1 / 8

Consecutive Integers: Numbers are one apart

Consecutive Integers: Numbers are one apart. 1 st. 2 nd. 3 rd. 4 th. x, x + 1, x + 2, x + 3, …. Consecutive Odd and Even Integers: Numbers are two apart. 1 st. 2 nd. 3 rd. 4 th. x, x + 2, x + 4, x + 6, …. # 1.

gracieb
Download Presentation

Consecutive Integers: Numbers are one apart

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Consecutive Integers:Numbers are one apart 1st 2nd 3rd 4th x, x + 1, x + 2, x + 3, … Consecutive Odd and Even Integers:Numbers are two apart 1st 2nd 3rd 4th x, x + 2, x + 4, x + 6, …

  2. # 1. Find two consecutive integers such that the sum of the smaller and 2 times the larger is 23. x = first integer x + 1 = second integer x + 2(x + 1) = 23 The two integers are 7 and 8. 3 x + 2 = 23 3 x = 21 x = 7

  3. # 2. Find two consecutive even integers such that the sum of the larger and 3 times the smaller is 234. x = first integer x + 2 = second integer x + 2 + 3 x = 234 The two integers are 58 and 60. 4 x + 2 = 234 4 x = 232 x = 58

  4. # 3. Find two consecutive odd integers such that the sum of the twice larger and 3 times the smaller is 59. x = first integer x + 2 = second integer 2(x + 2) + 3 x = 59 The two integers are 11and 13. 5x + 4 = 59 5x = 55 x = 11

  5. # 4. Find two consecutive integers such that the sum of twice the smaller and the larger is 112. x = first integer x + 1 = second integer (x + 1) + 2 (x) = 112 The two integers are 37 and 38. 3x + 1 = 112 3x = 111 x = 37

  6. # 5. Find three consecutive odd integers such that the sum of 7 times the smallest and twice the largest is – 91. x = first integer x + 2 = second integer x + 4 = third integer The three integers are – 11, - 9 and - 7. 7 x + 2 (x + 4) = - 91 7 x + 2 x + 8 = - 91 9 x + 8 = - 91 x = - 11 9 x = - 99

  7. # 6. Find three consecutive integers such that the sum of the 3 times smallest and the largest is 54. x = first integer x + 1 = second integer x + 2 = third integer The three integers are 13, 14, 15 3x + (x + 2) = 54 4x + 2 = 54 4x = 52 x = 13

  8. # 7. # 8. There are four consecutive odd integers such that the sum of the first two is 8 less than the sum of the last two. What is the first integer? There are four consecutive integers such that the sum of the first two doubled is the same as the sum of the twice the last one and the second to last one. What is the third integer? x + (x + 2) = (x + 4) + (x + 6) – 8 2*(6 + 7) = 8 + 2*9 2 x + 2 = 2 x + 2 Third Integer = 8 0 = 0 Since the variables cancel out, and the statement is true, any integers will work.

More Related