The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

Jennifer scored 96% on the test meaning she earned 96% of the possible points on the test. There were 210 possible points on the test so she earned 210 x 0.96 = 201 points. Each question is worth 3 points so she got \( \frac{201}{3} \) = 67 questions right.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 4}{2 x 4} \) - \( \frac{6 x 1}{8 x 1} \)

\( \frac{20}{8} \) - \( \frac{6}{8} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{20 - 6}{8} \) = \( \frac{14}{8} \) = 1\(\frac{3}{4}\)

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{6} \) ÷ \( \frac{2}{7} \) = \( \frac{1}{6} \) x \( \frac{7}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{6} \) x \( \frac{7}{2} \) = \( \frac{1 x 7}{6 x 2} \) = \( \frac{7}{12} \) = \(\frac{7}{12}\)

First, solve for \( \left|y + 8\right| \):

\( \left|y + 8\right| \) + 3 = 1
\( \left|y + 8\right| \) = 1 - 3
\( \left|y + 8\right| \) = -2

The value inside the absolute value brackets can be either positive or negative so (y + 8) must equal - 2 or --2 for \( \left|y + 8\right| \) to equal -2:

So, y = -6 or y = -10.