Select all of the equations below that are equivalent to: pq = 17 Use properties of equality. Multi-select Choices: (A)pq · –5 = –85 (B)–4pq = –72 (C)pq · 4 = 68 (D)–4pq = –68

Apply Properties of Equality: To determine if an equation is equivalent to pq = 17, we can apply properties of equality to pq = 17 and see if we can transform it into the given equations without changing the equality.Choice (A) Transformation: For choice (A), we multiply both sides of pq = 17 by -5 to see if it results in pq · -5 = -85. Calculation: 17 * -5 = -85 pq · -5 = -85 is equivalent to pq = 17 when multiplied by -5.Choice (B) Transformation: For choice (B), we multiply both sides of pq = 17 by -4 to see if it results in -4pq = -72. Calculation: 17 * -4 = -68 -4pq = -68 is the correct transformation, not -4pq = -72.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all of the equations below that are equivalent to: $\newline$ $pq = 17$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $pq \cdot -5 = -85$ $\newline$ (B) $-4pq = -72$ $\newline$ (C) $pq \cdot 4 = 68$ $\newline$ (D) $-4pq = -68$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent equations

Full solution

Q. Select all of the equations below that are equivalent to:

\newline

pq = 17

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

pq \cdot -5 = -85

\newline

(B)

-4pq = -72

\newline

(C)

pq \cdot 4 = 68

\newline

(D)

-4pq = -68

Apply Properties of Equality: To determine if an equation is equivalent to $pq = 17$ , we can apply properties of equality to $pq = 17$ and see if we can transform it into the given equations without changing the equality.
Choice (A) Transformation: For choice (A), we multiply both sides of $pq = 17$ by $-5$ to see if it results in $pq \cdot -5 = -85$ . $\newline$ Calculation: $17 \times -5 = -85$ $\newline$ pq $\cdot -5 = -85$ is equivalent to $pq = 17$ when multiplied by $-5$ .
Choice (B) Transformation: For choice (B), we multiply both sides of $pq = 17$ by $-4$ to see if it results in $-4pq = -72$ . $\newline$ Calculation: $17 \times -4 = -68$ $\newline$ $-4pq = -68$ is the correct transformation, not $-4pq = -72$ .