1-4 Literal equations and formulas Homework 5-8, 14-17, 26, 27

In this Chapter I can… 1-1: Identify elements and subsets of sets, add and multiply rational numbers 1-2: Create and solve linear equations with one variable on one side 1-3: Solve linear equations with one variable on both sides 1-4: Rearrange literal equations that have multiple variables

Warm up If Mr. Trimble lightly jogs 12 mph for 15 minutes, how far has he gone? If Mr. Trimble has leisurely walked 4 miles in 24 minutes, how fast was he going? If Mr. Trimble took a stroll at 6 mph and went 9 miles, how long was his stroll? 𝑑=𝑟𝑡=12∙0.25=3 miles 𝑑=𝑟𝑡 move over t to solve for r 𝑟= 𝑑 𝑡 = 4 0.4 =10 mph 𝑑=𝑟𝑡 move over r to solve for t 𝑡= 𝑑 𝑟 = 9 6 =1.5 hours

Vocabulary Formula: an equation that states a relationship between one quantity and one or more other quantities. d=rt Literal Equation: when letters represent variables (things we know) and constants (things we don’t know)

1-4 Literal equations and formulas Homework 18-23, 29, 31(a,b)

Example Mr. Trimble is baking a delicious cake. However, he got the cookbook from his trip in Canada where the ovens are in Celsius. Rearrange the formula to solve for Fahrenheit. 𝐶= 5 9 𝐹−32 𝐹= 9𝐶+160 5 or 𝐹= 9 5 𝐶+32 What must the American oven be set to if the recipe calls for 190 ˚C? 𝐹= 9 5 190 +32=342+32=374 ˚𝐹

Example Mr. Trimble is framing his old little league jersey in a rectangular frame. Create a literal equation for the perimeter of the frame. P = Perimeter l = Length w = Width 𝑃=𝑙+𝑤+𝑙+𝑤=2𝑙+2𝑤 Rewrite your literal equation to solve for the width. 𝑃=2𝑙+2𝑤 𝑤= 𝑃−2𝑙 2 = 𝑃 2 −𝑙 𝑤= 144 2 −40=32 𝑖𝑛 If the perimeter of the frame is 144 in, and the length is 40 in, what is the width of the frame? (Use your literal equation)