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Linear Equations- Functions -Inequalities

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1 Linear Equations- Functions -Inequalities
November 27 Monday

2 Monday November 27 Warm- up Solve these equations and turn them into the folder 𝑛 βˆ’16 βˆ’8𝑛=βˆ’ βˆ’π‘ž βˆ’11=2π‘ž π‘₯+7 =14+3π‘₯ 4. Solve for m 2π‘š=βˆ’6𝑛 βˆ’ π‘₯+7 = 4 π‘₯+4

3 Arithmetic sequences –common difference (add/subtract) recursive formula - π‘Ž 𝑛 = π‘Ž π‘›βˆ’1 + d ; π‘Ž 1 =____ read β€œa sub n” explicit formula - π‘Ž 𝑛 = π‘Ž 1 + (n-1) d 𝒂 π’βˆ’πŸ - 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.

4 Example for arithmetic sequences: describe the pattern- identify π‘Ž 1 and d if the pattern is an arithmetic sequence. 6,13,20,27… , 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.

5 Example for arithmetic sequences: write an explicit formula given each recursive formula π‘Ž 𝑛 = π‘Ž π‘›βˆ’ π‘Ž 1 = 10 π‘Ž 𝑛 = π‘Ž π‘›βˆ’ π‘Ž 1 = Write a recursive formula given each explicit formula π‘Ž 𝑛 =5+ π‘›βˆ’1 (3) π‘Ž 𝑛 = 3+ (π‘›βˆ’1)(βˆ’5)

6 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 – x + 3y = 5 Solve for y 𝑑+1 𝑑+9 = βˆ’3 βˆ’ n = 8n – 3(n-4) (j-3) = -2j x – 1 + 5x = 23

7 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

8 Wednesday 29 November Warm- up 1. 4x + 2y = 6 2. π‘₯βˆ’3 3 = π‘₯+4 4 3
Wednesday 29 November Warm- up x + 2y = π‘₯βˆ’3 3 = π‘₯ x – (3x + 6) = 4 – x 4. –(3z + 4) = 6z -3(3z + 2) x + 6 = 3 -2x

9 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 βˆ’ 𝑦 1 π‘₯ 2 βˆ’ π‘₯ 1

10 Examples on your paper


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