The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

The greatest common factor (GCF) is the greatest factor that divides two integers.

April scored 90% on the test meaning she earned 90% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.9 = 54 points. Each question is worth 2 points so she got \( \frac{54}{2} \) = 27 questions right.

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{8} \) x 6\( \sqrt{5} \)
(6 x 6)\( \sqrt{8 \times 5} \)
36\( \sqrt{40} \)

Now we need to simplify the radical:

36\( \sqrt{40} \)
36\( \sqrt{10 \times 4} \)
36\( \sqrt{10 \times 2^2} \)
(36)(2)\( \sqrt{10} \)
72\( \sqrt{10} \)

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.