1. Formulas & Functions Formula – an algebraic expression that relates two or more real-life quantities

2. Solving a Temperature Conversion Formula Solve the temperature formula C= (F - 32) for F Solution C= (F - 32) Write the original Formula C= (F - 32)Multiply each side by 9/5 C= F - 32Simplify C + 32 = F - 32 + 32Add 32 to each side C + 32 = FSimplify

3. Rewriting Equations in Function Form The isolated variable is the output and is a function of the input Example P = 4s This formula describes the perimeter P of a square as a function of it’s side length s

4. Rewriting an equation in function form Rewrite the equation y + 3 = -5x so that y is a function of x. y + 3 – 3 = -5x – 3 Subtract 3 from both sides y = -5x – 3 Simplify 4 y = (-5x – 3) 4 Multiply both sides by 4 y = -20x – 12 Simplify

5. Rewrite the equation 2y + 5 = -4x + 7 so that y is a function of x. Then use the result to find y when x = 1, 2, 0, -2 2y + 5 = -4x + 7Rewrite the equation -5 -5Subtract 5 from both sides 2y = (-4x + 2)Simplify /2 /2Divide both sides by 2 y = -2x + 1Simplify x y = -2x + 1 y 1 y = -2(1) + 1 2 y = -2(2 ) + 1 -3 0 y = -2(0) +1 1 -2 y = -2(-2 ) +1 5