Index · Intermediate Algebra · Physics Playground

A

absolute value 1.2 Integers, 2.7 Solve Absolute Value Inequalities, 8.1 Simplify Expressions with Roots

absolute value equation 2.7 Solve Absolute Value Inequalities

absolute value inequality 2.7 Solve Absolute Value Inequalities

additive identity 1.5 Properties of Real Numbers

additive inverse 1.5 Properties of Real Numbers

amount of discount 2.2 Use a Problem Solving Strategy

annuity 12.3 Geometric Sequences and Series

area 2.3 Solve a Formula for a Specific Variable

arithmetic sequence 12.2 Arithmetic Sequences

Associative Property 1.5 Properties of Real Numbers

asymptote 10.2 Evaluate and Graph Exponential Functions

augmented matrix 4.5 Solve Systems of Equations Using Matrices

axis of symmetry 9.6 Graph Quadratic Functions Using Properties, 9.7 Graph Quadratic Functions Using Transformations

B

base 1.1 Use the Language of Algebra

binomial coefficient 12.4 Binomial Theorem

Binomial Theorem 12.4 Binomial Theorem, 12.4 Binomial Theorem

boundary line 3.4 Graph Linear Inequalities in Two Variables

break-even point 4.3 Solve Mixture Applications with Systems of Equations

C

Change-of-Base Formula 10.4 Use the Properties of Logarithms

circle 11.1 Distance and Midpoint Formulas; Circles, 11.1 Distance and Midpoint Formulas; Circles, 11.1 Distance and Midpoint Formulas; Circles, 11.1 Distance and Midpoint Formulas; Circles

coefficient 1.1 Use the Language of Algebra, 2.1 Use a General Strategy to Solve Linear Equations

coincident 4.1 Solve Systems of Linear Equations with Two Variables

common difference 12.2 Arithmetic Sequences

common logarithmic function 10.3 Evaluate and Graph Logarithmic Functions

common ratio 12.3 Geometric Sequences and Series

Commutative Property 1.5 Properties of Real Numbers

complementary angles 4.2 Solve Applications with Systems of Equations

completing the square 9.2 Solve Quadratic Equations by Completing the Square, 9.2 Solve Quadratic Equations by Completing the Square, 9.2 Solve Quadratic Equations by Completing the Square

complex conjugate pair 8.8 Use the Complex Number System

complex fraction 1.3 Fractions

complex number 8.8 Use the Complex Number System

complex number system 8.8 Use the Complex Number System

complex rational expression 7.3 Simplify Complex Rational Expressions

composition 10.1 Finding Composite and Inverse Functions, 10.4 Use the Properties of Logarithms

compound inequality 2.6 Solve Compound Inequalities, 2.6 Solve Compound Inequalities, 2.6 Solve Compound Inequalities

compound interest 10.2 Evaluate and Graph Exponential Functions

conditional equation 2.1 Use a General Strategy to Solve Linear Equations

conjugate pair 5.3 Multiply Polynomials

consecutive even integers 2.2 Use a Problem Solving Strategy

consecutive integers 2.2 Use a Problem Solving Strategy

consecutive odd integers 2.2 Use a Problem Solving Strategy

consistent system of equations 4.1 Solve Systems of Linear Equations with Two Variables

constant 1.1 Use the Language of Algebra

contradiction 2.1 Use a General Strategy to Solve Linear Equations

cost function 4.3 Solve Mixture Applications with Systems of Equations

critical point 7.6 Solve Rational Inequalities

critical points 9.8 Solve Quadratic Inequalities

D

degree of a constant 5.1 Add and Subtract Polynomials

degree of a polynomial 5.1 Add and Subtract Polynomials

degree of the polynomial equation 6.5 Polynomial Equations

degree one 6.5 Polynomial Equations

degree two 6.5 Polynomial Equations

denominator 1.3 Fractions

determinant 4.6 Solve Systems of Equations Using Determinants

difference of squares 8.8 Use the Complex Number System

discount rate 2.2 Use a Problem Solving Strategy

discriminant 9.3 Solve Quadratic Equations Using the Quadratic Formula, 9.6 Graph Quadratic Functions Using Properties

