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Solving Literal Equations: Step-by-Step Guide

Learn how to solve literal equations step-by-step by isolating the specified variable. Practice problems included.

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Solving Literal Equations: Step-by-Step Guide

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  1. ObjectiveThe student will be able to: solve literal equations (formulas) for a specified variable.

  2. Answer Now 1) Solve 2x - 4y = 7 for xTo get x by itself, what is the first step? • Add 2x • Subtract 2x • Add 4y • Subtract 4y

  3. Ask yourself, What is the first thing we are doing to x? What is the second thing? 1) Solve 2x - 4y = 7 for xUse a DO-UNDO chart to help determine the steps DO UNDO · 2 -4y Follow the steps in the ‘undo’ column to isolate the variable. +4y ÷ 2 Complete the undo column by writing the opposite operations in opposite order.

  4. D U 1) Solve 2x - 4y = 7 for x · 2 -4y +4y ÷ 2 + 4y + 4y 2x = 7 + 4y 2 2 • Add 4y to both sides • Simplify • Divide both sides by 2 • Does it simplify? This fraction cannot be simplified because both terms in the numerator are not divisible by 2.

  5. Answer Now 2) Solve 2x - 4y = 7 for yTo get y by itself, what is the first step? • Add 2x • Subtract 2x • Add 4y • Subtract 4y

  6. D U 2) Solve 2x - 4y = 7 for y · -4 +2x -2x ÷ -4 - 2x - 2x -4y = 7 - 2x -4 -4 • Subtract 2x from both sides • Simplify • Divide both sides by -4 • Does it simplify? Nope!

  7. Answer Now 3) Solve for y.What is the first step? • Multiply by 3 • Divide by 3 • Add a • Subtract a

  8. D U 3) Solve for y: + a ÷ 3 · 3 - a • Clear the fraction – multiply both sides by 3 • Simplify • Subtract a from both sides • Simplify y + a = 3c -a -a y = 3c - a

  9. Answer Now 4) Solve for y: 4x – 2y = 12 • -4x + 12 • 4x - 12 • -2x + 6 • 2x - 6

  10. D U 4) Solve for y: 4x – 2y = 12 · -2 + 4x - 4x ÷ -2 - 4x - 4x -2y = 12 – 4x -2 -2 y = -6 + 2x or y = 2x - 6 • Subtract 4x from both sides • Simplify • Divide both sides by -2 • Does it simplify? Yes!

  11. Answer Now 5) The formula for the volume of a rectangular prism is V = LWH. Which equation solves the formula for L? • L = V - WH

  12. Answer Now 6) The formula for the volume of a pyramid is V = . Which equation solves the formula for h? • h = 3Vb

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