1. 2.8: Literal Equations and Dimensional Analysis Algebra 1: September 15, 2014

2. Given the formula for the area of a triangle, A = ½ bh, describe how you would solve for b. Solve for b means to isolate the variable (get it by itself) 1.Move the ½ to the other side by multiplying by 2 2A = bh

3. Isolating a variable in an equation 1. Determine which variable you are isolating 2. Determine which operations are being performed to the variable you are isolating 3. Perform each inverse operation to solve Sometimes when there are multiple variables in an equation, it can become confusing for people. But our method to isolate a variable does not change.

4. Use your partner to help in isolating the given variable 1.V = lwh is the volume of a box. Solve for h 2.C = 2πr is the circumference of a circle. Solve for r 3.I=Prt is the way to evaluate simple interest. Solve for r

5. Solving Multi-Variable Equations Given the equation 5y – 15x = 35. Solve for y 1.Move the – 15x over by adding it to each side5y – 15x = 35 + 15 x = +15x 5y = 35 + 15x 2. Divide each part by 55y ÷5 = 35÷5 + 15x÷5 y = 7 + 3x

6. You try a few

7. Application The regular octagon is divided into 8 congruent triangles. Each triangle has an area of 21.7 square centimeters. The perimeter of the octagon is 48 centimeters. a. What is the length of each side of the octagon? b. Solve the area of a triangle formula for h. c. What is the height of each triangle? Round to the nearest tenth.