MYP Extended Mathematics Logarithms and Non-linear Inequalities Questionbank

Practice MYP MYP Extended Mathematics Topic Logarithms and Non-linear Inequalities with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Logarithms and Non-linear Inequalities and mirrors Paper 1, 2 style where relevant.

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Type

Difficulty

Question 1

True or False: The identity $\frac{l o g _{a} M}{l o g _{a} N} = lo g_{a} (M - N)$ is a valid logarithm law for all $M > N > 0$ .

Question 2

True or False: The point $(- 3, 10)$ is part of the solution region for the inequality $y \geq x^{2} + 2$ .

Question 3

True or False: The point $(0, 0)$ can be used as a valid test point to determine the shading region for the inequality $y > x^{2} + x$ .

Question 4

Using the laws of logarithms, expand the following expression completely (assuming $x > - 2$ and $y > 0$ ): $lo g_{a} \frac{( x + 2 ) ^{2}}{y ^{3}}$

Question 5

If $a = lo g_{10} 2$ and $b = lo g_{10} 3$ , which of the following represents $lo g_{5} 12$ in terms of $a$ and $b$ ?

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MYP Extended Mathematics Logarithms and Non-linear Inequalities Questionbank

MYP MYP Extended Mathematics Topic Logarithms and Non-linear Inequalities Questionbank

Unlock all 43 questions with a free account