To review some basic concepts for combining like terms.

How would you count these things?

Remember these? Do you have 18 spiders? Do you have 18 ants? Why not? What DO you have?

Can you combine: 1) Bunnies and Bunniesyes 2) Horses and Horsesyes 3) Spiders and Antsno 4) Bunnies and Horsesno 5) Spiders and Bunniesno 6) Apples and Orangesno 7) Bunnies and Glasses of Waterno Why or why not? You can only combine things that are alike

Variables represent a number group. X or Y means there are an unknown number of bunnies or horses or whatever. X

1) X + X 2) Y + Y 3) Y + X 4) X + Y if Y = 2X’s (What does this mean?) 5) 3X + 2X 6) 3X + 3Z yes no yes no

Addition is combining groups, but the groups must be the same type. You only add or subtract things that look/sound alike.

What will you have if you: 1) Take the difference between 4 dogs and 2 cats? 2) Take the difference between 5 bunnies and 2 horses? 3) Take the difference between 3 spiders and 2 cups of water? 4) What’s the difference between a duck? What conclusion can you make from the above?

Multiplying is simply repeated addition. We have the number in a group (size) repeated by the number of groups. If I have 5 bunnies and each bunny has 4 legs how many legs do I end up with? Which is my group and which is my number of groups?

Why can I multiply two things that are not the same, but I can only add things that are alike?

To review some basic concepts for combining like terms.

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