Which of the following expressions is equivalent to (24)/(-12 k+84) ? Choose 1 answer: (A) (2)/(k+7) (B) (2)/(-k+7) (c) (2)/(-k+84) (D) (2)/(-12 k+7)

Simplify Numerator and Denominator: Simplify the numerator and denominator separately. 24 ÷ -12 = -2 and 84 ÷ -12 = -7. So, (24)/(-12 k+84) becomes (-2)/(k-7).Distribute Negative Sign: Notice that there's a negative sign in the numerator, which can be distributed to the denominator. So, (-2)/(k-7) becomes (2)/(-k+7).Match with Options: Now, let's match our simplified expression with the given options. The expression (2)/(-k+7) matches with option (B).

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Which of the following expressions is equivalent to
(24)/(-12 k+84) ?
Choose 1 answer:
(A)
(2)/(k+7)
(B)
(2)/(-k+7)
(c)
(2)/(-k+84)
(D)
(2)/(-12 k+7)

Which of the following expressions is equivalent to $\frac{24}{-12 k+84}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{2}{k+7}$ $\newline$ (B) $\frac{2}{-k+7}$ $\newline$ (C) $\frac{2}{-k+84}$ $\newline$ (D) $\frac{2}{-12 k+7}$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

Q. Which of the following expressions is equivalent to

\frac{24}{-12 k+84}

\newline

Choose

1

answer:

\newline

(A)

\frac{2}{k+7}

\newline

(B)

\frac{2}{-k+7}

\newline

(C)

\frac{2}{-k+84}

\newline

(D)

\frac{2}{-12 k+7}

Simplify Numerator and Denominator: Simplify the numerator and denominator separately. $\newline$ $24 \div -12 = -2$ and $84 \div -12 = -7$ . $\newline$ So, $\frac{24}{-12 k+84}$ becomes $\frac{-2}{k-7}$ .
Distribute Negative Sign: Notice that there's a negative sign in the numerator, which can be distributed to the denominator. $\newline$ So, $(-2)/(k-7)$ becomes $(2)/(-k+7)$ .
Match with Options: Now, let's match our simplified expression with the given options. $\newline$ The expression $(2)/(-k+7)$ matches with option (B).