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Algebra I C.I.S.R. (Continuous Improvement standards review)

Algebra I C.I.S.R. (Continuous Improvement standards review). Quarter 3. Week Starting . Week 1. MA.912.A.2.3.

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Algebra I C.I.S.R. (Continuous Improvement standards review)

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  1. Algebra I C.I.S.R.(Continuous Improvement standards review) Quarter 3

  2. Week Starting

  3. Week 1 MA.912.A.2.3 An ice cream shop charges $5 for an ice cream cone with one scoop of ice cream and an additional $0.75 for each extra scoop of ice cream. Which function represents the total cost of an ice cream cone with x extra scoops of ice cream? f(x) = $5x + $0.75 f(x) = $5x − $0.75 f(x) = $0.75x + $5 f(x) = $0.75x − $5 3

  4. Week 1 MA.912.A.2.3 Given the function f(x) = 5 − 2x, what is the value of x if f(x) = 3? x = 3 x = 1 x = −1 x = 11 4

  5. Week 1 MA.912.A.2.3 Alejandro drove to his grandmother's house. He used the cruise control in his car to keep his speed constant. Which graph shows his speed as he drove to his grandmother's house? A. C. B. D. 5

  6. Week 1 MA.912.A.2.3 At a local grocery store, watermelons are sold for $4 each plus an additional $0.25 per pound. Write a function that describes the relationship between x, the number of pounds of a watermelon, and f(x), the total cost of the watermelon. f(x) = $4.25x f(x) = $4 + $0.25x f(x) = $4 ($0.25x + 1) f(x) = $4x ($0.25x + 4 6

  7. Week 1 MA.912.A.2.3 The cost of a New York City taxi fare can be described by the function f(x) = $3 + $0.50x, where x represents the number of miles the taxi drives. What is the value of f(x) for a 12-mile taxi ride? $ 3. 50 $ 9. 00 $15. 50 $38. 40 7

  8. Week 2 MA.912.A.3.9 Carla is one year older than James. The relationship between their ages can be represented by the equationC = J + 1 If Carla's age is graphed as a function of James's age, what will be the coordinates of the x- and y-intercepts for the graph of this function? x-intercept: (0, 1)y-intercept: (-1, 0) x-intercept: (James)y-intercept: (Carla) x-intercept: (1, 0)y-intercept: (1, 0) x-intercept: (-1, 0)y-intercept: (0, 1) 8

  9. Week 2 MA.912.A.3.9 On a coordinate graph, Celeste places a red marble at the point (2, 2) and a green marble at the point (4, 1). If she draws a line that passes through both of these points, which set of coordinates represents the x- and y-intercepts of the line? x-intercept: (0, 6)y-intercept: (3, 0) x-intercept: (6, 0y-intercept: (0, 3) x-intercept: (0, 3)y-intercept: (6, 0) x-intercept: (3, 0)y-intercept: (0, 6) 9

  10. Week 2 MA.912.A.3.9 The graph below shows the rate at which a cross-country runner burns calories. What is the slope of the line? 2/30 15 7/14 1 10

  11. Week 2 MA.912.A.3.9 The diagram below shows the dimensions of Lopez family's house. What is the slope of the portion of the roof that is represented by the solid red line? 11

  12. Week 2 MA.912.A.3.9 The equation 3x − 2y = −16 can be used to determine the size of a recommended refrigerator, where y represents the volume of the refrigerator in cubic feet, and x represents the number of people (greater than 2) living in the residence. When this equation is graphed on a coordinate plane, where does the line intercept the y-axis? 12

  13. Week 3 MA.912.A.3.10 The line shown in the graph below can be represented by the equation Which of the following is the equation for a line that is perpendicular to this line, passing through the point (6, 4)? 13

  14. Week 3 MA.912.A.3.10 Rod is a professional archer who always hits the bull's eye or the ring next to the bull's eye. The chart below shows the number of points, p, he will score when shooting 20 arrows, based on the number of bull's eyes, b, that he hits. Which equation represents the information shown on the graph? p = 160 + 5b p = 160 − 5b p = 160 + 2b p = 160 − 2b 14

  15. Week 3 MA.912.A.3.10 Robert sharpened pencils for the school math contest. He sharpened 8 pencils in 2 minutes and 32 pencils in 8 minutes.If he continues at the same rate, which equation can be used to predict the number of pencils he can sharpen in 30 minutes? Let p represent the number of pencils and t represent the number of minutes. p + t = 30 4t = p 8p = 3t t/p= 4 15

  16. Week 3 MA.912.A.3.10 In an isometric drawing, parallel edges of a three-dimensional object are represented as parallel lines when the object is drawn in two dimensions. In the isometric drawing of the cube below, line is drawn to form one edge of the cube. The equation y = x + 3 can be used to represent line . Line k is then drawn to form a parallel edge of the cube, passing through (5, 4).Which of the following shows the equation for line k? y = x − 1 y = −x + 1 y = x + 5 y = −x − 5 16

