Solve for all values of a in simplest form. |4a+2|=6 Answer: a=

Absolute Value Equation: We have the absolute value equation |4a + 2| = 6. 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, 4a + 2 can either be 6 or -6.Solve for 4a + 2 = 6: First, let's solve for 4a + 2 = 6. Subtract 2 from both sides of the equation to isolate the term with a. 4a + 2 - 2 = 6 - 2 4a = 4 Now, divide both sides by 4 to solve for a. 4a / 4 = 4 / 4 a = 1Solve for 4a + 2 = -6: Next, let's solve for 4a + 2 = -6. Subtract 2 from both sides of the equation. 4a + 2 - 2 = -6 - 2 4a = -8 Now, divide both sides by 4 to solve for a. 4a / 4 = -8 / 4 a = -2

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Solve for all values of
a in simplest form.

|4a+2|=6
Answer:
a=

Solve for all values of $a$ in simplest form. $\newline$ $|4 a+2|=6$ $\newline$ Answer: $a=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

a

in simplest form.

\newline

|4 a+2|=6

\newline

Answer:

a=

Absolute Value Equation: We have the absolute value equation $|4a + 2| = 6$ . 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, $4a + 2$ can either be $6$ or $-6$ .
Solve for $4a + 2 = 6$ : First, let's solve for $4a + 2 = 6$ . $\newline$ Subtract $2$ from both sides of the equation to isolate the term with $a$ . $\newline$ $4a + 2 - 2 = 6 - 2$ $\newline$ $4a = 4$ $\newline$ Now, divide both sides by $4$ to solve for $a$ . $\newline$ $\frac{4a}{4} = \frac{4}{4}$ $\newline$ $a = 1$
Solve for $4a + 2 = -6$ : Next, let's solve for $4a + 2 = -6$ . $\newline$ Subtract $2$ from both sides of the equation. $\newline$ $4a + 2 - 2 = -6 - 2$ $\newline$ $4a = -8$ $\newline$ Now, divide both sides by $4$ to solve for $a$ . $\newline$ $\frac{4a}{4} = \frac{-8}{4}$ $\newline$ $a = -2$