We solved these problems in class. At least we got a collective solution. Now you need to make sure that YOU can solve these problems and answer questions about relationships among quantities in the situations. Your homework is to answer these questions again, giving the best explanations you can of your reasoning.

The following problems are designed to help you begin to think abstractly about relationships between numbers in the context of situations. In those questions where it talks about "everything working out", you should think that when you put numbers in the blanks, then what the statement says is true about the situation is in fact true when you put your numbers in the blanks.

Haley's iPod has 425 more songs than Adam's. Jason has 1890 songs on his iPod which is 132 more than Haley. How many songs does Adam have?

Haley and Jason together have 315 more songs that Adam. Haley has 1467 songs on her iPod. Jason has _______ songs and Adam has ________ songs.

Find 3 pairs of numbers that can go in the blanks so that everything works out. (Be sure you understand what it means that "everything works out"!)

What must be true about the number of songs that Jason has and the number of songs that Adam has so that everything works out?

Haley and Adam together had 3214 songs on their iPods. Jason and Kimberly together have 3744 songs on their iPods. Jason has 600 more songs than Adam. Haley has _________ songs and Kimberly has _________ songs.

Find 3 pairs of numbers that can go in the blanks so that everything works out. (Be sure you understand what it means that "everything works out"!)

What must be true about the number of songs that Kimberly has and the number of songs that Haley has so that everything works out?

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