

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

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

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

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

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

(True or False) 8  10 = 18

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

(True or False) 31.5(1.004)^{20} < 31.6(1.003)^{25}

(True or False) The graph of the equation y = 4 has no xintercept.

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

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

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

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

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

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

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

(True or False) (1/5)^{2} = 25.

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

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

(True or False) 1 / (x  4) = 1/x  1/4.
Answers to the Above Questions
 TRUE
 TRUE
 FALSE (2x + 7 = 2x + 10 , 7 = 10 no solution)
 FALSE ( multiplicative inverse of 1/4 is 4)
 FALSE (try the values x = 8 and z = 2)
 FALSE ( = 8  10 = 2)
 FALSE (left side = 1 , right side = 4)
 FALSE
 TRUE
 FALSE ( =0 )
 TRUE
 TRUE
 FALSE ( = 1 )
 FALSE ( = 0 for x = 5)
 TRUE
 FALSE (undefined when 2x  4 = 0 , x = 2)
 TRUE
 FALSE (the reciprocal of 0 is undefined)
 TRUE
 FALSE (try x = 2)
Algebra Questions and problems
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