Pular para o conteúdo

Physics Playground

Simulações Como ensinamos Preços

Idioma

Entrar Comece grátis

Carregando…

Physics Playground

Construído com fontes abertas e revisadas por pares: OpenStax, The Feynman Lectures on Physics, HyperPhysics, NASA e NIST. Veja nossas fontes.

Aprender

Curso de física
Matemática para Física
Comece pela caixa de ferramentas
Simulações
Glossário
Exercícios
Provas anteriores
Biblioteca
Como ensinamos

Empresa

Preços
Termos
Privacidade
Contato

© 2026 Physics Playground. Feito para os curiosos.Idioma

Elementary Algebra

Preface
1Foundations
2Solving Linear Equations and Inequalities
3Math Models
4Graphs
5Systems of Linear Equations
6Polynomials
7Factoring
8Rational Expressions and Equations
9Roots and Radicals
10Quadratic Equations
Answer Key
Index

Biblioteca Elementary Algebra

Sumário

Preface
1Foundations
2Solving Linear Equations and Inequalities
3Math Models
4Graphs
5Systems of Linear Equations
6Polynomials
7Factoring
8Rational Expressions and Equations
9Roots and Radicals
10Quadratic Equations
Answer Key
Index

Index

Index

A

absolute value 1.3 Add and Subtract Integers, 1.3 Add and Subtract Integers

addition 1.2 Use the Language of Algebra

Addition Property of Equality 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality, 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

additive identity 1.9 Properties of Real Numbers

additive inverse 1.9 Properties of Real Numbers

amount of discount 3.2 Solve Percent Applications

an inconsistent system 5.1 Solve Systems of Equations by Graphing

area 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem, 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

associative property 1.9 Properties of Real Numbers, 1.9 Properties of Real Numbers

axis of symmetry 10.5 Graphing Quadratic Equations, 10.5 Graphing Quadratic Equations

B

binomial 6.1 Add and Subtract Polynomials, 6.3 Multiply Polynomials, 6.3 Multiply Polynomials, 6.3 Multiply Polynomials, 6.4 Special Products, 6.4 Special Products, 6.6 Divide Polynomials

boundary line 4.7 Graphs of Linear Inequalities, 4.7 Graphs of Linear Inequalities

C

coefficient 1.2 Use the Language of Algebra

coincident lines 5.1 Solve Systems of Equations by Graphing

commutative property 1.9 Properties of Real Numbers

complementary angles 5.4 Solve Applications with Systems of Equations

completing the square 10.2 Solve Quadratic Equations by Completing the Square

complex fraction 1.5 Visualize Fractions

complex rational expression 8.5 Simplify Complex Rational Expressions, 8.5 Simplify Complex Rational Expressions

composite number 1.1 Introduction to Whole Numbers

conditional equation 2.4 Use a General Strategy to Solve Linear Equations

conjugate pair 6.4 Special Products

consecutive even integers 10.4 Solve Applications Modeled by Quadratic Equations, 10.4 Solve Applications Modeled by Quadratic Equations

consecutive odd integers 10.4 Solve Applications Modeled by Quadratic Equations, 10.4 Solve Applications Modeled by Quadratic Equations

consistent system 5.1 Solve Systems of Equations by Graphing, 5.1 Solve Systems of Equations by Graphing

constant 1.2 Use the Language of Algebra, 1.2 Use the Language of Algebra

contradiction 2.4 Use a General Strategy to Solve Linear Equations, 2.4 Use a General Strategy to Solve Linear Equations

counting number 1.1 Introduction to Whole Numbers

counting numbers 1.8 The Real Numbers

D

decimal 1.7 Decimals, 1.7 Decimals, 1.7 Decimals, 1.7 Decimals

degree of a constant 6.1 Add and Subtract Polynomials

degree of a polynomial 6.1 Add and Subtract Polynomials

degree of a term 6.1 Add and Subtract Polynomials

denominator 1.1 Introduction to Whole Numbers, 1.5 Visualize Fractions, 1.6 Add and Subtract Fractions

dependent 5.1 Solve Systems of Equations by Graphing

dependent equations 5.1 Solve Systems of Equations by Graphing

difference of squares 7.4 Factor Special Products

discount rate 3.2 Solve Percent Applications, 3.2 Solve Percent Applications

discriminant 10.3 Solve Quadratic Equations Using the Quadratic Formula, 10.3 Solve Quadratic Equations Using the Quadratic Formula

distributive property 1.9 Properties of Real Numbers, 1.9 Properties of Real Numbers

divisible 1.1 Introduction to Whole Numbers

division 1.2 Use the Language of Algebra, 1.4 Multiply and Divide Integers, 1.4 Multiply and Divide Integers, 1.5 Visualize Fractions, 1.5 Visualize Fractions, 1.6 Add and Subtract Fractions, 1.7 Decimals, 1.9 Properties of Real Numbers, 1.9 Properties of Real Numbers

