Math 2200 Final Review (Multiple Choice)

Transcription

1 Math 2200 Name: I: Math 2200 Final Review (Multiple hoice) hapter Which of the following numbers occurs in the sequence 47, 40, 33, 26, 19,...? The common difference in the arithmetic sequence 1, 7, 13, 19,... is Which of the given formulas for the general term of the sequence 20, 25, 30, 35, 40,... is correct? t n = 5n 25 t n = 5n 15 t n = 5n 25 t n = 5n The sum of the series (3) + (7) + (11) + ë + (35) is The sum of an arithmetic series where t 1 = 9, t 3 = 1, and n = 19 is The common ratio for the geometric sequence 7, 0.7, 0.07, 0.007,... is In the formula for the general term of a geometric sequence t n = 13 4 n 1 Ê ˆ, the common ratio is Ë Á The eighth term in the sequence , , , 6144, is etermine the sum of the infinite geometric series What is the reference angle for 75 in standard position? What are the three other angles in standard position that have a reference angle of 58? 103, 148, , 174, , 238, , 238, 328 1

2 I: 12. What is the exact sine of? 1/ 3 1/3 2/ 3 1/2 13. What is the exact cosine of? 14. Which set of angles has the same terminal arm as 75? 435, 795, , 397.5, , 255, , 225, The point (32, 60) is on the terminal arm of. Which is the set of exact primary trigonometric ratios for the angle? sin = , cos =, tan = 17 8 sin = 8 15, cos = 17 17, tan = 8 15 sin = , cos =, tan = 8 8 sin = 15 17, cos = 8 15, tan =

3 I: 16. The coordinates of a point P on the terminal arm of an angle are shown. What are the exact trigonometric ratios for sinθ, cos θ, and tanθ? sin = 4 5, cos = 3 5, tan = 4 3 sin = 5 3, cos = 5 4, tan = 3 4 sin = 3 5, cos = 4 5, tan = 3 4 sin = 4 5, cos = 3 5, tan = What is the exact value for tan (240 )? etermine, to the nearest tenth of a centimetre, the two possible lengths of a. 18. Solve to the nearest tenth of a unit for the unknown side in the ratio a sin30 = 12 sin cm and 26.3 cm 34.3 cm and 26.3 cm 72.8 cm and 55.8 cm 55.8 cm and 34.3 cm 3

4 I: 20. etermine the measure of x, to the nearest tenth of a degree. 21. What is the length of x, to the nearest tenth of a metre? m 21.8 m 26.1 m 37.6 m 22. What are the x-intercepts of y = (x 6)(y 9)? 6 and 9 6 and 9 6 and 9 6 and What is the axis of symmetry of f(x) = 6(x 3) 2 7? x = 3 x = 7 x = 6 x = 3 4

5 I: 24. What is the quadratic function in vertex form for the parabola shown below? f( x) = 8(x 2) f( x) = 8(x + 1) f( x) = 8(x 1) f( x) = 8(x 1) What is the vertex of y = 4(x 9) 2 + 8? (9, 8) ( 4, 8) ( 9, 8) ( 8, 9) 26. Which graph represents the quadratic function y = 2 3 (x + 3)2 5? 5

6 I: 28. The vertex of a parabola is located at ( 5, 6). If the parabola has a y-intercept of 231, which quadratic function represents the parabola? f( x) = 9(x 5) f( x) = 9(x + 5) f( x) = 9(x + 5) f( x) = 9(x 5) What information can be determined from the quadratic function f( x) = 2 3 (x + 2)2 9? the vertex is at ( 2, 9) and the graph opens upward the vertex is at ( 9, 2) and the graph opens downward the vertex is at ( 2, 9) and the graph opens downward the vertex is at ( 9, 2) and the graph opens upward 27. What are the domain and range of y = 7(x 6) 2 + 9? omain: {x x R} Range: {y y 9, y R} omain: {x x R} Range: {y y 6, y R} omain: {x x 6,x R} Range: {y y R} omain: {x x 7, x R} Range: {y y R} 6

