One-Step equations (+)
a + 3 = 8
a=5
a + 3 = 8
- 3 -3
a = 5
a - 5 = 4
a=9
a - 5 = 4
+5 +5
a = 9
5a = 25
a=5
5a = 25
/5 /5
a = 5
a/9 = 9
a=81
a/9 = 9
*9 *9
a = 81
Give me an example of a variable.
any letter
s, x, n, w, y, z, ...
x + 8 = 12
x=4
x + 8 = 12
- 8 -8
x = 4
a - 10 = 13
a=23
a - 10 = 13
+10 +10
a = 23
25n = 625
n=25
25n = 625
/25 /25
n = 25
a/7 = 35
a=245
a/7 = 35
*7 *7
a = 245
Define inverse operation
The opposite operation
The inverse operation for + is -
The inverse operation for x is divide
a + 9.4= 16.6
a=7.2
a + 9.4 =16.6
- 9.4 -9.4
a = 7.2
a - 11.5 = 30
a=41.5
a - 11.5 = 30
+11.5 +11.5
a = 41.5
2/3g = 4/9
g = 2/3
2/3 g = 4/9
/2/3 /2/3
g = 2/3
a/10 = 40
a=400
a/10 = 40
*10 *10
a = 400
What is the inverse operation of addition?
Subtraction
x + 1/2 = 8/9
x = 7/18
x + 1/2 =8/9
- 1/2 -1/2
a = 7/18
9/5=r-8/5
a = 17/5 or 3 2/5
9/5 = r - 8/5
+8/5 +8/5
17/5 = r
1.2y = 14.4
y=12
1.2y = 14.4
/1.2 /1.2
y = 12
a/1.2 = 18
a=21.6
a/1.2 = 18
*1.2 *1.2
a = 21.6
Name the 4 operations.
Addition, Subtraction, Multiplication, and Division
a + 86 = 98
a=-12
a + 86 = 98
- 86 -86
a = 12
a - 19.2 = 55.6
a=74.8
a - 19.2 = 55.6
+19.2 +19.2
a = 74.8
6/7=4/5z
15/4 =z
6/7 = 4/5z
/4/5 /4/5
15/4 = z
b/(2/3)=4/5
b = 8/15
b/(2/3) = 4/5
*2/3 *2/3
b = 8/15
What can you do to check your answer when solving?
Plug your answer in and see if it makes the equation true.