Unit 3 Day 4 – Solving Equations with Rational Exponents and Radicals

Warm-Up 1

Simplify the following:

cabbca4

2

812)1 322).2 xy

204).3 yx

HW Check

Go over Quiz

Think about it…The phrase… Is the

expression…

And its inverse is…

adding 5 to a number x + 5 Subtracting 5 from a number

subtracting 7 from a numbermultiplying a number by ½ Multiplying a number by 2/5dividing a number by 3squaring a numberTaking the square root of a numberRaising a number to the 5th powerTaking the 5th root of a numberRaising a number to the 2/5 power

Check your work!

So, what is an inverse?

So, what is an inverse?

An inverse is an operation that reverses or undoes another operation!

Objective 1: Solve the following equations.

Check your work!

Objective 2: Solve the following equations.

Check your work!

Check some more!

Objective 3: Solve the following equations. Be sure to check for extraneous solutions!

Check your work!

Objective 4: Applications of Equations with Rational Exponents or Radicals

1.The distance between two points is . If one of the points is located at and the other point has a x-value of , what are the possible y-values of the other point?

2.The volume of a sphere is 2145. If the formula is used to calculate the volume of a sphere, what is the radius of the sphere?

3.The equation allows you to calculate the maximum speed, v, that a car can safely travel around a curve with a radius of feet. This is used by the Department of Transportation to determine the best speed limit for a given stretch of road. If a road has a speed limit of 45 mph, what is the tightest turn on that road?

Check your work!

Homework

Kuta worksheets