ps algebra i. on the properties chart… addition, subtraction, multiplication, and division...
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SOLVING ONE-STEP EQUATIONS
AND “LIKE TERMS”
PS Algebra I
On the properties chart… Addition, Subtraction, Multiplication, and
Division Properties of Equality these equality properties are the basis
for solving equations goal in solving equations: to find the
value of a given variable (by getting the variable all alone on one side of the equation)
How do I get the variable alone?
in getting the variable alone, one must eliminate everything surrounding it
this “elimination” is done by performing the
opposite operation on the term being eliminated:
- if positive term (addition), subtract on both sides
- if negative term (subtraction), add on both sides
- if multiplication, divide on both sides
- if division, multiply on both sides
Let’s try some… Solve the following equations:
A.
B.
C.
D.
E.
F.
G.
H.
I.
“Like Terms”…
two or more terms are considered to be “like” if the variable portion is exactly the same:
Examples: and
and Examples of NOT like terms: and
and
Adding and Subtracting “Like Terms”… terms that are considered “like” can be
combined (just add or subtract together the “coefficients”- KEEP the variable portion the same as is!)
Examples of combining like terms…
Now you try some…
A)
B)
C)
D)
E)
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