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3.6 Using Formulas and Literal Equations

3.6 Using Formulas and Literal Equations. Objectives: Solve literal equations for specific variable. Use formulas to solve problems. Standard Addressed: 2.8.11D: Formulate equations to model routine and non-routine problems. . An equation that involves 2 or more variables is

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3.6 Using Formulas and Literal Equations

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  1. 3.6 Using Formulas and Literal Equations Objectives: Solve literal equations for specific variable. Use formulas to solve problems. Standard Addressed: 2.8.11D: Formulate equations to model routine and non-routine problems.

  2. An equation that involves 2 or more variables is called a literal equation. A formula is a literal equation that states a rule for a relationship among quantities.

  3. Ex. 1

  4. Solving for a Variable • With some literal equations and formulas you will need to solve the equation for one variable in terms of the other variables.

  5. Ex. 2

  6. Ex. 3

  7. Ex. 4 Solve each equation for the indicated variable. • A. y = mx + b, for b y – mx = b • B. 3x + 4y = 12, for y 4 y = 12 – 3x y = 3 – 3/4x • C. d = k + s, for s d – k = s • D. p = 6x + 2z, for z p – 6x = 2z p/2 – 3x = z

  8. Ex. 5 a. Josephine has 396 linear feet of chicken wire and is putting a fence up on her small farm to fencein her chicken. She wants the length of the pen to be twice the width. Find the dimensions of the pen. • 396 = 2w + 2w + w + w • 396 = 6w • 66 = w • L = 132

  9. B. Joy has 480 feet of chicken wire and is building a pen. She wants the length of the pen to be 3 times the width. Find the dimensions of the pen. • 480 = 3w + 3w + w + w • 480 = 8w • W = 6 • L = 180

  10. Ex. 6

  11. Ex. 7

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