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Test Bank for Algebra And Trigonometry, 11th Edition

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    Ch. 0 Chapter R: Review 0.1 Real Numbers 1 Work with Sets MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set. 1) B ∪ C A) {1, 2, 3, 4, 5, 7, 9} B) { } C) {0} D) {1, 2, 3, 5, 7, 9} 2) A ∪ C A) {1, 2, 3, 4, 5, 8, 9} B) {4, 6, 7, 9} C) {1} D) {1, 2, 3, 5, 7, 9} 3) A ∩ B A) {2, 3, 5} B) {1, 2, 3, 5, 7, 8} C) {2, 3, 5, 7} D) {1, 2, 3, 5, 8} 4) A ∩ C A) {1} B) {1, 2, 3, 4, 5, 7, 8, 9} C) {4, 6, 7, 9} D) {1, 2, 3, 5, 7, 9} 5) (A ∩ B) ∪ C A) {1, 2, 3, 4, 5, 9} B) {1, 2, 3, 5} C) {1, 2, 3} D) {2, 3, 5} 6) (B ∪ C) ∩ A A) {1, 2, 3, 5} B) {1, 2, 3, 4, 5, 7, 9} C) { } D) {1, 2, 3} 7) B A) {0, 1, 4, 6, 8, 9} B) {1, 4, 6, 8, 9} C) {0, 1, 4, 6, 7, 8, 9} D) {0, 1, 4, 6, 9} 8) A ∪ B A) {0, 4, 6, 9} B) {4, 6, 9} C) {1, 4, 6, 8, 9} D) {1, 2, 3, 5, 7, 8} 9) A ∩ C A) {0, 2, 3, 4, 5, 6, 7, 8, 9} B) {1} C) {1, 2, 3, 4, 5, 7, 8, 9} D) {1, 2, 3, 4, 5, 6, 7, 8, 9} 10) B ∩ C A) {0, 6, 8} B) {6, 8} C) {1, 2, 3, 4, 5, 7, 9} D) { } 2 Classify Numbers MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List all the elements of B that belong to the given set. 1) B = 8, 7, - 23, 0, 3 5 , - 5 3 , 8.7 Integers A) {8, - 23, 0} B) {8, 0} C) {8, - 23} D) {8, 0, 7} Page 1

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    2) B = 12, 8, - 20, 0, 1 4 , - 4, 8.5 Natural numbers A) {12} B) 12, 0, - 4 C) {12, 0} D) { - 20, 0, 12} 3) B = 17, 6, - 18, 0, 0 3 Real numbers A) 17, 6, - 18, 0, 0 3 B) {17, - 18, 0} C) 17, - 18, 0, 0 3 D) 17, - 18 4) B = 8, 8, - 8, 0, 0 9 , 0.85 Rational numbers A) 8, - 8, 0, 0 9 , 0.85 B) {8, 0} C) { 8} D) 8, 0 9 , 0.85 5) B = 10, 5, - 14, 0, 0 3 , 0.02 Irrational numbers A) { 5} B) { 5, 0.02} C) 5, 0 3 D) 5, 0 3 , 0.02 6) B = {16, 6, - 7, 0, 5 9 , - 9 5 , 5.1, 16 π , 0.166166166...} Integers A) {16, - 7, 0} B) {16, 0} C) {16, - 7} D) {16, 0, 6} 7) B = {6, 7, - 19, 0, 1 8 , - 8, 7.1, 7 π , 0.747474...} Natural numbers A) {6} B) 6, 0, - 8 C) {6, 0} D) { - 19, 0, 6} 8) B = {9, 6, - 11, 0, 0 2 , 16, 0.17, - 6 π , 0.161616...} Rational numbers A) 9, - 11, 0, 0 2 , 16, 0.17, 0.161616... B) 9, - 11, 0, 0 2 , 0.17 C) 9, - 11, 0, 0 2 , 0.17, 0.161616... D) 9, - 11, 0, 0 2 , 16, 0.17, - 6 π , 0.161616... 9) B = {11, 8, - 4, 0, 0 9 , , 0.21, - 8 π , 0.444...} Irrational numbers A) { 8, - 8 π } B) { 8} C) 8, 0 9 , - 8 π D) { 8, - 8 π , 0.444...} Page 2

