Solve for all values of c in simplest form. |c+25|=35 Answer: c=

Absolute Value Equation: We have the absolute value equation |c+25| = 35. The absolute value of a number is the distance of that number from zero on the number line, which means it is always non-negative. Therefore, c+25 can be either 35 or -35.Case when c+25 is Positive: First, let's consider the case when c+25 is positive or zero. We set c+25 equal to 35 and solve for c. c + 25 = 35 Subtract 25 from both sides to isolate c. c = 35 - 25 c = 10Case when c+25 is Negative: Now, let's consider the case when c+25 is negative. We set c+25 equal to -35 and solve for c. c + 25 = -35 Subtract 25 from both sides to isolate c. c = -35 - 25 c = -60

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Solve for all values of
c in simplest form.

|c+25|=35
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $|c+25|=35$ $\newline$ Answer: $c=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

c

in simplest form.

\newline

|c+25|=35

\newline

Answer:

c=

Absolute Value Equation: We have the absolute value equation $|c+25| = 35$ . The absolute value of a number is the distance of that number from zero on the number line, which means it is always non-negative. Therefore, $c+25$ can be either $35$ or $-35$ .
Case when $c+25$ is Positive: First, let's consider the case when $c+25$ is positive or zero. We set $c+25$ equal to $35$ and solve for $c$ .
$c + 25 = 35$
Subtract $25$ from both sides to isolate $c$ .
$c = 35 - 25$
$c = 10$
Case when $c+25$ is Negative: Now, let's consider the case when $c+25$ is negative. We set $c+25$ equal to $-35$ and solve for $c$ . $\newline$ $c + 25 = -35$ $\newline$ Subtract $25$ from both sides to isolate $c$ . $\newline$ $c = -35 - 25$ $\newline$ $c = -60$