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