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    Approximate the number rounded to three decimal places, and truncated to three decimal places. 10) 3.4748 A) 3.475 3.474 B) 3.476 3.474 C) 3.475 3.475 D) 3.474 3.475 11) 1.14285714 A) 1.143 1.142 B) 1.144 1.142 C) 1.143 1.143 D) 1.142 1.143 12) 20 9 A) 2.222 2.222 B) 2.223 2.222 C) 2.222 2.223 D) 2.223 2.223 3 Evaluate Numerical Expressions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the statement using symbols. 1) The sum of 28 and 7 is 35. A) 28 + 7 = 35 B) 28 7 = 4 C) 28 ∙ 7 = 196 D) 28 - 7 = 21 2) The difference 10 less 2 equals 8. A) 10 - 2 = 8 B) 10 2 = 5 C) 10 + 2 = 12 D) 10 ∙ 2 = 20 3) The product of 65 and 13 equals 845. A) 65 ∙ 13 = 845 B) 65 13 = 5 C) 65 + 13 = 78 D) 65 - 13 = 52 4) The quotient 14 divided by 7 is 2. A) 14 7 = 2 B) 14 ∙ 7 = 98 C) 14 + 7 = 21 D) 14 - 7 = 7 5) The sum of four times x and 5 decreased by 7 is 8. A) 4x + 5 - 7 = 8 B) 4(x + 5) - 7 = 8 C) 7 - (4x + 5) = 8 D) 4(x + 5 - 7) = 8 6) Three times the difference of x and 8 is - 10. A) 3(x - 8) = - 10 B) 3 - x - 8 = - 10 C) 3x - 8 = - 10 D) 3 + x - 8 = - 10 7) The quotient of x and the sum of 5 and x. A) x 5 + x B) x + 5 + x C) x(5 + x) D) x + 5 x Evaluate the expression. 8) 1 - 5 + 9 A) 5 B) - 13 C) 15 D) - 3 Page 3

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    9) 7 + 4 7 A) 53 7 B) 49 7 C) 53 4 D) 49 4 10) 6 ∙ [6(3 - 5) - 8] A) - 120 B) 24 C) - 60 D) 20 11) 5 ∙ [2 + 4 ∙ (7 + 3)] A) 210 B) 300 C) 50 D) 296 12) 5 - (6 + 5 ∙ - 5 + 9) A) 15 B) - 5 C) 33 D) 27 13) 14 10 ∙ 2 7 A) 2 5 B) 5 2 C) 7 5 D) 5 7 14) 2 3 ∙ 1 + 1 2 A) 1 B) 2 3 C) 1 2 D) 3 15) 1 6 ∙ 9 - 1 3 + 8 A) 85 9 B) 55 6 C) 50 3 D) 17 9 16) 7 + 1 6 + 7 A) 8 13 B) 6 13 C) - 8 D) - 6 17) 3 - 1 1 - 3 A) - 1 B) 3 C) - 3 D) 2 18) 7 9 + 1 15 A) 38 45 B) 1 3 C) 1 45 D) 38 3 19) 8 9 - 2 7 A) 38 63 B) 2 21 C) 2 3 D) 38 9 Page 4

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    20) 8 9 3 5 A) 40 27 B) 27 40 C) 8 15 D) 15 8 21) 1 4 + 1 7 ∙ 1 5 A) 39 140 B) 11 140 C) 33 28 D) 1 70 4 Work with Properties of Real Numbers MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the Distributive Property to remove the parentheses. 1) 2(x + 3) A) 2x + 6 B) 2x + 3 C) x + 6 D) 6x 2) 4x(x + 5) A) 4x 2 + 20x B) 4x 2 + 5 C) x 2 + 20x D) 20x 2 3) 3(7x + 4) A) 21x + 12 B) 10x + 7 C) 21x + 4 D) 33x 4) 3 2 3 x + 1 6 A) 2x + 1 2 B) 2x + 1 3 C) 2x + 1 6 D) 2 3 x + 1 2 5) (x + 3)(x + 4) A) x2 + 7x + 12 B) x2 + 12x + 7 C) x2 + 6x + 12 D) x2 + 7x + 7 6) (x + 2)(x - 7) A) x2 - 5x - 14 B) x2 - 14x - 5 C) x2 - 6x - 14 D) x2 - 5x - 5 7) (x + 3)(x - 3) A) x2 - 9 B) x2 - 6 C) x2 - 6x - 9 D) x2 + 6x - 9 Page 5