7 I: 30. Identify the characteristics of this graph. 31. What is g( x) = ( 2x + 6)(4x 14) written in standard form? g(x) = 8x x + 8 g(x) = 8x x 84 g(x) = 2x 2 8 g(x) = 8x What are the coordinates of the vertex of the quadratic function y = 4x 2 + 8x 2? ( 6, 1) (8, 2) ( 1, 6) (8, 6) vertex: ( 2, 5) axis of symmetry: x = 2 y-intercept: 10.5 x-intercepts: 3 and 7 opens downward vertex: ( 5, 2) axis of symmetry: x = 5 y-intercept: 10.5 x-intercepts: 3 and 7 opens upward vertex: ( 2, 5) axis of symmetry: x = 2 y-intercept: 10.5 x-intercepts: 3 and 7 opens upward vertex: ( 5, 2) axis of symmetry: x = 2 y-intercept: 10.5 x-intercepts: 3 and 7 opens downward 33. What is the function y = 2(x 4) 2 2 written in standard form? y = 2x 2 8x + 30 y = 2x 2 16x + 34 y = 2x 2 8x + 34 y = 2x 2 16x

8 I: 34. What is the equation of the quadratic function y = x 2 26x + 41 in vertex form? 37. What is/are the x-intercept(s) of the quadratic function graphed here? y = (x + 13) y = (x 13) y = (x + 13) y = (x 13) State whether the function y = 4x 2 36x 43 has a maximum or minimum value and identify the coordinates of the vertex. maximum at (4.5, 124) maximum at ( 124, 4.5) minimum at ( 124, 4.5) minimum at (4.5, 124) 36. How many x-intercepts does the graph of the quadratic function f( x) = 2.3x 2 6.9x 4.6 have? 2 and and What are the x-intercepts of the quadratic function graphed here? unknown there are none

9 I: 39. What is the x-intercept of the quadratic function graphed here? 40. What is/are the root(s) of the quadratic function y = 0.2x 2 1.4x + 2? 2 and 5 2 and What is/are the root(s) of the quadratic function y = 2.7x x 172.8? and 8 8 and Factor x 2 20x + 75 completely. ( x 5) ( x + 15) ( x + 5) ( x 15) ( x + 5) ( x + 15) ( x 5) ( x 15) 43. Factor 4x x 120 completely. 4( x 2) ( x 15) 4( x + 2) ( x 15) 4( x + 2) ( x + 15) 4( x 2) ( x + 15) 44. etermine the roots of the quadratic equation 5x x = 50. x = 10 and x = 1 x = 50 and x = 5 x = 10 and x = 1 x = 2 and x = etermine the roots of the quadratic equation 144x = 0. x = 4 9 and x = 4 9 x = 3 2 and x = 3 2 x = 9 4 and x = 9 4 x = 2 3 and x = 2 3 9

10 I: 46. Solve ( x + 4) ( x 9) = 0. x = 4 and x = 9 x = 4 and x = 9 x = 4 and x = 9 x = 4 and x = The value of k that makes the expression x x + k a perfect square trinomial is Solve ( x + 1) 2 = and and The roots, to the nearest hundredth, of y = 7.2x x are 7.91 and and and and When lex rides his dirt bike off a ramp, his path can be modelled by h(d) = 3.9d d + 8.7, where d is the horizontal distance from the ramp and h is the height, both in metres. How far away from the ramp does he land, to the nearest tenth of a metre? 51. The x-intercepts, to the nearest hundredth, of y = 33.8x x are 0.27 and and and and For a science experiment, a projectile is launched. Its path is given by h(d) = 4.0d d , where h is the height of the projectile above the ground and d is the horizontal distance of the projectile from the launch pad, both in metres. How far away from the launch pad is the projectile when it begins to fall, to the nearest tenth of a metre? m 7.7 m 0.3 m 15.7 m 53. What does the expression ( ) simplify to? State the side length of a square with an area of 1573 cm 2 in simplified radical form cm cm cm 1573 cm m 0.6 m 7.9 m 3.9 m 55. Express 5 160u 10 t 15 in simplified form. 2u 2 t 3 5 ( 5) 2u 3 t 2 5 ( 5) 4u 2 t 3 5 ( 5) 10u 2 t 3 5 ( 4) 10

