2. Assessment Review Homework #1

4. 2) Complete the function table below with the missing values for y. Based on the function table, write a function rule that shows the relationship between x and y. Answer ___________ y = m x + b 19 23 4 1 y = 4 x + ? 0 b y = 4 x + -1 y = 4 x + -1 -1 Bring x back to 0 .

6. 4) Plot the ordered pairs from the table onto the graph paper below. Then draw a line segment connecting the points. Line Segment: No Arrows Need to Label Graph Pool Being Filled 160 180 Time (min) Water (gal) 180 160 140 120 100 80 60 40 20 0 0 1 2 3 4 5 6 7 8

7. 5) Graph the line with equation y = 2x – 3. a) Slope: m = 2 b) y-intercept: b = -3

8. 6) Given the linear equation, y = -2x + 3, identify the slope and y-intercept. m = ________ b = ________ Coordinates of y-intercept: _______ What does the slope tell you? _____________________________ What does the y-intercept tell you? Down 2 to the Right 1 -2 3 (0,3) Point where line crosses y-axis

9. A) 2 - 6 h B) 2h - 6 C) 6 - 2h D) 6h - 2 7) This month, Drew worked six hours less than twice the number of hours, h , he worked last month. What expression represents the number of hours Drew worked this month? 6 - 2h LESS THAN  REVERSE ORDER 6 - 2h

10. 8) Luisa works in her grandfather’s jewelry shop. She deposits her earnings in a savings account. Her savings account balances for five of the last six weeks are shown in the function table below. Part A: According to the data in the function table, write a function rule that shows how much money Luisa saves each week. Rule ______________ y = m x + b y = 110 x + ? y = 110 x + 400 b = 110 w + 400 110 1 b x y Don’t forget to change equation using b and w !!! 0 400 Week (w) Savings Balance (b) 1 $510 2 $620 3 $730 4 $840 5 ? 6 $1,060

11. 8) Part B Based on the table, how much money is in Luisa’s savings account in week 5? Show Work Answer $__________ 950 b = 110 w + 400 Plug in w =5 b = 110(5) + 400 b = 550 + 400 b = 950 950 Week (w) Savings Balance (b) 1 $510 2 $620 3 $730 4 $840 5 ? 6 $1,060 840 +110 950

12. 9) Find the greatest common factor (GCF) of 12x and (4x 2 + 8x). GCF: 4: 1, 4 12: 1, 2, 3, 4, 6, 12 8: 1,2,4,8 GCF: x: x x 2 : x x x: x GCF: 4x

13. 10) Steve drew figure ABCD. He plans to create figure A'B'C'D' by reflecting it over the x-axis. Label the new figure A'B'C'D‘. What are the coordinates of A’? ________ D’ A’ B’ C’ (-9,-7)

14. A dd M ultiply Multiply to +8 (1)(8) (2)(4) (-1)(-8) (-2)(-4) 11) Factor into two binomials Step #1 Step #2 Step #3 (x +4 )(x +2 ) or (x +2 )(x +4 ) Which pair adds up to +6?

15. 12) In the diagram below, line f and line h are parallel, and line n is a transversal. a) Name two angles that are vertical angles. b) Name two angles that are corresponding angles. c) Name two angles that are alternate interior angles.  5 and  8  6 and  7  2 and  6  4 and  8  4 and  5  3 and  6

16. 13) Graph a line with the given values. x -4 -2 0 4 y 0 1 2 4

17. Assessment Review Homework #2

18. 1) Which figure below shows a reflection? Rotation Translation Translation Reflection

19. 2) Gary drew a triangle on the coordinate grid shown below. If Gary reflects the triangle in the y-axis, what will be the new coordinates of the vertices of the triangle? Which figure below shows a reflection? A) (-1, -1), (4, -3), (-5, 1) B) (-1, -1), (-4, -3), (-5, -1) C) (-1, 1), (-4, 3), (5, -1) D) (1, 1), (4, 3), (5, 1)

20. 3) Triangle ABC and triangle A’ B’C’ are plotted on the coordinate plane below. What is the name of the transformation applied to triangle ABC that resulted in triangle A’B’C’?  A’B’C is a reflection over the y-axis.

