A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1 by Rong Yang

A+ notes on Beginning Algebra

A+ notes on Beginning Algebra

The A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1 by Rong Yang includes topics on Algebra such as Real Numbers, Decimals, Number Theory, Fractions, Percents, Equations, Functions & Graphs, Factoring, Inequalties & Absolute Value, Systems of Equations, Systems of Inequalities, Radicals, Quadratic Equations, Quadratic Functions, Rational Expressions and Statistics & Probability along with standardized sample questions & tests. The book can be best used for SAT, ACT, NTE, CBEST, STAR TEST & HS EXIT and outlines the concepts, formulas & theorems in Algebra. With over 18,000 simple & complex examples and exercises, the book facilitates the learning process in problem solving. Rong Yang, the author of A-Plus Notes for Beginning Algebra, has written other books as well such as A-Plus Notes for Algebra, A-Plus Notes for Algebra 2 and Pre-Calculus and A-Plus Notes for SAT Math.

An excerpt from the book:

Real numbers are the one which can be located on the number line. Each point on the number line is called the graph of the number on the line. The number is called the coordinate of the point. The coordinate of point A is -5. The graph of -5 is point A. The graph of 0 is the point called origin. The coordinate of the origin is 0. Real numbers include rational numbers and irrational numbers.

Rational numbers can be written as the ratio of two integers. 0.1 = 1/10, 0.5 = 5/10, 1.2 = 12/10 = 6/5, 0.1 = 1/9, 0.54 = 54/99 = 6/11. Every rational number can be expressed as either a terminating decimal or as a repeating decimal.

Irrational numbers cannot be written as the ratio of two integers. They are nonterminating (infinite), nonrepeating decimals.

Integers are positive integers, negative integers & zero. Zero is an integer, neither positive nor negative.

Positive Integers are numbers which we use to count objects such as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc. They are also called natural numbers or counting numbers.

Whole numbers: They are 0 and positive integers. (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, …)

Prime numbers are whole numbers, other than 0 and 1, which are only divisible by 1 and themselves. (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41…)

Composite numbers are whole numbers other than 0 and 1 which are not prime numbers. (4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30,…)

On a number line, the numbers to the right of the origin are positive, and the numbers to the left of the origin are negative. On a number line, the number on the right is greater than the number on the left.

Rule of rounding: When an exact computation is not needed for the answer of a problem, we use the rules of rounding to estimate numbers. We can round each number to the nearest 10, 100, 1000,… It depends on how accurate the answer we need. If the digit to the right of the digit to be rounded is 5 or more, we round up by increasing the digit to be rounded by 1 and replacing the digits to the right with zeros. If the digit to the right of the digit to be rounded is less than 5, we round down by leaving the digit to be rounded the same and replacing the digits to the right with zeros.

The book can be bought in US$ 13.26 from Amazon.com.

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