Fill in the Blanks: (Question Below)

Question

a) An equation that yields one solution: 3x+___=___+8

 

b) An equation that yields no solution: 2x+___=___x+4

 

c) An equation that yields infinitely many solutions: 5x-20=___(___x+___)

Answer 1

a) 2 & 3 could be the two blanks, but there are infinitely many possible answers, e.g. 1 & 2 would lead to a single solution

 

b) 2 & 2 could be the two blanks; the second one should always be two but the first blank can be anything except 4

 

c) -5, -1 & 4 could be in the three blanks to yield an IDENTITY, which is not a conditional equation & so has infinitely many solutions.