1 / 10

Math Substitution and Brackets Expansion Tutorial

Learn how to substitute into expressions and expand brackets before substitution in this interactive slideshow by Mr. Richard Sasaki in Room 307. Practice with examples and worksheets to master algebraic rules.

ferrel
Download Presentation

Math Substitution and Brackets Expansion Tutorial

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. Expanding brackets and substitution Slideshow 8, Room 307Mathematics, Mr Richard Sasaki

  2. Objectives • Recall how to substitute into expressions • Practice expanding brackets • Expand brackets before substituting into expressions

  3. Substitution To substitute, we swap algebraic symbols for numbers so we can get a numeric answer. Example Calculate when and . Try the short worksheet. = = Usual algebraic rules for expressions apply.

  4. Substitution Answers 9 2 56 144 75 32 8.5 67 830 Yen 12 4 = (-3) + 2 + + (-2) + (-27) + (-2.5) = -32 – + = -32 8

  5. Expanding brackets To substitute numbers into expressions with brackets, it can be easier to expand them first. This lesson, we will expand each expression before substituting.

  6. Expanding brackets Example Simplify and substitute and into it. = 32+24 = That’s about it, try the last worksheets! 56 =

  7. Answers 18 36 6 72 1 510 (256 + 128 + 64 + 32 + 16 + 8 + 4 + 2) 8 -24

  8. One last example. Example For , simplify and substitute for and . Let’s try with substitution first. (1 + 2)2 = 9 How about expanding first? ? Mmm… 12 + 22 = 5 Well that didn’t work. . So what is it?

  9. Let’s look at (x + y)2 as an area. Here we want the total area. I made the size of look different to but this doesn’t matter.

  10. So if we add each part together we get… = = How about ? And how about ?

More Related