Can you please solve this this is a practise midterm and I need help if you can answer all the question that be great.
MYP 10th Math Extended - Midterm Summative Assessment 10th Math Standard Midterm 12/2020 This section of the assessment will be graded against Criteria A & Criteria C Criterion A: Knowledge and Understanding Criterion C: Communication Level 1-2 0 The student does not reach a standard described by any of the The student does not reach a standard identified by any of the 1. True or False? descriptions below. descriptions below. a) -7 EZ b) -1EN 1-2 The student is able to: The student is able to: C) - E Q d) 15 EQ select appropriate mathematics when solving simple Use limited forms of mathematical representation to problems in familiar situations present information apply the selected mathematics successfully when Communicate through lines of reasoning that are e) TER f) V-3 ER_ g)0EZ+ h) All rational numbers are integers_ solving these problems difficult to interpret generally solve these problems correctly in a variety of contexts. 2. Place a check mark in the appropriate box to show members of the set. 3-4 The student is able to: The student is able to select appropriate mathematics when solving more Use appropriate forms of mathematical representation to complex problems in familiar situations present information adequately 2V3 -2. 54 apply the selected mathematics successfully when Communicate through lines of reasoning that are N= natural solving these problems. complete Z= integer generally solve these problems correctly in a variety of Adequately organize information using a logical contexts. structure Q = rational 5-6 The student is able to The student is able to R = real select appropriate mathematics when solving Usually move between different forms of mathematical challenging problems in familiar situations representation apply the selected mathematics successfully when Communicate through lines of reasoning that are solving these problems. coherent and complete generally solve these problems correctly in a variety of Present work that is usually organized using a logical 3. Consider the universe, U = {x | x S 10, x E Z+}, A = {2,3,5,6,9} B = {1,3,5,7,9,10} contexts. structure 7-8 The student is able to: The student is able to a) Show these sets on a Venn Diagram select appropriate mathematics when solving Move effectively between different forms of challenging problems in both familiar and mathematical representation unfamiliar situations Communicate through lines of reasoning that are apply the selected mathematics successfully when complete, coherent, and concise solving these problems. Present work that is consistently organized using a generally solve these problems correctly in a variety of logical structure contexts b) List the elements of A U B FORMULAS/EQUATIONS c) List the elements of An B d) List the elements of B' d = (x2 - x,) + (x2 - >,) ( x, V ) = + 2 Vit y2 2 f ( x ) = ax +bx+ c 4. A bag contains 4 green and 3 red marbles. Two marbles are randomly selected from the bag without replacement. Determine the probability that m = 2 1; x zx2 f ( x) = a(x - h) +k; h=_b *2 - X 1 2 a -btvb2-4ac y = mx + b X = - a) both are green 2a b) they are different colors5. Find the equation of the line that passes through (1, 7) and (-5, -3). Level 3-4 11. Simplify so there are no radicals or i's in the denominator. 3V2 3i . 2V5 b. 7+5i Simplify #6-10. 6. (5r3t) 2(3rot4) 2a+bc5 12. a. Find the equation of the tangent to the circle with center (0, 2) at the point (-1, 5). * 18a2b7cl 8. (402 -12c+ 7) - (c2 +2c -5) b. Find the equation of the perpendicular bisector of AB for A (3, 1) and B(-3, 6) 9. (12k2 + 4k)(2k2 + 3k - 2). 13. Pierre conducted a survey to determine the ages of people Age Frequency walking through a shopping mall. The results are shown 10. a. 2 98 + 72 in the table alongside. Estimate, to 3 decimal places, 0 - 19 b. 516 (2V/8) 22 the probability that the next person Pierre meets in the 20 - 39 43 shopping mall is: 40 - 59 39 60+ 14 a between 20 and 39 years of age b less than 40 years of age c at least 20 years of age. Page 4 of 1414. Find the area of a triangle with sides 10, 10, and 16 cm. 18. Given f(x) = 2x2 -3 and g(x ) = 4x +1, find a. f(-2) b. f(g(x)) 15. Are the triangles similar? (yes or no) If they are similar then state the reason. C. 9 6 8 19. Given the equation y = -2.5x +5 a. find the x- intercept and y - intercept X X 15 b. find f 1(x) [inverse of f(x) ] 16. Are the triangles congruent? (yes or no) If they are congruent then state the reason. U 20. A coin and a pentagonal spinner with sectors 1, 2, 3, 4 and 5 are tossed and spun respectively. a) Draw a grid to illustrate the sample space of the combined outcomes. b. d 17. Solve for x using similar triangles. b) How many combined outcomes are possible? C 12 70 Use your grid to determine the chance of getting... c) a tail and a 3 70 d) a head and an even number 8 Page 6 of 1425. Solve by completing the square: x2 + 6x + 1 = 0 21. Solve the equation using any method. a. (x - 5)(2x + 5) = 0 b. (x + 1)2 =-6 level 5/6 26. 22. Solve by factoring x2 + 5x + 6 =0 For each pair of similar figures, find the unknown area. 5.1 m2 41.8 m2 3 m 5 m 6 m 7 m 23. Solve by factoring 4x2 + 2x + 1 = 13 27. For what values of n does {n, n+1, n+2} form a Pythagorean triple? 24. Solve using the quadratic formula 2x2 - 6x + 23 = 3. Leave your answer exact! 28.a. Describe the end behavior. b. Determine whether the graph represents an odd-degree or an even-degree polynomial function. c. State the number of real zeros. Page 8 of 1429. Use long division to find (10y3- 9y2 + 6y - 10) + (2y + 3). Criterion D: Applying mathematics This section of the assessment will be graded against Criteria D: Applying Mathematics in Real-Life Contexts Achievement Descriptor Level The student does not reach a standard described by any of the descriptors below. The student is able to: identify some of the elements of the authentic real-life situation; apply mathematical strategies to 1-2 find a solution to the authentic real-life situation, with limited success. The student is able to: identify the relevant elements of the authentic real-life situation; select, with some success, 3-4 adequate mathematical strategies to model the authentic real-life situation; apply mathematical strategies to reach a solution to the authentic real-life situation and describe whether the solution makes sense. The student is able to: identify the relevant elements of the authentic real-life situation; select adequate mathematical 5-6 strategies to model the authentic real-life situation; apply the selected mathematical strategies to reach a valid solution to 30. Is x-2 a factor of 5x3 - 12x - 10? the authentic real-life situation and explain whether the solution makes sense. The student is able to: identify the relevant elem authentic real-life situation; select appropriate mathematical 7-8 strategies to model the authentic real-life situation; apply the selected mathematical strategies to reach a correct solution to the authentic real-life situation and justify whether the solution makes sense Remember to leave at least 3 significant digits when rounding using your graphing calculator. Level 1-2 33. The length of a rectangle is 7 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions? Level 7/8 31. There are 2 bags of peaches and a coin is tossed to determine which bag one peach is selected. Bag A has 5 ripe and 3 unripe peaches, and bag B has 6 ripe and 1 unripe peach. a) Determine the probability that the peach is ripe. b) Given that the peach is ripe, what is the probability it came from bag A. 34. In an AC circuit, the voltage E (in volts), current / (in amps), and impedance Z (in ohms) are related by the formula E = 1 . Z. Find the current in a circuit with voltage 10 - 3j volts and impedance 4 + j ohms. (You may leave your answer in terms of j.) 32. Write a quadratic equation with -6 and - as its roots and has a y-intercept of 9. Page 10 of 14Level 3/4 35. Two vehicles tmvel start at the same point. If the red sports car travels south at 80 mph and the gray minivan travels east at 45 mph, then how far are apan are the vehicles in 5 hours? Level 5-6 37. What is largest straw that can t in a rectangular solid with dimensions 10 inches by 8 inches by 3 inches? [mill 36- 38. The height h (in feet) ofa certain rocket I seconds aer it leaves the ground is modeled by A marketing company surveys 80 randomly selected people Frequency h(r) = 716:2 +481 + 15. Find the maximum height reached by the rocket. to discover what brand of shoe cleaner they use, The results are shown in the table alongside: a Based on these results, what is the experimental probability of a community member using: i Brite ii Cleano? It Would you classify the estimate of i to be very good. good. or poor? Why
