Question

Jayden has 4x² red pens and 3x orange

pens.
He has twice as many black pens as red
pens.
He also has 5 fewer purple pens than
orange pens.
Write an expression in terms of x for the
total number of red, orange, black and
purple pens that Jayden has.
Give your answer in its simplest form.

Answer 1

It gave the number of red pencils and orange pencils. Let's add them up.

• 
  `4x^2+3x=R+O`

He has twice as many black pens as red pens.

• 
  `B=2R`
• 
  `B=2(4x^2)=8x^2`

He has five less pink pencils than he has orange pencils.

• 
  `P=O-5`
• 
  `P=3x-5`

Let's add up all the values we found.

• 
  `R+B+O+P=4x^2+8x^2+3x+3x-5`
• 
  `=12x^2+6x-5`

In its simplest form:

• 
  `x^2+(1)/(2)x-(5)/(12)`