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23, 33, 43, 11. 5, 24, 43, 62, 12. 17, 30, 43, 56, 13. 7, 6, 5, 4, 3, 14. 12, 10, 8, 6, 15. 12, 9, 6, 3, 13. (27 .6.2.F.).. ✓ 24. ✓ ...M 69 10th ..?! ...3.2..., 19. 19 31. 53 63 33 67³³45 34 100 52 ..9.5., 5292 ✓ 824 pachy.. 61 46 Linear Ĉ Sequences Go up or down Same amount time on by by adding or Subtracting • They give straight line graphs Z the each Example: Create a diffrent linear Sequences that both start with the number 20 20 25 20 27 34 } 30 35 91 15 Sept 10 Sept geomtric are multiplied amount each time. xample xampla. rample! or divied xB 2 فيليب xample 2. 2 6 18 54 10 000 -10 4 8 * by the same 1000 Sequences -10 100 10 A 10 1 Inverse X left : Right + left 1 Right Subtract each time add and Subtract A function show's where to the the is it. The called Example 4 machine number Function Example 2 What out put number certain machine INPUT number the that INPUT going x 2 10 happens and P Machines. called سے اما you that input went x 3 +6 diagram the +6 rules comes the I had input ? +5] that machine out put 30 Sept OUTPUT 18 out of 16 and the machine OUTPUT 16 applied gave you 13 the find the 21101 22 function machines прот 15 2 31 110# 11-21 X10 BALY 121 19 Outpur 4 7 = 10 +7 - 19 fiez 23 T20 4.12 +2 5.9 You (leep asking for help when You have made a and keep up 199⁰ Z Well done great start to 17! work you O are Jate Well done unsure 13 October Multiplying abe Example algebraic expressions 5xx:52 2xy = 2y a × b = ab! axbxq = ab q 13-66 2 25x Fury - 3x4 Substitution in algebra Lets pretend X =5 What would the follo be now? following expressions 5 1) 3X+2 = 3x5+2=17X 2) 20 = 20 = 20÷5= 4√ 3) (X+6)x4 = 5+6+4=44 ✓ 8.0) 16 b) x + 200+ = fpt 3x+26√16 + 1X S ==3y + 5x by 44% = 1₁ -410-14 x + 30+ X+8 150 Jy = 200+265 5x + +9₁- гу, ах ух 2x = y + 3x = 2y + x + 4x +9³ +1 - by E 0 +2 = 2x+8 Replacing letters for Numbers. SUBSTITUTION 9. Lets pretend x = 10 1 1 1 1 1 1 1 1 1 1 1 1 555 10 10 50 50 50 10 10 55 5 X 1 5 5 5 5 X 2 5 5 X 5 9 9 9 ܗ ܗ ܘ ܘ ܘ ܘ ܘ ܘ ܗ ܗ 1 Times Table 9 9 9 X 1 X 2 X 3. = X 4 = X 5 X6 X 7 X 8 X 9 X 10 = X 11 = X 12 = 9 9 9 xxxxxxxxxxxx 9 5 Times Table X 3 X X X X X X 234561 X 11 12 9 X 6 X 7 8 X 9 10 9 X 11 12 7 8 X 9 = xxxxxxxxxx = X = X = X 11|||||||||||||||| = = = = 1 X X 2 = X 3 = X 4 X 5 = = = 50 10 = 55 60 9 Times Table 11111 1 2 3 4 5 6. 7 8 9 10 11 12 = = 5 = 159585948 = 10 15 20 9 18 27 36 45 54 63 72 81 90 99 108 = 25 30 35 40 Multiplication Times Table Chart 2 1 2 X 2 2 X 3 2 X 4 2 X 5 2 X 6 22 2 2 2 2 2 6 6 ܗ ܗ ܗ ܗ ܗ ܗ ܗ ܗ ܗ ܗ ܗ 6 6 6 6 2 Times Table 6 X X 1 X 2 X 3 X 4 X 5 6 7 8 xxxxxx X 7 X 8 X 9 X 10 X 11 X 12 = X X X 9 X 10 6 X 11 X 6 Times Table 10 X 10 X 10 X 10 X 10 X 10 X 10 X 10 X 1 23 10 X 4 66949UHE 5 7 = 10 X 9 = 10 X 10 = = 11 X 12 = 10 X 12 = = = 10 Times Table = = = = = = = = = = = 8 = 1111 10 = 20 = = 2 4 6 8 10 12 14 16 18 20 22 24 = In 6 12 18 24 30 36 42 48 54 = 60 66 72 30 40 50 60 70 80 90 100 110 120 3 3 3 3 3 3 3 3 3 3 3 3 7 3 Times Table 7777777777 X 1 X 2 X 3 X 4 X 5 X 6 X 7 X 8 X 9 X 10 X 11 X 12 X 1 7. X 2 XXXXXX X 5 X 6 7 X 8 X 9 X 10 7 X 11 7 X 12 11 X 11 X 11 X = 11 X 11 X 11 X 11 X 11 X 11 X = 7 Times Table = 234 11 X 11 X 5 11 X 6 7 8 9 10 11 12 = = = = = = 3 4 = 7 14 21 28 = 35 42 49 = 56 63 70 77 84 = = 11 Times Table = = = 1 = = = = = 44 = = = 3 6 9 12 15 18 21 24 27 30 33 36 = = = = 11 22 33 55 66 77 88 99 110 121 132 4 X 4 X 4 4 4 4 00 00 00 00 00 00 00 00 00∞∞∞ 8 8 8 4 X 7 4 X 8 4 X 9 4 X 10 4 X 11 4 X 12 = 8 8 8 8 4 Times Table 8 1 2 X 3 X 4 X 5 X 6 8 XX <XXX = XXXX = XX = 8 Times Table 1 2 X 3 4 5 6 = 7 