Question

Translate each verbal description into an algebraic expression. Then simplify

Answer 1

Answer:

(1/3)q  - (4/3) p - 5/9

Step-by-step explanation:

Step one

Write the fractional form of the givens

(1/3)(q + p)

(5/9)(3p + 1)

Step Two

Write out the expression

(1/3)(q + p) - (5/9)(3p + 1)          Remove the brackets

(1/3)q  + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms

(1/3)q  + (1/3 - 15/9 )p - 5/9       Reduce 15/9 down to 5/3

(1/3)q  + (1/3 - 5/3)p - 5/9         Combine what is inside the brackets

(1/3)q  + ( - 4/3)p - 5/9              Bring out the minus sign

(1/3)q  - (4/3) p - 5/9                 This should be your answer.