Algebra Answers

Use a standard algorithm to calculate: "4 \\frac{2}{3}+\\frac{2}{3}-1\\frac{3}{4}" . Explain how you worked on the second step to assist the understanding of the standard algorithm used.

4 and 1are whole numbers and the rest are fractions.

determine the general antiderivatives of the following functions f(x)=(x+1)¹⁰⁰

Which of the following is part of the set of all possible rational zeros of

f(x)=2x4−x3+6x2−5x−8?

i.

±1; ±2; ±12; ±14

ii.

±1; ±2; ±4

iii.

±1; ±2; ±4; ±12; ±14

iv.

None of the given options.

v.

±2; ±8; ±14

1- Find the domain of function f(X)=ln (-2/X2-x-6) +√x2 -1

2- Find the inverse function of the function f(X)=X2 -4x +5; X €(3,4)

3- construct the tangent line to the graph of the function f(X)= 4x.√x-2 .√x which is parallel to the line y=x.

Multiply 62 by 35, firstly by breaking down 35 in its terms (30 + 5) and secondly by breaking down 35 in its factors (5 x 7). Show all your steps.

(a) 62 x (30 + 5)

(b) 62 x (5 x 7)

Which base-10 (Dienes) blocks represent the sum of 1034 and 675?

Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes.

My calculation (3)

Explanation of my steps (3)

Many learners struggle to make the leap from understanding whole number to understanding rational number (which includes whole numbers and fractions). Describe what you will do to help a learner who cannot position  correctly on a number line.