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Intermediate Algebra: Everyday Explorations 5th edition by Alice Kaseberg, Greg Cripe, Peter Wildman Test Bank Link full download test bank: https://findtestbanks.com/download/intermediate-algebraeveryday-explorations-5th-edition-by-kaseberg-cripe-wildman-test-bank/ Using the table, determine f –5 x 1 A) B) C) D) E) 2 f xx + 3x + 0 12 20 30 42 20 12 Find the x-intercepts of the parabola: A) (3,0), (–2,0) B) (3,0) C) (0,–3), (0,3) D) (–3,0), (3,0) E) (0,–3), (–3,0) y Page 4x2 36 Using the graph, find the y-intercept point A) B) C) D) E) (4, 0) (0, 4) (3, 1) (1, 3) no y-intercept Using the graph, find the equation for the axis of symmetry A) B) C) D) E) y=3 y=4 x=1 x=4 x=0 Page Using the graph, find the vertex A) B) C) D) E) (1, 4) (4, 0) (0, 4) (3, 1) (1, 3) Find the minimum or maximum of the quadratic function: y x2 10x 10 A) Minimum: –15 B) Minimum: 35 C) Minimum: D) Minimum: 15 E) Maximum: –17 Find the x-intercepts of the parabola: A) (4,0), (–3,0) B) (4,0) C) (0,–4), (0,4) D) (–4,0), (4,0) E) (0,–4), (–4,0) y Page 4x2 64 Using the graph, find the equation for the axis of symmetry A) B) C) D) E) x= x=1 y=3 y=1 y= Page Find the vertex and axis of symmetry, and then graph the parabola given by: y –2x + 6x A) Vertex: ( , ) ; 2 B) Axis of symmetry: x = Vertex: ( , –25 ); Axis of symmetry: x = 2 C) Vertex: ( , –9 ); Axis of symmetry: x = Page 10 Using the graph, find the vertex A) 3, B) ,3 C) 0, 2 D) E) ,0 1, Page 11 Find the minimum or maximum of the quadratic function: y 4x 8x A) Minimum: –4 B) Minimum: –1 C) Minimum: 12 D) Minimum: E) Minimum: –3 12 Find the x-intercepts of the parabola: A) (3,0), (5,0) B) (3, 5) C) (0,–3), (5, 0) D) (–3,0), (5, 0) E) (0,–3), (0,5) y x 2x 15 13 Using a table and graph, find the equation for the axis of symmetry f x x – 6x – A) y = –3 B) y = C) y = –4 D) x = –3 E) x = Page 14 Find the vertex and axis of symmetry, and then graph the parabola given by: y – x + 2x – A) Vertex: (1, –2); Axis of symmetry: x = B) Vertex: (2, –1); Axis of symmetry: x = C) Vertex: (1, –1); Axis of symmetry: x = Page 15 Find the vertex of the following equation f x x + 4x – 10 A) 0, –10 B) –10, C) 2, – D) –6, E) –6, – 10 16 Find the minimum or maximum of the quadratic function: y x2 6x A) Maximum: –7 B) Maximum: C) Maximum: D) Maximum: –9 E) Minimum: 17 Find the x-intercepts of the parabola: A) (2,0), ,0 B) 2, C) (0,–2), ,0 D) (–2,0), ,0 E) (0,–2), 0, y 8x2 13x 18 The vertex of a parabola is (–7, –1) and opens upward What is the equation of the axis of symmetry of the parabola? A) y = –1 B) x = C) x = –7 D) y = E) x = –1 Page 19 Find the minimum or maximum of the quadratic function: y x 10x A) Maximum: B) Maximum: C) Maximum: D) Maximum: –4 E) Minimum: –5 20 Physics: The height, s, in feet, of a rock thrown upward at an initial speed of 76 