Please check your answers. Click on the pictures to enlarge (answers are boxed). See the comments if your answer was incorrect and you're not sure where you went wrong. Be sure to come prepared to class tomorrow with any questions you have. See you then!
Questions 1-4 were pretty straight forward. Change addition to adding the opposite, distribute (if necessary), and combine like terms. Sometimes it helps to put negative numbers in parentheses so as not to confuse the signs with adding, subtracting, negatives, etc.
Number 5 was a big more complex. After changing subtraction to adding negatives, we distributed both the 3 and the negative 4 to their respective parentheses. Then we used integer rules to combine like terms. Negative 12 and positive 12 cancel each other out.
Number 6 could have been done two ways. The first way would include all the steps we see above. The second would entail looking at the problem and saying, "If I've got six times g minus h, and I'm taking away six times g minus h, I'll be left with zero."
For 7 - 9, don't forget that there's always an imaginary 1 next to any variable that's by itself. Changing a variable to its negative would mean that invisible 1 turns into a negative 1.
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