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

2. 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

3. 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 = =10 mph
𝑑=𝑟𝑡 move over r to solve for t
𝑡= 𝑑 𝑟 = 9 6 =1.5 hours

4. 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)

5. 1-4 Literal equations and formulas
Homework
18-23, 29, 31(a,b)

6. 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 or 𝐹= 9 5 𝐶+32
What must the American oven be set to if the recipe calls for 190 ˚C?
𝐹= =342+32=374 ˚𝐹

7. 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= −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)