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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.
1.6 Introduction to Solving Equations
Glossary Terms
equation
like terms
literal equation
solution
Substitution Property
terms
variable
1.6 Introduction to Solving Equations
Rules and Properties
Reflexive
Symmetric
Transitive
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.
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
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