transforming formula variables on both sides. literal equation "solving literal equations"...
TRANSCRIPT
TRANSFORMING TRANSFORMING FORMULAFORMULAVARIABLES ON BOTH SIDESVARIABLES ON BOTH SIDES
LITERAL LITERAL EQUATIONEQUATION
"solving literal equations" is another way of saying, "taking an equation with lots of letters, and solving for one letter in particular."
Examples of LITERAL Examples of LITERAL EQUATIONSEQUATIONS
d= rtd= rt
d=distand=distancecer=rater=ratet=timet=time
A= ½(bh)A= ½(bh)
A=area of a A=area of a triangletriangleb=baseb=baseh=heighth=height
P= 2w + P= 2w + 2l 2l
P=perimeterP=perimeterw=widthw=widthl=lengthl=length
Solving Literal Solving Literal EquationsEquations
d= rtd= rt
d=distand=distancecer=rater=ratet=timet=time
Solve for Solve for ttd= rd= rtt
r r
d= d= tt r r
tt =d =dr r
r r
Solve for Solve for rrd= d= rrt t
ttd= d= tt tt
rr =d =dtt
tt
A= ½(bh)A= ½(bh) A=area of a A=area of a triangletriangleb=baseb=baseh=heighth=height
Solve for Solve for bb
A = ½ (A = ½ (bbh)h)
A = ½ (A = ½ (bbh)h)(2)(2)(2)(2)
2A = (2A = (bbh)h)
hhhh
2A = 2A = bbhh
bb = 2A = 2A hh
A= ½(bh)A= ½(bh) A=area of a A=area of a triangletriangleb=baseb=baseh=heighth=height
Solve for Solve for hh
hh = 2A = 2A bb
YOUR TURN!YOUR TURN!
P= 2w + P= 2w + 2l 2l
P=perimeterP=perimeterw=widthw=widthl=lengthl=length
Solve for Solve for llP = 2w + 2P = 2w + 2ll
-2w-2w-2w-2wP -2w = 2P -2w = 2ll
2222
P -2w = P -2w = ll22
Solve the following Solve the following literal equations and literal equations and write each step madewrite each step made
m = ⅓ (t + e)m = ⅓ (t + e)Solve for Solve for tt
t= 3m-et= 3m-e
b = 6k + 4db = 6k + 4dSolve for Solve for dd
d=(b-6k)d=(b-6k)44
HomeworkHomeworkX = 4a + sX = 4a + sSolve for Solve for aa
X = 4a + sX = 4a + sSolve for Solve for ss
m = ⅓ (t + e)m = ⅓ (t + e)Solve for Solve for tt
h = ⅓k - wh = ⅓k - wSolve for Solve for kk
h = ⅓k - wh = ⅓k - wSolve for Solve for ww
b = 6k + 4db = 6k + 4dSolve for Solve for dd
a= x - sa= x - s44
s= x - 4as= x - 4a t= 3m-et= 3m-e
k=3(h+w)k=3(h+w) w=h - ⅓kw=h - ⅓k d=(b-6k)d=(b-6k)44