  17. Week 3 MA.912.A.3.10 Line s passes through the points (2, 7) and (6, 1). Line t passes through the point (5, 2) and is perpendicular to line s. What is the equation for line t? 17

  18. Week 4 MA.912.A.3.14 John is training for a competition in which athletes will run and bike several miles. If John can run a mile in 7 minutes and bike a mile in 4 minutes, he will be able to finish the race in 90 minutes. If he can run a mile in 8 minutes and bike a mile in 3 minutes, he will be able to cover the same distance in just 84 minutes. In the equations below, r represents the number of miles run, and b represents the number of miles biked . 7r + 4b = 908r + 3b = 84 How many miles will John run during the race? 6  miles 7  miles 8  miles 12  miles 18

  19. Week 4 MA.912.A.3.14 In the 1600s, a blacksmith could make a living by hand-forging horseshoes and nails. A diligent blacksmith could make one horseshoe in 12 minutes and a nail in 1 minute. In the 1600s, it would take the blacksmith 210 minutes to complete a particular job. With advances in technology, the blacksmith was able to make a horseshoe in 9 minutes and a nail in 40 seconds, and could complete the same job in 155 minutes. In the equations below, h represents the number of horseshoes in the job, and n represents the number of nails in the job. 12h + n = 2109h + 2n/3 = 155 How many nails were in the job the blacksmith completed? 10 15 20 30 19

  20. Week 4 MA.912.A.3.14 According to government standards, a 100-gram piece of ''extra lean'' meat must contain 425 or fewer calories. A piece of extra lean meat contains 190 grams of protein and 10 grams of fat, for a total of 850 calories. A second piece of meat is the same weight, but it is not extra lean. This piece of meat contains 180 grams of protein and 20 grams of fat, but it has a total of 900 calories. In the equations below, f represents the number of calories in a gram of fat, and p represents the number of calories in a gram of protein. 190p + 10f = 850180p + 20f = 900 How many calories are in a gram of protein? 4 5 8 9 20

  21. Week 4 MA.912.A.3.14 A chemist prepares a solution by mixing 30 mL of liquid c with 50 mL of liquid d, and the resulting solution has a mass of 290 grams. She then combined 50 mL of liquid c with 40 mL of liquid d, and gets a solution that has a mass of 310 grams. In the equations below, c represents the concentration of liquid c, and d represents the concentration of liquid d.30c + 50d = 29050c + 40d = 310 What is the concentration of liquid c, in grams/mL? 3 4 5 6 21

  22. Week 4 MA.912.A.3.14 During a recent campaign, a candidate purchased two television commercials and one radio commercial for $29,250 in September. In October, she spent $62,250 on four television ads and three radio ads. In the equations below, r represents the cost of one radio commercial and t represents the cost of one television commercial. 2t + r = 29,2504t + 3r = 62,250 What is the cost, in dollars, of one television commercial? $ 3,750 $ 12,750 $ 16,500 $ 22,550 22

  23. Week 5 Online Practice EOC This is a week student can work on the practice Algebra EOC Practice Exam. You can get step by step directions to assign the online practice test at the link below. http://connect.manatee.k12.fl.us/p78704027/ 23

  24. Week 6 MA.912.A.4.1 Which answer choice is equivalent to the expression below? 24

  25. Week 6 MA.912.A.4.1 Which answer choice is equivalent to the expression below? 25

  26. Week 6 MA.912.A.4.1 Which answer choice is equivalent to the expression below?(2a3b)3 6a6b3 16a9b3 8a6b4 8a9b3 26

  27. Week 6 MA.912.A.4.1 What is the value of the following expression when x = 2? 27

  28. Week 6 MA.912.A.4.1 What is the value of the following expression when x = 3?(2x)3(3x)−2 28

  29. Week 7 MA.912.A.4.2 Which answer choice is equivalent to the product of the polynomials shown below?(3x + 2)(4x − 4) 4(3x2 − 2) 4(3x2 − x − 2) 7x − 2 4(3x − 2) 29

  30. Week 7 MA.912.A.4.2 Which of the following expressions is equivalent to (5x − 3)2? 25x2 − 30x + 9 25x2 − 15x + 9 25x2 − 15x − 9 55x2 − 9 30

  31. Week 7 MA.912.A.4.2 Which answer choice is equivalent to the sum of the polynomials shown below?(10x2 + 3x − 6) + (2x2 − 9x − 12) 3(4x2 − 2x + 6) 6(2x2 − x − 3) 6(x − 3) 18(x3 − 1) 31

  32. Week 7 MA.912.A.4.2 Which answer choice is equivalent to the product of the polynomials shown below?(8x + 3)(2x + 1) 16x + 3 16x(14x + 4) 16x2 + 14x + 3 16x2(14x + 4) 32

