(c) 5x−a+b^2 = 8
(d)x^3 +x^2 +x= 1
(e)x−x1/2−x1/3=a+b
- When we morph a matrix representing a three-by-three linear system, we can perform
any of the following operations except one. Which one is the “illegal move”?
(a) Interchange all the elements between two rows, while keeping the elements of
both rows in the same order from left to right.
(b) Divide all the elements in a row by a nonzero constant, keeping the elements in
the same order from left to right.
(c) Multiply all the elements in a row by a nonzero constant, keeping the elements in
the same order from left to right.
(d) Add all the elements in any row to all the elements in another row, and then
replace the elements in either row by the sum, taking care to keep the elements of
both rows in the same order from left to right.
(e) Add a constant to all the elements in a row, keeping the elements in the same
order from left to right.
- A prime number is
(a) a natural number that can be factored into a product of composite numbers.
(b) a composite number that cannot be divided by any other natural number except 1
without a remainder.
(c) a natural number that is 2 or larger, and that can only be factored into a product
of itself and 1.
(d) a natural number that is the square of some composite number.
(e) a natural number that is the cube of some composite number.
- In a rectangular coordinate plane, both axes are linear. This is another way of saying that
(a) along either axis, the change in value is directly proportional to the distance we
move along that axis.
(b) both axes have increments of the same size.
(c) the origin is at the point (0, 0).
(d) linear equations always have graphs that fall exactly on one of the axes.
(e) the axes intersect at a right angle.
- Figure FE-8 is the graph of a two-by-two linear system. What is the slope-intercept equation
of line L, considering x as the independent variable and y as the dependent variable?
(a)y= (−2/3)x− 2
(b)y= (2/3)x+ 3/2
(c)y= (3/2)x+ 3
(d)y= (−3/2)x− 8/5
(e) More information is necessary to answer this
Final Exam 567
