Question

Write an equivalent expression by distributing the , sign outside the parentheses: (-(q - 0.1r) + 9).

(a) (-q + 0.1r + 9)
(b) (q + 0.1r - 9)
(c) (-q - 0.1r + 9)
(d) (q - 0.1r - 9)

Answer 1

The equivalent expression after distributing the negative sign and combining like terms is (-q + 0.1r + 9), which is option (a).

Step-by-step explanation:

The question involves writing an equivalent expression by distributing the negative sign outside of the parentheses in the expression -(q - 0.1r) + 9. To do so, we apply the negative sign to each term inside the parentheses:

• -1 × q = -q
• -1 × (-0.1r) = +0.1r

Next, we combine the distributed terms with the +9 outside the parentheses:

• -q + 0.1r + 9

Therefore, the equivalent expression is (-q + 0.1r + 9), which matches option (a).