Two-Step Equations
Equations with Variables on both sides
Multi-Step Equations
Distribution Multi-Step Equations
Vocabulary
100
z=6
100
3 - a = 4a + 12
a=-3
100
8b + 3b = 22
What is b?
8b + 3b = 22
11b = 22
b = 2
100
64 = 8(r + 2)
What is r?
64 = 8(r + 2)
64 = 8r + 16
48 = 8r
r = 6
100
What are these numbers called?
coefficients
200
5z - 17 = 13
Solve for z
z=6
200
3x - 32 = -7x + 28
x=6
200
19x -5 - 24x = 10
What is the value of x?
19x - 24x -5 = 10
19x -24x = 15
-5x = 15
x = -3
200
7(f - 1) = 49
What is f?
7(f - 1) = 49
7f -7 = 49
7f = 56
f = 8
200
WHat is this number called?(red box)
It is a fixed value that usually stands alone.
constant
300
-27 = - 7 - 4c
Solve for c
c=5
300
-3a + 12 -6a = -9
What is the value of a?
-3a + 11 -7a = -9
-10a + 11 = -9
-10a = -20
a = 2
300
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
300
5(d - 2) = 40
What is d?
5(d - 2) = 40
5d -10 = 40
5d = 50
d = 10
300
A letter that represents an unknown number is called a?
variable
400
x=27
400
2m - 2 = 6m - 4
m=2
a = -15
400
6(2y + 6) - 4y - 5= 25
What is the value of y?
6(2y - 6) - 4y + 5= 25
12y - 36 - 4y + 5 = 25
8y - 31 = 25
8y= 56
y=7
400
68 = 5(2x + 5) + 3
What is x?
x = 4
400
A _________ is similar to an equation but it does NOT have an equal sign.
Example: 2x+3-4
2x<7=2
expression
500
t=-45
500
-6y + 17 = 3y -10
y=3
500
-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
500
9(y - 4) - 7y = 5(3y - 2)
What is y?
9(y - 4) - 7y = 5(3y - 2)
2y - 26 =15y
-26 = 13y
y = -2
500
Multiplicative Inverse: The __________ of a non-zero number.
reciprocal