True/False Algebra Questions With Answers
Sample 4
Answer by true or false the follwoing algebra questions. answers provided. Also included are the solutions with full explanations.

  1. (True or False)     x2 and 2x are like terms.

  2. (True or False)     x-3 and -3x are unlike terms.

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

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

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

  6. (True or False)     |x2 + 1| = x2 + 1.

  7. (True or False)     √(x - 5) 2 = x - 5.

  8. (True or False)     (x - 2)(x + 2) = x2 - 4x - 4.

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

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

  11. (True or False)     (x + 2)3 = x3 + 23, for all x real.

  12. (True or False)     If k = 4, then the equation x2 - kx = -4 has one solution only.

  13. (True or False)     The discriminant of the equation: 2x2 - 4x + 9 = 0 is negative.

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

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

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

  17. (True or False)     The relation 2y + x2 = 2 represents y as a function of x.

  18. (True or False)     The relation 2y + x2 = 2 represents x as a function of y.

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

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

Answers to the Above Questions
  1. FALSE (different power)
  2. TRUE
  3. FALSE (1/(9-9) = 1 / 0 undefined)
  4. TRUE
  5. FALSE (|a - b| = a - b if b - a < 0 )

  6. TRUE
  7. FALSE √(x - 5) 2 = |x - 5|
  8. FALSE
  9. FALSE (try x = 16)
  10. TRUE

  11. FALSE (try x = 2)
  12. TRUE
  13. TRUE
  14. FALSE (degree = 3)
  15. FALSE (√2)

  16. TRUE
  17. TRUE
  18. FALSE (solve for and you get 2 solutions)
  19. TRUE
  20. TRUE

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