MATH 095 Lecture Notes - Lecture 3: Lowest Common Denominator, Empty Set, Solution Set
Math 95
Conceptual Notes
1/24/18
11:00 am – 12:20 pm
If ou hae a euatio ad ou ….
Addition Property of Equality:
add the same quantity to or subtract the same
uatit fo oth sides …
Multiplication Property of Equality:
multiply or divide both sides by the same non-
zero number
***the equation solution set does not change.***
Example:
What should be done to both sides? Add 3 →
→
→
You must always replicate the same action for one side, to the other side of the equation. This is called
balancing an equation. Otherwise, you are just changing the equation and changing the answer.
Example:
What should be done to both sides? Divide by 3 →
→
→
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find more resources at oneclass.com
Math 95
Conceptual Notes
1/24/18
11:00 am – 12:20 pm
Example:
Do ou at the to e o the left side o ight side? Left. If ou at all itself o the left, ou do’t
want it on the right side. There is already an x on the right side (7x). So how do you get rid of it? Subtract
it.
→
There is no x present on the right side. If x were to remain on the left side, it should be by itself. You
want to get rid of the 11 first, it will e easie that a. It’s like he ou hae shoes ad soks o at the
end of the day you take of your shoes first.
→
→
Check: Enter in the solution for x to check the problem. i.e.
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
If (cid:455)ou ha(cid:448)e a(cid:374) e(cid:395)uatio(cid:374) a(cid:374)d (cid:455)ou . Multiplication property of equality: add the same quantity to or subtract the same (cid:395)ua(cid:374)tit(cid:455) f(cid:396)o(cid:373) (cid:271)oth sides multiply or divide both sides by the same non- zero number. You must always replicate the same action for one side, to the other side of the equation. Otherwise, you are just changing the equation and changing the answer. If (cid:455)ou (cid:449)a(cid:374)t (cid:454) all (cid:271)(cid:455) itself o(cid:374) the left, (cid:455)ou do(cid:374)"t want it on the right side. There is already an x on the right side (7x). There is no x present on the right side. If x were to remain on the left side, it should be by itself. You want to get rid of the 11 first, it will (cid:271)e easie(cid:396) that (cid:449)a(cid:455). It"s like (cid:449)he(cid:374) (cid:455)ou ha(cid:448)e shoes a(cid:374)d so(cid:272)ks o(cid:374) at the end of the day you take of your shoes first.
