Question

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

Answer 1

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

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B. **–3b = 18**

To solve for \( b \), you would divide both sides by \( -3 \).

**Property Used:** Division Property of Equality

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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

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D. **m – 4 = 9**

To solve for \( m \), you would add \( 4 \) to both sides of the equation.

**Property Used:** Addition Property of Equality

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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