Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 16:03
- Lesson: 27:57
- Lesson: 35:12
- Lesson: 4a7:52
- Lesson: 4b0:50
- Lesson: 4c1:06
- Lesson: 53:30

- 1.Peter first took a train and traveled 100 km. Then, he traveled another 10 km by boat. The average speed of the train was ten times faster than the average speed of the boat; and it took Peter 11 hours to finish the whole trip.

Given that the average speed of the boat was b km/h, find the average speed of the boat and complete the table below.

Distance

Speed

Time

Train

Boat

*b* - 2.Two consecutive even whole numbers are selected. The difference between the reciprocal of the two numbers is $\frac{1}{144}$. Determine the numbers.
- 3.A rectangular cubicle in an office has an area of 81m$^2$. During a redesign of the office, the dimensions of the cubicle are altered, yet the area remains unchanged. If the width is tripled and the length is decreased by 6m, what are the dimensions of the redesigned cubicle?
- 4.Thomas is going on a vacation to Maui, with a flying distance of 3780 km from home. On the return flight, due to turbulence, the average flying speed was 90 km/hr slower than that of the onward flight. The time taken for the return flight was 1 hr more than for the onward flight.a)Calculate the average speed of the journey from home to Mauib)Calculate the time taken for the journey from: home to Mauic)Calculate the time taken for the journey from: Maui to home
- 5.Suppose a chef can cook for the entire restaurant in 4 hours, and his apprentice takes 12 hours. How long would it take the two of them together to cook for the restaurant?

12.

Rational Functions and Expressions

12.1

Quotient rule of exponents

12.2

Power of a product rule

12.3

Power of a quotient rule

12.4

Power of a power rule

12.5

Negative exponent rule

12.6

What is a rational function?

12.7

Point of discontinuity

12.8

Vertical asymptote

12.9

Horizontal asymptote

12.10

Slant asymptote

12.11

Solving rational equations

12.12

Solving rational inequalities

12.13

Simplifying rational expressions and restrictions

12.14

Adding and subtracting rational expressions

12.15

Multiplying rational expressions

12.16

Dividing rational expressions

12.17

Applications of rational equations

12.18

Simplifying complex fractions

12.19

Partial fraction decomposition