1. Last week Patrice made (15d + 400) dollars. This

week she made (10d. So) dollars. Write an expression

that represents how much money she made

altogether over the last two weeks.

Answer: 25 d + 400

Step-by-step explanation:

Given, Last week Patrice made (15d + 400) dollars.

And this week she made (10 d) dollars.

Now, we need to find the expression that represents how much money she made altogether over the last two weeks, which is equal to

(Money made in last week) + (Money made in this week)

= (15d + 400) + (10 d)

= 15 d + 400 + 10 d [ Opening Parenthesis]

= 15d + 10d + 400 [ Commutative property]

= 25 d + 400

i. e. The required expression = 25 d + 400

Commutative property of addition : a+b=b+a, where a, b are any expression.