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    0.2 Algebra Essentials 1 Graph Inequalities MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. On the real number line, label the points with the given coordinates. 1) - 7, - 5, - 3, - 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 A) -8 -7 -6 -5 -4 -3 -2 -1 0 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 B) -8 -7 -6 -5 -4 -3 -2 -1 0 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 C) -8 -7 -6 -5 -4 -3 -2 -1 0 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 D) -8 -7 -6 -5 -4 -3 -2 -1 0 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2) - 3.75, - 1, 1, 3.25 -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 A) -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 B) -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 C) -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 D) -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 3) 6 5 , - 6 5 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 A) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 B) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 C) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 D) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 Insert < , > , or = to make the statement true. 4) - 9 - 8 A) < B) > C) = 5) - 0.1 - 1.6 A) > B) < C) = 6) - 88 - 80 A) < B) > C) = Page 6

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    7) 20 - 20 A) > B) < C) = 8) 1 5 0.2 A) = B) < C) > 9) 1.41 2 A) < B) > C) = 10) 3.14 π A) < B) > C) = Write the statement as an inequality. 11) y is positive A) y > 0 B) y < 0 C) y ≤ 0 D) y ≥ 0 12) y is greater than - 92 A) y > - 92 B) y < - 92 C) y ≥ - 92 D) y ≤ - 92 13) y is greater than or equal to 65 A) y ≥ 65 B) y > 65 C) y < 65 D) y ≤ 65 14) z is less than or equal to 1 A) z ≤ 1 B) z < 1 C) z > 1 D) z = 1 15) x is less than 5 A) x < 5 B) x > 5 C) x ≤ 5 D) x ≥ 5 Graph the numbers on the real number line. 16) x > - 3 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 A) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 C) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 D) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 Page 7

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    17) x < - 7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 A) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 C) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 D) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 18) x ≥ 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 A) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 C) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 D) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 Page 8

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    19) x ≤ 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 A) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 B) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 C) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 D) -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 2 Find Distance on the Real Number Line MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the given real number line to compute the distance. 1) Find d(A, B) -5 -4 -3 -2 -1 0 1 2 3 4 5 A B -5 -4 -3 -2 -1 0 1 2 3 4 5 A B A) 2 B) - 2 C) 3 D) 1 3 Evaluate Algebraic Expressions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression using the given values. 1) x + 8y x = - 2, y = - 3 A) - 26 B) - 5 C) - 19 D) 6 2) - 6xy + 6y - 4 x = - 2, y = - 1 A) - 22 B) - 18 C) - 14 D) 2 3) - 10x + y x = - 3, y = - 3 A) 27 B) - 33 C) - 6 D) - 13 4) 15x - 5y 5 x = 9, y = 7 A) 20 B) 26 C) 34 D) 12 5) 6x - 7y x + 3 x = 10, y = 6 A) 18 13 B) 34 13 C) 34 9 D) 2 Page 9

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    6) 4xy + 15 x x = 5, y = 7 A) 31 B) 7 C) 43 D) 3 7) x + y x = - 8, y = 3 A) 5 B) 11 C) - 5 D) - 11 8) x + y x = - 8, y = 2 A) 10 B) 6 C) - 10 D) - 6 9) 6x - 7y x = 9, y = 9 A) 9 B) 117 C) - 9 D) - 117 10) |x| x + |y| y x = 6 and y = - 3 A) 0 B) 2 C) 1 D) - 1 11) |6x + 10y| x = - 3, y = - 2 A) 38 B) 2 C) 42 D) 18 12) 4 x + 5 y x = 9, y = - 6 A) 66 B) 6 C) - 66 D) - 6 Use the formula C = 5 9 (F - 32) for converting degrees Fahrenheit into degrees Celsius to find the Celsius measure of the Fahrenheit temperature. 13) F = - 13° A) - 25° C B) - 20° C C) - 30° C D) - 15° C Express the statement as an equation involving the indicated variables. 14) The area A of a rectangle is the product of its length l and its width w. A) A = lw B) A = l + w C) A = 2(l + w) D) A = l w 15) The perimeter P of a rectangle is twice the sum of its length l and its width w. A) P = 2(l + w) B) P = l + w C) P = lw D) P = 2lw 16) The circumference C of a circle is the product of π and its diameter d. A) C = π d B) C = π d C) C = π + d D) C = 2 π d 17) The area A of a triangle is one - half the product of its base b and its height h. A) A = 1 2 bh B) A = 2bh C) A = 1 2 (b + h) D) A = bh 18) The volume V of a sphere is 4 3 times π times the cube of the radius r. A) V = 4 3 π r 3 B) V = 4 3 π r 2 C) V = 4 3 π 3 r D) V = 4 3 π r Page 10

