Algebra Answers

1. Which of the following statements refers to the relative quantities and which refer to absolute quanties?

i. In 2017, the number of first- year University students registered for a mathematics course was 20 317.

ii. More than half of students at a.Gauteng University are women.

iii. The death toll from Cyclone Dineo might reach 10 000.

iv. The ratio of female to male workers in the mines is 1:9.

v. A couple has a 20% chance of conceiving a child during any given month.

vi. One out of every 10 people is left -handed.

2. A biscuit recipe requires 2/3 of cup of milk. Each recipe make 12 biscuits. How many biscuits can 6 cups of milk make?

You are a graduating mechanical engineering student. As part of the course requirement, you applied for an internship in a model makers company. The officer – in – charge asked your assistance to make a model of a car for a client. The dimension of the car is 5 ft by 10 ft. Based on this, you are required to make a model with a scale of 1 in : 4 ft.

Currently, Nora is 3 times as old as Damon. In 8 years, she will only be 2 times as old as Damon. How old will Damon be in 8 years?

Generalise your findings to

predict what you will observe

in the sum of

(a) five consecutive multiples

of 10 like (30 + 40 + 50 +

60 + 70)

(b) three consecutive

numbers like

(7 + 8 + 9)

(c) seven consecutive

numbers like

(2 + 3 + 4 + 5 + 6 + 7

+ 8)

4. Find the ratio e : f, if 5e2 – 13ef – 6f2 = 0 where e and f ≠ 0.

1. At what month (m) will the bill be the same? Show all of your work using the line paper or in your physical notebook . Hint: Set both expressions equal to each other and solve for m The latest Android will cost you a down payment of $110 and \$70/mont with T-Mobile. The latest iPhone will cost you a down payment of $120 and \$65/month with T-Mobile.

Consider the following exam question and student solution Determine whether the solution is correctIf it is not correctwrite a note to the student explaining why it is wrong and give a correct solution. Exam Question: A candy store chocolate for pound The you want buy weighs 0.22 pound. How much will it cost to the nearest cent? (Neglect sales tax) Student Solution: 0.22/7.77 = 0.028 . It will cost 2.8 cents

1) A swimming bath can be filled by two pipes,A and B, in 15 hours. If A only is used, it takes 24 hours to fill the bath. How long will it take if B only is used.

2) A liquid X contains 38% alcohol and a liquid Y contains 71% alcohol. In what ratio must X and Y be mixed to obtain a liquid containing 50% alcohol?

For each of the following number sequence below,

(i) state the first term , and write the next four terms of the sequence

(ii) Find the common difference

(iii) find the general Th for the sequence

(iv) write down the input and output value of the five terms of the sequence in a table

(v) represent the number sequence on a coordinate plane in a graphic form

A. write down the number sequence of positive multiples of three starting at six.

B. 6; 13; 20; ...

C. -5; -1; ...; 11; ...

D. 8; 17; 26; ...

E. 3; 11; 19; ...

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

A. -3x + 4y = 3

B. -1.5x − 3.5y = -31.5

C. 2x + y = 20

D. -2.25x + y = -9.75