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

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

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?

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

Homework Check

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

Write the perimeter of each pattern by adding the number of horizontals to the number of verticals 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! n = P Or 4 + 4n = P

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

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? $ hours? $ $0.60 $ hours? $ (2)$0.60 $ hours? $ (3)$0.60 $ hours? $ (4)$0.60 $3.90 n hours? $ (n – 1)$0.60 Algebraically…

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 = w After 12 weeks… How much will Alan have saved in his account? T = w T = T = (12) T = $93 How long will it take him to save up $425? T = w 425 = w – = 4w ¼ ¼ 95 = w Alan will have saved $93 in 12 weeks It will take Alan 95 weeks to save $425

Homework HoffmaSheet 5 – 6