Division Property of Equality 2.2 Solve Equations using the Division and Multiplication Properties of Equality, 2.2 Solve Equations using the Division and Multiplication Properties of Equality

E

elapsed time 3.5 Solve Uniform Motion Applications

Elimination Method 5.3 Solve Systems of Equations by Elimination

equal sign 1.2 Use the Language of Algebra, 1.2 Use the Language of Algebra, 1.2 Use the Language of Algebra

equals sign 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

equation 1.2 Use the Language of Algebra

equivalent decimals 1.8 The Real Numbers

equivalent fractions 1.5 Visualize Fractions

evaluate an expression 1.2 Use the Language of Algebra

expression 1.2 Use the Language of Algebra, 1.9 Properties of Real Numbers

extraneous solution to a rational equation 8.6 Solve Rational Equations

F

factoring 7.1 Greatest Common Factor and Factor by Grouping

factors 1.1 Introduction to Whole Numbers, 1.1 Introduction to Whole Numbers, 1.10 Systems of Measurement

fraction 1.7 Decimals, 1.8 The Real Numbers

fraction bar 1.5 Visualize Fractions

fraction operations 1.6 Add and Subtract Fractions

G

geoboard 4.4 Understand Slope of a Line, 4.4 Understand Slope of a Line

graph of a linear equation 4.2 Graph Linear Equations in Two Variables

greatest common factor 7.1 Greatest Common Factor and Factor by Grouping, 7.1 Greatest Common Factor and Factor by Grouping

grouping symbols 1.2 Use the Language of Algebra

H

horizontal line 4.2 Graph Linear Equations in Two Variables

I

identity 2.4 Use a General Strategy to Solve Linear Equations, 2.4 Use a General Strategy to Solve Linear Equations

Identity Property of Addition 1.9 Properties of Real Numbers

Identity Property of Multiplication 1.9 Properties of Real Numbers

improper fractions 1.8 The Real Numbers

inconsistent system 5.1 Solve Systems of Equations by Graphing

independent 5.1 Solve Systems of Equations by Graphing

independent equations 5.1 Solve Systems of Equations by Graphing

index 9.7 Higher Roots

integers 1.3 Add and Subtract Integers, 1.4 Multiply and Divide Integers, 1.8 The Real Numbers

intercepts of a line 4.3 Graph with Intercepts

interest 3.2 Solve Percent Applications

interval notation 2.7 Solve Linear Inequalities

Inverse Property of Addition 1.9 Properties of Real Numbers

Inverse Property of Multiplication 1.9 Properties of Real Numbers

irrational 1.8 The Real Numbers

irrational number 1.8 The Real Numbers

L

least common denominator 1.6 Add and Subtract Fractions

least common multiple 1.1 Introduction to Whole Numbers, 1.1 Introduction to Whole Numbers

like radicals 9.3 Add and Subtract Square Roots, 9.7 Higher Roots, 9.7 Higher Roots

like square roots 9.3 Add and Subtract Square Roots, 9.4 Multiply Square Roots

like terms 1.2 Use the Language of Algebra

linear equation 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

linear inequality 4.7 Graphs of Linear Inequalities, 4.7 Graphs of Linear Inequalities

list price 3.2 Solve Percent Applications

M

mark-up 3.2 Solve Percent Applications

metric system 1.10 Systems of Measurement

mixture problems 3.3 Solve Mixture Applications

monomial 6.1 Add and Subtract Polynomials, 6.1 Add and Subtract Polynomials, 6.2 Use Multiplication Properties of Exponents, 6.3 Multiply Polynomials, 6.3 Multiply Polynomials, 6.6 Divide Polynomials, 6.6 Divide Polynomials

multiples 1.1 Introduction to Whole Numbers

multiplication 1.2 Use the Language of Algebra, 1.4 Multiply and Divide Integers, 1.4 Multiply and Divide Integers