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    19) The surface area S of a sphere is 4 times π times the square of the radius r. A) S = 4 π r 2 B) S = 4 π r C) S = 4 π r D) S = π r 2 20) The volume V of a cube is the cube of the length x of a side. A) V = x 3 B) V = 3 x C) V = 3x D) V = x 2 21) The surface area S of a cube is 6 times the square of the length x of a side. A) S = 6x 2 B) S = 6x C) S = 6 + x 2 D) S = x 2 Solve the problem. 22) The weekly production cost C of manufacturing x calendars is given by C(x) = 29 + 3x, where the variable C is in dollars. What is the cost of producing 213 calendars? A) $668.00 B) $6180.00 C) $639.00 D) $242.00 23) At the beginning of the month, Christopher had a balance of $196 in his checking account. During the next month, he wrote a check for $19, deposited $90, and wrote another check for $180. What was his balance at the end of the month? A) $87 B) - $87 C) - $93 D) $93 4 Determine the Domain of a Variable MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine which value(s), if any, must be excluded from the domain of the variable in the expression. 1) x 2 - 64 x A) x = 0 B) x = 8, x = - 8 C) x = 8, x = 0 D) x = - 8 2) 7x - 2 x 2 - 16 A) x = 4, x = - 4 B) x = 16 C) x = 4 D) x = 2 7 3) x 3 + 7x 4 x 2 + 36 A) x = 0, x = - 1 7 B) x = - 36 C) x = - 6 D) none 4) x 2 + 6x + 9 x 3 - 9x A) x = 3, x = - 3, x = 0 B) x = 3, x = - 3 C) x = 0 D) x = 3, x = 0 5) x x - 8 A) x = 8 B) x = - 8 C) x = 0 D) none 6) 2 x + 2 A) x = - 2 B) x = 2 C) x = 0 D) none Page 11

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    7) x - 8 x - 3 A) x = 3 B) x = - 3 C) x = 0 D) none 5 Use the Laws of Exponents MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression. 1) 5 4 A) 625 B) 20 C) - 625 D) - 20 2) - 4 2 A) - 16 B) 8 C) 16 D) - 8 3) 5 - 2 A) 1 25 B) - 25 C) 25 D) 1 10 4) ( - 5) - 4 A) 1 625 B) - 625 C) 625 D) - 1 625 5) - 4 - 2 A) - 1 16 B) - 16 C) 16 D) 1 8 6) ( - 4) 3 A) - 64 B) 64 C) - 12 D) 12 7) 2 - 5 ∙ 2 2 A) 1 8 B) 8 C) 4 D) 1 16 8) (4 - 1 ) - 2 A) 16 B) 1 16 C) 1 4 D) 4 Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0. 9) (6xy) 3 A) 216x 3 y 3 B) 216xy C) 6x 3 y 3 D) 1 216x 3 y 3 10) (12x 3 ) - 2 A) 1 144x 6 B) 144x 6 C) x 6 144 D) 144 x 6 Page 12

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    11) ( - 5x 3 ) - 1 A) - 1 5x 3 B) - 1 125x 3 C) 1 5x 3 D) 1 125x 3 12) (x 9 y - 1 ) 8 A) x 72 y 8 B) y 8 x 72 C) 1 x 72 y 8 D) x 72 y 8 13) (x - 2 y) 6 A) y 6 x 12 B) y 6 x 2 C) 1 x 12 y 6 D) x 12 y 6 14) x - 2 y 2 xy 7 A) 1 x 3 y 5 B) 1 xy 5 C) y 5 x 3 D) x y 5 15) x - 3 y 8 x 5 y 11 A) 1 x 8 y 3 B) x 8 y 3 C) y 3 x 8 D) x 8 y 3 16) 4x - 1 5y - 1 - 3 A) 125x 3 64y 3 B) 64x 3 125y 3 C) 125y 3 64x 3 D) 64y 3 125x 3 17) 9x - 3 8y - 3 - 1 A) 8x 3 9y 3 B) 9x 31 8y 31 C) 8y 3 9x 3 D) 9x 3 8y 3 18) (x - 9 y 2 ) - 4 z 3 A) x 36 z 3 y 8 B) y 8 z 3 x 36 C) x 36 y 8 z 3 D) y 8 x 36 z 3 19) - 4x 4 y - 4 5z 7 - 1 A) 5y 4 z 7 - 4x 4 B) - 4x 4 5y 4 z 7 C) 5z 7 - 4x 4 y 4 D) 5y 4 - 4x 4 z 7 Page 13

