Prerequisites

OpenStax

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Introduction to prerequisites

Real numbers: algebra essentials

1 Classifying a real number

2 Irrational numbers

4 Sets of numbers as subsets

5 Performing calculations using the order of operations

6 Using properties of real numbers

7 Commutative properties

8 Associative properties

9 Distributive property

10 Identity properties

11 Inverse properties

12 Evaluating algebraic expressions

14 Simplifying algebraic expressions

15 Key concepts

19 Real-world applications

Exponents and scientific notation

1 Using the product rule of exponents

2 Using the quotient rule of exponents

3 Using the power rule of exponents

4 Using the zero exponent rule of exponents

5 Using the negative rule of exponents

6 Finding the power of a product

7 Finding the power of a quotient

8 Simplifying exponential expressions

9 Using scientific notation

10 Converting from scientific to standard notation

11 Using scientific notation in applications

12 Key equations

13 Key concepts

14 Section exercises

18 Real-world applications

Radicals and rational exponents

1 Evaluating square roots

2 Using the product rule to simplify square roots

3 Using the quotient rule to simplify square roots

4 Adding and subtracting square roots

5 Rationalizing denominators

6 Using rational roots

7 Understanding n Th roots

8 Using rational exponents

10 Section exercises

14 Real-world applications

1 Identifying the degree and leading coefficient of polynomials

2 Adding and subtracting polynomials

3 Multiplying polynomials

4 Multiplying polynomials using the distributive property

5 Using foil to multiply binomials

6 Perfect square trinomials

7 Difference of squares

8 Performing operations with polynomials of several variables

9 Key equations

10 Key concepts

11 Section exercises

14 Real-world applications

Factoring polynomials

1 Factoring the greatest common factor of a polynomial

2 Factoring a trinomial with leading coefficient 1

3 Factoring by grouping

4 Factoring a perfect square trinomial

5 Factoring a difference of squares

6 Factoring the sum and difference of cubes

7 Factoring expressions with fractional or negative exponents

8 Key equations

11 Real-world applications

Rational expressions

1 Simplifying rational expressions

2 Multiplying rational expressions

3 Dividing rational expressions

4 Adding and subtracting rational expressions

5 Simplifying complex rational expressions

7 Section exercises

10 Real-world applications

12 Chapter review exercises

13 Real Numbers: Algebra Essentials

14 Exponents and Scientific Notation

15 Radicals and Rational Expressions

17 Factoring Polynomials

18 Rational Expressions

19 Chapter practice test

Source: OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6

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