True/False Algebra Questions With Answers - sample 2
Sample 2

Answer by TRUE or FALSE the following algebra questions. answers provided. Also included are the solutions with full explanations.


  1. (True or False)     The inequality |x + 1| < 0 has no solution.

  2. (True or False)     If a and b are negative numbers, and |a| < |b|, then b - a is negative.

  3. (True or False)     The equation 2x + 7 = 2(x + 5) has one solution.

  4. (True or False)     The multiplicative inverse of -1/4 is -1/8.

  5. (True or False)     x ÷ (2 + z) = x ÷ 2 + x ÷ z

  6. (True or False)     |-8| - |10| = -18

  7. (True or False)     (8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2)

  8. (True or False)     31.5(1.004)20 < 31.6(1.003)25

  9. (True or False)     The graph of the equation y = 4 has no x-intercept.

  10. (True or False)     The value of n(n + 3)/2 = 3/2 when n = 0.

  11. (True or False)     The distance between the numbers -9 and 20 is equal to the distance between 9 and -20 on the number line.

  12. (True or False)     If f(x) = sqrt(1 - x), then f(-3) = 2.

  13. (True or False)     The slope of the line 2x + 2y = 2 is equal to 2.

  14. (True or False)     |x + 5| is always positive.

  15. (True or False)     The distance between the points (0 , 0) and (5 , 0) in a rectangular system of axes is 5.

  16. (True or False)     1 / (2x - 4) is undefined when x = -4.

  17. (True or False)     (-1/5)-2 = 25.

  18. (True or False)     The reciprocal of 0 is equal to 0.

  19. (True or False)     The additive inverse of -10 is equal to 10.

  20. (True or False)     1 / (x - 4) = 1/x - 1/4.

Answers to the Above Questions
  1. TRUE
  2. TRUE
  3. FALSE (2x + 7 = 2x + 10 , 7 = 10 no solution)
  4. FALSE ( multiplicative inverse of -1/4 is -4)
  5. FALSE (try the values x = 8 and z = 2)
  6. FALSE ( = 8 - 10 = -2)
  7. FALSE (left side = 1 , right side = 4)
  8. FALSE
  9. TRUE
  10. FALSE ( =0 )
  11. TRUE
  12. TRUE
  13. FALSE ( = -1 )
  14. FALSE ( = 0 for x = -5)
  15. TRUE
  16. FALSE (undefined when 2x - 4 = 0 , x = 2)
  17. TRUE
  18. FALSE (the reciprocal of 0 is undefined)
  19. TRUE
  20. FALSE (try x = 2)

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