Sumário
- Preface
2The Language of Algebra
8Solving Linear Equations
- Introduction to Solving Linear Equations
- 8.1Solve Equations Using the Subtraction and Addition Properties of Equality
- 8.2Solve Equations Using the Division and Multiplication Properties of Equality
- 8.3Solve Equations with Variables and Constants on Both Sides
- 8.4Solve Equations with Fraction or Decimal Coefficients
- ACumulative Review
- BPowers and Roots Tables
- CGeometric Formulas
- Index
Index
Index
A
absolute value
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.1 Introduction to Integers
absolute value symbols
3.1 Introduction to Integers
addends
1.2 Add Whole Numbers
Addition Property of Equality
2.3 Solving Equations Using the Subtraction and Addition Properties of Equality,
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
additive identity
7.4 Properties of Identity, Inverses, and Zero,
7.4 Properties of Identity, Inverses, and Zero,
7.4 Properties of Identity, Inverses, and Zero
additive inverse
7.4 Properties of Identity, Inverses, and Zero,
7.4 Properties of Identity, Inverses, and Zero
algebraic expression
2.2 Evaluate, Simplify, and Translate Expressions
area
1.4 Multiply Whole Numbers,
5.3 Decimals and Fractions,
5.7 Simplify and Use Square Roots,
9.4 Use Properties of Rectangles, Triangles, and Trapezoids,
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
area of a trapezoid
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
B
C
circumference
5.3 Decimals and Fractions,
5 Key Terms,
9.5 Solve Geometry Applications: Circles and Irregular Figures,
9.6 Solve Geometry Applications: Volume and Surface Area
coefficients
2.2 Evaluate, Simplify, and Translate Expressions
Commutative Property
10.1 Add and Subtract Polynomials,
10.5 Integer Exponents and Scientific Notation
Commutative Property of Addition
2.2 Evaluate, Simplify, and Translate Expressions,
7.2 Commutative and Associative Properties
Commutative Property of Multiplication
7.2 Commutative and Associative Properties
complementary angles
9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
complex fraction
4.3 Multiply and Divide Mixed Numbers and Complex Fractions
consecutive integers
9.1 Use a Problem Solving Strategy
constant
2.1 Use the Language of Algebra
constants
8.3 Solve Equations with Variables and Constants on Both Sides,
8.3 Solve Equations with Variables and Constants on Both Sides,
8.3 Solve Equations with Variables and Constants on Both Sides
coordinate
1.1 Introduction to Whole Numbers
coordinate grid
11.4 Understand Slope of a Line
counting numbers
1.1 Introduction to Whole Numbers,
1.1 Introduction to Whole Numbers,
3.1 Introduction to Integers
cross products
6.5 Solve Proportions and their Applications
D
decimal
5.1 Decimals,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations
decimal notation
5.1 Decimals
decimal point
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations,
5.2 Decimal Operations
degree of a constant
10.1 Add and Subtract Polynomials
degree of a polynomial
10.1 Add and Subtract Polynomials
degree of a term
10.1 Add and Subtract Polynomials
denominator
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.2 Multiply and Divide Fractions,
4.2 Multiply and Divide Fractions,
4.2 Multiply and Divide Fractions,
4.3 Multiply and Divide Mixed Numbers and Complex Fractions,
4.4 Add and Subtract Fractions with Common Denominators,
4.4 Add and Subtract Fractions with Common Denominators
diameter
5.3 Decimals and Fractions
difference
1.3 Subtract Whole Numbers
Distributive Property
7.3 Distributive Property,
7.3 Distributive Property,
7.3 Distributive Property,
7.4 Properties of Identity, Inverses, and Zero,
10.3 Multiply Polynomials,
10.3 Multiply Polynomials,
10.3 Multiply Polynomials,
10.3 Multiply Polynomials,
10.6 Introduction to Factoring Polynomials
dividend
1.5 Divide Whole Numbers
dividing integers
3.4 Multiply and Divide Integers
divisibility tests
2.4 Find Multiples and Factors
divisible
2.4 Find Multiples and Factors
Division Property of Equality
3.5 Solve Equations Using Integers; The Division Property of Equality,
8.2 Solve Equations Using the Division and Multiplication Properties of Equality
