This lesson consists of providing you with a Self-Tutorial on how to solve typical linear word problems (story problems or applied problems). The tutor shows you how to solve for a specific variable in formulas. He also discusses how to covert a repeating decimal into a fraction (which was skipped in Basic Math: Lesson 6 -"Fractions") and will teach you how to convert units of measurement.

 

Examples of word problems done include:

 

Finding a number based on certain criteria.

Word problems involving some geometry (triangle, rectangle, circle).

Age problems.

Mixture problems.

Money problems (story of my life!).

Rate-Time-Distance problems.

Percent Equations/problems.

Ratio and Proportion (concepts and solving problems, including similar triangles).

Problems dealing with Unit Price.

Lesson consists of providing you with a Self-Tutorial on how to solve linear equations. I discuss what is an Equation, Solution, Solution Set, Equivalent Equations, Identity, Contradictions, Conditional Equations, Linear Equations, the Standard Form of a Linear Equation. I show you how to actually SOLVE linear equations going step-by-step. I don't skip steps. I review some of the properties of Equality here too. I remind you to check the work done and how to solve linear equations using a calculator. At the end, you will know how to easily solve equations that look like:

 

                          2[y - (4y - 1)] = 5 - 9y

 

No word problems are done here. This is shown in DETAIL in Part 2 of the Lesson.

 

 

 

For use by math and science students, NOT for foreign language use.

 

This lesson consists of providing you with a basic review of the formulas from geometry you will most likely encounter in algebra (and other math classes like trigonometry and calculus). This is NOT a detailed, formal lesson.

 

Formulas and concepts covered include:

 

Angles (complementary & supplementary)

Triangles (perimeter and area)

Isosceles triangle

Equilateral triangle

Right triangle

The Pythagorean Theorem

Similar triangles

Perimeter and area formulas for Quadrilaterals (square, rectangle, parallelogram, trapezoid). Some diagonal formulas too, where applicable.

Circles (radius, diameter, circumference, area)

Cube (diagonal of face, diagonal of cube, surface area and volume)

Rectangular box [or Rectangular Parallelepiped] (diagonal of box, surface area and volume)

Prisms (Volume)

Pyramids (Volume)

Cone (slant height, lateral surface area, total surface area, volume)

Cylinder (lateral surface area, total surface area, volume)

Sphere (surface area and volume)

 

This lesson consists of providing you with a Self-Tutorial on what is algebra, what are variables, constants, coefficients, terms, and expressions. I explain the use of proper notation, how to combine like terms, find the negation of an algebraic expression, how to evaluate an expression (by hand and by using your calculator), and finally, there is a VERY detailed section on how to translate English phrases into algebraic expressions.