One-Step equations Add/Subtract
a + 3 = 8
5
Evaluate the following expression if
x=5
3x^2-16
3*5^2-16
3*25-16
75-16
59
Variable
any letter that represents a number
5a = 25
5
Are the following expressions equivalent?
2+7n
and
3n+2+4n
Yes
a - 10 = 13
23
Evaluate the following expression if
z=12
4+ 5z
4+5(12)
4+60
64
Inverse operation
The opposite, operations that undo each other
a/7 = 4
28
Are the following expressions equivalent?
3w-5
and
2+4w+3-2w
No
a + 21 = 66
45
Evaluate the following expression if
r=18
16+3r-4
16+3(18)-4
16+54-4
66
Solution
Any value for the variable that makes the equation true.
18g = 486
27
Write the expressions in standard form.
Are the following expressions equivalent?
(60s)/5
and
s+14s-3s
Yes
a - 15 = 15
30
Evaluate the following expression if
x=3
(9+x)/2-(9x-3)/4
(9+3)/2-((9*3)-3)/4
12/2-(27-3)/4
12/2-24/4
6-6
0
Coefficient
The number that is multiplied by the variable.
a/12 = 4
48
What is the Property of Equality?
Keeping the equation balanced- What you do to one side, you must do to the other.
a + 12 = 86
74
Evaluate the following expression if y=7:
((4y)/2)
minus
(21/y)
((4*7)/2)-(21/7)
14-3
11
Algorithm
A mathematical process or procedure
1/8x = 7
56
Dividing by a fraction is the same as...
Multiplying by the reciprocal.