PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division...
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Transcript of PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division...
![Page 1: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/1.jpg)
SOLVING ONE-STEP EQUATIONS
AND “LIKE TERMS”
PS Algebra I
![Page 2: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/2.jpg)
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)
![Page 3: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/3.jpg)
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
![Page 4: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/4.jpg)
Let’s try some… Solve the following equations:
A.
B.
C.
D.
E.
F.
G.
H.
I.
![Page 5: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/5.jpg)
“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
![Page 6: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/6.jpg)
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!)
![Page 7: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/7.jpg)
Examples of combining like terms…
![Page 8: PS Algebra I. On the properties chart… Addition, Subtraction, Multiplication, and Division Properties of Equality these equality properties are the.](https://reader036.fdocuments.us/reader036/viewer/2022082821/5697c0101a28abf838ccb327/html5/thumbnails/8.jpg)
Now you try some…
A)
B)
C)
D)
E)