Math 7

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  • Chapter 9 Expressions and equations
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  • chapter 14 Ratio and proportion
  • chapter 15 Time
  • semester 2 chapter 1 probability
  • chapter 2 Area perimeter and volume
  • Chapter 3 Integers
  • Chapter 4 Sequences expressions and formula
  • chapter 5 Placevalue ordering and rounding
  • chapter 6 Angles
  • Chapter 7 Planning and collecting data
  • Chapter 8 Fractions
  • chapter 9 Shapes and geometric reasoning
  • Chapter 10 Simplifying expressions and solving equations
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Chapter 9 Expressions and equations

SEMESTER 1




http://www.mathgoodies.com/lessons/vol7/expressions.html



People who are twins are a “like pair” becausethey have the exact same features.An Algebra Equation we can write for this ...
A typical question is : Simplify 2a + 3b + 3a                 2a + 3b + 3aIf we think of “a” being Apples and “b” being Ba...
"Like Terms" are terms that contain the same letter Variables            which are raised to the exact same Powers.( Only ...


Always remember that the Powers need to be the same.          P3 and P2 are NOT like termsThey have the same Variable lett...
Just like checking two cars very carefully, make sure youcheck every part of each pair of Algebraic Terms.            2 3 ...





Decide if the terms in each pair of items are “Like Terms”.1) 4g and 4h       ______2) 3h and –h      ______3) 5x and 4xy ...

Decide if the terms in each pair of items are “Like Terms”.1) 4g and 4h       NO – letter variables are different.2) 3h an...



To Combine Like Terms, we add together items that are thesame to make a simplified shorter list of items.Consider the foll...
We can also Subtract Like TermsSuppose that we have bought 5 apples and 6 bananas, butwe eat two bananas before putting ou...


WARNING: Like Terms are only used forAdding and Subtracting algebraic terms.We never use combining like terms for     Mult...





To Combine Like Terms, follow these steps: Identify the items which are “Like Terms” Rewrite the expression so that the ...
Simplify: 7mn – 2mn + 3mn7mn – 2mn + 3mn (three like terms)=   5mn    + 3mn=         8mn= 8mn

Simplify : 4g + 3h + 2g + 3gh + 6hg     4g + 3h + 2g + 3gh + 6gh   ( 6hg = 6gh ) = 4g + 2g + 3h + 3gh + 6gh =     6g   + 3...


Simplify the expression: 4w + 3 + 2w - 1     4w + 3 + 2w – 1 (Now Group Like Terms) = 4w + 2w + 3 – 1 (Combine Like Terms)...



Expanding brackets<br />



    𝑥   +   𝑦   <br /> <br />+<br />    𝑥   +   𝑦   <br /> <br />



4𝑥+𝑦=<br /> <br />+<br />+<br />+<br />+<br />               <br /> <br />               <br /> <br />               <br /...
4𝑥+𝑦=<br /> <br />4𝑥<br /> <br />+<br />+<br />+<br />+<br />+<br />4𝑦<br /> <br />


Expanding…<br />4𝑥+𝑦=𝑥+𝑦<br />  𝑥+𝑦<br />  𝑥+𝑦<br />  𝑥+𝑦<br />=<br /> <br />4𝑥+4𝑦<br /> <br />

Expanding…<br />4𝑥+𝑦=<br /> <br />4𝑥+4𝑦<br /> <br />

Expanding…<br />3(5𝑚−2)=<br /> <br />15𝑚−6<br /> <br />










https://www.mathsisfun.com/algebra/expanding.html















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