# 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.

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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