Algebra Answers

Simplify the sum Σ from r=0 to 2n+1 of [3/(r+1)(r+2)]

A town has a population of 2000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole number?

A Kitten Is Given An Injection Of A 0.5% Solution. The Dose Rate Is 1mg/Kg/Day And The Kitten Weighs 0.5lg. What\'S The Volume Injected?

Explain how to help learners develop algebraic reasoning in the Intermediate Phase. Give

examples to justify your thinking.

2.2 Simphiwe bought meal tickets to use at the school’s cafeteria. Each meal requires 2

tickets, and she bought 14 tickets in total. She has already used some of the tickets, and

she still has some left.

2.2.1 Write four equivalent expressions that gives the number of tickets Simphiwe has

left in terms of x, where x is the number of meals she has already bought. (4)

2.2.2 14 − 2x represents the number of tickets Simphiwe has left after she bought x

meals. How can 14, −2, and 2x be interpreted in terms of tickets and meals? (6)

2.2.3 2(7 − x) also represents the number of tickets Simphiwe has left after she

bought x meals. How can 7, (7 − x), and 2 be interpreted in terms of tickets and

meals? (6)

2.2.4 Discuss the purpose and the importance of the instructional activity in relation to

fostering algebraic reasoning in mathematics education. (4)

The activity below was given to Grade 6 learners. Answer the questions that follow:

Activity:

Write an expression using the sequence/order of operations

i. Add 5 to x, subtract the result from 1, then double what you have.

ii. Add 5 to x, double what you have, then subtract 1 from the result.

2.1.1 Two learners claim that the instructions for the two expressions are the same.

Briefly explain the important differences between the two expressions. (6)

2.1.2 Write a detailed solution for learners showing step-by-step how to do the activity.

(10)

2.1.3 Simplify each expression you found in 2.1.2 to show that they are different.

The bus took 9 to 10 hours to reach at the waterfalls. It costs $15 per student. What is the function (fx) can be created

If log𝑎 𝑞 = 1/5 solve the equation , 𝑥 log𝑎 𝑞 + (𝑥 + 2) log𝑎 𝑞^2 = 3

If {9}^{-1 + 2\,x} == \frac{{81}^{2+x}}{{3}^{x}} find x

Evaluate without using math table

Sqrt(Rationalize(0.81)*10^(-5)/(Rationalize(2.25)*10^7))