1. Warm Up
A ___________________ is a letter used to represent an unknown.
Evaluate the expression 𝑟𝑡 if 𝑟=4 and 𝑡=7.
Solve the equation 3𝑥−24=6.
Solve the equation 4𝑥+14=2𝑥+20
Solve the equation 5𝑥+2=2𝑥−9

2. Lesson 29: Solving Literal Equations
Expressions and Equations

3. Literal Equations
Literal equation: an equation with more than one variable.
We use inverse operations to isolate the variable we want just like we do with equations that have a single variable.
The solution to a literal equation be in terms of other variables and numbers.

4. Example
Solve for 𝑦: 3𝑥+2𝑦=5−𝑦

5. Example
Solve for 𝑝: 4𝑝+2𝑎−5=6𝑎+𝑝

6. Example
The formula 𝐶= 5 9 (𝐹−32) expresses Celsius temperature in terms of Fahrenheit temperature. Find the formula for expressing Fahrenheit temperature in terms of Celsius temperature. Then find the Fahrenheit temperature when it is 20℃.

7. Example
The formula for the circumference of a circle is 𝐶=2𝜋𝑟. Find the formula for determining a radius given the circumference. Then find the radius when the circumference is 24 inches. Leave your answer in terms of 𝜋.

8. Example
The Ramirez family is taking a trip to the coast. They live 270 miles from the coast. They want to make the trip in 4.5 hours. Use the distance formula 𝑑=𝑟𝑡 to determine the average speed the family needs to drive by first solving for 𝑟.

9. Homework Questions

10. Correcting Homework Be kind. Hold questions until the end.
Write “C.B ____________” with your name.
If the paper in front of you has more than 3 empty squares, return it to its owner.

11. Homework
1st and 2nd hour: Lesson 29 #1-30
3rd hour: Lesson 29 #1-15