Test 1 (PreTest)

# Test 1 (PreTest) - PreCalculus PreTest#1 Real Test is on...

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Unformatted text preview: PreCalculus PreTest #1 Real Test is on Friday, October 3 Name___________________________________ Date ____________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. State the solution set of the inequality in interval notation and sketch its graph. 1) x < 0 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 2) -2 x 2 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 State the solution set of the inequality in interval notation and sketch its graph. 3) 12 2x + 4 16 4) 3x - 2 2x - 9 List all numbers from the given set B that are members of the given Real Number subset. 6 5) B = {9, 8, -7, 0, , 25, 0.4, 0.16} Irrational numbers 7 8 6) B = {9, 6, -16, 0, , 4, 0.4, 0.35} Rational numbers 9 7) B = {4, 7, -10, 0, 0.1, 4} Integers Simplify the exponential expression. x10 8) x6 9) x2 y-5 x-9 x3 10) 1 11) (x2 )-7 12) (-6x5 )(9x7 ) 56x12y9 0 7x4 y2 4x4 y3 3 z3 x-3 -4 y6 xy3 -2 x5 y 12x-5 y-2 z 3 -1 3xy-2 z -3 5x3 -4 y2 13) 14) 15) 16) 17) 18) Use the product rule to simplify the expression. 19) 320x2 Use the quotient rule to simplify the expression. 96x3 20) 6x Add or subtract terms whenever possible. 21) 6 7 + 7 63 Rationalize the denominator. 144 22) 7 5 8 - 10 23) Simplify the radical expression. 3 24) x4 2 Simplify using properties of exponents. 90x3/2 25) 10x2/3 26) (2x2/3 )(5x1/4 ) 27) (4x6 y10)1/2 Simplify by reducing the index of the radical. 10 28) x8 Perform the indicated operations. Write the resulting polynomial in standard form. 29) (-7x5 - 17x3 - 8) + (4x5 + 11x3 - 10) 30) (9x5 - 2x4 - 5x3 + 2) - (4x5 + 9x4 - 2x3 - 4) Find the product. 31) (x + 12)(x2 + 3x - 8) 32) (10x - 9y + 12)(10x - 9y - 12) Factor the polynomials 33) x7 - 12x2 Factor the polynomial 34) 8x2 + 20x - 6x - 15 Factor the polynomials 35) x2 + 2x - 99 Factor the polynomials 36) 15y2 - 19y + 6 Factor the polynomials 37) 9x2 - 121y2 Simplify the rational expression. 3x + 6 38) 2 + 13x + 6 5x Find domain of the function. 39) f(x) = 9 - x2 3 Multiplying rational expressions x2 + 10x + 24 x2 + 9x 40) x2 + 13x + 36 x2 + 3x - 18 Dividing rational expressions x2 + 3x x2 + 7x + 12 41) x2 + 8x + 16 x2 + 6x + 8 Add. Simplify the result, if possible. x2 - 5x 6 42) + x - 3 x - 3 Perform the indicated operations. Simplify the result, if possible. 4 4 43) + x x + 2 x + 6 x2 - 7x + 10 3x - 1 x2 + 2x - 8 44) + Simplify the expression. 1 x - 8 x 45) x Simplify the complex rational expression. x + 1 x + 2 46) 3 + 1 x2 - 4 47) 1 x + 6 5 2 - 36 x 48) 3 1 - 2 - 4x - 21 x - 7 x 1 + 1 x + 3 Rationalize the numerator. x + 3 - x 49) 3 4 Answer the question. 50) What is the distance between the points (-1, -3) and (3, 5)? 51) The coordinates of P are (-2, 1), and the coordinates of Q are (-3, -1). What are the coordinates of R such that Q is halfway between P and R? Find the equation of the circle satisfying the given conditions. 52) Center: (7, -10), radius: 7 53) Center at (2, -2) and containing the point (-4, 7). 54) Center at (6, -4) and tangent to the y-axis. 55) With endpoints of a diameter at (-1, -2) and (-7, 6). 5 Answer Key Testname: TEST 1 (PRETEST) 1) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 2) 3) [4, 6] -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 4) [-7, ) -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 5) 8 8 6) 9, -16, 0, , 4, 0.35, 0.4 9 7) 4, -10, 0, 4 8) x4 9) 10) 11) x2 y5 1 x12 1 x14 12) -54x12 13) 1 64x12y9 14) z9 15) x12y24 x8 16) y4 17) 18) x6 4z 6 y8 625x12 19) 8 x 5 20) 4 x 21) 27 7 12 7 22) 7 23) 40 + 5 10 54 3 x 6 24) x 25) 9x5/6 Answer Key Testname: TEST 1 (PRETEST) 26) 10x11/12 27) 2x3 y5 x4 29) -3x5 - 6x3 - 18 30) 5x5 - 11x4 - 3x3 + 6 28) 31) x3 + 15x2 + 28x - 96 32) 100x2 - 180xy + 81y2 - 144 33) 34) 35) 36) 37) x2 (x5 - 12) (4x - 3)(2x + 5) (x + 11)(x - 9) (3y - 2)(5y - 3) (3x + 11y)(3x - 11y) 3 38) 5x + 3 5 39) Domain = [-3,3]; range = [0,3] x 40) x - 3 41) x + 2 x 42) x - 2 8x + 8 43) x(x + 2) 44) 4x2 - 6x + 29 (x - 2)(x - 5)(x + 4) 1 8x 45) 1 - 46) 47) 2x - 4 x - 1 x - 6 5 x 2 - 3x - 28 x 1 x + 3 + x 48) - 49) 50) 4 5 51) (-4, -3) 52) (x - 7)2 + (y + 10)2 = 49 53) (x - 2)2 + (y + 2)2 = 117 54) (x - 6)2 + (y + 4)2 = 36 55) (x + 4)2 + (y - 2)2 = 25 7 ...
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## This note was uploaded on 02/03/2012 for the course MATH 101 taught by Professor Lee during the Spring '11 term at International Institute for Higher Education.

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