Answer by true or false the follwoing algebra questions. answers provided. Also included are the solutions with full explanations.

(True or False) x^{2} and 2x are like terms.

(True or False) x^{3} and 3x are unlike terms.

(True or False) 1 / (x  9) = 0 for x = 9.

(True or False) The set of ordered pairs {(0,0),(2,0),(3,0),(10,0)} represents a function.

(True or False) a  b = b  a if b  a < 0.

(True or False) x^{2} + 1 = x^{2} + 1.

(True or False) √(x  5) ^{2} = x  5.

(True or False) (x  2)(x + 2) = x^{2}  4x  4.

(True or False) sqrt(x + 9) = sqrt(x) + sqrt(9), for all x real.

(True or False) x  3 = x + 3, for all x real and negative.

(True or False) (x + 2)^{3} = x^{3} + 2^{3}, for all x real.

(True or False) If k = 4, then the equation x^{2}  kx = 4 has one solution only.

(True or False) The discriminant of the equation: 2x^{2}  4x + 9 = 0 is negative.

(True or False) The degree of the polynomial P(x) = (x  2)(x + 3)(x  4) is equal to 3.

(True or False) The distance between the points (0 , 0) and (1 , 1) in a rectangular system of axes is equal to 1.

(True or False) The slope of the line 2x + 3y = 2 is negative.

(True or False) The relation 2y + x^{2} = 2 represents y as a function of x.

(True or False) The relation 2y + x^{2} = 2 represents x as a function of y.

(True or False) The relation x = y DOES NOT represent x as a function of y.

(True or False) The relation x = y DOES NOT represent y as a function of x.