11 I: 56. Simplify Simplify Simplify the expression 5 6 ( ) ( 3 5 ) ( 3 6 ) 5 48 ( 3 5 ) Express ( 19 7)( ) in simplest form Express 7 6( ) in simplest form etermine the range of the function y = x 2. {y R} {y R, y 0} {x R} {x R, x 2} 62. Solve 6x + 7 = 7x x = 6 x = 24 x = 6 x = Solve x + 3 = 2x + 8. x = 25 x = 5 x = 1 25 x = The non-permissible value(s) for the rational 12 expressions is (are) x 2 4 x 2, x 2 x 2 3 x 2 x What is the simplified version of the rational 3x + 12 expression 32 8x? 3 8 ( x 4) x When fully simplified, ignoring non-permissible values, 32x 8 x 5 is equal to 4x 2 24x 4 3x x 7 3x x 5 11

12 I: 67. When fully simplified, ignoring non-permissible 10x 10 values, x 5 is equal to 5x 2 30x 4 60x x x 4 60x Simplify the rational expression 6a 4 b 7 ( 3ab) ( a 4 b 7 ) 2 2 ( 3ab 4 ) a 5 b a 7 b a 5 b a 7 b 7 x 69. Express the product 2 + 6x 2x x + 27 x + 3 x 2 36 in simplest form. (x 2 + 6x) ( x + 3) (2x x + 27)(x 2 36) x ( 2x + 9) ( x 6) x ( 2x 36) ( x + 6) 1 2x Express the quotient x 2 5x 24 x 2 11x x 2 + 7x + 3 x 2 + x 12 in simplest form. 2x + 1 x + 4 x + 4 2x + 1 ( x + 3) ( 2x + 1) ( x 3) ( x + 4) ( x 3) ( x + 4) ( x + 3) ( 2x + 1) 71. When fully simplified, 3 5 ( x + 5) ( x + 5) 31 x x x x + 5 is equal to 72. When fully simplified, ignoring restrictions on the variable, 6xy 8 3 7xy + is equal to x 2 y 2 7xy 3xy 15 7x 2 y 2 7x 2 y xy 56 7x 2 y 2 7x 2 y xy 56 7x 3 y 3 xy 11 7x 3 y When fully simplified, ignoring restrictions on the x + 8 variable, x 2 + 9x x + 5 is equal to x 2 + 7x x x x + 32 ( x + 8) ( x + 5) ( x 2 + 9x + 20) ( x 2 + 7x + 12) 2x 2 21x 49 ( x + 5) ( x + 4) ( x + 3) 2x x + 49 ( x + 5) ( x + 4) ( x + 3) 12

13 I: 2 x x Simplify x x State any x 7 non-permissible values. 2 x 7, x ±2 2 x + 2, x ±7 2( x 21) ( 3x + 14), x ±7 2( x + 21) ( 3x + 14), x ±2 75. Solve the rational equation x x + 1 = 4 x x 2 3x x 4. x = 10 x = 4 and 1 x = 10 x = 10 and etermine the value of the absolute value ( 6) expression Evaluate ( 9) The graph of y = 2x + 2 is 76. Solve x x = x 2 2x x x 2 x = 3 and x = 2 and x = 8 x = 4 and x = 8 x = 4 and x = 8 and x = 8 x = etermine the value of the absolute value expression 5 ( 8 ( 9))

14 I: What are the domain and range of y = x 2? omain: x x R Ì Ó Range: y y 0, y R Ì Ó omain: x x R Ì Ó Range: y y R Ì Ó omain: x x 0, x R Ì Ó Range: y y R Ì Ó omain: y y R Ì Ó Range: x x 0, x R Ì Ó 82. What are the domain and range of y = 6x 2 + 3x 3? omain: x x R Ì Ó Range: y y R Ì Ó omain: y y R Ì Ó Range: x x 0, x R Ì Ó omain: x x 0, x R Ì Ó Range: y y R Ì Ó omain: x x R Ì Ó Range: y y 0, y R Ì Ó 83. The graph of y = 3x 2 + 2x + 2 is

15 I: 84. Given the graph of y = f( x), which is the graph of y = f( x)? 15

16 I: 85. etermine the solution to 2x = 3 x = 17 2 or x = 1 2 x = 17 2 or x = 1 2 no solution x = Solve x 2 + 4x + 12 = 2x x = 1 and 7 x = 4 and 1 x = 2 and 1 x = 2 and Which graph represents the reciprocal of the linear function y = 4x 2? 16

