Solving Literal Equations for a Specific Variable

Mr. Ellen explains how to solve literal equations by isolating different variables in formulas. He demonstrates solving for height in the area of a triangle, radius in the circumference of a circle, and rate in the distance formula. The video covers techniques like multiplying, dividing, and using square roots to rearrange equations, providing practical examples and tips for understanding these concepts.

What is the first step to isolate the height in the area of a triangle formula?

• Add the height

• Subtract the base

• Multiply by 2

• Divide by the base

Tags

CCSS.6.EE.B.7

After multiplying by 2, what is the next step to solve for height in the area of a triangle formula?

• Add the base

• Divide by the base

• Multiply by the height

• Subtract the area

Tags

CCSS.6.EE.B.7

In the circumference formula, what do you need to divide by to solve for the radius?

• 2π

• π

• 2

• r

Tags

CCSS.8.EE.C.7B

What is the formula for the radius when solving the circumference formula?

• C × 2π

• C / 2π

• C × π

• 2π / C

What is the first step to isolate r in the area of a circle formula?

• Add the radius

• Multiply by π

• Subtract the area

• Divide by π

Tags

CCSS.6.EE.B.7

After dividing by π, what is the next step to solve for r in the area of a circle formula?

• Multiply by the radius

• Take the square root of both sides

• Square both sides

• Add the area

Tags

CCSS.8.EE.A.2

In the distance formula, what do you need to divide by to solve for rate?

• Speed

• Rate

• Time

• Distance

Tags

CCSS.8.EE.C.7B

What is the formula for rate when solving the distance formula?

• D / T

• D + T

• D × T

• T / D

Tags

CCSS.HSF-LE.A.1B

If you travel 300 miles in 5 hours, what is your average speed?

• 50 miles per hour

• 60 miles per hour

• 70 miles per hour

• 80 miles per hour

Tags

CCSS.HSF-LE.A.1B

What can you determine using the distance and time in the distance formula?

• The speed

• The height

• The area

• The radius

Tags

CCSS.8.EE.A.2