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The factored form of
30.8 n+8.4 is
a(11 n+3). What is the value of
a ?

The factored form of $30.8 n+8.4$ is $a(11 n+3)$ . What is the value of $a$ ?

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Write and solve direct variation equations

Full solution

Q. The factored form of

30.8 n+8.4

is

a(11 n+3)

. What is the value of

a

?

Compare coefficients: Compare coefficients from $a(11n + 3)$ to $30.8n + 8.4$ . $a \times 11n$ must equal $30.8n$ .
Find value of a: Divide $30.8n$ by $11n$ to find $a$ . $\newline$ $a = \frac{30.8}{11}$ $\newline$ $a = 2.8$
Check constant term: Now, check the constant term. $a \times 3$ must equal $8.4$ . $2.8 \times 3 = 8.4$

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