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Transcript
1.6 Introduction to Solving Equations
Objectives
• Write and solve a linear equation in one
variable.
• Solve a literal equation for a specified
variable.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
1.6 Introduction to Solving Equations
Glossary Terms
equation
like terms
literal equation
solution
Substitution Property
terms
variable
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
1.6 Introduction to Solving Equations
Rules and Properties
Reflexive
Symmetric
Transitive
Addition
Subtraction
Multiplication
Division
a=a
If a = b, then b = a.
If a = b and b = c, then a = c.
If a = b, then a + c = b + c.
If a = b, then a – c = b – c.
If a = b, then ac = bc.
a
c
If a = b, then = ,
b
d
where c  0.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
1.6 Introduction to Solving Equations
Key Skills
Write and solve a linear equation in one
variable.
Arlene rented a car for one day. The rate was
$30 per day plus $0.20 per mile. She paid a
total of $84. How many miles did she drive?
x = number of miles that Arlene drove
0.2x + 30 = 84
0.2x = 54
x = 270
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.
1.6 Introduction to Solving Equations
Key Skills
Solve each literal equation for the indicated
variable.
A
Solve P =
for n.
1+ ni
P(1 + ni) = A
Multiply by (1+ ni).
P + Pni = A
Pni = A – P
A–P
n=
Pi
distributive property
Subtract P.
Divide by Pi.
TOC
Copyright © by Holt, Rinehart and Winston. All Rights Reserved.