Which of the following expressions is equivalent to (54 k-12)/(-48 k+42) ? Choose 1 answer: (A) (9k-2)/(-8k+7) (B) (9k-2)/(8k+7) (C) (9k-2)/(-8k-7) (D) (9k-12)/(-8k+7)

Identify common factors: Identify common factors in the numerator and denominator. The numerator 54k - 12 and the denominator -48k + 42 both have common factors. We can factor out a 6 from the numerator and a -6 from the denominator.Factor out common factors: Factor out the common factors from the numerator and denominator. Numerator: 54k - 12 = 6(9k - 2) Denominator: -48k + 42 = -6(8k - 7)Simplify the expression: Simplify the expression by canceling out the common factor. (6(9k - 2)) / (-6(8k - 7)) = (9k - 2) / (-8k + 7)Match with given choices: Match the simplified expression with the given choices. The simplified expression (9k - 2) / (-8k + 7) matches with choice (A).

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Which of the following expressions is equivalent to
(54 k-12)/(-48 k+42) ?
Choose 1 answer:
(A)
(9k-2)/(-8k+7)
(B)
(9k-2)/(8k+7)
(C)
(9k-2)/(-8k-7)
(D)
(9k-12)/(-8k+7)

Which of the following expressions is equivalent to $\frac{54 k-12}{-48 k+42}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{9 k-2}{-8 k+7}$ $\newline$ (B) $\frac{9 k-2}{8 k+7}$ $\newline$ (C) $\frac{9 k-2}{-8 k-7}$ $\newline$ (D) $\frac{9 k-12}{-8 k+7}$

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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{54 k-12}{-48 k+42}

\newline

Choose

1

answer:

\newline

(A)

\frac{9 k-2}{-8 k+7}

\newline

(B)

\frac{9 k-2}{8 k+7}

\newline

(C)

\frac{9 k-2}{-8 k-7}

\newline

(D)

\frac{9 k-12}{-8 k+7}

Identify common factors: Identify common factors in the numerator and denominator. $\newline$ The numerator $54k - 12$ and the denominator $-48k + 42$ both have common factors. We can factor out a $6$ from the numerator and a $-6$ from the denominator.
Factor out common factors: Factor out the common factors from the numerator and denominator. $\newline$ Numerator: $54k - 12 = 6(9k - 2)$ $\newline$ Denominator: $-48k + 42 = -6(8k - 7)$
Simplify the expression: Simplify the expression by canceling out the common factor. $\frac{6(9k - 2)}{-6(8k - 7)} = \frac{9k - 2}{-8k + 7}$
Match with given choices: Match the simplified expression with the given choices. $\newline$ The simplified expression $(9k - 2) / (-8k + 7)$ matches with choice (A).