17 I: 88. Which graph represents the reciprocal of y = (x + 2) 2 3? 17

18 I: 89. The approximate solutions to the system of equations shown below are 91. How many solutions are there to the system of equations graphed below? ( 0, 3.2) and (2, 0.2) (3.2,0) and (0.2, 2) (0,3.2) and ( 2,0.2) ( 3.2, 0) and ( 0.2,2) 90. The solution to the system of equations shown below is no real solution three solutions one solution two solutions 92. Which graph represents the system of equations shown below? y = 1.5x 2 2x + 5 y = 2.3x (1,4) ( 1, 4) (1, 4) ( 1,4) 18

19 I: 93. The line y = 9x 4 intersects the quadratic function y = x 2 + 7x 3 at one point. What are the coordinates of the point of intersection? (0,0) (1, 5) ( 1,5) (1,5) 94. Find the coordinates of the point(s) of intersection of the line y = 4x + 8 and the quadratic function y = 4x 2 5x + 8. (0, 8) and ( 9 4, 17) (0, 0) (2, 34) ( 9, 1) and (0, 8) 4 19

20 I: 95. The cross-section of a tunnel is in the shape of a parabola. The parabolic shape of the tunnel is given by the function y = 1 7 x2 + 6x. What is the width of the tunnel, to the nearest hundredth of a metre, at a height of m? iagram not to scale m m m m 96. What are the solutions for the following system of equations? y = 2x 2 9x 4 y = 2x 2 5x 4 ( 1,3) and (0, 4) (1, 3) and (0, 4) (1,3) and (0, 4) (1, 3) and (0,4) 97. The graph of 5x 6y 6 is 20

21 I: 98. The graph of 4x + 7y > 1 is sports store makes a profit of $50 on every pair of cross-country skis sold and $125 on every set of snowshoes sold. The manager s goal is to have a profit of at least $700 a day from the sales of these two items. 99. Which graph represents the combinations of ski and snowshoe sales that will meet or exceed this daily sales goal? 21

22 I: 100. If x represents the number of pairs of cross-country skis sold and y represents the number of pairs of snowshoes sold, what inequality models the combinations of ski and snowshoe sales that will meet or exceed the daily profit goal? 50y + 125x y + 125x > x + 125y x 125y < The solution set to the inequality 2x 2 + 8x 6 > 0 is Ìx 1 < x < 3, x R Ó Ìx 3 < x < 1, x R Ó Ìx x < 1, x > 3, x R Ó Ìx x < 3, x > 1, x R Ó 800 people will attend a concert if tickets cost $20 each. ttendance will decrease by 30 people for each $1 increase in the price. The concert promoters need to make a minimum of $ What is the range of ticket prices the concert promoters can charge and still make at least the minimum amount of money desired? $27.52 ticket price $5.81 $12.48 ticket price $34.19 ticket price $12.48 or ticket price $34.19 ticket price $27.52 or ticket price $ What quadratic inequality represents this situation? ( x) ( 20 30x) ( x) ( 20 30x) ( 20 + x) ( x) ( 20 x) ( x)

23 I: 104. Which inequality represents the graph shown below? y > 8 9 x 2 y < 8 9 x 2 y > 9 8 x 1 2 y < 9 8 x 1 2 rock is thrown upward with an initial velocity of 14 m/s. The motion of the rock can be modelled by the equation h t ( ) = 4.9t t To the nearest hundredth of a second, for what period of time is the rock s altitude greater than 6 m? 0 s t 2.86 s t < 0.53 s or t > 2.33 s 0.53 s < t < 2.33 s 0.53 s t 2.33 s 106. For how long is the rock s altitude greater than 6 m? nswer to the nearest hundredth of a second s 1.81 s 2.33 s 0.53 s 107. Which graph represents the solution to the inequality y 5( x + 3) 2 + 4? 23

24 I: 108. Which quadratic inequality is represented by the graph shown below? y > 3( x + 2) 2 7 y > 3( x + 2) 2 7 y > 3( x 7) 2 2 y 3( x 7)

25 I: Multiple Response Identify one or more choices that best complete the statement or answer the question. 1. Which graph represents the solution to x 7 = 6? 2. Which graph represents the solution to the inequality 3x 2 7.2x + 2 < 0? 25

