1. Objective - To subtract integers. To subtract an integer is to add its opposite. a - b =a + -b 7 - 10 =7 + -10 8 - (-5) =8 + 5 = 6 + -2= 4 Rewrite the subtraction by adding the opposite. Simplify. 1) 6 - 2 2) -4 - (-10) = -4 + (10)= 6

2. 1 = +1 + +1 = +1 + -1+ -1 = -1 + + + -1 = -1 - -1 = +1 - - - 1 = -1 - - - -1 = +1 - - - - -1 = -1 + - + 1 = -1 + + - -1 = +1 Odd # of Negatives = Negative Even # of Negatives = Positive Multiple Signed Numbers

3. Simplify the following. 1) -8 - -5 = 2) 14 - -7 = 3) -6 - 5 = 4) -4 - -11 = 5) -7 + -2 = 6) 3 - -7 = 7) -6 - -14 = 8) -7 - -7 = 9) 9 - 6 - -7 = 10) -4 - -9 - 3 = 11) -13 + -2 - -1 = 12) 6 - -3 - 5 = -3 21 -11 7 -9 10 8 0 2 -14 4

4. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 - 4 = +2+2 +2+2 Subtracting Integers on a Number Line

5. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 - 4 = +9+9 +2+26 - (-3) = +9+9 Subtracting Integers on a Number Line

6. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 - 4 = +3+3 +2+26 - (-3) = +9+9 -1 - (-4) = +3+3 Subtracting Integers on a Number Line

7. Combine the following integers. 1) -3 - - 10 = 2) +6 - - 9 = 3) -4 + -7 = 4) +6 - 8 = 5) -3 - - 12 = 6) -7 - 12 = 7) +5 - -18 = 8) -14 - - 6 = 9) +7 - - 5 = 10) -7 + -8 = 11) -6 - - 4 = 12) -5 + 16 = 13) -17 - - 12 = 14) +13 - - 4 = +7+7 +15 -11 -2-2 +9+9 -19 +23 -8-8 +12 -15 -2 +11 -5 +17

8. Evaluate the expression when x = -3 1) 2) 3) 4) 5) 6)

9. Decide whether the statement is true always, sometimes, or never. 1) 2) 3) 4) Always Never Always Sometimes

10. Combine the following rational numbers.