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Sometimes when solving algebraically, equations can look very messy and complicated.

However, it is possible to "clean up" these eQfations to make solving easier.

ln this lesson, we will be learning about how to n\mP\\\ $ equations to makethem easier to solve.

What is a "[ike Term"?

We actually combine "like terms" in real life every day.

For example, 5 apples + 3 apple5 = t aP$e$ln this case, both "terms" ole ' .-. .. r: :,., so we are able to combine them.

We can take this a step further and show what we just did algebraically:

Ler c = +* o$ app\essa*la= to-What if the Terms are Not "Like Terms"?

6 bananas + 3 apples - b banarrat + t app\stWhat happened when you tried to add them together? Could you combine these? lf so,explain how you did it, if not explain why not.

Ave Y\r* Idcre Baxne. -

Now, let's show this algebraically:

Gb + to. = b\o \to'

PracticgProblems

Directiom: Choose one color highlighter for each unique term. Highlight all like terrrsusing the same color, then simplify each expression as much as possible showing allnecessary steps. lf the expression cannot be simplified explain why.

1. 3apples * 4pears -2applesQan\ be sime\r\edr\uv\krer \:ecaute \\b\\qo\ \ete \ervn.\ a{e\\-e \ex rnq

2. 3r*5y -2x*2y- 3r( --La. *5tt tY::: -X + -lS

3. 3a * 7z + 2b - a - 3z * b* 3o.-6r- + Ah +b +1+ -ta., 1_A i. 3\c +_\ a

4.2x*L0z*3r*52-2x='i."./, +3'y "'1"/ -\il1 r * r. tx *b t

5. 3 ftfths - 2thirds +2 fifths,-- 3 q'\\s +.'U Q.Q\ht- "L \h,,re\t.' % t'Q\\r\ - 'u \hrrd1= \5 Q,.Q\ee.n\hr - \o $,t\een\rq3 5 t^Q\ea'5a,Yrt= oT\Q \\\fd

c3--?,?-:1 .r1 -LO. ---+- -r ='s3strE3= =_L5v*3_1*

5j

=+5

7.2x2*x*3 B. 4xz -Zx*3x2 *x-L= \xttix' -tx + t( -\=-]i(a-^(-\

9. 3y'-zxz+3y-Zx+5x2= |S'-1xt+Ex'+B,5- 1x= ?r' -1-x +3\' , tS = 3(5-\{B +1'[t \f S1 - L

= -{E +ldr -3= 1dE -\*: -n

fi.7\m+416+316=-ldq'{5 +\E r jS5=

-1.2.tE + \dE + 3d5= \q{E + \d€ +3(E= L\s

12.30{i+sJi*:3y*a}=i0(x+ffi +biu-\3'.rr\= i\w-t{5 r J

13.5x3 * 5r * LZxz -Zx3 + 15x - x2= Ex1- -[^1j +\'Lxt ,l(t +Ex +\sr= af * \\x'+10x

14.2w+3w+axis-sy*= 1{/= *\x"= + ju/= * r3u7t

= L*o -io'o I \i Y Jx

= to Ef,x - 15t$

--4 .2 2 .2 Lr:.;r+i*-Gx+iY-eY=ftx*\*-fox.tt-tj= *x +?s

\: x +at

16.6a6 - 7a5 - a6 + LTas - 2a3

= Go," -OL -1615 + \1c1q * Lc,,u".. 5(\L + \Qaa -1q'

rz.f,x, * zx -f,r' - n*'\230 1^87

=5x--=1 + L'( - a$=., -Bx' *ta - E$'

1 8. 3n * &t - 22n * srl1 - 10JB + t51E

=-\E-rr +5d1 -\0.d\-d{ + tsf,i= -\5rt + 10dr - \0.t-. (1= - \EJ( + '10{*r- - 10 fi:. ." \5 J\