Question

Translate each verbal description into an algebraic expression. Then simplify

Five-ninths of (3p+1) subtracted from one-thirf of q+p

Answer 1

(1/3)q - (4/3) p - 5/9

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.