divisor
1.5 Divide Whole Numbers
E
elevation
3.1 Introduction to Integers
equal sign
2.1 Use the Language of Algebra
equation
2.1 Use the Language of Algebra,
2.1 Use the Language of Algebra,
3.5 Solve Equations Using Integers; The Division Property of Equality,
3.5 Solve Equations Using Integers; The Division Property of Equality,
3.5 Solve Equations Using Integers; The Division Property of Equality,
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality,
9.2 Solve Money Applications
equilateral triangle
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
equivalent decimals
5.1 Decimals
Equivalent Fractions Property
10.4 Divide Monomials
exponential notation
10.2 Use Multiplication Properties of Exponents
F
factors
2.4 Find Multiples and Factors
FOIL method
10.3 Multiply Polynomials
fraction tiles
4.1 Visualize Fractions
frequency
5.5 Averages and Probability
G
geoboard
11.4 Understand Slope of a Line
H
I
improper fraction
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.3 Multiply and Divide Mixed Numbers and Complex Fractions
inequality
2.1 Use the Language of Algebra
integers
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.2 Add Integers,
7.1 Rational and Irrational Numbers,
7.1 Rational and Irrational Numbers
intercept of the line
11.3 Graphing with Intercepts
irrational number
7.1 Rational and Irrational Numbers
irrational numbers
7.1 Rational and Irrational Numbers
irregular figure
9.5 Solve Geometry Applications: Circles and Irregular Figures
isosceles triangle
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
L
ladder method
2.5 Prime Factorization and the Least Common Multiple
leading coefficient
10.6 Introduction to Factoring Polynomials
least common denominator
8.4 Solve Equations with Fraction or Decimal Coefficients
Least Common Denominator
6.5 Solve Proportions and their Applications
least common denominator (LCD)
4.5 Add and Subtract Fractions with Different Denominators,
4.5 Add and Subtract Fractions with Different Denominators
least common multiple
2.5 Prime Factorization and the Least Common Multiple,
10.6 Introduction to Factoring Polynomials
like terms
2.2 Evaluate, Simplify, and Translate Expressions,
2.2 Evaluate, Simplify, and Translate Expressions
linear equation
8.3 Solve Equations with Variables and Constants on Both Sides,
11.3 Graphing with Intercepts,
11.3 Graphing with Intercepts
linear equation in one variable
11.1 Use the Rectangular Coordinate System
linear measure
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
M
median
5.5 Averages and Probability
mixed number
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.3 Multiply and Divide Mixed Numbers and Complex Fractions,
4.6 Add and Subtract Mixed Numbers,
4.6 Add and Subtract Mixed Numbers
monomial
10.1 Add and Subtract Polynomials,
10.2 Use Multiplication Properties of Exponents,
10.3 Multiply Polynomials
multiple
2.4 Find Multiples and Factors
multiple of a number
2.4 Find Multiples and Factors
Multiplication Property of Equality
5.4 Solve Equations with Decimals,
6.5 Solve Proportions and their Applications,
8.2 Solve Equations Using the Division and Multiplication Properties of Equality,
8.4 Solve Equations with Fraction or Decimal Coefficients
multiplicative identity
7.4 Properties of Identity, Inverses, and Zero,
7.4 Properties of Identity, Inverses, and Zero
multiplicative inverse
7.4 Properties of Identity, Inverses, and Zero,
7.4 Properties of Identity, Inverses, and Zero
multiplying integers
3.4 Multiply and Divide Integers
N
negative exponent
10.5 Integer Exponents and Scientific Notation
negative numbers
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.1 Introduction to Integers,
3.1 Introduction to Integers
number line
1.1 Introduction to Whole Numbers,
3.1 Introduction to Integers,
3.1 Introduction to Integers
number problems
9.1 Use a Problem Solving Strategy
O
operations
2.1 Use the Language of Algebra
order of operations
2.1 Use the Language of Algebra,
3.1 Introduction to Integers,
10.5 Integer Exponents and Scientific Notation,
10.5 Integer Exponents and Scientific Notation
P
partial product
1.4 Multiply Whole Numbers
percent
6.1 Understand Percent,
