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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 2. Week Starting . Week 1. MA.912.A.3.1. What is the value of x in the equation below? 7 x + 2 = 9 x − 3 + 4 x. 1/2 5/6 5 15. 3. Week 1. MA.912.A.3.1.

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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 2

  2. Week Starting

  3. Week 1 • MA.912.A.3.1 What is the value of x in the equation below?7x + 2 = 9x − 3 + 4x 1/2 5/6 5 15 3

  4. Week 1 • MA.912.A.3.1 What is the value of x in the equation below?6x(3 + 2) = 12 − 6x 2 3 1/3 1/2 4

  5. Week 1 • MA.912.A.3.1 An airline company charges $200 per flight, regardless of the destination. The company also charges $25 dollars for every piece of luggage. In addition, they charge $0.02 for every mile of the flight. With only one piece of luggage, the total cost of the trip can be calculated using the equation below, where x represents the number of miles in the flight.If a trip costs $325, how many miles long is the flight?Trip Cost = 200 + 25 + .02x 5

  6. Week 1 • MA.912.A.3.1 What is the value of x in the equation below?2 + 3(5 − 4x) = 17 + 4(4x − 1) 6

  7. Week 2 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for x?6xy = 7x + 3y + z x = (7y+z)/(6y-3) x = (7y+z)/(6y+3) x = (3y+z)/(6y-7) x = (3y+z)/(6y+7) 7

  8. Week 2 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for g?f = (1/2)g − 7h g = ½f − 7h g = ½f + 7h g = 2f + 7h g = 2(f + 7h) 8

  9. Week 2 • MA.912.A.3.3 Which of the following shows the equation below correctly solved for x?xy = −3x + 5 x =(-3x + 5)/y x =(xy - 5)/(-3) x =(5)/(y + 3) x =(y + 3)/5 9

  10. Week 2 • MA.912.A.3.3 The formula below shows how much interest (I) is earned when $8,500 is deposited into a savings account with an interest rate of r, for t years. I = (8500)rt Which of the following shows this equation correctly solved for t? t = 8500Ir t = I/8500r t = 8500r/I t = I - 8500r 10

  11. Week 2 • MA.912.A.3.3 The formula for the volume of a cylinder that is 6 inches tall is shown below.V = 6pr2 Which of the following shows this equation correctly solved for p? p = V/6r2 p = 6r2/V p = Vr2/6 p = 6V/r2 11

  12. Week 3 • MA.912.A.3.4 What is the solution for the inequality shown below?2(1 − 7/2x) < 23 x < − 3 x > − 3 x > 3 x < 3 12

  13. Week 3 • MA.912.A.3.4 Which graph represents the solution set for the inequality shown below?5x + 7 ≤ 23x − 2 A. B. C. 13 D.

  14. Week 3 • MA.912.A.3.4 What is the solution for the inequality shown below?−3 < 2x + 11 < 7 −7 < x < −2 −2 < x < −7 4 < x < 9 7 > x > 2 14

  15. Week 3 • MA.912.A.3.4 Which graph represents the solution set for the compound inequality shown below?6x + 4 ≥ 34    or    −(3/5)x −1 > 5 A. B. C. 15 D.

  16. Week 3 • MA.912.A.3.4 What is the solution for the inequality shown below?6(1 − (2/3)x) > 42 x < −9 x > −9 x < −3 x > −3 16

  17. Week 3 • MA.912.A.3.4 Which graph represents the solution set for the inequality shown below?−3x + 11 > 7x − 19 A. B. C. 17 D.

  18. Week 3 • MA.912.A.3.4 What is the solution for the inequality shown below?−13 ≤ −4x + 7 ≤ −1 x ≤ 2 or x ≥ 5 2 ≤ x ≤ 5 x ≥ −5 or x ≤ −2 −5 ≥ x ≥ −2 18

  19. Week 3 • MA.912.A.3.4 Which graph represents the solution set for the compound inequality shown below?−2x − 15 ≥ 3x    or   (4/7)x − 3 > 5 A. B. C. 19 D.

