Select all of the equations below that are equivalent to: 8 − c = 13 Use properties of equality. Multi-select Choices: (A)8 − c + 5 = 18 (B)8 − c + 2 = 15 (C)16 − c = 9 + 13 (D)8 − c + 3 = 15

Analyze Equation: Step 1: Analyze the original equation and the choices given. Original equation: 8 − c = 13. We need to find which choices are equivalent to this by using properties of equality Check Choice (A): Step 2: Check choice (A) 8 − c + 5 = 18. Add 5 to both sides of the original equation: (8 − c) + 5 = 13 + 5. Calculate: 18 = 18. This choice is equivalent Check Choice (B): Step 3: Check choice (B) 8 − c + 2 = 15. Add 2 to both sides of the original equation: (8 − c) + 2 = 13 + 2. Calculate: 15 = 15. This choice is equivalent Check Choice (C): Step 4: Check choice (C) 16 − c = 9 + 13. This simplifies to 16 − c = 22. Compare with original: 8 − c = 13. These are not equivalent; different constants and results Check Choice (D): Step 5: Check choice (D) 8 − c + 3 = 15. Add 3 to both sides of the original equation: (8 − c) + 3 = 13 + 3. Calculate: 16 = 16. Oops, made a mistake in calculation; it should be 15 = 16, which is incorrect

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Select all of the equations below that are equivalent to: $\newline$ $8 - c = 13$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $8 - c + 5 = 18$ $\newline$ (B) $8 - c + 2 = 15$ $\newline$ (C) $16 - c = 9 + 13$ $\newline$ (D) $8 - c + 3 = 15$

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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

8 - c = 13

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

8 - c + 5 = 18

\newline

(B)

8 - c + 2 = 15

\newline

(C)

16 - c = 9 + 13

\newline

(D)

8 - c + 3 = 15

Analyze Equation: Step $1$ : Analyze the original equation and the choices given. $\newline$ Original equation: $8 - c = 13$ . $\newline$ We need to find which choices are equivalent to this by using properties of equality
Check Choice (A): Step $2$ : Check choice (A) $8 - c + 5 = 18$ . Add $5$ to both sides of the original equation: $(8 - c) + 5 = 13 + 5$ . Calculate: $18 = 18$ . This choice is equivalent
Check Choice (B): Step $3$ : Check choice $(B) 8 − c + 2 = 15$ . Add $2$ to both sides of the original equation: $(8 − c) + 2 = 13 + 2$ . Calculate: $15 = 15$ . This choice is equivalent
Check Choice (C): Step $4$ : Check choice (C) $16 - c = 9 + 13$ . $\newline$ This simplifies to $16 - c = 22$ . $\newline$ Compare with original: $8 - c = 13$ . $\newline$ These are not equivalent; different constants and results
Check Choice (D): Step $5$ : Check choice $D$ $8 - c + 3 = 15$ . Add $3$ to both sides of the original equation: $(8 - c) + 3 = 13 + 3$ . Calculate: $16 = 16$ . Oops, made a mistake in calculation; it should be $15 = 16$ , which is incorrect