Question

If A = y– 4 and B = y + 1, find an expression that equals 3A + 2B in
standard form.

Answer 1

5y -10

Explanation:

We can find the value of the desired expression by using substitution for the variables A and B.

3A +2B

= 3(y -4) +2(y +1) . . . . . . using y-4 for A, and y+1 for B

= 3y -12 +2y +2 . . . . . . eliminate parentheses with the distributive property

= (3 +2)y +(-12 +2) . . . . group like terms

= 5y -10

An expression that equals 3A +2B is 5y -10.

_____

Additional comment

The "standard form" of a polynomial expression has the highest-degree term listed first, and others in decreasing order of degree.