Consider the following equations and name the property of equality used to solve for the variable.

A. x + 3.75 = 7

B. –3b = 18

C. StartFraction m Over 5 EndFraction = negative 25

D. m – 4 = 9

1 answer

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