Lesson 2 Literal Equations Forms of Linear General

Lesson 2: Literal Equations

Forms of Linear General Form Factored Form Standard Form* Equations y = ax + b Example: y = 3 x + 9 y = a(x – c) Example: y = 3(x + 3) *A must be a positive integer Ax + By = C Example: 3 x – y = -9

Changing between forms of linear equations: (Goal: Ax + By = C) y = ¾ x 7 Write the equation y = ¾ x - 7 in property 4 y = 4(¾ x –standard 7) multiplicationform distributive property 4 y = 3 x – 28 addition property 28 + 4 y = 3 x subtraction property 28 = 3 x – 4 y Standard Form 3 x – 4 y = 28

Changing between forms of linear equations: (Goal: y = ax + b) 4 x + 2 y = 24 Write the equation 4 x + 2 y = 24 in subtraction property 2 y = -4 x + 24 general form division property - General form y = -2 x + 12 y = a(x - c) Now, change (Goal: that to factored Factored form y = -2(x – 6) distributive propertyform

Literal Equations: • variables represent specific measures • Seen most often when you study • d = rt formulas • Examples: • C = 2πr

Solving Literal Equations

Solving Literal Equations: Example (Goal: isolate “t”) Given the equation d = rt, solve for t d = rt Division property of equality

Solving Literal Equations: Another Example Solve for W: A = 2(L + W) Division property of equality Subtraction property of equality