Multiplication Property of Equality 2.2 Solve Equations using the Division and Multiplication Properties of Equality

multiplicative identity 1.9 Properties of Real Numbers

multiplicative inverse 1.9 Properties of Real Numbers

multiplying fractions 1.5 Visualize Fractions

N

negative exponent 6.7 Integer Exponents and Scientific Notation, 6.7 Integer Exponents and Scientific Notation

negative numbers 1.3 Add and Subtract Integers

negative slope 4.4 Understand Slope of a Line

neutral pairs 1.3 Add and Subtract Integers

nth root of a number 9.7 Higher Roots

number line 1.1 Introduction to Whole Numbers, 1.3 Add and Subtract Integers, 1.8 The Real Numbers

number system 1.1 Introduction to Whole Numbers

numerator 1.5 Visualize Fractions

O

operations 1.2 Use the Language of Algebra

opposite 1.3 Add and Subtract Integers

Order of Operations 1.2 Use the Language of Algebra

ordered pair 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

origin 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

original cost 3.2 Solve Percent Applications

P

parabola 10.5 Graphing Quadratic Equations, 10.5 Graphing Quadratic Equations

parallel lines 4.5 Use the Slope–Intercept Form of an Equation of a Line

percent 1.7 Decimals, 3.2 Solve Percent Applications

percent decrease 3.2 Solve Percent Applications

percent increase 3.2 Solve Percent Applications

perfect square trinomials pattern 7.4 Factor Special Products

perimeter 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem, 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

perpendicular 4.5 Use the Slope–Intercept Form of an Equation of a Line

perpendicular lines 4.5 Use the Slope–Intercept Form of an Equation of a Line

place values 1.1 Introduction to Whole Numbers, 1.7 Decimals, 1.7 Decimals

point–slope form 4.6 Find the Equation of a Line

point–slope method 4.4 Understand Slope of a Line

polynomial 6.1 Add and Subtract Polynomials, 6.1 Add and Subtract Polynomials

positive slope 4.4 Understand Slope of a Line

prime factorization 1.1 Introduction to Whole Numbers, 1.1 Introduction to Whole Numbers

prime number 1.1 Introduction to Whole Numbers, 1.1 Introduction to Whole Numbers, 1.5 Visualize Fractions

principal 3.2 Solve Percent Applications

principal nth root 9.7 Higher Roots

principal square root 1.8 The Real Numbers, 9.7 Higher Roots

product 1.1 Introduction to Whole Numbers, 1.1 Introduction to Whole Numbers, 1.4 Multiply and Divide Integers, 1.5 Visualize Fractions, 1.5 Visualize Fractions, 1.7 Decimals, 1.9 Properties of Real Numbers

profit 3.6 Solve Applications with Linear Inequalities

proper fractions 1.7 Decimals, 1.8 The Real Numbers

proportion 8.7 Solve Proportion and Similar Figure Applications, 8.7 Solve Proportion and Similar Figure Applications

Pythagorean Theorem 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

Q

quadrant 4.1 Use the Rectangular Coordinate System

quadratic equation 10.1 Solve Quadratic Equations Using the Square Root Property

quadratic equation in two variables 10.5 Graphing Quadratic Equations, 10.5 Graphing Quadratic Equations

quadratic equations 7.6 Quadratic Equations

quotient 1.4 Multiply and Divide Integers, 1.5 Visualize Fractions

R

radical equation 9.6 Solve Equations with Square Roots, 9.6 Solve Equations with Square Roots

radical sign 1.8 The Real Numbers

rate of interest 3.2 Solve Percent Applications

ratio 1.5 Visualize Fractions

rational equation 8.6 Solve Rational Equations, 8.6 Solve Rational Equations

rational exponents 9.8 Rational Exponents, 9.8 Rational Exponents

rational expression 8.1 Simplify Rational Expressions, 8.1 Simplify Rational Expressions

rational number 1.8 The Real Numbers

rationalize 10.1 Solve Quadratic Equations Using the Square Root Property

rationalizing the denominator 9.5 Divide Square Roots

real number 1.8 The Real Numbers

reciprocal 1.5 Visualize Fractions, 1.9 Properties of Real Numbers

rectangle 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

rectangular coordinate system 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

repeating decimal 1.7 Decimals

right triangle 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

rise 4.4 Understand Slope of a Line, 4.4 Understand Slope of a Line

rounding 1.1 Introduction to Whole Numbers

run 4.4 Understand Slope of a Line, 4.4 Understand Slope of a Line

S

scientific notation 6.7 Integer Exponents and Scientific Notation, 6.7 Integer Exponents and Scientific Notation

similar figures 8.7 Solve Proportion and Similar Figure Applications, 8.7 Solve Proportion and Similar Figure Applications

