Two-Step Equations
4x - 10 = 14
x = 6
(x/2) - 4 = 5
x = 18
What is the assumed coefficient in front of a variable without a coefficient?
1
A negative number divided by a negative number will result in a _________ number.
Positive.
When solving an equation, we do this to "undo" the operations in the equation.
What is an inverse operation?
6x + 36 = 36
x = 0
(2x)/3+5=15
15
The name for a letter that takes the place of an unknown number.
What is a variable?
23 + (-9) =
14
The inverse operation for Multiplication and Addition.
Multiplication --> Division
Addition --> Subtraction
-4x - 3 = 13
x = -4
x−7=−4x+3
2
The number that is multiplied by a variable.
ex. 4x
What is a coefficient?
-4 + -6 + 10 =
0
To solve 3x − 6 = 15, which two inverse operations would you use and in what order?
addition then division
12x + 20 = 8
x = -1
5b + 9 = -2b + 23
b=2
The number that does not have a variable. It is the stand alone number.
What is the constant?
-6 x -3 x -2 =
-36
3x+9=18
This is the 2nd step in solving the equation above.
Division
-9x + 17 = 107
x = -10
((3x)/4) - 5 = 7
16
This is the difference between an equation and an expression. State which has what.
Equations have an equal sign, expressions do not.
-108 / 9 =
-12
-15 - x = -30
What is the second step in solving the equation?
Divide by -1/flip the signs