Rewrite Equations and Formulas

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Presentation transcript:

Rewrite Equations and Formulas Section 3.8 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Literal Equations A literal equation is an equation that has more than one variable Literal in Latin means “letter.” Solve for the missing variable and substitute 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Steps Move the term and variables onto one side Isolate the variable Simplify Check 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 1 Solve ax + b = c for x. Then, use the solution to solve, 2x + 5 = 11. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 1 Solve ax + b = c for x. Then, use the solution to solve, 2x + 5 = 11. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 2 Solve a – bx = c for x. Then, use the solution to solve, 12 – 5x = –3. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 3 Solve 3x + 2y = 8 so that y is a function of x. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Your Turn Solve –2x + 3y = 6 so that y is a function of x. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 4 The area A of a triangle is given by the formula, A = 1/2bh where b is the base and h is the height. A) Solve for the formula of h and B) Determine the height when the area is 64.4 meters2 and the base is 14 m. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 4 The area A of a triangle is given by the formula, A = 1/2bh where b is the base and h is the height. A) Solve for the formula of h and B) Determine the height when the area is 64.4 meters2 and the base is 14 m. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Example 5 The perimeter P of a rectangle is given by the formula, P = 2l + 2w. A) Solve for the formula of w and B) Determine the width of the rectangle using the figure below. P = 19.2 feet 7.2 ft. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Your Turn The area A of a rectangle is given by the formula, A = lw where l is the length and w is the width. A) Solve for the formula of l and B) Determine the length when the area is 351 cm.2 and the length is 13 cm. A = 351 cm.2 13 cm. 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas

3.8: Rewriting Equations and Formulas Assignment Pg 187 4-30 even 2/26/2019 5:08 PM 3.8: Rewriting Equations and Formulas