21. 4) Which property does the equation below demonstrate? 7(x - 4) = 7x - 28 A) Associative B) Commutative C) Distributive D) Identity 7(x) 7(-4) +

23. A) 4k + 5 B) 5k - 4 C) 5k + 4 D) 5k(k + 4) 6) Cindy has four more than five times as many cousins as Kathy, k. Which expression represents how many cousins Cindy has compared with Kathy? 4 + 5x 4 + 5k or 5k + 4

25. 8) Melissa drew the shape on the grid shown below. Draw the reflection of this shape in the x-axis. Label the coordinates of each point on the new figure. Explain how you determined the reflection of the shape. (4,-2) (6,-6) (4,-8) (2,-6) I counted how many boxes each point was away from the x-axis. I then counted that many boxes on the other side of the x-axis. I plotted the new point. OR I kept the same x-coordinate and negated the y-coordinate for each point. 2 boxes to x-axis 2 boxes away from x-axis 6 boxes to x-axis 6 boxes away from x-axis

26. 9) A translation has the rule (x- 2, y+1). If the point R at ( 7 , -4 ) is put through the translation, what are the coordinates of its image location at R’? (x – 2, y + 1) R’( 7 – 2 , -4 + 1) R’( 5 , -3

27. 10) Shawn drew figure ABCD. He plans to create figure A'B'C'D' by translating figure ABCD 6 units down and 4 units to the right. On the coordinate plane below, draw and label Shawn's figure A'B'C'D'. (MARCH 2009) D’ A’ B’ C’ Next Shawn plans to create a figure A”B”C”D” by translating figure A’B’C’D’ 2 units up and 8 units to the right. What will be the coordinates of point A’’? A’’(3,3) A’’(3,3)

28. 11) Simplify. (3x 2 y 3 )(-4xy -4 ) (3)(-4)= -12 x 2  x= x 3 y 3  y -4 =y -1 -12x 3 y -1 Explain using the laws of exponents how you arrived at your answer. I multiplied 3 & -4 and got -12. I multiplied powers by keeping base and adding the exponents.

29. A dd M ultiply Multiply to -12 (1)(-12) (2)(-6) (3)(-4) (-1)(12) (-2)(6) (-3)(4) 12) Factor into two binomials Step #1 Step #2 Step #3 (x +3 )(x -4 ) or (x -4 )(x +3 ) Which pair adds up to -1?

30. 13) Find the product of the two binomials (x – 6) and (3x + 7) 3x 2 -18x +7x - 42 3x x +7 -6 3x 2 3x 2 - 11x - 42 +7x -18x -42 Multiply (x - 6)(3x + 7)

31. A) 2 + d – 3 B) 3 + d – 2 C) 2d – 3 D) 3 – 2d 14) Janine’s dog weighs three pounds less than twice the weight of Wanda’s dog, d. Which expression represents the weight of Janine’s dog? 3 - 2d LESS THAN  REVERSE ORDER 3 - 2d

32. 15) Erika is assigned to graph the line of the equation y = 2x+1. Use Erika’s equation to complete the table below for the given values of x. Using the information from the table, graph the line of the equation y =2x+1 on the coordinate plane below. Be sure to plot all points from the table and draw a line connecting the points. y=2x+1 x y -2 -3 -1 -1 0 1 2 5 4 9

33. Assessment Review Homework #3

36. 3) Solve for x in the equation below. 2(x + 6) = 8x - 42 Show your work. Answer __________ USE CALCULATOR!! 6 6 x = 9 2x +12 = 8x - 42 2(x + 6) = 8x - 42 +12 = 6x - 42 54 = 6x Multiply Cancel 2x x = 9 -2x -2x +42 +42 Cancel -42 x + 6 2 2x +12 Distribute

40. Always smallest exponent GCF: 6 (Biggest) Second: List factors of x 3 and x 4 x 3 : x x x x 4 : x x x x GCF: 6x 3 7) What is the greatest common factor of 18x 3 and 24x 4 ? GCF: x 3 First: List factors of 18 and 24 18: 1, 2, 3, 6, 9, 18 24: 1, 2, 3, 4, 6, 8,12, 24