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    Evaluate the expression using the given value of the variables. 20) (x + 4y)2 for x = 2, y = 2 A) 100 B) 10 C) 20 D) 36 21) - 3x - 1 y 2 for x = - 2, y = - 2 A) 6 B) 2 3 C) 3 8 D) 24 22) 4x 2 + 5y 2 for x = - 3, y = 3 A) 81 B) 51 C) - 9 D) 33 23) 7x 3 + 4x 2 - 2x - 3 for x = 1 A) 6 B) 10 C) - 2 D) 12 Solve. 24) What is the value of (6666) 4 (3333) 4 ? A) 16 B) (2222) 4 C) 48 D) (3333) 4 6 Evaluate Square Roots MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression. 1) 4 A) 2 B) 16 C) 1 4 D) not a real number 2) ( - 5) 2 A) 5 B) 625 C) 1 25 D) not a real number Find the value of the expression using the given values. 3) x 2 x = - 6 A) 6 B) 2 3 C) - 6 D) - 2 3 4) ( x) 2 x = 9 A) 9 B) 81 C) 1 81 D) 1 9 5) x 2 + y 2 x = 15, y = 20 A) 25 B) 13 C) 18 D) 24 6) x 2 + y 2 x = - 3, y = 1 A) 10 B) 4 C) - 2 D) 3 7) x 2 + y 2 x = - 9, y = - 4 A) 13 B) - 5 C) 97 D) 5 Page 14

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    8) y x x = - 1, y = 4 A) 1 4 B) 4 C) - 4 D) - 1 4 7 Use a Calculator to Evaluate Exponents MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a calculator to evaluate the expression. Round the answer to three decimal places. 1) ( - 1.57) - 5 A) - 0.105 B) 0.105 C) - 9.539 D) 9.539 2) - ( - 1.57) - 2 A) - 0.406 B) 0.406 C) - 2.465 D) 2.465 3) (4.49) 2 A) 20.160 B) - 20.160 C) - 0.050 D) 0.050 8 Use Scientific Notation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the number in scientific notation. 1) 10,913 A) 1.0913 × 10 4 B) 1.0913 × 10 5 C) 1.0913 × 10 - 4 D) 1.0913 × 10 1 2) 308.57 A) 3.0857 × 10 2 B) 3.0857 × 10 - 2 C) 3.0857 × 10 1 D) 3.0857 × 10 - 1 3) 754.294 A) 7.54294 × 10 2 B) 7.54294 × 10 - 2 C) 7.54294 × 10 1 D) 7.54294 × 10 - 1 4) 819,000 A) 8.2 × 10 5 B) 8.2 × 10 - 5 C) 8.2 × 10 4 D) 8.2 × 10 - 4 5) 33,000,000 A) 3.3 × 10 7 B) 3.3 × 10 - 7 C) 3.3 × 10 8 D) 3.3 × 10 - 8 6) 0.000486 A) 4.86 ∘ 10 - 4 B) 4.86 × 10 4 C) 4.86 × 10 - 5 D) 4.86 × 10 - 3 7) 0.00006693 A) 6.693 × 10 - 5 B) 6.693 × 10 5 C) 6.693 ± 10 - 4 D) 6.693 × 10 4 8) 0.0000027813 A) 2.7813 × 10 - 6 B) 2.7813 × 10 6 C) 2.7813 × 10 - 5 D) 2.7813 × 10 - 7 9) 0.000000666012 A) 6.66012 × 10 - 7 B) 6.66012 × 10 7 C) 6.66012 × 10 - 6 D) 6.66012 × 10 6 Page 15

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