Tips for Taking the Quiz
Bring the number line back out as you work on the different operations affecting positive and negative integers. Beginning with addition, a positive integer is added when you move over to the right on the number line. Add: 1 + 3 = 4. Add a negative integer by moving in the opposite direction--to the left--on the number line. Add two negative integers: -5 + -2 = -7.
Add integers with different signs by keeping the sign of the number with the largest absolute value, and then subtract the smallest absolute value from the largest number: -8 + 2 = -6. Add a negative integer to a positive: 3 + -7 = -4. In this operation, you keep the sign from the integer with the largest absolute value, and then subtract the smallest absolute value from the largest. Keep the negative sign (-4). Subtract an integer by adding its opposite: 4 - 6 = -2. Subtract two negative integers: -5 - [-8] = 13. To subtract two negative integers, add their opposite.
Multiply two positive integers and get a positive result: 4 x 4 = 16. When you multiply a negative with a negative, your answer will be a positive: [-8] x [-7] = 56. When you multiply a positive times a negative, your answer will be a negative:  x [-6] = -54. Finally, when you multiply a negative times a positive, your answer will, again, be a negative: [-8] x  = -64. Take this a little further: If your equation has an odd number of negatives, the final answer is a negative; if your equation has an even number of negative signs, the answer must be a positive. [-3] x [-2] x [-5] = -30; [-3] x  x [-5] = 30.
Dividing positive and negative integers works in the same way as if you are multiplying. [-4] /  = -2.  / [-3] = -5. [-15] / [-5] = 3.