Select all of the equations below that are equivalent to: 9 = 8z Use properties of equality. Multi-select Choices: (A)13 = 8z + 4 (B)14 = 5 + 8z (C)11 = 8z + 2 (D)20 = 8z + 11

Check Option (A): To determine if an equation is equivalent to 9 = 8z, we need to check if the other side of the equation equals 9 when we isolate z. Let's start with option (A) 13 = 8z + 4. Subtract 4 from both sides to isolate the term with z. 13 - 4 = 8z + 4 - 4 9 = 8z This is equivalent to the original equation.Check Option (B): Now let's check option (B) 14 = 5 + 8z. Subtract 5 from both sides to isolate the term with z. 14 - 5 = 5 + 8z - 5 9 = 8z This is also equivalent to the original equation.Evaluate Option (C): Next, let's evaluate option (C) 11 = 8z + 2. Subtract 2 from both sides to isolate the term with z. 11 - 2 = 8z + 2 - 2 9 = 8z This is equivalent to the original equation.Examine Option (D): Finally, let's look at option (D) 20 = 8z + 11. Subtract 11 from both sides to isolate the term with z. 20 - 11 = 8z + 11 - 11 9 = 8z This is equivalent to the original equation.

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Select all of the equations below that are equivalent to: $\newline$ $9 = 8z$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $13 = 8z + 4$ $\newline$ (B) $14 = 5 + 8z$ $\newline$ (C) $11 = 8z + 2$ $\newline$ (D) $20 = 8z + 11$

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Math Problems

Algebra 1

Identify equivalent equations

Full solution

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

\newline

9 = 8z

\newline

Use properties of equality.

\newline

\newline

Multi-select Choices:

\newline

(A)

13 = 8z + 4

\newline

(B)

14 = 5 + 8z

\newline

(C)

11 = 8z + 2

\newline

(D)

20 = 8z + 11

Check Option (A): To determine if an equation is equivalent to $9 = 8z$ , we need to check if the other side of the equation equals $9$ when we isolate $z$ . Let's start with option (A) $13 = 8z + 4$ . Subtract $4$ from both sides to isolate the term with $z$ . $13 - 4 = 8z + 4 - 4$ $9 = 8z$ This is equivalent to the original equation.
Check Option (B): Now let's check option (B) $14 = 5 + 8z$ .
Subtract $5$ from both sides to isolate the term with $z$ .
$14 - 5 = 5 + 8z - 5$
$9 = 8z$
This is also equivalent to the original equation.
Evaluate Option (C): Next, let's evaluate option (C) $11 = 8z + 2$ . Subtract $2$ from both sides to isolate the term with $z$ . $11 - 2 = 8z + 2 - 2$ $9 = 8z$ This is equivalent to the original equation.
Examine Option (D): Finally, let's look at option (D) $20 = 8z + 11$ . Subtract $11$ from both sides to isolate the term with $z$ . $20 - 11 = 8z + 11 - 11$ $9 = 8z$ This is equivalent to the original equation.