  20. Week 3 • MA.912.A.3.4 Mark was the only student in class to get problem 34 from last night's homework correct. His teacher asked him to show his work to the class. The inequality the students had to solve was −(4x − 6) < 19. Mark wrote the steps shown below on the board.Which of the following explains step 4 of his solution? The associative property was applied. The distributive property was applied. You must change the direction of the inequality symbol whenever you divide both sides of the inequality by an even number. You must change the direction of the inequality symbol whenever you divide both sides of the inequality by a negative number. 20

  21. Week 4 • MA.912.A.3.5 Marilyn spent a total of $52.34 on two new outfits. She bought two shirts for $12.99, a pair of pants of $18.50, and a skirt. If the sales tax rate was 7.5%, how much did she pay for the skirt? $ 4 . 21 $ 7 . 85 $ 17 . 20 $ 20 . 84 21

  22. Week 4 • MA.912.A.3.5 John is buying raffle tickets at a basketball game. During halftime, the winning ticket will be drawn, and the winner will receive a video game console. John brought $50 with him to the game, but he spent $12 to get into the game and $7 on food and a soda.If each raffle ticket costs $3.75, what is the maximum number of raffle tickets he can buy? 7 8 9 10 22

  23. Week 4 • MA.912.A.3.5 On Friday, Auriel had $45 in her wallet. That night, she went to the movies and spent $9.50 on a ticket, $3.25 on a soda, and $2.75 on a box of chocolate-covered raisins. On Saturday, she bought two used books, each for the same price. When Auriel got home from the bookstore, she had only $2 left in her wallet.If Auriel did not make any other purchases, and sales tax rate on the books was 7.5%, what was the price of each book before tax? $ 12 . 79 $ 13 . 75 $ 25 . 58 $ 27 . 50 23

  24. Week 4 • MA.912.A.3.5 Chocolate candy bars are on sale for $1.90 each at the supermarket. Jerome decides to take advantage of the sale and stock up. He brought $50 with him to the store, but he spends $3 on milk, $5 on a salad, and $2 on bread.What is the maximum number of chocolate candy bars he can buy? 19 20 21 22 24

  25. Week 4 • MA.912.A.3.5 Ticket sales for Friday night's theatre performance at school totaled $850. There were a total of 145 tickets sold that night. If adult tickets cost $7.50 each and student tickets cost $5.00 each, how many adult and student tickets were sold? 50 adult tickets and 95 student tickets 72 adult tickets and 73 student tickets 73 adult tickets and 72 student tickets 95 adult tickets and 50 student tickets 25

  26. Week 4 • MA.912.A.3.5 Jasmine earns $8.15 per hour at her part-time job. She is saving for a new laptop that costs $1200, including taxes. If 16% of her paycheck is taken out for taxes, what is the minimum number of hours she needs to work to have enough money for the laptop? 26

  27. Week 4 • MA.912.A.3.5 Raj has a recipe that calls for 12 oz of a 70% orange juice solution. How much pure orange juice should Raj mix with water to create the necessary solution? 27

  28. Week 5 • 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) 28

  29. Week 5 • 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, 0)y-intercept: (0, 3) x-intercept: (0, 3)y-intercept: (6, 0) x-intercept: (3, 0)y-intercept: (0, 6) 29

  30. Week 5 • 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 30

  31. Week 5 • 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? 31

  32. Week 5 • 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? 32

  33. Week 6 • MA.912.D.7.1 Let A = {f, c, a, t} and B = {f, l, a}. Which of the following represents the intersection of A and B? {f, a} {c, t, l} {c, a, t, l} {f, c, a, t, l} 33

  34. Week 6 • MA.912.D.7.1 Let A = {1, 3, 5} and B = {5, 9}. Which of the following represents the cross product of A and B? A × B = {5, 9, 15, 25, 27, 45} A × B = {(1, 5), (1, 9), (3, 15), (3, 27), (5, 25), (5, 45)} A × B = {(5, 1), (5, 3), (5, 5), (9, 1), (9, 3), (9, 5)} A × B = {(1, 5), (1, 9), (3, 5), (3, 9), (5, 5), (5, 9)} 34

  35. Week 6 • MA.912.D.7.1 Let A = {3, 6, 9, 12} and B = {2, 4, 6, 8}. Which of the following represents the union of A and B? {6} {2, 3, 4, 8, 9, 12} {2, 3, 4, 6, 8, 9, 12} {2, 4, 6, 8} 35

