NEW Review Guide (With Answers).notebook June 11, 2018

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1 6--8 Aim: SWBAT review for the final exam. HW: Final Exam Tomorrow Do Now: Packet, pencil and calculator

2 Total = 0 pens (certain) 0 (impossible) 4 #5 0 5 = 0 80 # # = 0 0 = 57 #7 5 0 # = 9 9 = = = n 50 Let n = # of times expected to land on the sun 900 = 0n = n n = 6 x 50 0 n = 45 You would expect the spinner to land on the sun 45 times 4 50 x 0,000 = 6800 Total = 50 rolls x 4 = outfits blouses skirts x coin # coin # x coin # = 8 8 outcomes

3 mean median 58 = 7.5 range 5 - = 4 9,, 5, 7, 8, 9, 0,, 5 Title mean = 7.5 median = 8 mode = none range = 4,,,, 4, 4, 5, 6, 6, 7 median = 4 lower extreme = upper extreme = 7 st Quartile = rd Quartile = 6 # of items Electronics World A It's median time is 5 minutes faster, it also has a lower range and IQR (inter quartile range) It's median time is 5 minutes faster, it also has a lower range and IQR (interquartile range) so it's data are more clustered together. A 50% 75%

4 d = 0, so r = 0 C = πd A = πr C = π 0 A = π (0) C = 0π A = 00π C = A = C 6.8 mm A 4. mm C = πd C = π 0 C = 0π C = 0π m C = πr d =, so r = 6 C = πr C = π 0 C = 0π A = πr A = π (6) π = π r π = π r π π 6π = πr A = πr 6π = πr π π 6 = r C = πd 8π = π d 8π = πd π π 8 = d A = 6π C = 0π in 6 = r ±6 = r radius = 6 in A = 6π in The radius is 6 meters. The diameter is inches d = 8 so r = 9 A = πr A = π (9) A = 8π A = 8π cm

5 B A A 8 yd A = lw A = 9 8 A = 7 B A = lw A = 5 A = 0 Total Area = A - B Total Area = 7-0 Total Area = 6 yd h l w SA = lw + wh + hl = (5)(5) + (5)(0) + (0)(5) = = 550 SA = 550 m V = lwh V = (5)(5)(0) V = 750 m SA = πr + πrh SA = π(5) + π(5)(4) SA = 50π + 40π SA = 90π SA = 90π in SA 8.7 in V = πr h V = π(5) 4 V = 00π V = 00π in V 4. in

6 diameter = 8, so radius = 4 V = πr h V = π(4) 5 V =.π V =.π ft V 48.9 ft Maxwell should find its volume because volume is the amount of space a dimensional figure occupies. side top front Area of front/back A = lw A = x A = 6 Area of Sides () A = lw A = x A = SA = SA = 6 ft V = lwh V = (6)(.5)(4) V = 60 in V = πr h 8π = π() h 8π = 9πh Volume of box of crayons 8π = 9πh 9π 9π 9 = h = 4,400 They need 4,400 cubic inches of space to store the crayons. height = 9m V = lwh 40 = 4 h 40 = 8h = h height = 5m

7 80-80 = 00 vertical angles 8x = x x - x 7x = x = = = 80 = = 75 = 80 complementary x + + x - 6 = 90 4x + 6 = x = x = No 7-8 = 6 - = 64 supplementary 7x x - = 80 0x - 40 = x = x = Let y = the measure of other angle y = y = y = 74 The other angle is 74

8 x x = x = x = 54 x = 7 x = 7 Let y = m W x = x = x = 40 The m W is 40 x + x x x = 60 5x + 0 = x = x = 68 m A = 68 m B = = 7 m C = = 8 m D = (68) = 6 -. ) 0 50 It is supplementary to 4 or 50 Vertical to OR supp. to 4 or 0 0 Vertical to Alt. interior to 4 OR corresponding to 5 OR alt. exterior to OR They are alternate exterior corresponding to 4 They are alternate interior They are corresponding 7 *The sum of the angles of a triangle is 80

9 or AB BA C AC or CA B scalene right

10 AC AB or or B C CA BA scalene obtuse > 9 4 > 8 (True) Yes Sum: = 5 Difference: 9 6 = The third must be greater than inches, but less than 5 inches. 6 feet a + b = c 6 + b = b = b = meters b = ± 6 a + b = c 0 + = c = c 44 = c ± 6 = c house x 40 ft ground tree 50 ft a + b = c 40 + b = b = b = 900 b = ± 0 The tree hit the house 0 feet above the ground.

