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© 2014 Pacific Crest
95
YOUR
TURN!
Scenario:
Solve the linear equation for the designated variable: 6 – 3(
t
– 5) = 2
t
+ 11
O
ops
! A
voiding
C
ommon
E
rrors
●
Incorrect Use of Addition Property
Example
:
Why?
3 7 11
3 18
6
x
x
x
+ =
=
=
You must use the correct properties correctly,
creating equivalent equations. In this case,
3
x
+ 7 = 11 is
not
equivalent to 3
x
= 18
as the Addition Property was applied incorrectly.
●
Adding Unlike Terms
Example
:
Why?
4 2 18
6 18
3
x
x
x
+ =
=
=
It is important to be meticulous in mathematics.
The combining of terms requires paying careful
attention to ensure you combine only like terms.
●
Not dividing by a negative coefficient
Example
:
Why?
3 7
7
3
x
x
− = −
= −
Meticulous
means paying attention to details
such as signs. Don’t ignore them and be sure to
include them when performing all operations.
A
re You Ready?
Before continuing, you should be able to ...
I can...
OR
Here’s my question...
isolate a variable in an equation
remove parentheses from an equation
clear fractions in an equation
solve a linear equation
solve a literal equation for a given variable
2.4 Solving an Equation