Do Now:

Unit 3.5 SWBAT: Combine like terms Use the distributive property

Agenda Do now Homework Pass-in Agenda Notes Reward! Practice Reward! Exit Ticket Clean-up

Reward you say?! Yes, a reward! Vote for your top 2 choices, and if you are on task (as a class), have 100% participation, we can earn these great rewards as a brain break! Listen to music as you work Watch a funny YouTube video 5 minute chat break Play a math game as your independent practice 3 rounds of “heads up 7up”

Remember past vocab: Term Term: a number, variable, or the product (multiplication) of a number and a variable y + 2 – 7 TERMS are separated by operation symbols

New Vocabulary: Like Terms Terms that have exactly the same variable factors (Exactly the same variables multiplied by a number) Like Terms: Not Like Terms: -5 and 8-5x and 8 2x and -3x2x 2 and -3x 2xy and -3xy2x and -3xy

Identify the like terms Which ones are like terms with 4xy? 1) -5xy2) 3x 3) (3/5)xy4) xy 2 5) 526) 809xyz

Identify the like terms Which ones are like terms with 4xy? 1) -5xy2) 3x THIS ONE 3) (3/5)xy4) xy 2 THIS ONE 5) 526) 809xyz

Quick Answer! First table team to have everyone raise their hands gets a sticker! Which letter(s) are similar terms with 16xy? A) 14x B) 5y C) 16xy 2 D) 4xy

Quick Answer! First table team to have everyone raise their hands gets a sticker! Which letter(s) are similar terms with 16xy? A) 14x B) 5y C) 16xy 2 D) 4xy

Like terms can be simplified Simplifying happens only on ONE SIDE of an equation or expression. Only like terms can be simplified.

Side Note: Variables w/out numbers Remember: variables without numbers in front of them are the same as a variable being multiplied by 1. X = 1x -Y = -1Y

Combining like terms Combining like terms: On the SAME side of an equation you will add/subtract them together, based on what their signs say. You’re just re-organizing. Ex. 5y + 4y – 2y = 2 (5 + 4 – 2)y = 2 7y = 2

Combining like terms: Example 1 Combine like terms in 5m + 9m + m = ( )m = 15m

Combining like terms: Example 2 Simplify 6p + 4y + 8 – 4p + 3 (6 – 4)p + 4y + (8 + 3) 2p + 4y + 11

You Try Simplify 6x + 7y + 3x

You Try: ANSWERS = 6x + 7y + 3x = (6 + 3)x + 7y = 9x + 7y

Now Try: 1) 7x + 5y + 6y + 3 2) 4x + 10p – ) 8y – 3p ) 7y – 3p + 17x – 1 5) 28p – 12p + 11 – 15 6) 3p + 12r + 6p - 10

Now Try: 1) 7x + 5y + 6y + 3 7x + 11y + 3 2) 4x + 10p – x + 10p - 9 3) 8y – 3p + 12 – 1 8y – 3p ) 7y – 3p + 17x – 1 7y – 3p + 17x - 1 5) 28p – 12p + 11 – 15 16p - 4 6) 3p + 12r + 6p – 10 9p + 12r - 10

Word Problems!!!! YAAAAAYYYYYYY!!!!! Robert buys 5 loaves of bread and 8 cans of tuna for a picnic. Melissa buys a loaf of bread and 2 cans of tuna. Define and use variables to represent the total cost. B = cost of a loaf of bread T = cost of a can of tuna Robert: 5b + 8t Melissa: 2t + 1b 5b + 8t + 2t + 1b = 6b + 10t

You try: In one trip to a hardware store, you buy 16 boards, 2 boxes of nails, and a hammer. On a second trip, you buy 10 more boards and a box of nails. Define and use variables to represent the total cost.

You try: In one trip to a hardware store, you buy 16 boards, 2 boxes of nails, and a hammer. On a second trip, you buy 10 more boards and a box of nails. Define and use variables to represent the total cost. b = cost of board n = cost of nails h = cost of a hammer 16b + 2n + h + 10b + n =26b + 3n + h

Now Try: Write the expression for the following situations 1) Alexis buys a beach house, 2 dogs and a pet cat one day, and a second beach house, 4 more dogs, and another pet cat the next day. 2) Tyreek runs for 12 miles, then hikes for 19 upwards, continues to run 4 miles, then hikes upwards 6 miles. 3) Bryena eats 14 candy bars, then 3 bags of chips, then another 8 candy bars before eating a whole cake. 4) Cye-Enn colors for 8 minutes, then dances for 15 minutes, colors for another 12 minutes, then eats for 12.

Now Try: Write the expression for the following situations 1) 2b + 6d + 2c 2) 16r + 25h 3) 22b + 3h + c (where b = candy bars, h=chips, c = cake) 4) 20c + 15d + 12e

Distributive Property Distributive property: a (b + c) = ab + ac You’re multiplying the number outside the parenthesis by both of the numbers inside the parenthesis, but keeping the same sign. Ex) 5 (4t – 3) = 5(4t) – 5(3) = 20t - 15

Distributive property slow-mo Simplify: 3 ( x - 2 ) 3x - 3(2) 3x - 6

Distributive Property Simplifying: Example Simplify 5(t + 3) + 8t 5t t (5 + 8)t t + 15

You Try Simplify 6t – (t – 2)

You Try: ANSWERS Simplify 6t – (t – 2) 6t – t – 6 (6 + 3)t + (-14 – 6) 9t + -20

Now Try 1) 8c – 3(c + 5) 2) 8d + 6(4 – d) 3) 4x – (d + 2) 4) 3x – (4-x) 5) 2x + 2(-3x – 11) 6) -5(c + 3) - 13

Now Try 1) 8c – 3(c + 5) 5c ) 8d + 6(4 – d) 2d ) 4x – (d + 2) 4x + 5d - 2 4) 3x – (4 - x) 15x ) 2x + 2(-3x – 11) -4x ) -5(c + 3) – 13 -5c -28