Select all of the equations below that are equivalent to: z + –24 = 11 Use properties of equality. Multi-select Choices: (A)–3z + 72 = –3 · 11 (B)(z + –24) · –2 = –22 (C)4z + –96 = 4 · 11 (D)–4z + 96 = –4 · 11

Given Equation Transformation: We are given the equation z + –24 = 11. To determine if the other equations are equivalent, we need to apply properties of equality to transform the given equation and compare it with each choice.Check for Equivalence with Choice (A): Let's start with choice (A): –3z + 72 = –3 · 11. To check if this is equivalent, we can multiply both sides of the original equation by -3. (z + –24) * -3 = 11 * -3 -3z + 72 = -33 This equation is not equivalent to choice (A) because the right side of choice (A) is -33, not -3 · 11.

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Select all of the equations below that are equivalent to: $\newline$ $z + -24 = 11$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $-3z + 72 = -3 \cdot 11$ $\newline$ (B) $(z + -24) \cdot -2 = -22$ $\newline$ (C) $4z + -96 = 4 \cdot 11$ $\newline$ (D) $-4z + 96 = -4 \cdot 11$

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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

z + -24 = 11

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

-3z + 72 = -3 \cdot 11

\newline

(B)

(z + -24) \cdot -2 = -22

\newline

(C)

4z + -96 = 4 \cdot 11

\newline

(D)

-4z + 96 = -4 \cdot 11

Given Equation Transformation: We are given the equation $z + (-24) = 11$ . To determine if the other equations are equivalent, we need to apply properties of equality to transform the given equation and compare it with each choice.
Check for Equivalence with Choice (A): Let's start with choice (A): $–3z + 72 = –3 \cdot 11$ . To check if this is equivalent, we can multiply both sides of the original equation by $-3$ . $(z + –24) \cdot -3 = 11 \cdot -3$ $-3z + 72 = -33$ This equation is not equivalent to choice (A) because the right side of choice (A) is $-33$ , not $-3 \cdot 11$ .