One-Step Equations
8m = 24
What is m?
8m = 24
m = 3
4m - 8 = 0
What is m?
4m - 8 = 0
4m = 8
m = 2
8b + 3b = 22 - 11
What is b?
8b + 3b = 22 - 11
11b = 22 - 11
11b = 11
b=1
64 = 8(r + 2)
What is r?
64 = 8(r + 2)
64 = 8r + 16
48 = 8r
r = 6
What is A letter that represents an unknown value?
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
What is a single number or variable or numbers and variables multiplied together? Ex. "5x" or "-20"
A term
7h = 21
What is the value of h?
7h = 21
h = 3
-3a + 12 = -9
What is the value of a?
-3a + 12 = -9
-3a = -21
a = 7
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
What is a term that has no variable?
A Constant
a/9 =-3
What is the value of a?
a/9 = -3
a = -27
-6+x=4x
Find the value of x.
-6+x=4x
-6 = 3x
x = -2
6(2y + 6) = 36
What is the value of y?
6(2y + 6) = 36
12y + 36 = 36
12y = 0
y = 0
6n-3(-3n+2)=-24+6n
What is n?
6n-3(-3n+2)=-24+6n
6n+9n-6=-24+6n
15n-6 = -24 + 6n
9n-6 = -24
9n = -18
x = -2
What are two operations that "undo" each other?
Inverse operations
x - 4.3 = 5.7
What is the value of x?
x - 4.3 = 5.7
x = 10
6 - 6t = 6
What is the value of t?
6 - 6t = 6
-6t = 0
t=0
-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 = -40
What is the value of y?
9(y - 4) - 7y = -40
9y - 36 -7y = -40
2y -36 = -40
2y = -4
y = -2
What is a number that multiplies a variable?
A Coefficient