Algebra Answers

Which of the following = "(n+1)! \/ (n-2)!"

1. "n(n-1)(n-2)"
2. "(n+1)n(n-1)!"
3. "n(n-1)(n-2)!"
4. "(n + 1)n(n - 1)"
5. None of the above

Let "a(x) =" "x^3 - 2x - 4"

Which of the following is true?

1. "a(x))" is not a polynomial
2. The remainder when "a(x)" is divided by "x + 2" is 0
3. "a(x)" is divisible by "x - 2"
4. "a(-1) = 3"
5. None of the above

What is (99;79) + (99;80)

Andrew's parents follow a regular schedule for taking care of their car. They change the oil every 3 000 km, rotate the tyres every 10 000 km and replace the wiper blades every 15 000 km. After how many kilometres will they first have to change the oil, rotate the tyres and replace the wiper blades all at once? (5)

Consider the following examples in real word situations that describes a correspondence between phenomena

The total cost for repairing a cell phone is R320 for parts plus R50 per hour for labour.

Siphokazi sells 70% alcohol based hand sanitizers.she earns R230 a week and receives a commission of 15% of her sales.

A rental van costs R230 per day plus R4,30 per kilometre.

y=(u-2)³ and u=1/2x=1

(2x+5)(x²-2)=0

Soso brought two cats, Gretchen and Tk, from a pet store in 2015. Gretchen's weight was 3 killograms, and Tk 5 kilograms. In 2018, after a period of growth, Gretchen weight 6 kilograms and Tk 8 kilograms.

1. Which cat do you think showed the largest growth, and why?

2. Tawanda, Soso's friend,says that neither of the cats had growth more than the other because both cats had gained precisely 1 kilogram in weight.

3. How did Tawanda determine this methematically? Write down the computations the Tawanda might have made.

Multiply by fractions (fraction of)

Multiplying by a fraction always means finding that fraction of the quantity

Here it is half of 1/2 , or 1/2× 1/2

1. What is a half of 1/2?( You can see it by putting the quarter strip next to the half strip)

Multiply by whole numbers (lot of)

Multiplying by a whole number always means finding that number of the quantity.

1. What fraction is the same length as 3 lots of 2/9?

(It should be clear that it is 2/3)

2. What fraction is the same length as 4 lots of 1/12?

3. What fraction is the same as 6 lots of 2/15?