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Rewrite Equations and Formulas

Rewrite Equations and Formulas. Lesson 3.8 OBJ: To recognize and solve literal equations; to rewrite equations and formulas. Literal Equation . An equation with two or more variables. An equation in which letters are used to replace coefficients and constants of another equation.

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Rewrite Equations and Formulas

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  1. Rewrite Equations and Formulas Lesson 3.8 OBJ: To recognize and solve literal equations; to rewrite equations and formulas.

  2. Literal Equation • An equation with two or more variables. • An equation in which letters are used to replace coefficients and constants of another equation. • Examples:

  3. Solving Literal Equations • Solving equations for one variable in terms of the other variables without substituting any values. • Examples: • Solve V =lwh for h. • Solve A = p +prt for r. • Solve A = p + prt for p. **Use the same rules for solving equations. The only difference is that it is not numbers, it is only variables.

  4. Solve literal equations • Solve ax + b = c for x. Then use the solution to solve 2x + 5 = 11 • Step 1: Solve ax + b = c for x • Step 2: Use the solution to solve 2x + 5 = 11. • The solution of 2x + 5 = 11 is 3. • Example: Solve p + qx = r for x. Then use the solution to solve 3+5x = -7.

  5. Two or more variables… • Write -2x + 3y = 6 so that y is a function of x. • This means solve for y. • Write 12 = 9x + 3y so that y is a function of x. • Write 14 = 7y – 6x so that y is a function of x.

  6. Solve and use Geometric Formulas • The area for a rectangle is given by the formulas A = lw, where l is the length and w is the width. • Solve the formula for the length l. • Use the rewritten formula to find the length of this rectangle. A = 351 cm2 13 cm

  7. Homework • Text p. 187- 188 • #’s 3-6, 12 – 18 evens, 20 -22, 24, 26, 27, 32, 33

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