Linear Equations- Functions -Inequalities November 27 Monday

Monday November 27 Warm- up Solve these equations and turn them into the folder. 1. 5𝑛 −16 −8𝑛=−10 2. −𝑞 −11=2𝑞+4 3. 3𝑥+7 =14+3𝑥 4. Solve for m 2𝑚=−6𝑛 −5 5. 3 𝑥+7 = 4 𝑥+4

Arithmetic sequences –common difference (add/subtract) recursive formula - 𝑎 𝑛 = 𝑎 𝑛−1 + d ; 𝑎 1 =____ read “a sub n” explicit formula - 𝑎 𝑛 = 𝑎 1 + (n-1) d 𝒂 𝒏−𝟏 - the previous term 𝒂 𝒏 - the answer n – the number of the term you are looking for 𝒂 𝟏 - the 1st term d - the common difference (must be the same between each term) Use the explicit formula more often because in order to use the recursive formula you MUST know the term before.

Example for arithmetic sequences: describe the pattern- identify 𝑎 1 and d if the pattern is an arithmetic sequence. 6,13,20,27….. 4.5, 9, 18, 36… 13, 11, 9, 7… .2, 1.5, 2.8, 4.1…. Write a recursive formula for the arithmetic sequences. Write an explicit formula for the arithmetic sequences.

Example for arithmetic sequences: write an explicit formula given each recursive formula 𝑎 𝑛 = 𝑎 𝑛−1 +12 𝑎 1 = 10 𝑎 𝑛 = 𝑎 𝑛−1 +3.4 𝑎 1 = 7.3 Write a recursive formula given each explicit formula 𝑎 𝑛 =5+ 𝑛−1 (3) 𝑎 𝑛 = 3+ (𝑛−1)(−5)

Tuesday 28 November Warm – up Solve the equations and turn them in – 1 Tuesday 28 November Warm – up Solve the equations and turn them in – 1. 2x + 3y = 5 Solve for y 2. 4𝑑+1 𝑑+9 = −3 −2 3. 14 + 3n = 8n – 3(n-4) 4. -2(j-3) = -2j + 6 5. x – 1 + 5x = 23

Review of sequences – put this paper in your notes from yesterday ( 11/27) Word Problems – Classwork- Finish at home if necessary SHOW ALL OF YOUR THINKING HOMEWORK is in GOOGLE CLASSROOM and on the website

Wednesday 29 November Warm- up 1. 4x + 2y = 6 2. 𝑥−3 3 = 𝑥+4 4 3 Wednesday 29 November Warm- up 1. 4x + 2y = 6 2. 𝑥−3 3 = 𝑥+4 4 3. -8x – (3x + 6) = 4 – x 4. –(3z + 4) = 6z -3(3z + 2) 5. 1 2 x + 6 = 3 -2x

LG - Find rate of change the rate of change is the change in y values change in x values rise run slope (m) = 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1

Examples on your paper