Lesson 1 5 Essential Question How do I

Lesson 1. 5 Essential Question: How do I get a variable all by itself in and equation To solve a formula for one of its variables To Rewrite an equation in function form Objectives: Vocabulary Literal Equations: Are equations and formulas involving several variables We have seen many literal equations this year Samples: D = RT Y = 3 X + 5 A = BH I = PRT V = LWH P = 2 L + 2 W

Solving for indicated variable means to isolate the indicated variable by using the correct steps. ex D = RT R R D =T R ex Solve for T Divide both sides by R A = LW Solve for L A = LW W W Divide by W A =L W Isolate the T Isolate the L

Vocabulary Function Form: A two variable function in which the output (range y) is isolated on one side of the equal sign. Ex: Y = 3 x + 5 Rewrite in function form. 1. Solve for Y 3 x + y = 7 – 3 x Y = 7 – 3 x Subtract 3 x from both sides or Y = – 3 x + 7

2. 2 y + 6 x = 10 – 6 x 2 y 2 = 10 – 6 x 2 2 y = 5 – 3 x 3. Subtract 6 x from both sides 3 x – y = 12 – 3 x Divide everything by 2 y = – 3 x + 5 or Subtract 3 x from both sides We need to solve y not –y So divide everything by -1 –y = 12 – 3 x – 1 – 1 y = – 12 + 3 x or y = 3 x – 12

EX: A = S 2 Solve for S The opposite of squaring a number is finding its square root. The exponent and square root cancel EX: P = 2 L + 2 W solve for L Subtract 2 W -2 W P – 2 W = 2 L 2 2 Divide both sides by 2