Ch 6 Sec 5: Slide #1

Columbus State Community College

Chapter 6 Section 5

Formula Rearrangement

Ch 6 Sec 5: Slide #2

Formula Rearrangement

1. Solve a formula for a specified variable.

Ch 6 Sec 5: Slide #3

Solving Equations and Formula Rearrangement

Solve each of the following for x.

2x – 4 = 16 kx – r = m ; solve for x

2x = 20 kx = m + r

2 2 k k

x = 10

+ 4 + 4 + r + r

m + r

kx =

Ch 6 Sec 5: Slide #4

Solving for a Specified Variable

EXAMPLE 1 Solving for a Specified Variable

Solve A = BCD for B.

A = BCD

A BCD=

CD CDDivide by CD.

AB=

CD

Ch 6 Sec 5: Slide #5

Solving for a Specified Variable

EXAMPLE 2 Solving for a Specified Variable

Solve y = m x + b for m.

y = m x + b Subtract b.

– b – b

y – b = m x

y – b m x=

x xDivide by x.

y – bm=

x

Ch 6 Sec 5: Slide #6

Solving for a Specified Variable

EXAMPLE 3 Solving for a Specified Variable

Solve y = b h for b.12

y = b h12

= b h2y 12

21

Multiply by 2.

2y = b h

2y b h =

h hDivide by h.

2yb =

h

Ch 6 Sec 5: Slide #7

Formula Rearrangement

Chapter 6 Section 5 – Completed

Written by John T. Wallace