# Mathematics Knowledge

**1** learner taking this course

## Lessons

## Lesson 2 – Math Foundations and Terminology

This lesson will define and explain the fundamental math terms to know for your test. The terms include base, exponent, factorial, reciprocal, root, and rounding. Once you learn those terms,…

## Lesson 3 – Algebra Terms

In this lesson, you will learn about the difference between algebra and arithmetic. Algebra uses letters, such as x and y, to represent numbers that are combined according to the…

## Lesson 4 – Algebra Expressions and Equations

The difference between algebra equations and algebra expressions is that an equation can be solved, whereas an expression can only be simplified. Therefore, an equation will end in a numerical…

## Lesson 5 – Exponents, Scientific Notation and Roots

In this lesson, we create equivalent expressions using the laws of exponents. In addition, you will learn how to convert numbers from standard form into scientific notation. In order to…

## Lesson 6 – Geometry: Lines and Angles

Now that we’ve covered algebra, it is time to move on to the next challenge. Let’s enter the world of creating shapes, patterns, and objects with precision – geometry! Geometry…

## Lesson 7 – Geometry: Triangles

Geometry works with the following shapes: triangle, circle, quadrilateral, trapezoid, pentagon, hexagon, heptagon, octagon, nonagon, decagon, dodecagon, and others. These multi-sided, two-dimensional, shapes are called polygons. Polygons have straight, not…

## Lesson 8 – Geometry: Quadrilaterals, Circles, and Rectangular Solids

In this lesson, you will learn how to measure the perimeter and area of triangles and quadrilaterals. We will also cover how to measure the area and perimeter (circumference) of…

## Lesson 9 – Fractions: Adding and Subtracting

In this lesson we will cover the steps and arithmetic rules for adding and subtracting fractions. To start, it is a good idea to reduce fractions before solving math equations.…

## Lesson 10 – Fractions: Multiplying and Dividing

In this lesson, we will teach you the steps to follow when multiplying or dividing fractions to solve an equation. The first step when multiplying fractions is to multiply the…

## Lesson 11 – Percentages: Adding, Subtracting, Multiplying and Dividing

In this lesson, we will introduce you to adding, subtracting, multiplying and dividing percentages. This includes fractional percentages. Percentages are not always whole numbers in the real world. It is…

## Lesson 12 – Factoring Polynomials and Quadratic Equations

In this lesson, you will learn how to add, subtract, multiply and divide terms. A term, such as x, can sometimes be combined within an expression. A monomial is an…

## Lesson 13 – Calculating without a Calculator

This lesson will cover quick tricks to solve math equations to remove the need to use a calculator. A calculator is not allowed on the ASVAB test, so you will…

## Lesson 14 – Math Knowledge Course Review and Test Tips

In this lesson, we will summarize the content taught throughout the Math Knowledge course. At the end of the lesson, we will review test-taking strategies to help apply your new…