First, solve for \( \left|y + 0\right| \):

\( \left|y + 0\right| \) + 7 = 5
\( \left|y + 0\right| \) = 5 - 7
\( \left|y + 0\right| \) = -2

The value inside the absolute value brackets can be either positive or negative so (y + 0) must equal - 2 or --2 for \( \left|y + 0\right| \) to equal -2:

So, y = 2 or y = -2.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-6b² + 3b²
(-6 + 3)b²
-3b²

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $200
i = 0.06 x $200
i = $12

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

To add these radicals together their radicands must be the same:

9\( \sqrt{50} \) + 4\( \sqrt{2} \)
9\( \sqrt{25 \times 2} \) + 4\( \sqrt{2} \)
9\( \sqrt{5^2 \times 2} \) + 4\( \sqrt{2} \)
(9)(5)\( \sqrt{2} \) + 4\( \sqrt{2} \)
45\( \sqrt{2} \) + 4\( \sqrt{2} \)

Now that the radicands are identical, you can add them together: