1. SWBAT… simplify algebraic expressions
Tues, 9/13
Agenda
Warm-up (10 min)
Review hw#1 (15 min)
Combining like terms / practice (15 min)
OYO (On Your Own) practice problems (5 min)
Warm-Up:
HW#2: Simplifying algebraic expressions 1

2. Infinity HS Ms. Sophia Papaefthimiou
Algebraic Expressions Objective: To combine like terms to simplify expressions
Infinity HS
Ms. Sophia Papaefthimiou

3. Like Terms are terms with the same variable AND the same exponent.
To simplify expressions with like terms, simply combine the like terms.
Example #1:
Simplify: 5x – 4x2 – 7x + 14x2
Answer: 10x2 – 2x

4. Are these like terms? 1) 13k, 22k 2) 5ab, 4ba
Yes, the variables are the same.
2) 5ab, 4ba
Yes, the order of the variables doesn’t matter.
(Commandment #9)
3) x3y, xy3
No, the exponents are on different variables.

5. WARNING!!!!
You calculate the answer using the sign that is to the left of the number or variable.

6. Warm-Up: Simplify each expression
1) 5a2 + 7a
Simplified
2) -4x2y + x2y – x2y + x2
-4x2y + x2
3) 3m2n + 10mn2 – 7m2n – 4mn2 + 9m
-4m2n + 6mn2 + 9m
4) a + 3a – 4(9 – a)
8a – 36
5) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
4x – 2

7. 1.) Which of the following is the simplified form of -4x + 7x ?
Don’t forget the negative!

8. 2.) Which of the following is the simplified form of 5x – 4 – 7x + 14 ?

9. 3.) -4d – 6a2 +2d – 12a2
-18a2 – 2d
4.)
5.) y

10. OYO (On Your Own) Problems
5(z – 3) + 4z
4(y2 + 8y – 2) – y2 + y
5(3x – 7) – 6x
7(4x2 + 3x) + 2(5x2 + x)
8x + 2[5 – (x – 3)]
Step 1: Distribute the -1 first (inside the brackets)
Step 2: Combine the like terms inside the brackets
Step 3: Distribute the 2
1. 5z – z = 9z – 15 (combine like terms!)
4y2 + 32y – 8 – y2 + y = 3y2 + 33y – 8 (combine like terms!)
9x – 35 10

11. SWBAT… simplify algebraic expressions
Wed, 9/14
Agenda
WU (15 min)
Review HW#2 (20 min)
Warm-Up: If simplified, write “simplified”
1) 5a2 + 7a
2) -4x2y + x2y – x2y + x2
3) a + 3a – 4(9 – a)
4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle? 11

12. Warm-Up: Simplify each expression
1) 5a2 + 7a
Simplified
2) -4x2y + x2y – x2y + x2
-4x2y + x2
3) a + 3a – 4(9 – a)
8a – 36
4) If a triangle has sides 3x – 2, 5 – x and 2x – 5, what is the perimeter of the triangle?
4x – 2

13. Which figure below models the simplification of -4x – 5 + 7x + 7 using these tiles?
Answer Now

14. Let’s review the back of the agenda before we begin the quiz.