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5-Minute Check

5-Minute Check. Solve each equation. Check your solution. x / 3 = -6 -18 -3x = -6 2 x / -2 = -16 32 -2x = 16 -8 12x = -156 -13. 2-6 Formulas. Objective: Solve problems using formulas. To Solve an Equation means.

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5-Minute Check

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  1. 5-Minute Check • Solve each equation. Check your solution. • x/3 = -6 -18 • -3x = -6 2 • x/-2 = -16 32 • -2x = 16 -8 • 12x = -156 -13

  2. 2-6 Formulas Objective: Solve problems using formulas.

  3. To Solve an Equation means... • To isolate the variable it must be by it’s lonesome. (Have a coefficient of positive 1) • Ex: x= 5 is solved for x. y = 2x - 1 is solved for y.

  4. Example • Suppose a car travels at 55 mi/h for 3 h. How far did it travel? • d = rt • d = 55 • 3 • d = 165 mi Distance

  5. Formula shows the relationship between 2 or more quantities. d = 2r Diameter = 2 x radius d = rt distance = rate • time

  6. Example Use the formula d = 2r to find the radius of a circle that has a diameter of 18 meters. d = 2r Diameter formula. 18 = 2r Substitute 18 for d. 18/2 = 2r/2 Divide each side by 2. A circle with a diameter of 18 meters has a radius of 9 meters. 9 = r

  7. Two – Step Equations • To isolate the variable it must be by it’s lonesome. (Have a coefficient of +1)

  8. Solving Multi-Step Equations Ex: x + 9 = 6 5

  9. Use a chart as a shortcut to answering the questions. DO UNDO ÷5 -9 +9 *5 Follow the steps in the ‘undo’ column to isolate the variable. Ex: x + 9 = 6 5 First subtract 9. x + 9 - 9 = 6 - 9 5 x = -3 5 Then multiply by 5. (5) x = -3(5) 5 x = -15 The DO-UNDO chart

  10. Transforming Equations Containing Only Variables • Solve ab – d = c for b. ab – d = c + d +d ab = c + d a a DO UNDO * a + d - d / a

  11. A = ½ h B 2 * *2 • Solve the formula for the area of a triangle for height h. B b DO UNDO A = ½ h B * 1/2 / b * b / ½ (*2)

  12. HomeworkPg 83 8-18 evenFor 14-18 use do and undo charts Look in textbook to find formulas for areas of figures

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