Distributive Property 1.5 Properties of Real Numbers, 8.4 Add, Subtract, and Multiply Radical Expressions, 8.8 Use the Complex Number System

divisible 1.1 Use the Language of Algebra

domain 3.5 Relations and Functions, 8.7 Use Radicals in Functions, 8.7 Use Radicals in Functions

double inequality 2.6 Solve Compound Inequalities

E

earthquake intensity 10.3 Evaluate and Graph Logarithmic Functions

ellipse 11.1 Distance and Midpoint Formulas; Circles, 11.3 Ellipses, 11.3 Ellipses, 11.3 Ellipses

equal 1.1 Use the Language of Algebra

equal sign 2.1 Use a General Strategy to Solve Linear Equations

equation 1.1 Use the Language of Algebra

equivalent fractions 1.3 Fractions

evaluate an expression 1.1 Use the Language of Algebra

exponent 1.1 Use the Language of Algebra

exponential decay 10.2 Evaluate and Graph Exponential Functions, 10.5 Solve Exponential and Logarithmic Equations

exponential function 10.2 Evaluate and Graph Exponential Functions

exponential growth 10.2 Evaluate and Graph Exponential Functions

expression 1.1 Use the Language of Algebra

extraneous solution 8.6 Solve Radical Equations

extraneous solution to a rational equation 7.4 Solve Rational Equations

F

factorial notation 12.1 Sequences, 12.4 Binomial Theorem

factoring 6.1 Greatest Common Factor and Factor by Grouping

factoring by substitution 6.2 Factor Trinomials

factors 1.1 Use the Language of Algebra

finite sequence 12.1 Sequences

FOIL 6.2 Factor Trinomials, 6.2 Factor Trinomials, 8.8 Use the Complex Number System

fraction 1.3 Fractions

function 3.5 Relations and Functions, 10.1 Finding Composite and Inverse Functions

G

GCF 6.1 Greatest Common Factor and Factor by Grouping, 6.2 Factor Trinomials, 6.3 Factor Special Products

General Strategy for Solving Linear Equations 2.1 Use a General Strategy to Solve Linear Equations, 2.1 Use a General Strategy to Solve Linear Equations

general term 12.1 Sequences

geometric sequence 12.3 Geometric Sequences and Series

gravity 8.6 Solve Radical Equations

greatest common factor 6.1 Greatest Common Factor and Factor by Grouping

grouping symbols 8.1 Simplify Expressions with Roots

H

half-life 10.5 Solve Exponential and Logarithmic Equations

horizontal line 3.1 Graph Linear Equations in Two Variables

horizontal line test 10.1 Finding Composite and Inverse Functions

hyperbola 11.1 Distance and Midpoint Formulas; Circles, 11.4 Hyperbolas

I

identity 2.1 Use a General Strategy to Solve Linear Equations

Identity Property of Addition 1.5 Properties of Real Numbers

Identity Property of Multiplication 1.5 Properties of Real Numbers

imaginary unit 8.8 Use the Complex Number System

inconsistent system of equations 4.1 Solve Systems of Linear Equations with Two Variables

infinite geometric series 12.3 Geometric Sequences and Series

infinite sequence 12.1 Sequences

integers 1.2 Integers

intercepts of a line 3.1 Graph Linear Equations in Two Variables

interest 2.2 Use a Problem Solving Strategy

interval notation 2.6 Solve Compound Inequalities

inverse function 10.1 Finding Composite and Inverse Functions

Inverse Property of Addition 1.5 Properties of Real Numbers

Inverse Property of Multiplication 1.5 Properties of Real Numbers

irrational number 1.4 Decimals

L

leading coefficient 9.2 Solve Quadratic Equations by Completing the Square

least common denominator 1.3 Fractions, 2.1 Use a General Strategy to Solve Linear Equations, 2.1 Use a General Strategy to Solve Linear Equations

least common multiple 1.1 Use the Language of Algebra

like radicals 8.4 Add, Subtract, and Multiply Radical Expressions

like terms 1.1 Use the Language of Algebra

linear equation 2.1 Use a General Strategy to Solve Linear Equations, 3.1 Graph Linear Equations in Two Variables, 4.4 Solve Systems of Equations with Three Variables

linear inequality 3.4 Graph Linear Inequalities in Two Variables

list price 2.2 Use a Problem Solving Strategy

M

mapping 3.5 Relations and Functions

mark-up 2.2 Use a Problem Solving Strategy

matrix 4.5 Solve Systems of Equations Using Matrices

maximum 9.6 Graph Quadratic Functions Using Properties

minimum 9.6 Graph Quadratic Functions Using Properties

minor of an entry 4.6 Solve Systems of Equations Using Determinants

monomial 5.1 Add and Subtract Polynomials

multiple 1.1 Use the Language of Algebra

multiplicative identity 1.5 Properties of Real Numbers

multiplicative inverse 1.5 Properties of Real Numbers

N

natural base 10.2 Evaluate and Graph Exponential Functions

natural exponential function 10.2 Evaluate and Graph Exponential Functions

natural logarithmic function 10.3 Evaluate and Graph Logarithmic Functions

negative number 1.2 Integers

number line 1.1 Use the Language of Algebra

numerator 1.3 Fractions

O

one-to-one 10.1 Finding Composite and Inverse Functions

One-to-One Property of Logarithmic Equations 10.5 Solve Exponential and Logarithmic Equations

