Grade 12 Integer Rules Worksheet

Grade 12 Integer Rules Review

Read each question carefully and answer to the best of your ability. Show all work for problems requiring calculations.

1. Which of the following expressions is equivalent to (-3) * (-5) + (-2) * 4?

2. If x = -6 and y = 3, what is the value of (x - y)^2?

1. The product of two negative integers is always a   integer.

2. When subtracting a negative integer, it is equivalent to   the positive counterpart.

3. The absolute value of an integer is its distance from   on the number line.

1. The sum of any integer and its opposite is always zero.

2. Dividing a positive integer by a negative integer always results in a positive integer.

1. Evaluate the expression: -15 + (-7) - (-12) + 4.

2. Simplify the expression: 3(x - 5) - 2(x + 7), where x is an integer.

3. On the number line below, plot the integers -4, 0, and 3. Then, indicate the distance between -4 and 3.

1. A submarine is at a depth of -250 meters. It ascends 80 meters, then descends 120 meters. What is the final depth of the submarine? Write an equation to represent the situation and solve.