Exercises and Solutions

Below you will find the exercises and solutions available for The Language of Mathematics. Over time, more will be added and those in draft form will be finalized.

Please keep in mind that like most people, I am prone to making silly mistakes, so take the answers with a grain of salt. Corrections and suggestions are always welcome.

Series I - Description, Videos.

Series II - Description, Videos.

Series IIIa - Description, Videos.

Series IIIb - Description, Videos.

Series IV (open)

Series I

Section 2: The Real Number Set

Exercises: Which number set do the following numbers belong to.

Solutions.

Section 4: Basic Operations

Exercises: Basic Operations.

Solutions to:

i) Adding,

ii) Subtracting,

iii) Multiplying,

iv) Dividing,

v) Simplifying.

Section 5: Prime Numbers

Exercises: Break down the following into their Prime factors.

Solutions.

Section 6: Fractions

Exercises:

i) Reducing Fractions,

ii) Multiplying and Dividing Fractions,

iii) Adding and Subtracting Fractions.

Solutions to:

i) Reducing Fractions,

ii) Multiplying and Dividing Fractions,

iii) Adding and Subtracting Fractions.

Section 7: Trigonometry

Exercises: Find the missing variables, and solve the following right triangles.

Solutions.

Section 8: Basic Geometry

Exercises:

i) Parallel Lines,

ii) Congruent and Similar Triangles.

Solutions to:

i) Parallel Lines,

ii) Congruent and Similar Triangles.

Section 9: Coordinate Geometry

Exercises:

i) Plotting Points and Lines,

ii) Finding Slope, Midpoint, and Distance of a Line.

Solutions to:

ia) Small Grid,

ib) Large Grid,

ic) Plotting Lines,

iia) Finding Slope and Midpoint of a Line,

iib) Finding Distance of a Line.

Section 10: Proofs

Exercises:

i) Proofs Involving Triangles,

ii) Proofs Involving a Line,

iii) Coordinate Geometry Proof.

Solutions to:

i) Proofs Involving Triangles,

ii) Proofs Involving a Line,

iii) Coordinate Geometry Proof.

Series II

Section 1: Exponents and Radicals

Exercises:

i) Adding and Subtracting,

ii) Multiplying and Dividing,

iii) Exponents to Exponents,

iv) Reducing Radicals,

v) Simplifying Radicals.

Solutions to:

i) Adding and Subtracting,

ii) Multiplying and Dividing,

iii) Exponents to Exponents,

iv) Reducing Radicals,

v) Simplifying Radicals.

Series IIIa

- No exercises available for this series at the moment.

Series IIIb

- No exercises available for this series at the moment.

Series IV

- No exercises available for this series at the moment.