Download Mathematics 8 Notes - Canal Winchester Schools

Algebra 1 Notes
Warm Up
1. x + 19 = 12
-7
2. 15x = -90
-6
3. x – 32 = 94
x
4.
8
12
126
96
Sections covered today:
3.1 – Translating
3.2 – Solving simple Add/Subtract Equations
3.3 – Solving simple Mult/Divide Equations
Example 1
Translate the verbal statement into an algebraic equation.
two hundred minus three times x is equal to nine
200 – 3x = 9
Example 2
Translate the algebraic equation into a verbal statement.
x  17  53  j
2
The sum of the square of x and 17 matches the
difference between 53 and j.
x squared and 17 equals j less than 53.
Example 3
Translate the algebraic equation into a verbal statement.
7(m + n) = 10n + 17
Seven times the sum of m and n results in
a total of ten n plus 17.
Example 4
Solve the equation.
18 + z = 44
- 18
-18
z = 26
Example 5
18 – (-f) = 91
18 + f = 91
-18
- 18
f = 73
Example 6
Eighteen subtracted from a number equals
31. Find the number.
n – 18 = 31
+ 18 +18
n = 49
Example 7
Solve the equation.
 5r  55
5 5
r  11
Example 8
3
3 2
n

14


2
2 3
n  21
Example 9
g
5

24 
 24
24 12
g  10
Example 10
Simplify.
2  1
 1
     5h  3    
3  5
 5
 1
11
    5h  
3
 5
h
11
15
 1
   
 5