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Mastering Literal Equations: Solve Formulas Confidently

Enhance your skills in solving literal equations (formulas) to isolate specified variables confidently. Practice solving equations step by step with clear explanations and examples. Designed for students aiming to excel in algebraic problem-solving. Boost your equation-solving abilities today and achieve academic success.

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Mastering Literal Equations: Solve Formulas Confidently

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  1. ObjectiveThe student will be able to: solve literal equations (formulas) for a specified variable. SOL: A.4a Designed by Skip Tyler, Varina High School

  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 • Draw “the river” • 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 • Draw “the river” • 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 • Draw “the river” • 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 • Draw “the river” • 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

  13. Rewriting a Common Formula(pg. 28 in book and in agenda) Distance Simple Interest Temperature Area of Triangle Area of Rectangle Perimeter of Rectangle Area of Trapezoid Area of Circle Circumference of Circle

  14. Rewriting a Common Formula • The formula for the perimeter of a rectangle is • Solve for w.

  15. Rewriting a Common Formula • Area of a trapezoid • Solve for h

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