1.04 Solving Literal Equations

1. Solve S = 4v2 for v.(1 point)

Get rid of 4 by dividing both sides by 4 s/4 = v^2
+/- square root of (s)/2=v

2. Solve M = 2x + 3y for y. (1 point)

3y= m - 2x y= (m - 2x)/3 y = (m - 2x)/3

3. Solve t = p+r/ 6 for r. (1 point)

t = p + 3r / 6 t - p = 3r / 6
Divide both sides by 6
6t - 6p = 3r
Divide by 4
2t - 2p = r

4. Solve V = π r2h for h. (1 point)

V/(πr2) = πr2h
V/(πr2) = h

5. Solve P = 2(l + w) for l. What are the missing values in the table? (1 point)

P w l
14 2 5
22 8 3
6. Create your own unique literal equation and solve for one of the variables. Show your work. Then, using complete sentences, explain how you solved for the variable you chose. (2 points)
A =(10b+ 5c) a- (10b)= 5c b- 10b/5= c
To solve, subtract 10b from both sides and divide by 5.

7. Using complete sentences, explain how solving a literal equation is similar to or different from simplifying an expression such as 6 - 2(52 + 7) ÷ 4. (2 points)
Solving a literal equation is similar to simplifying an expression because you have to use an order of operations (like pemdas or sadmep) to solve both.

8. Using complete sentences, explain what might happen if the order of operations was used to solve a literal equation. (1 point)
You need to use the order of operations, PEMDAS, backwards in order to solve a literal equation. If you use the order of operations you will not get the correct answer.