Which of the following expressions is equivalent to (-2p+8)/(2p+2) ? Choose 1 answer: (A) (-p+8)/(p+2) (B) (-p+4)/(2p+2) (C) (-p+4)/(p+1) (D) p+4 p+1

Factor out common factor: Factor out the common factor in the numerator and denominator. The common factor in both the numerator and the denominator is 2. Let's factor it out. (-2p+8)/(2p+2) = 2(-p+4)/2(p+1)Simplify expression: Simplify the expression by canceling out the common factor. Since we have a factor of 2 in both the numerator and the denominator, we can cancel them out. 2(-p+4)/2(p+1) = (-p+4)/(p+1)Check answer choices: Check the answer choices to see which one matches our simplified expression. The simplified expression is (-p+4)/(p+1), which matches answer choice (C).

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Which of the following expressions is equivalent to
(-2p+8)/(2p+2) ?
Choose 1 answer:
(A)
(-p+8)/(p+2)
(B)
(-p+4)/(2p+2)
(C)
(-p+4)/(p+1)
(D)
p+4

p+1

Which of the following expressions is equivalent to $\frac{-2 p+8}{2 p+2}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{-p+8}{p+2}$ $\newline$ (B) $\frac{-p+4}{2 p+2}$ $\newline$ (C) $\frac{-p+4}{p+1}$ $\newline$ (D) $\frac{p+4}{p+1}$

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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{-2 p+8}{2 p+2}

\newline

Choose

1

answer:

\newline

(A)

\frac{-p+8}{p+2}

\newline

(B)

\frac{-p+4}{2 p+2}

\newline

(C)

\frac{-p+4}{p+1}

\newline

(D)

\frac{p+4}{p+1}

Factor out common factor: Factor out the common factor in the numerator and denominator. $\newline$ The common factor in both the numerator and the denominator is $2$ . Let's factor it out. $\newline$ $\frac{-2p+8}{2p+2} = \frac{2(-p+4)}{2(p+1)}$
Simplify expression: Simplify the expression by canceling out the common factor. $\newline$ Since we have a factor of $2$ in both the numerator and the denominator, we can cancel them out. $\newline$ $\frac{2(-p+4)}{2(p+1)} = \frac{-p+4}{p+1}$
Check answer choices: Check the answer choices to see which one matches our simplified expression. $\newline$ The simplified expression is $(-p+4)/(p+1)$ , which matches answer choice $(C)$ .