11 x y x y Δy slope = = Δx y y x x x y x y y y x x = slope = 7 y y x x = - slope = - slope = - y-intercept = 7 slope = y-intercept = -5 slope = 5 y-intercept =

12 y intercept (let x=0) y = 6x + y = 6(0) + y = y intercept = x intercept (let y=0) y = 6x + 0 = 6x + = 6x 6 6 = x x int = y intercept (let x=0) y 4x = y 4(0) = y = y intercept = x intercept (let y=0) y 4x = 0 4x = 4x = 4 4 x = 4 x intercept = 4 y = x + 5 y = 5x y = x 6 y-intercept = - up left OR slope = - - down right y-intercept = -4 - up left OR slope = - - down right y = x + y = x + TP x, y Test Point (,) y -x - 4 -() True

13 y intercept (let x=0) y = 6x + y = 6(0) + y = y intercept = x intercept (let y=0) y = 6x + 0 = 6x + = 6x 6 6 = x x int = y intercept (let x=0) y 4x = y 4(0) = y = y intercept = x intercept (let y=0) y 4x = 0 4x = 4x = 4 4 x = 4 x intercept = 4 y = x + 5 y = 5x y = x 6 y-intercept = - up left OR slope = - - down right y-intercept = -4 - up left OR slope = - - down right y = x + y = x + TP x, y Test Point (,) y -x - 4 -() True

14 NEW Review Guide (With Answers).notebook June, 08 y= y=x x+ slope = slope = y intercept = y intercept = y=x y= x+ OR OR (, ) x y Check (, ) y=x y = x+ = = = () + = right up down right y=- x+ y = x Slope Slope y x down right y intercept - - y x up right y intercept

15 Not a function, the input - has outputs Yes, every input has exactly one output (, -) (, 5) (, ) (4, ) (6, ) {,, 4, 6} {-,,, 5} Not a function, because the input has outputs. If bottle is unopened, no servings have been poured, so x = 0. y = 8-8x y = 8-8(0) y = 8-0 y = 8

16 has exactly one output. Yes, every input I agree with the boys claim. The relation shown in the table is NOT a function because some inputs have outputs. If we reverse the x (input) and y (output), the relation would be a function because each inputs would have exactly output.

17 A Using the vertical line test -- Each vertical line drawn through the graph intersects at only location. Remember: The y-intercept is the value of y when x = slope = Δy = 4 = Δx 4 y-intercept = -5 Function Rule: y = x - 5 slope = Δy = 4 = Δx y-intercept = Function Rule y = x + translation reflection rotation dilation larger smaller translations, reflections and rotations are isometries

18 Rule: (x,y) ( x, y) A' (, 5) Rule: (x,y) (x, y) A' (, 5) Rule: (x,y) (x, y + 6) A' ( 5, ) Rule: (x,y) (x, y) B' (4, 6) Rule: (x,y) (y, x) R' ( 7, 4) Rule: (x,y) ( x, y) T' (, 9) M (, ) A (, 4) T (, ) H (, ) M' H' A' T' Rule: (x,y) (x, y) M' ( 6, 6) A' (, 8) T' (, ) H' ( 6, )

19 Rule: (x,y) (x, y) A (, 8) B (5, 5) C (5, 8) B' A' (, 8) B' (5, 5) C' (5, 8) A' C' 5

20 Rule: (x,y) ( x, y) A ( 5, 5) B (, 5) C (, ) D ( 5, ) A D B C C' D' A' (5, 5) B' (, 5) C' (, ) D' (5, ) B' A'