Rearranging Geometric Formulas

This lesson teaches how to rearrange geometric formulas using properties of equality. It covers solving equations without numeric solutions, common mistakes, and specific examples like finding a trapezoid's base and a circle's radius. The lesson emphasizes understanding which variable to solve for and applying properties like distributive and multiplicative equality.

What is a common mistake when solving equations involving division?

• Forgetting to add constants to both sides

• Dividing instead of multiplying

• Applying the distributive property incorrectly

• Using the addition property of equality

When solving for the second base of a trapezoid, which property is used to combine 1/2 and h?

• Associative property

• Identity property

• Commutative property

• Distributive property

How do you isolate the second base of a trapezoid in the formula?

• Add the length of base 1 to both sides

• Multiply both sides by the height

• Divide the area by the height

• Subtract the length of base 1 from both sides

What is the first step in solving for the radius of a circle from its area?

• Add pi to both sides

• Divide both sides by pi

• Multiply both sides by pi

• Take the square root of both sides

After finding the value of the radius squared, what is the next step to find the radius?

• Multiply by pi

• Add pi

• Take the square root

• Divide by 2