8 9 X 10 = 11 = 12 = 1 2 3 4 5 = = = = = = 1111 = 12 X 12 X 12 X 12 X 12 X 12 X 6 12 X 7 12 X 8 12 X 9 12 X 10 = 12 X 11 12 X 12 = 12 Times Table = = 4 8 12 16 20 24 28 32 36 40 44 48 = = 8 16 24 32 40 48 56 64 72 80 88 96 12 24 36 48 60 72 84 96 108 120 132 144 2010/2023 Misun mands for any Aviations qu 2) Tikksales 80 people took the driving test 45 of the people www men 28 of the me passed their tel 27 of the womer passed the s Complete the frequency rea How many more mr than wore did not pass their tast? 80 people took their driving test 45 of the people were men 26 of the man passed their t 27 of the women passed their test Complets the frequency tree. How many more men than warnan did not pass their best? a mine mentaled na year group of 140 studente, 34 regr 47 of the students ware glasses, induding 23 heys Show this information on a frequency tree Man Nemer 35 pist JLN 23 DEB X Porimber = 24 cm 26/01/23 Prequency Free 388) Fruit 185 Veg un Uk 52 other 75B other 06/02/25 factors of a number. Factors of a number are all the numbers that will fit into it Perfectly. They will divide into it with no remainders Q. What are all the factors of 6? 6 List of the factors. 31. a- BAAAAA b 6 Q2. What are all the factors of 24? 24 5 Qs What is the highest Common factor of 6 and 20? 16 D 2 25 9² co tant 8 12 24 h- 40 to +but S3004 94 11 J by the bottom ake your amount, divide 81 un니? 11t/ 20=5=4 리 XXXX) 4 9 डे 21-03 21 W 0 La 91-8 = 8 AN 21 B = 91 Questions I Exercise bhe 0 들고, 들고 두 ㅎ 무 of Amounts 5 Page 22 t 2- prod 13/03/25 Negative Numbers P.g-379 9.2A question DOT OF P.g.-382 Consolidate question a QUESTION 3 P9-386 9.134 Questions-3,4,5,7 10.g - 388 Consolidate question 1,2,3 924 1- 5+-2=3 beth is working out 5+−2+3 Explain : She used there all sogation to get the Lawnser 80 She 5- March Up 5 Plus than 21 go+ So it you put them on bogether it I would be 3. -9-13-12 6- Work Out ---7--2--11 -15 -ball 2 minules 15 2-3164-28 -4 6-31-2= -5 11-50/78 cl -5+6= -9 3.4463 (8) -4+-2=-2 0-54-25-3 49-72 J 16/03/23 Negative Danvers 1- -643 40 7 3 -4-4-4 -4×6-24 5. a)-13-4-17 6)-3+/-2):-5 9-3-1-4)=1 5-6-3+5=1 44-(-5): 9 22222 6x2010 104209 23/3/23 Fractions N G/N 5 کا 8 نمود 늘어 امه [y جاج 0 ہے م - 24 of بے 6 + 24 hlit 8 27/03/23 adding and Subtracting fractions ● If the denominators (number on the bottom fraction) are different, use equivalant fraction roles, to make them the Same first. ~/M یه امن Example : 00/= 10 20 + 5 20 a/n m/ = 30 min -5 what you * for the bottom (visa versa) 10 20x5 10 20 at 10 - 10 201410 " 1x or = the top by, you do the same - 50 100 30 H~ ç 10 Adding Fractions 1. Same Demonminaters. (4) 3 15 B 6 +7 + 11 15 it = 2. Diferent Domoniminaters. A 7 1+1=1/153 21 21 7x3=21 13 21 be the they use Same bottom again for the awnser and add the top This is the reach for the star method and then yoo times the 2 bottom numbers by each other to to get the bottom number the cross over get your top number then add the fractions by each other get your number 33x2=66 3 3 12%² 6 34x2=68 3 4 P/6/9/8/2 96, 8 6/5 18 93× 5 = 465 9 3 4/51/55 81×8=648 148 O 1 14,8 24x2=48 24 14/1² 4 AZ2 2,8 14×2=28 31×4=124 3 1/21/44 4 58×7= 8 4,1²/²15/6/7 10/6 51x8= 51 14/01/18 9184x8=273072 9184 7ZZZZ 8 6 4 4 72 3, O 850x9=7650 850 77%9 7650 به تهمت مید fraction of an amanet Example : + 04 16 =8 054 / 09 / 20 = Divide by the of or of =12 botton You Cando this. So the question is # of 24 = but then you can also do this first Step: Second Step: سلعية Times by the top 6 6 6 one quater each G So then divide by the bottom * 15 = 3 divide by the bottom number