26 I: 3. Which graph represents the solution to the inequality y > 3x x + 2? 26

27 I: Math 2200 Final Review (Multiple hoice) nswer Section MULTIPLE HOIE 1. NS: PTS: 1 IF: Easy OJ: Section 1.1 NT: RF 9 TOP: rithmetic Sequences KEY: nth term 2. NS: PTS: 1 IF: Easy OJ: Section 1.1 NT: RF 9 TOP: rithmetic Sequences KEY: common difference 3. NS: PTS: 1 IF: verage OJ: Section 1.1 NT: RF 9 TOP: rithmetic Sequences KEY: general term arithmetic sequence 4. NS: PTS: 1 IF: verage OJ: Section 1.2 NT: RF 9 TOP: rithmetic Series KEY: sum number of terms arithmetic series 5. NS: PTS: 1 IF: verage OJ: Section 1.2 NT: RF 9 TOP: rithmetic Series KEY: sum arithmetic series 6. NS: PTS: 1 IF: Easy OJ: Section 1.3 NT: RF 10 TOP: Geometric Sequences KEY: common ratio geometric sequence 7. NS: PTS: 1 IF: Easy OJ: Section 1.3 NT: RF 10 TOP: Geometric Sequences KEY: common ratio explicit formula geometric sequence 8. NS: PTS: 1 IF: verage OJ: Section 1.3 NT: RF 10 TOP: Geometric Sequences KEY: terms geometric sequence 9. NS: PTS: 1 IF: verage OJ: Section 1.5 NT: RF 10 TOP: Infinite Geometric Series KEY: sum infinite geometric series 10. NS: PTS: 1 IF: Easy OJ: Section 2.1 NT: T 1 TOP: ngles in Standard Position KEY: reference angle < NS: PTS: 1 IF: verage OJ: Section 2.1 NT: T 1 TOP: ngles in Standard Position KEY: reference angle 12. NS: PTS: 1 IF: verage OJ: Section 2.1 NT: T 1 TOP: ngles in Standard Position KEY: special angles sine 13. NS: PTS: 1 IF: Easy OJ: Section 2.1 NT: T 1 TOP: ngles in Standard Position KEY: special angles cosine 14. NS: PTS: 1 IF: Easy OJ: Section 2.1 NT: T 1 TOP: ngles in Standard Position KEY: co-terminal angles 15. NS: PTS: 1 IF: verage OJ: Section 2.2 NT: T 1 TOP: Trigonometric Ratios of ny ngle KEY: point on terminal arm cosine sine tangent 16. NS: PTS: 1 IF: verage OJ: Section 2.2 NT: T 1 TOP: Trigonometric Ratios of ny ngle KEY: point on terminal arm cosine sine tangent 17. NS: PTS: 1 IF: verage OJ: Section 2.2 NT: T 1 TOP: Trigonometric Ratios of ny ngle KEY: tangent reference angle related angles 18. NS: PTS: 1 IF: Easy OJ: Section 2.3 NT: T 3 TOP: The Sine Law KEY: sine law side length 1

28 I: 19. NS: PTS: 1 IF: ifficult OJ: Section 2.3 NT: T 3 TOP: The Sine Law KEY: sine law side length ambiguous case 20. NS: PTS: 1 IF: verage OJ: Section 2.4 NT: T 3 TOP: The osine Law KEY: cosine law angle measure 21. NS: PTS: 1 IF: verage OJ: Section 2.4 NT: T 3 TOP: The osine Law KEY: cosine law side length 22. NS: PTS: 1 IF: Easy OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: intercept 23. NS: PTS: 1 IF: Easy OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: axis of symmetry 24. NS: PTS: 1 IF: verage OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: vertex form 25. NS: PTS: 1 IF: verage OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: vertex 26. NS: PTS: 1 IF: ifficult OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: vertex form graph 27. NS: PTS: 1 IF: verage OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: domain range 28. NS: PTS: 1 IF: ifficult OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: vertex y-intercept 29. NS: PTS: 1 IF: verage OJ: Section 3.1 NT: RF 3 TOP: Investigating Quadratic Functions in Vertex Form KEY: vertex direction of opening 30. NS: PTS: 1 IF: verage OJ: Section 3.2 NT: RF 4 TOP: Investigating Quadratic Functions in Standard Form KEY: vertex axis of symmetry y-intercept x-intercept direction of opening 31. NS: PTS: 1 IF: Easy OJ: Section 3.2 NT: RF 4 TOP: Investigating Quadratic Functions in Standard Form KEY: standard form 32. NS: PTS: 1 IF: verage OJ: Section 3.2 NT: RF 4 TOP: Investigating Quadratic Functions in Standard Form KEY: vertex 33. NS: PTS: 1 IF: verage OJ: Section 3.2 NT: RF 4 TOP: Investigating Quadratic Functions in Standard Form KEY: standard form 34. NS: PTS: 1 IF: verage OJ: Section 3.3 NT: RF 4 TOP: ompleting the Square KEY: standard to vertex form 35. NS: PTS: 1 IF: ifficult OJ: Section 3.3 NT: RF 4 TOP: ompleting the Square KEY: max/min 2

