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

Published byAudra Webster Modified over 9 years ago

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Presentation on theme: "Equations, Formulas, and the Problem-Solving Process 2.1 1.Verify solutions to equations. 2.Use formulas to solve problems."— Presentation transcript:

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

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

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? NO Use parentheses!

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

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

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 ft 2

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 ft 3

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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