simple interest 3.2 Solve Percent Applications, 3.3 Solve Mixture Applications

simplification 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

simplified 1.5 Visualize Fractions

simplify an expression 1.2 Use the Language of Algebra

slope formula 4.4 Understand Slope of a Line, 4.4 Understand Slope of a Line

slope of a line 4.4 Understand Slope of a Line

slope–intercept form 4.5 Use the Slope–Intercept Form of an Equation of a Line

solution of a linear inequality 4.7 Graphs of Linear Inequalities

solution of an equation 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

solutions to a system of equations 5.1 Solve Systems of Equations by Graphing

square 1.8 The Real Numbers

square root 1.8 The Real Numbers

Square Root Property 10.1 Solve Quadratic Equations Using the Square Root Property, 10.1 Solve Quadratic Equations Using the Square Root Property

standard form 6.1 Add and Subtract Polynomials

subtraction 1.2 Use the Language of Algebra

subtraction property 1.3 Add and Subtract Integers

Subtraction Property of Equality 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality, 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality

sum and difference of cubes pattern 7.4 Factor Special Products

supplementary angles 5.4 Solve Applications with Systems of Equations

system of linear inequalities 5.6 Graphing Systems of Linear Inequalities

systems of linear equations 5.1 Solve Systems of Equations by Graphing

T

term 1.2 Use the Language of Algebra

trinomial 6.1 Add and Subtract Polynomials, 6.3 Multiply Polynomials, 6.3 Multiply Polynomials, 6.3 Multiply Polynomials, 6.4 Special Products, 6.6 Divide Polynomials

U

U.S. system 1.10 Systems of Measurement

V

variable 1.2 Use the Language of Algebra, 1.2 Use the Language of Algebra, 1.3 Add and Subtract Integers

variables 2.3 Solve Equations with Variables and Constants on Both Sides

vertex 10.5 Graphing Quadratic Equations, 10.5 Graphing Quadratic Equations

vertical line 4.2 Graph Linear Equations in Two Variables

vertices 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

W

whole number 1.1 Introduction to Whole Numbers

whole numbers 1.8 The Real Numbers

X

x- intercept 4.3 Graph with Intercepts

x- intercept of a line 4.3 Graph with Intercepts

x-coordinate 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

x-intercept 10.5 Graphing Quadratic Equations

x-intercepts of a parabola 10.5 Graphing Quadratic Equations

Y

y- intercept 4.3 Graph with Intercepts

y- intercept of a line 4.3 Graph with Intercepts

y-coordinate 4.1 Use the Rectangular Coordinate System, 4.1 Use the Rectangular Coordinate System

y-intercept 10.5 Graphing Quadratic Equations

Z

Zero Product Property 7.6 Quadratic Equations, 7.6 Quadratic Equations

2.6Solve a Formula for a Specific Variable

2.6Solve a Formula for a Specific Variable

2.7Solve Linear Inequalities

2.7Solve Linear Inequalities

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

3.6

3.6

Solve Applications with Linear Inequalities

Solve Applications with Linear Inequalities

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

4.6

4.6

Find the Equation of a Line

Find the Equation of a Line

4.7Graphs of Linear Inequalities

4.7Graphs of Linear Inequalities

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

5.6

5.6

Graphing Systems of Linear Inequalities

Graphing Systems of Linear Inequalities

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

6.7Integer Exponents and Scientific Notation

6.7Integer Exponents and Scientific Notation

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

7.6

7.6

Quadratic Equations

Quadratic Equations

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

8.6

8.6

Solve Rational Equations

Solve Rational Equations

8.7Solve Proportion and Similar Figure Applications

8.7Solve Proportion and Similar Figure Applications

8.8Solve Uniform Motion and Work Applications

8.8Solve Uniform Motion and Work Applications

8.9Use Direct and Inverse Variation

8.9Use Direct and Inverse Variation

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Solve Equations with Square Roots

Solve Equations with Square Roots

9.7Higher Roots

9.7Higher Roots

9.8Rational Exponents

9.8Rational Exponents

Chapter Review

Key Terms
Key Concepts

Chapter Review

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Chapter Review

Chapter Review

Key Terms
Key Concepts

Key Terms
Key Concepts

Exercises

Review Exercises
Practice Test

Exercises

Review Exercises
Practice Test

Chapter 9

Chapter 9

AnteriorChapter 10

Elementary Algebra, da OpenStax (Rice University), sob licença CC BY 4.0. Leitura gratuita em openstax.org. Mudamos o layout e retiramos as notas destinadas só a professores. A OpenStax não endossa este site.

Index · Elementary Algebra · Physics Playground