Question

Structures of Expressions Unit Test Part 1
6 of 86 of 8 Items





Question
Which expression is equivalent to −3x−5
?(1 point)
Responses

−1+3x−(2x+6)
negative 1 plus 3 x minus left parenthesis 2 x plus 6 right parenthesis

(−4x−6)+(2+5x)
left parenthesis negative 4 x minus 6 right parenthesis plus left parenthesis 2 plus 5 x right parenthesis

(x−7)+(2−4x)
left parenthesis x minus 7 right parenthesis plus left parenthesis 2 minus 4 x right parenthesis

−1+(x−4x)+6
negative 1 plus left parenthesis x minus 4 x right parenthesis plus 6
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Answer 1

To determine which expression is equivalent to \(-3x−5\), we need to simplify each of the provided options to see if any match \(-3x−5\).

1. **Option 1:** \(-1 + 3x - (2x + 6)\)

Simplifying:
\[
-1 + 3x - 2x - 6 = -1 + (3x - 2x) - 6 = -1 + x - 6 = x - 7
\]

2. **Option 2:** \((-4x - 6) + (2 + 5x)\)

Simplifying:
\[
-4x - 6 + 2 + 5x = (-4x + 5x) + (-6 + 2) = x - 4
\]

3. **Option 3:** \((x - 7) + (2 - 4x)\)

Simplifying:
\[
x - 7 + 2 - 4x = (x - 4x) + (-7 + 2) = -3x - 5
\]

4. **Option 4:** \(-1 + (x - 4x) + 6\)

Simplifying:
\[
-1 + (x - 4x) + 6 = -1 + (-3x) + 6 = -3x + 5
\]

From this analysis, the only expression that simplifies to \(-3x - 5\) is **Option 3: \((x - 7) + (2 - 4x)\)**.

Thus, the correct answer is:

**(x−7)+(2−4x)**.