  33. Week 7 MA.912.A.4.2 Which answer choice is equivalent to the sum of the polynomials shown below?−(5x2 + x) + (7x + 3) 5x2 − 10x −5x2 + 8x + 3 −5x2 + 6x + 3 5x2 − 6x − 3 33

  34. Week 8 MA.912.A.4.3 Which answer choice shows the expression below, factored completely?18x2y2 + 36x3y3 − 27x3y 3x2y(6y + 12xy − 9x) 3(6x2y2 + 12x3y3 − 9x3y) 9x2y(2y + 4xy2 − 3x) 9(2x2y2 + 4x3y3 − 3x3y) 34

  35. Week 8 MA.912.A.4.3 Which answer choice shows the expression below, factored completely?x2 − 2x − 120 (x − 12)(x + 10) (x + 12)(x − 10) (x − 60)(x + 2) (x + 60)(x − 2) 35

  36. Week 8 MA.912.A.4.3 Which answer choice shows the expression below, factored completely?36x − 100y2x x(6 + 10y)(6 − 10y) 4x(3 + 5y)(3 − 5y) x(36 − 100y2) 4x(9 − 25y2) 36

  37. Week 8 MA.912.A.4.3 Which answer choice shows the expression below, factored completely?2x2 + x − 28 (x − 7)(2x + 4) (x + 7)(2x − 4) (2x − 7)(x + 4) (2x + 7)(x − 4) 37

  38. Week 8 MA.912.A.4.3 Which answer choice shows the expression below, factored completely?4a2b − 12ab + 5a − 15 (4a2b − 12ab)(5a − 15) a(4ab − 12b + 5) − 15 4ab(a − 3) + 5(a − 3) (4ab + 5)(a − 3) 38

  39. Week 9 MA.912.A.4.4 Royce wants to divide 2x3 − 10x − 6x2 by 2x.If x ≠ 0, which of the following is the correct result? x4 − 5x2 − 3x3 4x3 − 12x − 8x2 x2 − 5 − 3x 8 − 4x 39

  40. Week 9 MA.912.A.4.4 Roland divides a trinomial by a monomial, as shown below. If x ≠ 0, which of the following is the correct result? 4x4 + 12x2 + 4 x4 + 3x2 + 4x x3 + 12x2 + 16x x3 + 3x + 4 40

  41. Week 9 MA.912.A.4.4 Yolanda tries to divide -20x5y20 − 120x10y30 + 95x20y10 by the monomial -5x5y10.If x ≠ 0 and y ≠ 0, which of the following is the correct result? -25xy2 − 125x2y3 + 90x4y 4x10y30 + 24x15y40 − 19x25y20 -15xy10 − 115x5y20 + 90x15y 4y10 + 24x5y20 − 19x15 41

  42. Week 9 MA.912.A.4.4 Rick wants to divide 3x5y2z + 27x6y4z2 by 3(xy)2z. If x ≠ 0, y ≠ 0, and z ≠ 0, which of the following is the correct result? 3x3 + 9x4y2z x4y + 27x5y3z x3 + 9x4y2z 3x3yz + 9x4y2z3 42

  43. Week 9 MA.912.A.4.4 Kanesha tries to divide a binomial by a monomial.If x ≠ 0, which of the following is the correct result? 4x + 1 20x2 + 1 20x2 4x 43

  44. Week 10 MA.912.A.7.1 Which of the following is the graph of the function y = x2 − 4x − 12? 44

  45. Week 10 MA.912.A.7.1 Which of the following equations represents the graph shown to the right? y = −x2 − 6x + 55 y = x2 − 6x + 55 y = −x2 − 6x − 55 y = x2 − 6x − 55 45

  46. Week 10 MA.912.A.7.1 Which of the following equations represents the graph shown to the right? y = 3x2 + 12x − 36 y = 2x2 + 8x − 24 y = x2 + 4x − 12 y = −2x2 − 8x + 24 46

  47. Week 10 MA.912.A.7.1 Which of the following equations represents the graph shown below? y = −x2 y = x2 y = −3x2 y = 3x2 47

  48. Week 10 MA.912.A.7.1 Which of the following is the graph of the function y = 3x2 − 6x − 9? 48

  49. Week 11 MA.912.A.7.2 The function below can be used to describe the motion of a ball thrown through the air.f(x) = −x2 + 10x − 21 Which of the following shows the correct factorization of this function for f(x) = 0? (x + 3)(x + 7) = 0 (x + 3)(x − 7) = 0 (−x + 3)(x − 7) = 0 (x − 3)(x + 7) = 0 49

  50. Week 11 MA.912.A.7.2 Marna wants to find the values of x for which the function below will have a value of 10.f(x) = x2 + x − 20 Which of the following shows the correct factorization of this function for f(x) = 10? (x + 5)(x + 4) = 10 (x − 5)(x − 4) = 10 (x + 6)(x − 5) = 0 (x + 5)(x − 6) = 0 50

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