43: If y = 5 when x = 20, find y when x = 25. Problem 44: If y = 8 when x = 5, find x when y = 10. Problem 45: Find the value of y when x = 2 if y = 4 when x = 6.