44. 11) Factor the expression below using the greatest common factor (GCF). 18n 6 – 12n 4 + 6n A) 6n(3n 5 -2n 3 + 1) B) 6n(3n 5 -2n 3 + n) C) 6n(12n 6 -6n 3 + 1) D) 6n(12n 6 -6n 3 + n) GCF: 18:1, 2, 3, 6, 9, 18 12: 1, 2, 3, 4 ,6, 12 6: 1, 2, 2, 3, 6 GCF: n 6 : n ,n , n , n ,n ,n n 4 : n ,n ,n ,n n: n You can check by multplying answer out GCF: 6n 3n( ? ) =18n 6 -12n 4 +3n

45. 12) Simplify the expression 3a 2 + 5a-11 – 11a 2 + 2a – 12 +1 -8 a 2 +3 a Rewrite without Parenthesis + - – 3a 2 +5a - 11 - 11a 2 -2a +12 3a 2 - 11a 2 +5a -2a - 11 +12

46. 13) Solve, graph, and check -8x – 8 < -3x + 12 Variables on Different Sides Cancel Smaller +3x +3x -5x - 8 < 12 +8 +8 -5x < 20 -5 -5 x > 4 Check -8x – 8 < -3x + 12 -8 (5) – 8 < -3 (5) + 12 – 48 < -3  Divide by Negative Flip Inequality Directio 4 5 6

47. 14) Complete the table of values given the line below. (-2,-1) -1 0 2 (0,0) (2,1) (6,3) 6 4 (8,4) x y -2 0 1 3 8

48. 15) In the diagram below, line f and line h are parallel, and line n is a transversal. a) Name two angles that are vertical angles. b) Name two angles that are corresponding angles. c) Name two angles that are alternate interior angles.  5 and  8  6 and  7  2 and  6  4 and  8  4 and  5  3 and  6

49. Assessment Review Homework #4

50. 1) What is 18a 11 b 7 divided by 3a 3 b? Dividing Powers  Keep Base & Subtract Exponents “ I divided 18 by 3 to get 6. When dividing powers with same base you keep the base and subtract the exponents.”

52. 3) Which expression is equivalent (14a - 4a) + (5a -3a)? Combine Like Terms 10a + 2a (14a- 4a) + (5a – 3a) 12a

53. 4) Simplify the expression 3x 2 +4x - 3 + -2x + 1 -2 3 x 2 +2 x Rewrite without Parenthesis 3x 2 4x -2x -3 +1 Need to show how signs change!

54. 5) Simplify the expression. (x 3 y 2 )(xy 4 ) x 4 y 6 MULTIPLY Powers  Keep Base & Add Exponents

55. 6) Simplify the expression. 5 7 5 2 5 9 MULTIPLY Powers  Keep Base & Add Exponents

56. 7) Simplify the expression. Dividing Powers  Divide Coefficients. Keep Base & Subtract Exponents “ I divided 3 by 6 to get ½ . When dividing powers with same base you keep the base and subtract the exponents.”

57. 8) Simplify the expression below . A) 9a 2 b B) 9a 4 b 2 C) 18a 2 b D) 18a 4 b 2 Combine Like Terms 3a 2 b + 6a 2 b 9a 2 b

58. 9) Simplify the expression 3a 2 + a – 7 + 9a 2 + 3a – 4 -3 -6 a 2 - 2 a Rewrite without Parenthesis + – – 3a 2 +a – 7 - 9a 2 -3a +4 3a 2 -9a 2 +a -3a - 7 +4

60. 11) On the coordinate plane below, draw the image of polygon ABCDE translated 8 units to the right and 4 units up. Label the image A'B'C'D'E'. (MARCH 2008) SLIDE!!! A’ B’ E’ D’ C’

61. 12) Write an equation that represents the table below. Answer ___________ y = m x + b +3 +2 x y -2 -5 0 -2 2 1 4 4 Wh y is “ y ” on top?

62. 13) Using the slope formula, , find slope of the line given two points A(3,4) and B(-3,-2). Show Work Slope: ____ Describe the slope: 1 Up 1 to the right 1 Wh y is “ y ” on top?

63. 14) Given the linear equation, y + 2x = 7, identify the slope and y-intercept. m = ________ b = ________ Coordinates of y-intercept: _______ What does the slope tell you? _____________________________ What does the y-intercept tell you? Down 2 to the Right 1 -2 7 (0,7) Point where line crosses y-axis -2x -2x y = -2x + 7