Which property of equality is shown below? If:14 = p − q Then:14 − –74 = p − q − –74 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Statements: Analyze the given statements. If: 14 = p − q Then: 14 − (–74) = p − q − (–74) Identify the operation performed on both sides of the equation.Identify Operation: Recognize the operation added to both sides. The operation is subtracting (–74), which is equivalent to adding 74 to both sides of the equation. 14 − (–74) = p − q − (–74) simplifies to 14 + 74 = p − q + 74.Recognize Added Operation: Determine the property of equality used. By adding 74 to both sides, the equation remains balanced. This is the ＂Addition Property of Equality.＂

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of equality is shown below? $\newline$ If: $14 = p - q$ $\newline$ Then: $14 - (-74) = p - q - (-74)$ $\newline$ Choices: $\newline$ (A) Addition Property of Equality $\newline$ (B) Subtraction Property of Equality $\newline$ (C) Multiplication Property of Equality $\newline$ (D) Division Property of Equality

View step-by-step help

Home

Math Problems

Algebra 1

Properties of equality

Full solution

Q. Which property of equality is shown below?

\newline

If:

14 = p - q

\newline

Then:

14 - (-74) = p - q - (-74)

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Given Statements: Analyze the given statements. $\newline$ If: $14 = p - q$ $\newline$ Then: $14 - (\text{-}74) = p - q - (\text{-}74)$ $\newline$ Identify the operation performed on both sides of the equation.
Identify Operation: Recognize the operation added to both sides. $\newline$ The operation is subtracting $(-74)$ , which is equivalent to adding $74$ to both sides of the equation. $\newline$ $14 - (-74) = p - q - (-74)$ simplifies to $14 + 74 = p - q + 74$ .
Recognize Added Operation: Determine the property of equality used. $\newline$ By adding $74$ to both sides, the equation remains balanced. $\newline$ This is the ＂Addition Property of Equality.＂