Miscellaneous
A letter used to represent an unknown number
Variable
15k + 25
5(3k - 5)
3(a + 7)
3a + 21
12r + 22
2(6r + 11)
The inverse of multiplication
Division
3a - 7 = 26
a = 11
7g - 35
7(g -5)
9(–4t + 3)
–36t + 27
6(3b − 7)
18b − 42
A fixed number in an expression or equation
Constant
-4d + 17 = 65
d = -12
60m + 24n
12(5m + 2n)
–5(2y − 5)
–10y + 25
10f + 14
2(5f + 7)
6b - 4 = 38
b = 7
40ab + 30ac
10a(4b + 3c)
2(11b − 14c + 25)
22b − 28c + 50
8m + 11 = -53
m = -8
How do we solve equations?
Isolate the variable.
25t + 24 = 14
t = -4
40a + 8b − 24
8(5a + b – 3)
–3(0.6t + 0.2u − 8)
–1.8t − 0.6u + 24
10h + 58 = −2
h = -6