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

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

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

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

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

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

A constant is a fixed value. Examples 3x – 5y + 12 12 12p – 4 + 13w + 9 4 and 9

Identify the number of terms, coefficients, variables, and constants 4w + 3f – 9p + 2c2 – 10 7h + 9k * 3d – 11m 12 - 14d ÷ 7j – 2z 5a3 + 129

End of day 1

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

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

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

Which statement demonstrates the distributive property incorrectly? 3(x + y + z) = 3x + 3y + 3z (a + b) c = ac + bc 5(2 + 3x) = 10 + 3x 6(3k - 4) = 18k - 24 Answer Now

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

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.

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

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

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

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

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

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

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

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