One-Step Equations
8m = 24
What is m?
8m = 24
m = 3
-3m - 2m = 0
What is m?
-3m - 2m = 0
-5m = 0
m = 0
8b + 3b = 22
What is b?
8b + 3b = 22
11b = 22
b = 2
64 = 8(r + 2)
What is r?
64 = 8(r + 2)
64 = 8r + 16
48 = 8r
r = 6
A unknown value usually represented by a letter
Variable
11 + r = 29
What is r?
r + 11 = 29
r = 18
-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
7(f - 1) = 49
What is f?
7(f - 1) = 49
7f -7 = 49
7f = 56
f = 8
A number that does not have a variable with it.
Constant
7h = 21
What is the value of h?
7h = 21
h = 3
-3a + 11 -7a = -9
What is the value of a?
-3a + 11 -7a = -9
-10a + 11 = -9
-10a = -20
a = 2
2a + 5(a - 4) = 8
What is the value of a?
2a + 5(a - 4) = 8
2a + 5a -20 = 8
7a - 20 = 8
7a = 28
a = 4
5(d - 2) = 40
What is d?
5(d - 2) = 40
5d -10 = 40
5d = 50
d = 10
Terms that contain the exact same variable raised to the same power. Constants are these as well.
Like Terms
a/9 =-3
What is the value of a?
a/9 = -3
a = -27
(a + 3)/6 = -2
Find the value of a.
(a + 3)/6 = -2
a + 3 = -12
a = -15
6(2y + 4) = 36
What is the value of y?
6(2y + 4) = 36
12y + 24 = 36
12y = 12
y = 1
Infinitely many solutions
142 = 2(20x - 50) +2
What is x?
142 = 2(20x 50) +2
142 = 80x - 100 +2
142 = 80x - 98
240 = 80x
x = 3
A property that allows you to multiply a term on the outside of the parentheses to everything on the inside.
Distributive property
x - 4.3 = 5.7
What is the value of x?
x - 4.3 = 5.7
x = 10
9t - 6 - 6t = 6
What is the value of t?
9t - 6 - 6t = 6
3t - 6 = 6
3t = 12
t = 4
-6(m + 1) + 18 = 24
What is the value of m?
-6(m + 1) + 18 = 24
-6m -6 + 18 = 24
-6m + 12 = 24
-6m = 12
m = -2
9(y - 4) - 7y = -10
What is y?
9(y - 4) - 7y = -10
9y - 36 -7y = - 10
2y -36 = -10
2y - 26 =-10
2y = 16
y = 8
An math sentence that has a variable, operations, and numbers but no equal sign.
Algebraic Expression