Let's go through each equation and identify the property of equality used to solve for the variable:
A. x + 3.75 = 7
To solve for \( x \), you would subtract \( 3.75 \) from both sides of the equation.
Property Used: Subtraction Property of Equality
B. –3b = 18
To solve for \( b \), you would divide both sides by \( -3 \).
Property Used: Division Property of Equality
C. StartFraction m Over 5 EndFraction = negative 25
To solve for \( m \), you would multiply both sides by \( 5 \).
Property Used: Multiplication Property of Equality
D. m – 4 = 9
To solve for \( m \), you would add \( 4 \) to both sides of the equation.
Property Used: Addition Property of Equality
In summary, the properties of equality used are:
- A: Subtraction Property of Equality
- B: Division Property of Equality
- C: Multiplication Property of Equality
- D: Addition Property of Equality