Question

Ann makes (4x+3) an hour and she worked (2x-1) hours this week. Write an expression that represents the amount of money Ann earned this week.

Answer 1

Amount of money Ann earned this week = Amount of money earned in 1hour × Number of Hours she worked

Amount of money Ann earned this week = (4x + 3) × (2x - 1)
= (4x + 3) (2x - 1)
{Draw lines like rainbows to let yourself know which numbers to multiply by}
= (4x × 2x) + [4x × (-1)] + (3 × 2x) + [3 × (-1)]
{Always remember to put in the negative signs if the number if negative}
= 6x^2 + (-4x) + 6x + (-3)
= 6x^2 - 4x + 6x - 3
{Simplify}
= 6x^2 + 2x - 3