Here are the solutions to the questions from your image:

6) Which ordered pair is a solution of $y = -6x - 7$?

We test each pair:

1. For $(0.5, -4)$: $y = -6(0.5) - 7 = -3 - 7 = -10 \neq -4$

2. For $(2, -19)$: $y = -6(2) - 7 = -12 - 7 = -19 \quad \text{(Correct!)}$

3. For $(-2, -5)$: $y = -6(-2) - 7 = 12 - 7 = 5 \neq -5$

4. For $(3, 11)$: $y = -6(3) - 7 = -18 - 7 = -25 \neq 11$

Answer: $\mathbf{B. (2, -19)}$

7) Which values of $x$ and $y$ will make the expression $3(-2x - y)^2 = 3$?

Simplify the equation: $(-2x - y)^2 = 1$ This implies: $-2x - y = \pm 1$

Case 1: $-2x - y = 1$ $y = -2x - 1$

Case 2: $-2x - y = -1$ $y = -2x + 1$

Now, test the options:

• $(x = -2, y = 1)$: $-2(-2) - 1 = 4 - 1 = 3 \neq 1$

• $(x = -1, y = 3)$: $-2(-1) - 3 = 2 - 3 = -1 \quad \text{(Correct for Case 2!)}$

Answer: $\mathbf{B. x = -1, y = 3}$

8) Which property is illustrated by $a(b + c) = ab + ac$?

This is the Distributive Property, as it demonstrates the distribution of $a$ over $b + c$.

Answer: $\mathbf{D. \text{Distributive Property}}$

9) Complete the table.

1. For $n = 2$: $5n + 6 = 5(2) + 6 = 10 + 6 = 16, \quad 2n + 15 = 2(2) + 15 = 4 + 15 = 19$

2. For $n = 3$: $5n + 6 = 5(3) + 6 = 15 + 6 = 21, \quad 2n + 15 = 2(3) + 15 = 6 + 15 = 21$

3. For $n = 4$: $5n + 6 = 5(4) + 6 = 20 + 6 = 26, \quad 2n + 15 = 2(4) + 15 = 8 + 15 = 23$

Completed Table: