# True/False Algebra Questions

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
1. (True or False)     |-8| – |10| = -18
2. (True or False)     (8 ÷ 4) ÷ 2 = 8 ÷ (4 ÷ 2)
3. (True or False)     31.5(1.004)20 < 31.6(1.003)25
4. (True or False)     The graph of the equation y = 4 has no x-intercept.
5. (True or False)     The value of n(n + 3)/2 = 3/2 when n = 0.
6. (True or False)     The distance between the numbers -9 and 20 is equal to the distance between 9 and -20 on the number line.
7. (True or False)     If f(x) = sqrt(1 – x), then f(-3) = 2.
8. (True or False)     The slope of the line 2x + 2y = 2 is equal to 2.
9. (True or False)     |x + 5| is always positive.
10. (True or False)     The distance between the points (0 , 0) and (5 , 0) in a rectangular system of axes is 5.
11. (True or False)     1 / (2x – 4) is undefined when x = -4.
12. (True or False)     (-1/5)-2 = 25.
13. (True or False)     The reciprocal of 0 is equal to 0.
14. (True or False)     The additive inverse of -10 is equal to 10.
15. (True or False)     1 / (x – 4) = 1/x – 1/4.