  36. Week 6 • MA.912.D.7.1 Let A = {a, e, i, o, u} and B = {a, b, c, d} in the universe U = {a, b, c, d, e, i, o, u}. What is the complement of A? {a} {b, c, d} {b, c, d, e, i, o, u} {a, b, c, d, e, i, o, u} 36

  37. Week 6 • MA.912.D.7.1 Let A = {2, 4, 8, 16} and B = {4, 16, 64}. What is the intersection of A and B? {4} {4, 16} {2, 4, 8, 16, 64 {2, 4, 8, 16} 37

  38. Week 7 • MA.912.D.7.1 Let A = {s, t, a, r} and B = {p, l, a, n, e, t}. Which of the following represents the intersection of A and B? {t, a} {a, e} {s, r, p, l, n, e} {s, t, a, r, p, l, n, e} 38

  39. Week 7 • MA.912.D.7.1 Let A = {2, 4, 6} and B = {3, 6}. Which of the following represents the cross product of A and B? A × B = {6, 12, 12, 18, 24, 36} A × B = {(2, 3), (2, 6), (4, 3), (4, 6), (6, 3), (6, 6)} A × B = {(3, 2), (3, 4), (3, 6), (6, 2), (6, 4), (6, 6)} A × B = {(2, 6), (2, 12), (4, 12), (4, 24), (6, 18), (6, 36)} 39

  40. Week 7 • MA.912.D.7.1 Let A = {4, 8, 12} and B = {6, 12, 18}. Which of the following represents the union of A and B? {12} {4, 6, 8, 18} {4, 6, 8, 12, 18} {4, 8, 12} 40

  41. Week 7 • MA.912.D.7.1 Let A = {h, i, j, k} and B = {j, k, l} in the universe U = {h, i, j, k, l, m}. What is the complement of A? {l} { l, m } { h, i, j, k , l } { j, k , l , h, i, j, k, l, m } 41

  42. Week 8 • MA.912.D.7.2 There are 25 students in the 9th grade class. Of these students, 15 are taking geometry and 18 are taking a creative writing class.Which diagram correctly shows the number of students in geometry, creative writing, and both subjects? A. C. D. B. 42

  43. Week 8 • MA.912.D.7.2 The Venn diagram below shows the relationship between the members of the glee club.A = SopranosB = AltosC = Everyone else in the glee clubWhich of the following is NOT true? There are 60 members in the glee club. There are 18 members of the glee club who are neither sopranos nor altos. There are 6 members of the glee club that can sing either alto or soprano. There are more members that are altos than those who are only sopranos in the glee club. 43

  44. Week 8 • MA.912.D.7.2 There are 85 flags in Paige's flag collection. Of these, 30 of the flags include the color red in their designs, 35 include white, and 24 include neither red nor white. What is the number of flags in Paige's collection that must include both red and white? 0 1 2 4 44

  45. Week 8 • MA.912.D.7.2 There are two proteins in human blood, which are known as A and B. A person with only the A protein is blood type A; a person with only the B protein is blood type B; a person with both proteins is blood type AB; and a person with neither is blood type O.The Venn diagram to the right shows the percentages of the general population with each blood type. What percent of the population has the A protein in their blood? 45

  46. Week 8 • MA.912.D.7.2 A cat show has 52 cats entered. Some of the cats are German Shorthairs, some are males, and some are both, as shown in the diagram below.How many of the cats in the show are males, but are not German Shorthairs? 46

  47. Week 9 • MA.912.D.7.2 The Venn diagram below shows the relationship between the students in the 10th grade class.A = Blue EyesB = Blond HairC = Everyone else in the classWhich of the following is NOT true? There are 63 students in the 10th grade class. There 12 students who have blue eyes and blond hair in the 10th grade class. There are 20 students who do not have blue eyes or blond hair in the 10th grade class. There are more students with blond hair than there are students with blue eyes in the 10th grade class. 47

  48. Week 9 • MA.912.D.7.2 The freshmen class at Normandy High school contains 98 students. Of those 98, a total of 68 students have enrolled in English and 72 have enrolled in mathematics. Some students have enrolled in both English and mathematics. What number of Normandy High school freshmen have enrolled in only mathematics? 26 30 42 68 48

  49. Week 9 • MA.912.D.7.2 The Venn diagram below shows the number of web pages that were found by using the keywords ''math'' and ''education'' on Google in spring 2005. How many millions of web sites were found that contain the word ''math''? 49

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