1. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine.

2. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

3. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

4. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 1 : Find your LIKE TERMS and if they are variables, ADD their exponents.

5. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables. EXAMPLE # 2 :

6. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables. EXAMPLE # 2 : +

7. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables. EXAMPLE # 2 : +

8. Binomials – Addition / Subtraction Binomial sum – the addition of two binomials. Similar to monomial sum except you now have two terms to add together. Once again, variables and their exponents MUST match to combine. EXAMPLE # 1 : Method # 2 : Set the problem up like a long addition problem, line up your variables / constants and then ADD your coefficients of your variables. EXAMPLE # 2 : +

9. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine.

10. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign.

11. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first…

12. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 :

13. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 : Change ( - ) to ( + ) The opposite of (+ 3x) is (– 3x) The opposite of ( +5 ) is (– 5 )

14. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 : EXAMPLE # 2 :

15. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 : EXAMPLE # 2 : Change ( - ) to ( + ) The opposite of (- 3a) is (+ 3a) The opposite of ( -5b ) is (+5b )

16. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 : EXAMPLE # 2 : EXAMPLE # 3 :

17. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. Let’s practice changing signs first… EXAMPLE # 1 : EXAMPLE # 2 : EXAMPLE # 3 : Change ( - ) to ( + ) The opposite of (-7x) is (+7x) The opposite of ( +9 ) is (– 9 )

18. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 :

19. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 : Make your change…

20. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 : Now treat the problem like an addition problem…

21. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 : EXAMPLE # 5 :

22. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 : EXAMPLE # 5 : Make your change…

23. Binomials – Addition / Subtraction Binomial difference – the subtraction of two binomials. Exactly like binomial sum except you now have two terms to subtract. Once again, variables and their exponents MUST match to combine. Method : Turn the problem into an addition problem. When a negative sign appears outside parentheses, it means “the opposite of”. So we will change the signs of the terms inside the 2 nd parentheses and change the subtraction to an addition sign. EXAMPLE # 4 : EXAMPLE # 5 : Now treat the problem like an addition problem…

24. Binomials – Addition / Subtraction Combination problems – sometimes you will have both operations in one problem. Make your change for the subtraction part, then add coefficients of variables and any constants to get your answer.

25. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE :

26. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE :

27. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE :

28. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE :

29. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE : EXAMPLE 2 :

30. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE : EXAMPLE 2 : Make your change…

31. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE : EXAMPLE 2 :

32. Binomials – Addition / Subtraction Combination problems – sometimes you will have multiple or both operations in one problem. If subtraction is one of the multiple operations, make your change(s), then add coefficients of variables and any constants to get your answer. EXAMPLE : EXAMPLE 2 :