Which of the following expressions is equivalent to (9x-12)/(-12 x-3) ? Choose 1 answer: A) (3x-4)/(4x+1) (B) (3x+4)/(-4x+1) (C) (3x-4)/(-4x-1) (D) (-3x-4)/(4x+1)

Factor Common Factors: Factor out the common factors in the numerator and the denominator. The numerator 9x - 12 can be factored by taking out the common factor of 3, which gives us 3(3x - 4). The denominator -12x - 3 can be factored by taking out the common factor of -3, which gives us -3(4x + 1).Rewrite with Factored Terms: Rewrite the original expression with the factored terms. The expression becomes (3(3x - 4))/(-3(4x + 1)).Cancel Common Factors: Cancel out the common factor of 3 in the numerator and -3 in the denominator. The 3 in the numerator and -3 in the denominator cancel each other out, leaving us with (3x - 4)/(-(4x + 1)).Simplify by Distributing: Simplify the expression by distributing the negative sign in the denominator. This gives us (3x - 4)/(-4x - 1).

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Which of the following expressions is equivalent to
(9x-12)/(-12 x-3) ?
Choose 1 answer:
A)
(3x-4)/(4x+1)
(B)
(3x+4)/(-4x+1)
(C)
(3x-4)/(-4x-1)
(D)
(-3x-4)/(4x+1)

Which of the following expressions is equivalent to $\frac{9 x-12}{-12 x-3}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{3 x-4}{4 x+1}$ $\newline$ (B) $\frac{3 x+4}{-4 x+1}$ $\newline$ (C) $\frac{3 x-4}{-4 x-1}$ $\newline$ (D) $\frac{-3 x-4}{4 x+1}$

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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{9 x-12}{-12 x-3}

\newline

Choose

1

answer:

\newline

(A)

\frac{3 x-4}{4 x+1}

\newline

(B)

\frac{3 x+4}{-4 x+1}

\newline

(C)

\frac{3 x-4}{-4 x-1}

\newline

(D)

\frac{-3 x-4}{4 x+1}

Factor Common Factors: Factor out the common factors in the numerator and the denominator. $\newline$ The numerator $9x - 12$ can be factored by taking out the common factor of $3$ , which gives us $3(3x - 4)$ . $\newline$ The denominator $-12x - 3$ can be factored by taking out the common factor of $-3$ , which gives us $-3(4x + 1)$ .
Rewrite with Factored Terms: Rewrite the original expression with the factored terms. $\newline$ The expression becomes $(3(3x - 4))/(-3(4x + 1))$ .
Cancel Common Factors: Cancel out the common factor of $3$ in the numerator and $-3$ in the denominator. $\newline$ The $3$ in the numerator and $-3$ in the denominator cancel each other out, leaving us with $(3x - 4)/(-(4x + 1))$ .
Simplify by Distributing: Simplify the expression by distributing the negative sign in the denominator. This gives us $(3x - 4)/(-4x - 1)$ .