Hi-Q : Math
Given h(x) = 2x-5. If h(h(x)) = 33, what is x?
12
A hexagon has 3 angles that measure 110 degrees, two angles that measure x degrees and a final angle that measures 3x degrees. What is the measure of the largest angle in the hexagon?
(6-2)*180 = 720 degrees, 720 - 330 = 390, 390/5 = 78, 3 * 78 = 234 degrees
The equation |2x - 5|=11 (absolute value of 2x-5 equals 11) has two solutions a and b (where a and b are integers). What is the product of a * b?
-24
The sum of a negative integer and its square is 56. What is the integer?
-8
An octagon has 8 interior angles. If 5 of the angles have the same measure, and the remaining 3 angles each measure 160 degrees. What is the measure of one of the 5 angles that are the same?
120
What is log2 (64) * log5 (125) - log10 (0.01)?
6 * 3 - (-2) = 20
Given the polynomial p(x) = x^3 + Kx^2 + 5x +12 and p(3) = 0. What is the value of K?
-6
Given an angle A located in quadrant II with sin A = 6/10. The tangent of angle A can be written as a fraction p/q (where p and q are integers with no common factors). What is p - q? Give your answer as an integer.
14
A rectangle has a length that is 3 times its width. If the length and width of the rectangle are each decreased by 3 inches, the new, smaller rectangle will have an area of 72 square inches. What would be the area of the original rectangle in square inches?
147
If sin A = 3/5, and cos B = 12/13, the product of (tan A)*(cot B) can be written as a fraction p/q (where p and q are integers). What is p - q? Give your answer as an integer.
16
The product of (64)^(1/3)times (625)^(-1/4) can be written as a fraction m/n (where m and n are integers). What is the product of m times n?
20
The sum of 7 real numbers is 70. If 7 is added to each of the seven numbers and the seven new numbers are each multiplied by 7, what is the sum of the 7 resulting numbers?
539
The parabola formed by y = 3x^2 + 18x + 45 has vertex at point (h, k) where h and k are integers. What is h + k?
vertex at (-3, 18) so h + k = 15