29 I: 36. NS: PTS: 1 IF: Easy OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: x-intercepts 37. NS: PTS: 1 IF: verage OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: x-intercepts two real roots 38. NS: PTS: 1 IF: verage OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: x-intercepts no real roots 39. NS: PTS: 1 IF: verage OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: x-intercepts one real root 40. NS: PTS: 1 IF: verage OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: two real roots 41. NS: PTS: 1 IF: ifficult OJ: Section 4.1 NT: RF 5 TOP: Graphical Solutions of Quadratic Equations KEY: one real root 42. NS: PTS: 1 IF: Easy OJ: Section 4.2 NT: RF 5 TOP: Factoring Quadratic Equations KEY: factor trinomial 43. NS: PTS: 1 IF: verage OJ: Section 4.2 NT: RF 5 TOP: Factoring Quadratic Equations KEY: factor trinomial 44. NS: PTS: 1 IF: ifficult OJ: Section 4.2 NT: RF 5 TOP: Factoring Quadratic Equations KEY: solve trinomial 45. NS: PTS: 1 IF: verage OJ: Section 4.2 NT: RF 5 TOP: Factoring Quadratic Equations KEY: difference of squares 46. NS: PTS: 1 IF: Easy OJ: Section 4.2 NT: RF 5 TOP: Factoring Quadratic Equations KEY: solve factored trinomial 47. NS: PTS: 1 IF: Easy OJ: Section 4.3 NT: RF 5 TOP: Solving Quadratic Equations by ompleting the Square KEY: perfect square trinomial 48. NS: PTS: 1 IF: Easy OJ: Section 4.3 NT: RF 5 TOP: Solving Quadratic Equations by ompleting the Square KEY: square root 49. NS: PTS: 1 IF: verage OJ: Section 4.2 NT: RF 5 TOP: The Quadratic Formula KEY: quadratic formula 50. NS: PTS: 1 IF: verage OJ: Section 4.4 NT: RF 5 TOP: The Quadratic Formula KEY: quadratic formula parabolic motion 51. NS: PTS: 1 IF: ifficult OJ: Section 4.4 NT: RF 5 TOP: The Quadratic Formula KEY: x-intercepts 52. NS: PTS: 1 IF: ifficult + OJ: Section 4.4 NT: RF 5 TOP: The Quadratic Formula KEY: vertex coordinates 53. NS: PTS: 1 IF: verage OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: simplify radicals 54. NS: PTS: 1 IF: Easy OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: area simplify radicals 3

