A solution method for solving the equation 2 x minus 3 equals 5 is shown in the table.

Question

give the property for each example

2 x minus 3 equals 5
Blank space 0 empty

2 x minus 3 plus 3 equals 5 plus 3
Blank space 1 empty

2 x plus 0 equals 8
Blank space 2 empty

2 x equals 8
Blank space 2 empty

1-half left-parenthesis 2 x right-parenthesis equals 1-half left-parenthesis 8 right-parenthesis
Blank space 3 empty

x equals 4
Blank space 4 empty

Answer 1

Property for each step:

1. Addition Property of Equality
2. Additive Inverse Property (adding 3 and -3 cancels each other out)
3. Addition Property of Equality
4. Multiplicative Identity Property (multiplying by 1)
5. Multiplicative Inverse Property (dividing by 1/2, which is the same as multiplying by 2)
6. Division Property of Equality

Answer 2

use these property to fill them out

addition property of equality
associative property of multiplication
multiplication property of equality
identity property of addition
symmetric property of equality
associative property of addition
identity property of addition
identity property of multiplication
transitive property of equality

Answer 3

Filling out the table with the corresponding properties:

| Equation | Property |
|------------------------------------------|-----------------------------------|
| 2x - 3 = 5 | Symmetric Property of Equality |
| 2x - 3 + 3 = 5 + 3 | Addition Property of Equality |
| 2x + 0 = 8 | Identity Property of Addition |
| 2x = 8 | Addition Property of Equality |
| 1/2(2x) = 1/2(8) | Multiplication Property of Equality |
| x = 4 | Division Property of Equality |