566 Final Exam
- Within the set of real numbers, the base-(−1) logarithm of 99
(a) is not defined.
(b) is equal to −1 to the 99th power, or −1.
(c) is equal to 99 to the −1st power, or 1/99.
(d) is equal to the 99th root of −1, or −1.
(e) is equal to (ln 99) to the −1st power, or approximately 0.22. - What is the sum of 3/5 and 7/12 in lowest terms?
(a) 71/60
(b) 10/17
(c) 60/71
(d) 17/35
(e) 73/69 - Imagine an integer n. We add n to 2/3 of itself, and then we subtract 3/4 of n from
that sum. We end up with −11. What is the original integer n?
(a) 11
(b)− 13
(c) 29
(d)− 12
(e) 0 - For any three-by-three linear system to have a single, unique solution, the graphs of all
the equations must
(a) not intersect anywhere.
(b) intersect at the origin of Cartesian three-space.
(c) intersect in a single flat plane.
(d) intersect in a single straight line.
(e) intersect at a single point. - Which of the following equations is not a quadratic in one variable?
(a)x^2 = 2 x+ 3
(b) 1/x=x^2 − 7
(c)x^2 + 4 x= 27
(d)x− 21 =− 8 x^2 − 22
(e) 6 +x= 2 x^2 - Which of the following is a first-degree equation in one variable? Here, x is the
variable, while a,b,c, and d are constants.
(a) 3x^2 + 5 x− 5 = 0
(b)ax+bx1/2+cx1/3=d