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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))



the demand curve for a swiveled chair is given by p=4000(3-5) dollars per swiveled chair. where p is the price and q is the quantity , in thousand of swivel chair, demanded at that price. what quantity will.be demanded if the price per swivel chair is 256.60


Find the indicated function values for the function g(x)=3x+3.




a. g(0) b. g(3) c. g(-2/3) d. g(-2b) e. g(b+5)

Examine the following solution to 𝑥 2 − 2𝑥 = −1: 𝑥(𝑥 − 2) = −1 𝑥 = −1 or 𝑥 − 2 = −1 𝑥 = −1 or 𝑥 = 1 Is this method correct? Explain. 


Find the slope-intercept form for the line perpendicular to 2x –3y=-6 and passing through (4,–9)


Solve for x:

73x-1 =32x