ft/s from a cliff 40 ft above the ocean beach is given by the function s (t ) 16t 76t 40, where t is the time in seconds Find the maximum height above the beach that the rock will attain A) 130.25 ft B) 2.4 ft C) 130 ft D) 139.25 ft E) 122.25 ft 21 Use first and second differences to find out whether each sequence may be described with a linear function, a quadratic function, or neither Use the table method to fit a linear or quadratic equation 1, 8, 11, 37, 640 , A) linear; y x B) C) quadratic; y 2x quadratic; y 2x2 D) linear; y 2x E) neither Page 10 48 Multiply: 5a a A) B) C) D) E) 5a – 13a 5a +13a 5a 2a 5a – 13a 5a +13a 49 Multiply: 4y y A) B) C) D) E) y +14 y y –14 y 4y2 2y y +14 y y –14 y 50 Multiply: 7y 3y A) B) C) D) E) 21y –9y 21y – 30 y 21y + 30 y 21y – 30 y 21y – y 51 Multiply: a 2b a 6b A) B) C) D) E) a +10 ab 12b2 a – 10 ab 12b2 2a + 2ab 12b2 2a – 10ab 12b2 2a – 12ab 12b2 Page 18 52 Multiply: 3(3 x y )(3 x y) A) B) 27x 27xy 30 y2 9x 9xy 10 y C) 2 27x 27xy 30 y D) 27x 27xy 30 y2 E) 2 9x 9xy 10 y 53 Multiply: ( xy 9)( xy 4) A) B) C) D) E) 2 x x x x 8x y y y y 4 B) 5xy 36 54 Multiply: 4x2 A) x y 8x C) 8x D) 8x E) 8x 9xy 36 4xy 36 5xy 36 36 y 2x 8x x4 x x4 x4 x4 y 4y 2 12x y y 2 4x y y 2 12x y y 4y 55 Multiply: x2 5x x2 A) B) C) D) E) y 2x 3 2x 2x 2x 2x 7x – 28x 2 – 28x – 28x – 28x – 28x 59x 59x 59x 59x 59x 18 18 18 18 18 Page 19 56 Multiply: ( a 4)(4 a 2)( a 8) A) B) C) D) E) 4a + 14a 136a 64 136a 64 136a 64 4a + 14a 4a + 14a 4a + 14a 4a – 14a 136a 64 136a 64 57 Identify answers that are perfect square trinomials or differences of squares 6x 4x A) B) C) D) E) 6x 18x 24x + 30x 24x – 30x 24x + 30x 24x 9x 30 58 Identify answers that are perfect square trinomials or differences of squares a 7b a 5b A) 2a + 9ab 35b2 B) C) D) 2a – 9ab 35b 2a – 14ab 35ab2 2a – 9ab 35b2 E) 2a 2 2 + 5ab 35b 59 Identify answers that are perfect square trinomials or differences of squares a 4b a 3b A) B) C) D) E) 2a + 2ab 12b2 2a – 2ab 12b2 2a + 4ab 12b2 2 2a – 2ab 12b 2a – 6ab 12b2 Page 20 60 Factor: a2 4a A) a a B) C) a 2 a 2 D) a a E) Nonfactorable 61 Factor: a 10 a 25 A) a a B) C) a 52 a D) a a E) Nonfactorable 62 Factor: x2 x A) x x B) C) x 32 x D) x x E) Nonfactorable 63 Factor: x2 8xy 16 y2 A) x y x y B) C) x 4y2 x 4y D) 4y x 4y x E) Nonfactorable Page 21 64 Factor: a2 25 A) a a B) C) a a D) a a E) Nonfactorable 65 Factor: 25c A) 5c 5c B) C) 5c 5c D) 5c 5c E) Nonfactorable 66 Factor: b12 A) b6 b6 B) b C) b 2 b b6 D) E) Nonfactorable 67 Factor: 25x y2 A) y x y 5x B) C) x 3y x 3y D) x y x 3y E) Nonfactorable Page 22 68 Factor: 36b c2 49 A) 6bc 6bc B) C) 6bc 2 6bc D) 6bc 6bc E) Nonfactorable 69 Multiply: 2 (9x 3)(x 3) A) x 27 x2 B) C) D) E) 9x 9x 9x x4 30 x 3x 30 x 9 70 Multiply: x y 2x y A) B) 16x 4 16x C) 16x 4 D) 16x E) 16x 16x 2 y 8y 24x y 8y 2 8x y y 2 24x y 8y 8y 71 Factor the following expression: x3 512 