30 I: 55. NS: PTS: 1 IF: verage OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: simplify radicals 56. NS: PTS: 1 IF: verage OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: simplify radicals 57. NS: PTS: 1 IF: verage OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: simplify radicals 58. NS: PTS: 1 IF: ifficult OJ: Section 5.1 NT: N 2 TOP: Working With Radicals KEY: simplify radicals 59. NS: PTS: 1 IF: Easy OJ: Section 5.2 NT: N 2 TOP: Multiplying and ividing Radical Expressions KEY: simplify radicals conjugates 60. NS: PTS: 1 IF: verage OJ: Section 5.2 NT: N 2 TOP: Multiplying and ividing Radical Expressions KEY: simplify radicals 61. NS: PTS: 1 IF: Easy OJ: Section 5.3 NT: N 3 TOP: Radical Equations KEY: range function 62. NS: PTS: 1 IF: ifficult OJ: Section 5.3 NT: N 3 TOP: Radical Equations KEY: two radicals 63. NS: PTS: 1 IF: verage OJ: Section 5.3 NT: N 3 TOP: Radical Equations KEY: two radicals 64. NS: PTS: 1 IF: Easy OJ: Section 6.1 NT: N 4 TOP: Rational Expressions KEY: non-permissible values 65. NS: PTS: 1 IF: verage OJ: Section 6.1 NT: N 4 TOP: Rational Expressions KEY: simplifying rational expressions 66. NS: PTS: 1 IF: Easy OJ: Section 6.2 NT: N 5 TOP: Multiplying and ividing Rational Expressions KEY: multiplying rational expressions 67. NS: PTS: 1 IF: Easy OJ: Section 6.2 NT: N 5 TOP: Multiplying and ividing Rational Expressions KEY: dividing rational expressions 68. NS: PTS: 1 IF: verage OJ: Section 6.2 NT: N 5 TOP: Multiplying and ividing Rational Expressions KEY: multiplying rational expressions 69. NS: PTS: 1 IF: verage OJ: Section 6.2 NT: N 5 TOP: Multiplying and ividing Rational Expressions KEY: multiplying rational expressions 70. NS: PTS: 1 IF: verage OJ: Section 6.2 NT: N 5 TOP: Multiplying and ividing Rational Expressions KEY: dividing rational expressions 71. NS: PTS: 1 IF: Easy OJ: Section 6.3 NT: N 5 TOP: dding and Subtracting Rational Expressions KEY: subtracting rational expressions 72. NS: PTS: 1 IF: verage OJ: Section 6.3 NT: N 5 TOP: dding and Subtracting Rational Expressions KEY: adding rational expressions 4

31 I: 73. NS: PTS: 1 IF: verage OJ: Section 6.3 NT: N 5 TOP: dding and Subtracting Rational Expressions KEY: adding rational expressions simplifying rational expressions 74. NS: PTS: 1 IF: ifficult OJ: Section 6.2 Section 6.3 NT: N 5 TOP: Multiplying and ividing Rational Expressions dding and Subtracting Rational Expressions KEY: adding rational expressions dividing rational expressions simplifying rational expressions non-permissible values 75. NS: PTS: 1 IF: ifficult OJ: Section 6.4 NT: N 6 TOP: Rational Equations KEY: solving an equation 76. NS: PTS: 1 IF: ifficult + OJ: Section 6.4 NT: N 6 TOP: Rational Equations KEY: solving an equation 77. NS: PTS: 1 IF: verage OJ: Section 7.1 NT: RF 2 TOP: bsolute Value KEY: evaluating expressions 78. NS: PTS: 1 IF: ifficult OJ: Section 7.1 NT: RF 2 TOP: bsolute Value KEY: evaluating expressions 79. NS: PTS: 1 IF: ifficult OJ: Section 7.1 NT: RF 2 TOP: bsolute Value KEY: evaluating expressions 80. NS: PTS: 1 IF: verage OJ: Section 7.2 NT: RF 2 TOP: bsolute Value Functions KEY: graphing linear 81. NS: PTS: 1 IF: Easy OJ: Section 7.2 NT: RF 2 TOP: bsolute Value Functions KEY: domain range linear 82. NS: PTS: 1 IF: verage OJ: Section 7.2 NT: RF 2 TOP: bsolute Value Functions KEY: domain range quadratic 83. NS: PTS: 1 IF: verage OJ: Section 7.2 NT: RF 2 TOP: bsolute Value Functions KEY: graphing quadratic 84. NS: PTS: 1 IF: Easy OJ: Section 7.2 NT: RF 2 TOP: bsolute Value Functions KEY: graphing quadratic 85. NS: PTS: 1 IF: verage OJ: Section 7.3 NT: RF 2 TOP: bsolute Value Equations KEY: linear no solution 86. NS: PTS: 1 IF: ifficult OJ: Section 7.3 NT: RF 2 TOP: bsolute Value Equations KEY: algebraic solution quadratic linear 87. NS: PTS: 1 IF: Easy OJ: Section 7.4 NT: RF 11 TOP: Reciprocal Functions KEY: linear graphing 88. NS: PTS: 1 IF: verage OJ: Section 7.4 NT: RF 11 TOP: Reciprocal Functions KEY: quadratic graphing 89. NS: PTS: 1 IF: Easy OJ: Section 8.1 NT: RF 6 TOP: Solving Systems of Equations Graphically KEY: linear-quadratic systems interpreting graphs 90. NS: PTS: 1 IF: Easy OJ: Section 8.1 NT: RF 6 TOP: Solving Systems of Equations Graphically KEY: linear-quadratic systems interpreting graphs tangent line 91. NS: PTS: 1 IF: Easy OJ: Section 8.1 NT: RF 6 TOP: Solving Systems of Equations Graphically KEY: linear-quadratic systems interpreting graphs number of solutions 5

