Question

1. which one doesnt belong? identify the linear expression that does not belong with the other three. explain your reasoning. a. $(-5x + 3) - (-7x - 1)$ b. $(-3x + 3) - (-5x - 2)$ c. $(x - 6) - (-x - 10)$ d. $(-7x + 2) - (-9x - 2)$

Explanation:

Step1: Simplify expression a

First, distribute the negative sign:
$(-5x + 3) + 7x + 1$
Combine like terms:
$(-5x + 7x) + (3 + 1) = 2x + 4$

Step2: Simplify expression b

Distribute the negative sign:
$(-3x + 3) + 5x + 2$
Combine like terms:
$(-3x + 5x) + (3 + 2) = 2x + 5$

Step3: Simplify expression c

Distribute the negative sign:
$(x - 6) + x + 10$
Combine like terms:
$(x + x) + (-6 + 10) = 2x + 4$

Step4: Simplify expression d

Distribute the negative sign:
$(-7x + 2) + 9x + 2$
Combine like terms:
$(-7x + 9x) + (2 + 2) = 2x + 4$

Answer:

b. $(-3x + 3) - (-5x - 2)$
When simplified, expressions a, c, and d all equal $2x + 4$, while expression b simplifies to $2x + 5$, making it the one that does not belong.