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Exponent Rational Polynomials Expressions Equations Cubic Functions Chance 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 100 True or False: The expression 8x-5x31/2x represents a polynomial. 100 True 200 Write the polynomial in standard form. 6-3x2+x – 4x3 200 -4x3 – 3x2 + x + 6 300 Write the polynomial in standard form and give the degree. 2a(a2 – 5 + a) 300 2a3 + 2a2 – 10a 400 What is the coefficient of the third term from the left after it has been written in standard form. 6p – 2p2 + 4 + p5 400 6 500 Write a polynomial expression for the volume of a rectangular prism whose dimensions are 3x, x+2 and x. 500 3x3+6x2 Hint: V=L(w)(h) 100 Simplify: x3 * x-2 * x4 100 x5 200 Simplify: (3a-2)3 200 27 a6 300 Simplify: (2y2/y3)2 300 4 y2 400 Factor Completely: 4a4 – 12a3 + 8a2 400 4a(a – 2)(a – 1) 500 Factor Completely: 15x2y3 – 21xy5 500 3xy3(5x – 7y2) 100 True or False: To solve the following equation, we must cross-multiply. 3 = 5 x x-2 100 True 200 True or False: To solve, we must use a common denominator. x - 4 = 2 x+2 x(x+2) x 200 True 300 Solve: 3 = x 5 x-2 300 x=-3 400 Solve: 2 = x+4 x– 5 5 400 x = 6 and x= -5 500 Solve: x - 4 = 2 x+2 x(x+2) x 500 x=4 (x = -2 is extraneous) 100 True or False: A function is a cubic function if the degree is 3. 100 True 200 How many x-intercepts does the cubic function have? y=2x(x – 3)(x + 4) 200 3 300 List the zeros of each function and tell which, if any, are double or triple zeros. y=x(x – 4)2 300 0, double 4 400 Solve for x. (2x+1)(x+5)(x – 9) =0 400 x = -1/2 x=-5, x = 9 500 Solve for x. x3 – 10x2 + 24x = 0 500 x=0, x=4, x=6 100 Classify the function as linear, quadratic, or cubic. y = -x2 + 5 100 quadratic 200 Classify the function as linear, quadratic or cubic. y = 4 – 2x 200 linear 300 Factor Completely. 16a3b8 + 18ab6 300 2ab6(8a2b2 + 9) 400 Solve using the quadratic formula. Round answers to the nearest hundredth. 0 = x2 – 5x – 3 400 x = 5.54 and x = -0.54 500 Write a cubic function that has two xintercepts and a double zero at 7. 500 Answers may vary, but the factor (x -7)2 must be included and there can only be two “x's”. y = x(x-7)2