Select all of the equations below that are equivalent to: 13q = 16 Use properties of equality. Multi-select Choices: (A)13q − 10 = 6 (B)13q − 3 = 11 (C)13q − 8 = 8 (D)13q − 5 = 9

Analyze Equation: Step 1: Analyze the original equation 13q = 16 to understand what transformations are needed to check equivalency. Transform Equation (A): Step 2: Transform the equation (A) 13q - 10 = 6 to check if it's equivalent to 13q = 16. Add 10 to both sides: 13q - 10 + 10 = 6 + 10 which simplifies to 13q = 16. Transform Equation (B): Step 3: Transform the equation (B) 13q - 3 = 11 to check if it's equivalent to 13q = 16. Add 3 to both sides: 13q - 3 + 3 = 11 + 3 which simplifies to 13q = 14. Transform Equation (C): Step 4: Transform the equation (C) 13q - 8 = 8 to check if it's equivalent to 13q = 16. Add 8 to both sides: 13q - 8 + 8 = 8 + 8 which simplifies to 13q = 16. Transform Equation (D): Step 5: Transform the equation (D) 13q - 5 = 9 to check if it's equivalent to 13q = 16. Add 5 to both sides: 13q - 5 + 5 = 9 + 5 which simplifies to 13q = 14.

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Select all of the equations below that are equivalent to: $\newline$ $13q = 16$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) 13q − 10 = 6 $\newline$ (B) 13q − 3 = 11 $\newline$ (C) 13q − 8 = 8 $\newline$ (D) 13q − 5 = 9

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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

13q = 16

\newline

Use properties of equality.

\newline

\newline

Multi-select Choices:

\newline

(A)

13q  −  10 = 6

\newline

(B)

13q  −  3 = 11

\newline

(C)

13q  −  8 = 8

\newline

(D)

13q  −  5 = 9

Analyze Equation: Step $1$ : Analyze the original equation $13q = 16$ to understand what transformations are needed to check equivalency.
Transform Equation (A): Step $2$ : Transform the equation (A) $13q - 10 = 6$ to check if it's equivalent to $13q = 16$ . Add $10$ to both sides: $13q - 10 + 10 = 6 + 10$ which simplifies to $13q = 16$ .
Transform Equation (B): Step $3$ : Transform the equation (B) $13q - 3 = 11$ to check if it's equivalent to $13q = 16$ . Add $3$ to both sides: $13q - 3 + 3 = 11 + 3$ which simplifies to $13q = 14$ .
Transform Equation (C): Step $4$ : Transform the equation (C) $13q - 8 = 8$ to check if it's equivalent to $13q = 16$ . $\newline$ Add $8$ to both sides: $13q - 8 + 8 = 8 + 8$ which simplifies to $13q = 16$ .
Transform Equation (D): Step $5$ : Transform the equation (D) $13q - 5 = 9$ to check if it's equivalent to $13q = 16$ . Add $5$ to both sides: $13q - 5 + 5 = 9 + 5$ which simplifies to $13q = 14$ .