32 I: 92. NS: PTS: 1 IF: verage OJ: Section 8.1 NT: RF 6 TOP: Solving Systems of Equations Graphically KEY: linear-quadratic systems interpreting graphs 93. NS: PTS: 1 IF: Easy OJ: Section 8.2 NT: RF 6 TOP: Solving Systems of Equations lgebraically KEY: linear-quadratic systems algebraic solution 94. NS: PTS: 1 IF: ifficult OJ: Section 8.2 NT: RF 6 TOP: Solving Systems of Equations lgebraically KEY: linear-quadratic systems points of intersection algebraic solution 95. NS: PTS: 1 IF: verage OJ: Section 8.2 NT: RF 6 TOP: Solving Systems of Equations lgebraically KEY: linear-quadratic systems algebraic solution 96. NS: PTS: 1 IF: verage OJ: Section 8.2 NT: RF 6 TOP: Solving Systems of Equations lgebraically KEY: linear-quadratic systems algebraic solution 97. NS: PTS: 1 IF: Easy OJ: Section 9.1 NT: RF 7 TOP: Linear Inequalities in Two Variables KEY: linear inequality graphing 98. NS: PTS: 1 IF: verage OJ: Section 9.1 NT: RF 7 TOP: Linear Inequalities in Two Variables KEY: linear inequality graphing 99. NS: PTS: 1 IF: verage OJ: Section 9.1 NT: RF 7 TOP: Linear Inequalities in Two Variables KEY: linear inequality graphing 100. NS: PTS: 1 IF: verage OJ: Section 9.1 NT: RF 7 TOP: Linear Inequalities in Two Variables KEY: linear inequality determine equation 101. NS: PTS: 1 IF: verage OJ: Section 9.2 NT: RF 7 TOP: Quadratic Inequalities in One Variable KEY: quadratic inequality one variable solution set 102. NS: PTS: 1 IF: ifficult OJ: Section 9.2 NT: RF 7 TOP: Quadratic Inequalities in One Variable KEY: quadratic inequality one variable 103. NS: PTS: 1 IF: verage OJ: Section 9.2 NT: RF 7 TOP: Quadratic Inequalities in One Variable KEY: quadratic inequality one variable 104. NS: PTS: 1 IF: verage OJ: Section 9.1 NT: RF 7 TOP: Linear Inequalities in Two Variables KEY: linear inequality determine equation 105. NS: PTS: 1 IF: ifficult OJ: Section 9.3 NT: RF 7 TOP: Quadratic Inequalities in Two Variables KEY: quadratic inequality two variables algebraic 106. NS: PTS: 1 IF: ifficult OJ: Section 9.3 NT: RF 7 TOP: Quadratic Inequalities in Two Variables KEY: quadratic inequality two variables algebraic 6

33 I: 107. NS: PTS: 1 IF: Easy OJ: Section 9.3 NT: RF 7 TOP: Quadratic Inequalities in Two Variables KEY: quadratic inequality two variables graphing a < NS: PTS: 1 IF: verage OJ: Section 9.3 NT: RF 7 TOP: Quadratic Inequalities in Two Variables KEY: quadratic inequality two variables determine equation MULTIPLE RESPONSE 1. NS: PTS: 1 IF: verage OJ: Section 7.3 NT: RF 2 TOP: bsolute Value Equations KEY: linear graphical solution 2. NS: PTS: 1 IF: Easy OJ: Section 9.2 NT: RF 7 TOP: Quadratic Inequalities in One Variable KEY: quadratic inequality one variable 3. NS: PTS: 1 IF: verage OJ: Section 9.3 NT: RF 7 TOP: Quadratic Inequalities in Two Variables KEY: quadratic inequality two variables graphing a > 0 7