Algebraic expression

Question

Tim has x books. Karen has 4 more books than Tim has. Allen has double as many books as Karen has. write an algebraic expression using x, for the total of number of books that Tim, Karen and Allen have altogether

Answer 1

This is a summation expression, thus we have to find the number of books everyone has in terms of x and add them all up. Let's begin.

Tim= (x) books

Karen = Tim +4 = (x+4)

Allen= 4(x+4) = (4x + 16)

Add them together and you have (x)+ (x+4) + (4x +16)

Place all your like terms together and add: 1x + 1x + 4x + 4 + 16 = 6x + 20