1. Do Now
Write down any math properties you know and give an example. (ex. Commutative)
Write down any similarities or differences between expressions and equations

2. Objective The student will be able to:
Identify parts of an algebraic expression

3. A term is a 1) number, 2) variable, or
3) a product / quotient of numbers and variables.
Example 5 m
2x2

4. A term is a
*** Terms are separated by either an addition sign (+) or subtraction sign (-).
4x + 5y
(2 terms)
3r * 5p
(1 term)

5. the numerical part of the term.
The coefficient is
the numerical part of the term.
Examples
1) 4a 4
2) y2 1 3)

6. A variable is alphabetic
character representing a number .
Examples
1) 4a a
2) y2 y x 3)

7. A constant is a fixed value. Examples 3x – 5y + 12 12
12p – w and 9

8. Identify the number of terms, coefficients, variables, and constants
4w + 3f – 9p + 2c2 – 10
7h + 9k * 3d – 11m
d ÷ 7j – 2z 5a

9. End of day 1

10. Objective The student will be able to:
Review parts of an algebraic expression
Understand and use the distributive property

11. The Distributive Property
The process of distributing the number on the outside of the parentheses to each term on the inside.
a(b + c) = ab + ac and (b + c) a = ba + ca
a(b - c) = ab - ac and (b - c) a = ba - ca
Example #1
5(x + 7)
5 • x + 5 • 7
5x + 35

12. Example #2
3(m - 4)
3 • m - 3 • 4
3m - 12
Example #3
2(y + 3)
2 • y + 2 • 3
2y + 6

13. Which statement demonstrates the distributive property incorrectly?
3(x + y + z) = 3x + 3y + 3z
(a + b) c = ac + bc
5(2 + 3x) = x
6(3k - 4) = 18k - 24
Answer Now

14. Like Terms are terms with the same variable AND exponent.
To simplify expressions with like terms, simply combine the like terms.

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

16. Which of the following is the simplified form of 7x – 4x ?-4 3x
-3x 4
Answer Now

17. 5a and a are like terms
and
are like terms
The above expression simplifies to:

18. Simplify 1) 5a + 7a 12a 2) 6.1y - 3.2y 2.9y 3) 4x2y + x2y 5x2y
4) 3m2n + 10mn2 + 7m2n - 4mn2
10m2n + 6mn2

19. 5) 13a + 8a + 6b
21a + 6b
6) 4d + 6a2 - d + 12a2
18a2 + 3d 7) y

20. Which of the following is the simplified form of 5x + 4 + 7x + 14 ?
Answer Now

21. If a triangle has sides 3x - 2, 5 - x and 2x - 5, what is the perimeter of the triangle?
Answer Now

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

23. Bonus! Which of the following is the simplified form of a + 3a + 4(9 + a) ?
-36
3a - 36
8a - 36
8a + 36
Answer Now