Correct Answer: C

Be careful not to count the same set of three paintings more than once -- order is not important. A ninechoose-three combination is equal to

Correct Answer: A

Correct Answer: C

5/16= 0.3125 and 9/20= 0.45; 3/8= 0.375 which is between 0.34 and 0.40, and between 0.3125 and 0.45.

Correct Answer: E

Angles e and f are vertical angles, so angle e angle f. However, angle d and angle j are not alternating angles. These angles are formed by different transversals. It cannot be stated that angle d = angle j, therefore, it cannot be stated that d + e = f + j.

Correct Answer: A

When a base is raised to a fractional exponent, raise the base to the power given by the numerator and take the root given by the denominator. Raise the base,a, to the bth power, since b is the numerator of the exponent. Then, take theth rooth of that:

Correct Answer: C

Explanation: Multiply the numbers of vocalists, guitarists, drummers, and b assists in each town to find the number of bands that can be formed in each town. There are (7)(4)(4)(2) = 224 bands that can be formed in Glen Oak. There are (5)(8)(2)(3) = 240 bands that can be formed in Belmont; 240 – 224 = 16 more bands that can be formed in Belmont.

Correct Answer: C

The midpoint of a line is equal to the average of the x-coordinates and the average of the y-coordinates of

the endpoints of the line. The midpoint of the line with endpoints at and (6, -6) is

Correct Answer: A

Correct Answer: A

Solve-6b + 2a – 25 = 25 for a in terms of b: -6b + 2a – 25 = 5, -3b + a = 15, a = 15+3b. Substitute a in terms of b into the second equation:

Substitute b into the first equation to find the value of a: -6b + 2a – 25 = 5, -6(-3) 2a – 25 = 5, 18+2a = 30, 2a = 12, a = 6. Finally, ,

Correct Answer: A

The largest factor of a positive, whole number is itself, and the smallest multiple of a positive, whole number is itself. Therefore, the set of only the factors and multiples of a positive, whole number contains one element -- the number itself.