A) B) C) D) E) ( x 8) x x 64 ( x 8) x x 64 ( x 8) x x 64 ( x 8) x x 64 Nonfactorable Page 23 72 Factor the following expression: y3 729 A) B) C) D) E) ( y 9) y y 81 ( y 9) y y 81 ( y 9) y y 81 ( y 9) y y 81 Nonfactorable 73 Factor the following expression: 64 a3 125 A) (4 a 5) 16 a 20 a 25 B) (4 a 5) 16 a 20 a 25 C) (4 a 5) 16 a 20 a 25 D) (4 a 5) 16 a 20 a 25 E) Nonfactorable 74 Factor the following expression: 3 27x 64 y A) (3 x y ) x 16 y2 B) (3 x y ) x 12 xy 16 y2 C) (3 x y ) x 12 xy 16 y2 12 xy 16 y2 D) (3 x y ) x E) Nonfactorable 75 Solve: x x A) 4, B) 4, C) 4, D) 4, E) No solution Page 24 76 Solve: x2 11x 18 A) 2, B) 2, C) 2, D) 2, E) No solution 77 Solve: x2 13 x36 A) 4, B) 4, C) 4, D) 4, E) No solution 78 Solve: y2 25 A) 5, B) 0, 25 C) 0, D) E) No solution 79 Solve: 49 a2 A) B) 0, 0, 49 C) D) E) , 7 No solution Page 25 80 Solve: z2+3z A) – B) 0, C) 0, –3 D) –3, E) No solution 81 Solve: a – 24 a A) B) 0, C) 0, –4 D) 4, –4 E) No solution 82 Solve: b b+2 0 A) – B) 0, C) 0, –2 D) –2, E) No solution 83 Solve: z 5z+2 A) B) C) –5 0, 0, – D) –5, E) No solution Page 26 84 Solve: c 12 c 20 A) 2, 10 B) 2, 10 C) 2, 10 D) 2, 10 E) No solution 85 Solve: x – 23 x A) 2, B) 10 ,5 C) ,5 D) , E) No solution 86 Solve: 11y – 50 y 25 A) 5, B) 11 C) 11 D) 11 E) ,5 ,5 , No solution 87 Identify the function whose graph will make a steeper parabola 2 f (x ) 3.78x or g (x )x A) f ( x) B) g ( x) C) They are equal Page 27 88 Identify the function whose graph will make a steeper parabola g (x ) x or h (x ) 4x2 A) g(x) B) h(x) C) none 89 Identify the function whose graph will make a steeper parabola k (x ) 4.3x or g (x ) A) g x B) x k x C) none 90 Identify the function whose graph will make a steeper parabola g (x ) 2.514x or h(x ) 2.62x2 A) g ( x) B) h ( x) C) none 91 Identify the function whose graph will make a steeper parabola f (x ) x or g (x ) x A) f ( x) B) g ( x) C) They are equal 92 Describe the shift of y (2x) A) shift units to the left B) shift units to the left C) shift units to the right D) shift units to the right E) shift units up by y (2x Page 28 4) 93 94 Describe the shift of y x in terms of the value of A) shift r units to the left B) shift r units up C) shift r units to the right and r units up D) shift r units to the right E) shift r units down r in y ( x r) if r is positive A graph has the same shape as y x Its vertex is (0, 6) What is its equation? (There are two possibilities.) A) B) C) D) E) y x2 or yx y x2 or yx y x2 or yx y x2 or yx y x2 or y x2 6 6 Page 29 Answer Key 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 E D B C E A D A A B A D D A C A D C A A E C C B A E C E D C D C E C A C E D A A C B D A Page 30 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 D A D E B B D A A B D B B D D C B E C A D A D D B B B B A B C D A A C C B C C A C C A B B B Page 31 91 92 93 94 B B D C Page 32