1. Chapter 5 Unit Question How do we solve applications of equations in algebra?

2. Open Learning Logs Date on Left…Section 5 – 6 on right

3. Warm Up Students collected food for a food drive and displayed canned goods in a pyramid. The top three rows of the pyramid are shown to the right. How many cans are in the… 1.Fourth row? 2.Sixth row? 3.Tenth row?

4. Section 6 How do we write expressions and sentences to solve problems involving linear patterns with two variables?

5. Homework Check

6. Here are 3 designs… You create the fourth following the same pattern

7. Write the perimeter of each pattern by adding the number of horizontals to the number of verticals 242045 1644 1243 842 8441 PerimeterVerticalHorizontaln If we let: n = pattern number h = horizontal v = vertical What do we have to do to h and n to get v? h n = v If h + v = P, then substituting… h + (h n) = P What is h in every shape? Substitute! 4 + 4 n = P Or 4 + 4n = P

8. Based on our formula 4 + 4n = P What is the perimeter of the 18 th design? What design has the perimeter of 120? The 18 th design has a perimeter of 76 The 29 th design has a perimeter of 120

9. It costs $1.50 to park for the first hour and $0.60 for each additional hour… How much does it cost to park for… 1 hour? $1.50 2 hours? $1.50 + $0.60 $2.10 3 hours? $1.50 + (2)$0.60 $2.70 4 hours? $1.50 + (3)$0.60 $3.30 5 hours? $1.50 + (4)$0.60 $3.90 n hours? $1.50 + (n – 1)$0.60 Algebraically…

10. Alan opened a savings account with $45…he deposits $4 into the account each week. Write an equation to say how much he’ll save (T) in w weeks T = 45 + 4w After 12 weeks… How much will Alan have saved in his account? T = 45 + 4w T = 45 + 48 T = 45 + 4(12) T = $93 How long will it take him to save up $425? T = 45 + 4w 425 = 45 + 4w – 45 380 = 4w ¼ ¼ 95 = w Alan will have saved $93 in 12 weeks It will take Alan 95 weeks to save $425

11. Homework HoffmaSheet 5 – 6