6.1 Understand Percent,
6.1 Understand Percent,
6.1 Understand Percent,
6.1 Understand Percent,
6.2 Solve General Applications of Percent
percent decrease
6.2 Solve General Applications of Percent
percent increase
6.2 Solve General Applications of Percent
percent proportion
6.5 Solve Proportions and their Applications
place value system
1.1 Introduction to Whole Numbers
Point-Plotting Method
11.2 Graphing Linear Equations
point-slope method
11.4 Understand Slope of a Line
polynomial
10.1 Add and Subtract Polynomials
positive number
3.1 Introduction to Integers
Power Property
10.5 Integer Exponents and Scientific Notation
prime factor
2.4 Find Multiples and Factors
prime factorization
2.5 Prime Factorization and the Least Common Multiple
prime number
2.4 Find Multiples and Factors
principal
6.4 Solve Simple Interest Applications
principal square root
5.7 Simplify and Use Square Roots
probability
5.5 Averages and Probability,
5.5 Averages and Probability,
5.5 Averages and Probability
Product Property of Exponents
10.2 Use Multiplication Properties of Exponents,
10.5 Integer Exponents and Scientific Notation
Product to a Power Property
10.5 Integer Exponents and Scientific Notation
proper fraction
4.1 Visualize Fractions,
4.1 Visualize Fractions,
4.6 Add and Subtract Mixed Numbers
proportion
6.5 Solve Proportions and their Applications,
6.5 Solve Proportions and their Applications
Pythagorean Theorem
9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
Q
Quotient Property
10.5 Integer Exponents and Scientific Notation
Quotient Property of Exponents
10.4 Divide Monomials,
10.5 Integer Exponents and Scientific Notation,
10.5 Integer Exponents and Scientific Notation
R
radius
5.3 Decimals and Fractions
rational numbers
7.1 Rational and Irrational Numbers
real numbers
7.1 Rational and Irrational Numbers
rectangular solid
9.6 Solve Geometry Applications: Volume and Surface Area
rise
11.4 Understand Slope of a Line,
11.4 Understand Slope of a Line,
11.4 Understand Slope of a Line
round
6.1 Understand Percent
S
sales tax
6.3 Solve Sales Tax, Commission, and Discount Applications,
6.3 Solve Sales Tax, Commission, and Discount Applications
signed numbers
3.4 Multiply and Divide Integers
simple interest
6.4 Solve Simple Interest Applications,
6.4 Solve Simple Interest Applications,
6.4 Solve Simple Interest Applications,
6.4 Solve Simple Interest Applications,
6 Key Concepts
slope
11.4 Understand Slope of a Line,
11.4 Understand Slope of a Line,
11.4 Understand Slope of a Line
slope of the line
11.4 Understand Slope of a Line
solution
2.3 Solving Equations Using the Subtraction and Addition Properties of Equality,
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality,
8.3 Solve Equations with Variables and Constants on Both Sides,
11.1 Use the Rectangular Coordinate System
solution of an equation
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
solution to an equation
2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
solution to the linear equation
11.1 Use the Rectangular Coordinate System
square root
5.7 Simplify and Use Square Roots,
5.7 Simplify and Use Square Roots,
5.7 Simplify and Use Square Roots,
5.7 Simplify and Use Square Roots,
5.7 Simplify and Use Square Roots
standard form
10.1 Add and Subtract Polynomials
subscripts
11.4 Understand Slope of a Line
subtracting negative numbers
3.3 Subtract Integers
Subtraction Property
3.3 Subtract Integers
Subtraction Property of Equality
5.4 Solve Equations with Decimals,
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
supplementary angles
9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
T
U
V
variable
2.1 Use the Language of Algebra,
2.2 Evaluate, Simplify, and Translate Expressions,
3.2 Add Integers,
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality,
8.3 Solve Equations with Variables and Constants on Both Sides,
8.3 Solve Equations with Variables and Constants on Both Sides,
8.3 Solve Equations with Variables and Constants on Both Sides
W
X
x-coordinate
11.1 Use the Rectangular Coordinate System
Y
y-coordinate
11.1 Use the Rectangular Coordinate System
y-intercept
11.4 Understand Slope of a Line
Z
zero exponent
10.4 Divide Monomials