Select all of the equations below that are equivalent to: –20 = pq Use properties of equality. Multi-select Choices: (A)60 = pq · –3 (B)40 = –2pq (C)100 = pq · –5 (D)80 = –4pq

Identify Equation & Operation: Identify the original equation and the operation needed to check equivalency. Original equation: -20 = pq. To find equivalent equations, we need to apply the same operation to both sides of the equation. Check Option (A): Check option (A) 60 = pq · -3. Apply multiplication by -3 to the original equation: -20 * -3 = 60. This results in 60 = pq, not 60 = pq · -3.

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Select all of the equations below that are equivalent to: $\newline$ $-20 = pq$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $60 = pq \cdot -3$ $\newline$ (B) $40 = -2pq$ $\newline$ (C) $100 = pq \cdot -5$ $\newline$ (D) $80 = -4pq$

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Math Problems

Algebra 1

Identify equivalent equations

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

\newline

-20 = pq

\newline

Use properties of equality.

\newline

\newline

Multi-select Choices:

\newline

(A)

60 = pq \cdot -3

\newline

(B)

40 = -2pq

\newline

(C)

100 = pq \cdot -5

\newline

(D)

80 = -4pq

Identify Equation & Operation: Identify the original equation and the operation needed to check equivalency. $\newline$ Original equation: $-20 = pq$ . To find equivalent equations, we need to apply the same operation to both sides of the equation.
Check Option (A): Check option (A) $60 = pq \cdot -3$ . Apply multiplication by $-3$ to the original equation: $-20 \times -3 = 60$ . This results in $60 = pq$ , not $60 = pq \cdot -3$ .