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Literal Equations: Solving and Rewriting

Learn how to identify, rewrite, and solve literal equations by isolating variables using inverse operations. Examples and practice included.

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Literal Equations: Solving and Rewriting

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  1. Lesson 7

  2. Literal Equations

  3. Objectives • I can identify literal equations. • I can rewrite and use literal equations

  4. Solve the equations Solve for the Variable • x – 3 = 7 • z – 4 = 16 • 8x – 5 = 3x + 20 What is inverse Operation??

  5. What is a literal equation? • Literal Equation – an equation with two or more variables. • You can "rewrite" a literal equation to isolate any one of the variables using inverse operations. This is called solving for a variable. • When you rewrite literal equations, you may have to divide by a variable or variable expression. In this lesson, assume that the variable or variable expression is not equal to zero. Division by zero is not defined.

  6. Examples of Literal Equations. • Circumference formula: 2∏r This is a literal Equations!!

  7. How to Solve…

  8. Example: Solving Literal Equations –y –y x = –y + 15 A. Solve x + y = 15 for x. x + y = 15 Locate x in the equation. Since y is added to x, subtract y from both sides to undo the addition. B. Solve pq = x for q. pq = x Locate q in the equation. Since q is multiplied by p, divide both sides by p to undo the multiplication.

  9. Lets try…. Solve 5 – b = 2t for t. 5 – b = 2t Locate t in the equation. Since t is multiplied by 2, divide both sides by 2 to undo the multiplication.

  10. Lets try again… Solve for V Locate V in the equation. Since m is divided by V, multiply both sides by V to undo the division. VD = m Since V is multiplied by D, divide both sides by D to undo the multiplication.

  11. Try on our own… • X + a = b Solve for x. • ax + b = c + d Solve for x

  12. Did you get?? • X = b – a How did you get this answer?? • X = (c+d-b) / a How did you get this answer??

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