Algebra Answers

if two numbers are said to be the factor of a number then any of the two number is a multiple of that number

Question 6 a) As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for total amount of £210. What were the total savings made? Show your working.

b) Work out the average savings per person.

Question 7 Work out the following: a) 3/4 - 7/9 + 2/3 (4 marks) b) Which is the largest of the following numbers? 0.1, 0.02, 0.003, 0.0004, 0.00005

Question 8 90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie. Altogether 3/5 of the people said Yes. 3/10 of the women said Yes. What percentage of the men said No? (Show your working)

working. 

Question 1 Explain the terms (a) numerator, (b) denominator.

Question 2 Express 24/40 and 18/42 in their simplest forms.

Question 3 a) Express the fractions 2/3, 3/4 and 5/6 as equivalent fractions with a denominator of 12.

b) A library contains 60,000 books. 14,000 are on the subject of business, 22,000 are on healthcare and 12,000 on psychology and law. What percentage of the library’s books is on computing, if computing books make up two-thirds of the remainder?

Question 4 A sports shop in Manchester is doing a sale on some merchandise. Liz hears about it and goes to make a purchase of two pairs of running shoes. She gives the sales attendant in the store three crisp £50 notes and is given change of £10.50. What is the price of each pair of running shoes? Show your working.

Question 5 a) What is 240.50 x 19.54? Give your answer to 2 significant figures.

b) Write the number 52100 as a power of 10. 

1/4 x² - 1/4 xy + 1/16 y² Factor it

R1840 will be divided between Aphiwe and Dhoni in the ratio 3 : 5. How much will Aphiwe and Dhoni each get in total?

One of the learners gave the answer as: Aphiwe: R1104 and Dhoni: R3066,67.

a) Explain this learner’s possible (mis)understanding of the question. Would you say it is the same misconception or two different misconceptions that the learner has?

b) How can you rectify the learner’s mistake(s) in solving the task? Use drawings to illustrate your answer.

Three friends want to go camping and they pack enough water to last for 6 days. Just as they are about to leave they are joined by 3 more people. How long will their water last now?

Half of a number less than two is twenty.

5÷(√(x+1))-3√(x+1)+2=0

The ABM club wants to rent a bus for the yearly

educational trip. The rent of the bus is P10,000,

which will be divided among the members that agree

to join. At this moment, 8 students have already

signed up.

a. at this moment, what is the cost for each member?

b. by making a table, show what happen to the cost

per member as additional members agrees to join.

c. Write a function for the cost per member C(m)

related to the number of additional members m that

agree to join.