No.118 Transform Formulas
POINT
Use equation-solving steps to isolate the letter shown in brackets.
Solve each formula for the letter in brackets.
Example
\(3(x+y)=5\quad[x]\)
\(S=\frac12ah\quad[h]\)
\(\frac{2x+4y}{3}=1\quad[x]\)
① \(x=\frac53-y\)
② \(h=\frac{2S}{a}\)
③ \(x=\frac{3-4y}{2}\)
② \(h=\frac{2S}{a}\)
③ \(x=\frac{3-4y}{2}\)
Try it yourself.
Solve each formula for the letter in brackets.
PRACTICE 01
\(2(x-y)=7\quad[x]\)
\(x=y+\frac72\)
PRACTICE 02
\(A=\frac12bh\quad[b]\)
\(b=\frac{2A}{h}\)
PRACTICE 03
\(v=\frac{s}{t}\quad[s]\)
\(s=vt\)
PRACTICE 04
\(3x+2y=5\quad[y]\)
\(y=\frac{5-3x}{2}\)
PRACTICE 05
\(P=2(a+b)\quad[a]\)
\(a=\frac P2-b\)
PRACTICE 06
\(\frac{x+3y}{4}=2\quad[x]\)
\(x=8-3y\)