Question

Algebraic expression , topic simplify expression

Answer 1

Refer the following examples to understand how expressions are simplified.

1. Simplify the following algebraic expressions.
   A) -2x + 5 + 10x - 9
   B) 3(x + 7) + 2(-x + 4) + 5x
2. Simplify the expressions.
   A) (2x - 6) / 2
   B) (-x - 2) / (x + 2)
   C) (5x - 5)/10 Solutions and Answers to the Above Questions
3. 
   A) -2x + 5 + 10x - 9 : given
   = (10x - 2x) + (5 - 9) : put like terms together
   = 8x - 4 : group
   
   B) 3(x + 7) + 2(-x + 4) + 5x : given
   = 3x + 21 - 2x + 8 + 5x : expand
   = (3x - 2x + 5x) + (21 + 8) : put like terms together
   = 6x + 29 : group
4. 
   A) (2x - 6) / 2 : given
   = 2(x - 3) / 2 : factor 2 in numerator
   = x - 3 : divide numerator and denominator by 2 to simplify
   
   B) (-x - 2) / (x + 2) : given
   = -1(x + 2) / (x + 2) : factor -1 in numerator
   = -1 : divide numerator and denominator by x + 2 to simplify
   
   C) (5x - 5)/10 : given
   = 5(x - 1) / 10 : factor 5 in numerator
   = (x - 1) / 2 : divide numerator and denominator by 5 to simplify