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Equations, Formulas, and the Problem-Solving Process

2.1. Equations, Formulas, and the Problem-Solving Process. 1. Verify solutions to equations. 2. Use formulas to solve problems. What’s the difference?. Expression. Equation. Simplified. Solved. Equation: Two expressions set equal. False. True.

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Equations, Formulas, and the Problem-Solving Process

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  1. 2.1 Equations, Formulas, and the Problem-Solving Process 1. Verify solutions to equations. 2. Use formulas to solve problems.

  2. What’s the difference? Expression Equation Simplified Solved Equation: Two expressions set equal. False True Solution: A number that makes an equation true when it replaces the variable in the equation.

  3. To Check a Possible Solution • Replace the variable in the equation with the value. • If the resulting equation is true, the value is a solution.

  4. Solutions Is a = 12 a solution? Use parentheses! NO

  5. Solutions Is a solution? Yes

  6. Determine which of the following is a solution for the equation. a) –5 b) – 1 c) 2 d) 4 2.1

  7. Determine which of the following is a solution for the equation. a) –5 b) – 1 c) 2 d) 4 2.1

  8. Formula: An equation that describes a mathematical relationship. Perimeter: The distance around a figure. Area: The total number of square units that fill a figure. The total number of cubic units that fill a space. Volume: Circumference: The distance around a circle. Radius: The distance from the center of a circle to any point on the circle. Diameter: The distance across a circle through its center.

  9. Formulas See page 95!!!! Area: w Perimeter: l Area: h b Area: r Circumference:

  10. Formulas Perimeter, Area or Volume? Filling a pool with water? Volume Cover for a pool? Area Tile around a pool? Perimeter Fencing? Perimeter Laying carpet? Area Putting up a wallpaper border? Perimeter

  11. Formulas Suppose you have a rectangular pool that is 12 feet wide and 20 feet long. The pool has a constant depth of 4 feet. Find the perimeter, the area and the volume. Perimeter: feet

  12. Formulas Suppose you have a rectangular pool that is 12 feet wide and 20 feet long. The pool has a constant depth of 4 feet. Find the perimeter, the area and the volume. Area: square feet or ft2

  13. Formulas Suppose you have a rectangular pool that is 12 feet wide and 20 feet long. The pool has a constant depth of 4 feet. Find the perimeter, the area and the volume. Volume: cubic feet or ft3

  14. A thermometer reads 30° C: what is this temperature in degrees Fahrenheit? a) 34F b) 49F c) 86F d) 112F 2.1

  15. A thermometer reads 30° C: what is this temperature in degrees Fahrenheit? a) 34F b) 49F c) 86F d) 112F 2.1

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