 ```Warm- Up #1 Ch1: Evaluate for x = 6 and y = 4
Try these:
1
5x
2
4x
3
3
4
5
4y  x  31
3 x  3 y
9  26 2
: Evaluate for x = 6 and y = 4
Try these
1
5x
2
4x
3
30
8
15
4y  x  31
41 3  x  3  y
5
9  26 2
3
19
6
1.2 Simplifying Expressions
• We will be able to reduce all fractions to
simplest terms!
Vocabulary:
Simplest Form: The only common factor
between the numerator and denominator is 1.
We call this process simplifying.
Factor: When two or more numbers are
multiplied to form a product, each of those
numbers are called a factor. (A factor is also a
divisor)
To “simplify fractions”:
Factor, and cancel common factors.
12

21
To “simplify fractions”:
Factor, and cancel common factors.
12 3  2  2

21
3 7
To “simplify fractions”:
Factor, and cancel common factors.
12 3  2  2 4


21
3 7
7
Divisibility Rules:
These are simple rules to make simplifying,
factoring and dividing take less time!
2- Rule: even number?
3-Rule: sum of digits divisible by 3?
4-Rule: last 2 digits divisible by 4?
5-Rule: last digit 5 or 0?
6-Rule: follows rules for 2 &amp;3
Nike Rule: “just do it” (&divide;7)
9-Rule:sum of digits divisible by 9?
10-Rule: Ends in a 0
To “simplify fractions”:
Factor, and cancel common factors.
3ab 3a

5bc 5c
To “simplify fractions”:
Factor, and cancel common factors.
7
6 1

63
9
?
You cannot “cancel”