opposite 1.2 Integers

order of operations 1.1 Use the Language of Algebra, 8.2 Simplify Radical Expressions

ordered pair 3.1 Graph Linear Equations in Two Variables

ordered triple 4.4 Solve Systems of Equations with Three Variables

origin 3.1 Graph Linear Equations in Two Variables

original cost 2.2 Use a Problem Solving Strategy

P

parabola 9.6 Graph Quadratic Functions Using Properties, 11.1 Distance and Midpoint Formulas; Circles, 11.2 Parabolas, 11.2 Parabolas, 11.2 Parabolas

parallel lines 3.2 Slope of a Line

partial sum 12.1 Sequences

Pascal’s Triangle 12.4 Binomial Theorem, 12.4 Binomial Theorem

percent 1.4 Decimals

percent change 2.2 Use a Problem Solving Strategy

perfect square 6.3 Factor Special Products, 8.1 Simplify Expressions with Roots

perimeter 2.3 Solve a Formula for a Specific Variable, 2.3 Solve a Formula for a Specific Variable

perpendicular lines 3.2 Slope of a Line

point-slope form 3.3 Find the Equation of a Line

polynomial 5.1 Add and Subtract Polynomials, 6.1 Greatest Common Factor and Factor by Grouping

polynomial equation 6.5 Polynomial Equations

polynomial function 5.1 Add and Subtract Polynomials

Power Property 5.2 Properties of Exponents and Scientific Notation, 8.3 Simplify Rational Exponents

Power Property for Exponents 8.3 Simplify Rational Exponents

Power Property of Logarithms 10.4 Use the Properties of Logarithms

prime 6.1 Greatest Common Factor and Factor by Grouping, 6.2 Factor Trinomials, 6.3 Factor Special Products, 6.4 General Strategy for Factoring Polynomials

prime factorization 1.1 Use the Language of Algebra

prime number 1.1 Use the Language of Algebra

principal 2.2 Use a Problem Solving Strategy

principal square root 1.4 Decimals, 8.1 Simplify Expressions with Roots

product 6.1 Greatest Common Factor and Factor by Grouping

Product of Binomial Squares Pattern 8.4 Add, Subtract, and Multiply Radical Expressions, 8.8 Use the Complex Number System

Product of Conjugates Pattern 8.5 Divide Radical Expressions, 8.8 Use the Complex Number System

Product Property 5.2 Properties of Exponents and Scientific Notation, 5.2 Properties of Exponents and Scientific Notation, 8.3 Simplify Rational Exponents

Product Property of Logarithms 10.4 Use the Properties of Logarithms

Product Property of Roots 8.2 Simplify Radical Expressions, 8.4 Add, Subtract, and Multiply Radical Expressions

Product to a Power 5.2 Properties of Exponents and Scientific Notation

Product to a Power Property 8.3 Simplify Rational Exponents

Properties of Exponents 5.2 Properties of Exponents and Scientific Notation

Properties of Negative Exponents 5.2 Properties of Exponents and Scientific Notation

proportion 7.5 Solve Applications with Rational Equations

Pythagorean Theorem 2.3 Solve a Formula for a Specific Variable, 9.5 Solve Applications of Quadratic Equations

Q

quadratic equation 6.5 Polynomial Equations, 6.5 Polynomial Equations, 6.5 Polynomial Equations, 9.1 Solve Quadratic Equations Using the Square Root Property, 9.2 Solve Quadratic Equations by Completing the Square, 9.2 Solve Quadratic Equations by Completing the Square, 9.3 Solve Quadratic Equations Using the Quadratic Formula, 9.8 Solve Quadratic Inequalities

quadratic form 9.4 Solve Quadratic Equations in Quadratic Form

Quadratic Formula 9.3 Solve Quadratic Equations Using the Quadratic Formula, 9.3 Solve Quadratic Equations Using the Quadratic Formula, 9.3 Solve Quadratic Equations Using the Quadratic Formula, 9.5 Solve Applications of Quadratic Equations, 9.6 Graph Quadratic Functions Using Properties

quadratic function 9.6 Graph Quadratic Functions Using Properties

quadratic inequality 9.8 Solve Quadratic Inequalities

Quotient Property 5.2 Properties of Exponents and Scientific Notation, 5.2 Properties of Exponents and Scientific Notation, 8.2 Simplify Radical Expressions, 8.2 Simplify Radical Expressions, 8.3 Simplify Rational Exponents

Quotient Property of Logarithms 10.4 Use the Properties of Logarithms

Quotient Property of Radical Expressions 8.5 Divide Radical Expressions

Quotient to a Negative Power 5.2 Properties of Exponents and Scientific Notation

Quotient to a Power Property 5.2 Properties of Exponents and Scientific Notation, 8.2 Simplify Radical Expressions

