Solve for all values of b in simplest form. |3b|=24 Answer: b=

Understand absolute value equation: Understand the absolute value equation |3b| = 24. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, 3b can be either 24 or -24.Set up separate equations: Set up two separate equations to solve for b. Since |3b| can be either 24 or -24, we have: 3b = 24 or 3b = -24Solve first equation: Solve the first equation 3b = 24. Divide both sides by 3 to isolate b. b = 24 / 3 b = 8Solve second equation: Solve the second equation 3b = -24. Divide both sides by 3 to isolate b. b = -24 / 3 b = -8

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Solve for all values of
b in simplest form.

|3b|=24
Answer:
b=

Solve for all values of $b$ in simplest form. $\newline$ $|3 b|=24$ $\newline$ 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

|3 b|=24

\newline

Answer:

b=

Understand absolute value equation: Understand the absolute value equation |3b| = 24＂).$\newlineThe absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, \$3b$ can be either $24$ or $-24$.
Set up separate equations: Set up two separate equations to solve for $b$. Since $|3b|$ can be either $24$ or $-24$, we have: $3b = 24$ or $3b = -24$
Solve first equation: Solve the first equation $3b = 24$.$\newline$Divide both sides by $3$ to isolate $b$.$\newline$$b = \frac{24}{3}$$\newline$$b = 8$
Solve second equation: Solve the second equation $3b = -24$.$\newline$Divide both sides by $3$ to isolate $b$.$\newline$$b = -24 / 3$$\newline$$b = -8$