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1. Twice a number increased by 12 is equal to 3 times the number minus 31. Find the number.
2. Twelve decreased by twice a number is -7. What is the number?
3. Three consecutive intergers have a sum of -33. What are the intergers?
4. The sum of 4 times a number and 14 is 16. What is the number?
5. The sum of 3 times a number and 17 is 5. What is the number?



Answer :

Winkdude
Here, I'll do the first one for you.
When they are talking about a number, use "x".
Since it says twice a number, you say 2x. Or 3x for three times the number
2x+12=3x-31
Then use algebra to find x. Get the numbers on one side and all the x's on the other.
2x+12+31=3x-31+31
2x+43-2x=3x-2x
x=43

Now do the rest on your own!

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