R

radical 9.3 Solve Quadratic Equations Using the Quadratic Formula

radical equation 8.6 Solve Radical Equations

radical expression 8.2 Simplify Radical Expressions, 8.5 Divide Radical Expressions

radical function 8.7 Use Radicals in Functions

radicand 9.3 Solve Quadratic Equations Using the Quadratic Formula

range 8.7 Use Radicals in Functions

rate of interest 2.2 Use a Problem Solving Strategy

rational equation 7.4 Solve Rational Equations

rational expression 7.1 Multiply and Divide Rational Expressions, 7.1 Multiply and Divide Rational Expressions

rational function 7.1 Multiply and Divide Rational Expressions

rational inequality 7.6 Solve Rational Inequalities

rational number 1.4 Decimals

rationalize the denominator 8.5 Divide Radical Expressions, 9.1 Solve Quadratic Equations Using the Square Root Property

rationalizing the denominator 8.5 Divide Radical Expressions

real number 1.4 Decimals

reciprocal 1.3 Fractions

relation 3.5 Relations and Functions

revenue 4.3 Solve Mixture Applications with Systems of Equations

right triangle 2.3 Solve a Formula for a Specific Variable

row-echelon form 4.5 Solve Systems of Equations Using Matrices

S

scientific notation 5.2 Properties of Exponents and Scientific Notation

sequence 12.1 Sequences

similar figures 7.5 Solve Applications with Rational Equations

simple interest 2.2 Use a Problem Solving Strategy

simplified rational expression 7.1 Multiply and Divide Rational Expressions

simplify an expression 1.1 Use the Language of Algebra

solution 2.1 Use a General Strategy to Solve Linear Equations, 3.1 Graph Linear Equations in Two Variables

solution to a linear inequality 3.4 Graph Linear Inequalities in Two Variables

solutions of a system of equations 4.1 Solve Systems of Linear Equations with Two Variables

solutions of the system of three linear equations with three variables 4.4 Solve Systems of Equations with Three Variables

speed 8.6 Solve Radical Equations

square 8.1 Simplify Expressions with Roots

square matrix 4.6 Solve Systems of Equations Using Determinants

square of a number 1.4 Decimals

square root 8.1 Simplify Expressions with Roots

square root of a number 1.4 Decimals

Square Root Property 9.1 Solve Quadratic Equations Using the Square Root Property, 9.1 Solve Quadratic Equations Using the Square Root Property, 9.1 Solve Quadratic Equations Using the Square Root Property, 9.2 Solve Quadratic Equations by Completing the Square, 9.2 Solve Quadratic Equations by Completing the Square

standard form 6.5 Polynomial Equations, 6.5 Polynomial Equations

standard form of a linear equation 3.1 Graph Linear Equations in Two Variables

standard form of a polynomial 5.1 Add and Subtract Polynomials

summation notation 12.1 Sequences

supplementary angles 4.2 Solve Applications with Systems of Equations

surface area 2.3 Solve a Formula for a Specific Variable

system of linear equations 4.1 Solve Systems of Linear Equations with Two Variables

system of linear inequalities 4.7 Graphing Systems of Linear Inequalities

system of nonlinear equations 11.5 Solve Systems of Nonlinear Equations

systems of equations 4.4 Solve Systems of Equations with Three Variables

T

temperature 2.3 Solve a Formula for a Specific Variable

term 1.1 Use the Language of Algebra

trinomial 5.1 Add and Subtract Polynomials, 6.2 Factor Trinomials, 6.3 Factor Special Products, 7.4 Solve Rational Equations, 9.3 Solve Quadratic Equations Using the Quadratic Formula

U

uniform motion 2.4 Solve Mixture and Uniform Motion Applications

union symbol 2.6 Solve Compound Inequalities

V

variable 1.1 Use the Language of Algebra, 2.1 Use a General Strategy to Solve Linear Equations

vertex 9.6 Graph Quadratic Functions Using Properties, 9.6 Graph Quadratic Functions Using Properties

vertical line 3.1 Graph Linear Equations in Two Variables

vertical line test 10.1 Finding Composite and Inverse Functions

volume 2.3 Solve a Formula for a Specific Variable

X

x-intercept 6.5 Polynomial Equations

Z

Zero Exponent Property 5.2 Properties of Exponents and Scientific Notation

zero of the function 6.5 Polynomial Equations

Zero Product Property 6.5 Polynomial Equations, 6.5 Polynomial Equations, 6.5 Polynomial Equations, 6.5 Polynomial Equations, 6.5 Polynomial Equations, 9.2 Solve Quadratic Equations by Completing the Square, 9.3 Solve Quadratic Equations Using the Quadratic Formula