Solve for all values of b in simplest form. |b+23|=46 Answer: b=

Understand absolute value equation: Understand the absolute value equation |b+23|=46. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |b+23|=46 means that the expression inside the absolute value, b+23, is either 46 or -46.Set up two equations: Set up two separate equations to solve for b. Since b+23 can be either 46 or -46, we write: 1) b+23 = 46 2) b+23 = -46Solve first equation: Solve the first equation b+23 = 46. Subtract 23 from both sides to isolate b: b + 23 - 23 = 46 - 23 b = 23Solve second equation: Solve the second equation b+23 = -46. Subtract 23 from both sides to isolate b: b + 23 - 23 = -46 - 23 b = -69

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Solve for all values of
b in simplest form.

|b+23|=46
Answer:
b=

Solve for all values of $b$ in simplest form. $\newline$ $|b+23|=46$ $\newline$ Answer: $b=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

b

in simplest form.

\newline

|b+23|=46

\newline

Answer:

b=

Understand absolute value equation: Understand the absolute value equation $|b+23|=46$ . $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|b+23|=46$ means that the expression inside the absolute value, $b+23$ , is either $46$ or $-46$ .
Set up two equations: Set up two separate equations to solve for $b$ . Since $b+23$ can be either $46$ or $-46$ , we write: $1$ ) $b+23 = 46$ $2$ ) $b+23 = -46$
Solve first equation: Solve the first equation $b+23 = 46$ . $\newline$ Subtract $23$ from both sides to isolate $b$ : $\newline$ $b + 23 - 23 = 46 - 23$ $\newline$ $b = 23$
Solve second equation: Solve the second equation $b+23 = -46$ . Subtract $23$ from both sides to isolate $b$ : $b + 23 - 23 = -46 - 23$ $b = -69$