The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.

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 $300
i = 0.04 x $300

No payments were made so the total amount due is the original amount + the accumulated interest:

Betty scored 86% on the test meaning she earned 86% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.86 = 240 points. Each question is worth 4 points so she got \( \frac{240}{4} \) = 60 questions right.

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 28 are [1, 2, 4, 7, 14, 28]. They share 6 factors [1, 2, 4, 7, 14, 28] making 28 the greatest factor 56 and 28 have in common.