One-Step Equations
8m = 24
What is m?
8m = 24
m = 3
2x + 3 =19
x = 8
-3m - 2m = 15
What is m?
-3m - 2m = 15
-5m = 15
m = -3
8b + 3b = 22
What is b?
8b + 3b = 22
11b = 22
b = 2
A sentence in which two expressions are placed EQUAL to one another.
An Equation.
11 + r = 29
What is r?
r + 11 = 29
r = 18
-3k - 1 = -13
k = 4
-10p + 9p = 12
Solve for p
-10p + 9p = 12
-1p = 12
p = -12
19x -5 - 24x = 10
What is the value of x?
19x - 24x -5 = 10
19x -24x = 15
-5x = 15
x = -3
A letter representing a number we don't know yet.
A Variable.
7h = 21
What is the value of h?
7h = 21
h = 3
-5m - 2 = -47
m = 9
-3a + 12 -6a = -9
What is the value of a?
-3a + 11 -7a = -9
-10a + 11 = -9
-10a = -20
a = 2
2a + 5a - 20 = 8
What is the value of a?
2a + 5a -20 = 8
7a - 20 = 8
7a = 28
a = 4
SADMEP
Subtraction
Addition
Division
Multiplication
Exponent
Parenthesis
a/9 =-3
What is the value of a?
a/9 = -3
a = -27
-7b - 9 = 12
b= -3
(a + 3)/6 = -2
Find the value of a.
(a + 3)/6 = -2
a + 3 = -12
a = -15
12y - 36 - 4y + 5 = 25
What is the value of y?
12y - 36 - 4y + 5 = 25
8y - 31 = 25
8y= 56
y=7
Rearranging an equation so that the variable is on its own (alone or apart).
Isolating The Variable
x - 4.3 = 5.7
What is the value of x?
x - 4.3 = 5.7
x = 10
0.5h - 7 = -9.5
h = -5
9t - 6 - 6t = 6
What is the value of t?
9t - 6 - 6t = 6
3t - 6 = 6
3t = 12
t = 4
-6m - 6 + 18 = 24
What is the value of m?
-6m - 6 + 18 = 24
-6m + 12 = 24
-6m = 12
m = -2
The opposite operation.
Inverse Operation.