Download Mathematics 8 Notes - Canal Winchester High School

Algebra 1 Notes
Warm Up
1. 9 – 15
3. -25 + 6
2. 6 + (-10)
4. -17 – (-12)
-19
-6
-5
-4
GOAL
SOLVE OPEN EQUATIONS AND INEQUALITIES. RECOGNIZE
AND USE THE PROPERTIES OF IDENTITY AND EQUALITY.
DIVIDE INTEGERS AND RATIONAL NUMBERS.
KEY WORDS & PROPERTIES
ADDITIVE IDENTITY, EQUATION, INEQUALITY, OPEN SENTENCE, SOLUTION,
SOLUTION SET, CLOSURE PROPERTY
Example 1
FIND THE SOLUTION SET WHEN a = {0, 3, 5}
4a  5  17
4(0)  5
4(3)  5
17 True
4(5)  5
25 False
a = {3}
5
False
2
x  1  12
5
5
2
0  1  2
5
5
2
3  1  8
5
5
2
5  1  12
5
5
a = {5}
False
False
True
Example 2
Solve:
d
7(3)  3
6
4(3  1)
21  3
d
6
4(2)
d
24
6
8
d  36
d9
Example 3
Name the property used. Find the value of n.
8  n8
ID for +
n0
0.25  1.5  n  0.25
Comm. Prop of +
n  1. 5
Example 4
Simplify.
81c
9
9(9)c
9
9c
3c  18d
3
3c  3(6)d
3
3(c  6d)
3
c  6d
Example 5
Evaluate. Name the property used in each step.
 2  3 
   1
 3  2 
 2  3 
  
 3  2 
1
ID for X
X Inverse