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Problem Set |
Terms and
Concepts*
*please note that some terms may
repeat in multiple lessons; for geometry terms, please include
all relevant formulas with the definitions |
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1 Addition and Subtraction of Fractions
Lines and Segments |
mixed number,
straight line, line segment, width, ends
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2 Angles Polygons Triangles Quadrilaterals |
intersect, point of
intersection, parallel lines, perpendicular, right angle, straight angle,
acute angle, obtuse angle, polygon, # of sides = # of vertices, concave
polygon, convex polygon, equilateral polygon, equiangular polygon, regular
polygon, tick marks, right triangle, acute triangle, obtuse triangle,
equiangular triangle, isosceles triangle, equilateral triangle, scalene
triangle, equal sides have equal angles, parallelogram, trapezoid, rhombus,
square
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3 Perimeter Circumference |
perimeter,
radius, diameter, circumference, P, irrational number
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4 Review of Arithmetic |
number,
numeral, value, natural numbers, counting numbers, positive number, real
number, positive real number, negative number, negative real number, signed
number, number line, origin, graph, opposite of a number, addend, sum,
minuend, subtrahend, difference, factor, product, dividend, divisor,
quotient, numerator, denominator, unit multipliers, exact relationship
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5 Sets Absolute Value Addition of Signed Numbers |
set, whole
numbers, integers, absolute value, commutative property for addition
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6 Rules for Addition Adding More Than Two Numbers
Inserting Parentheses Mentally Definition of Subtraction |
rules for
addition of signed numbers, definition of subtraction
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7 The Opposite of a Number Simplifying More Difficult Notations |
opposite of a
number
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8 Area |
area, square
unit, altitude, height
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9 Rules for Multiplication of Signed
Numbers Inverse Operations Rules for Division of Signed Numbers Summary |
rules for
multiplication of signed numbers, inverse operations, rules for division of
signed numbers, like signs, unlike signs
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10 Division by Zero Exchange of
Factors in Multiplication Conversions of Area |
undefined,
indeterminate, commutative property of multiplication
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11 Reciprocal and Multiplicative Inverse
Order of Operations Identifying Multiplication and Addition |
reciprocal,
multiplicative inverse, order of operations
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12 Symbols of Inclusion Order of Operations |
symbols of
inclusion
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13 Multiple Symbols of Inclusion More on
Order of Operations Products of Signed Numbers |
No new terms
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14 Evaluation of Algebraic Expressions |
number, idea,
numeral, value, numerical expression, algebraic expression, mathematical
expression, unknowns, constant
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15 Surface Area |
geometric solids,
right geometric solids, bases, right prism, surface area, lateral surface
area
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16 More Complicated Evaluations |
No new terms
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17 Factors and Coefficients Terms The
Distributive Property |
indicated
product, coefficient, numerical coefficient, literal coefficient, term
distributive property of real numbers
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18 Like Terms Addition of Like Terms |
like terms
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19 Exponents Roots Powers of Negative Numbers Evaluation
of Powers |
exponential
notation, x to the nth, base, exponent, power, radical sign,
root, radicand, index
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20 Volume |
geometric solid,
volume, cubic unit, cube, right solids, bases, right prism
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21 Product Rule for Exponents Addition
of Like Terms with Exponents |
product rule
for exponents
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22 Review of Numerical and Algebraic
Expressions Statements and Sentences Conditional
Equations |
numerical
expression, algebraic expression, sentence, algebraic sentence, equation,
inequalities, conditional equations, solutions, roots, satisfy the equation
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23 Equivalent Equations Additive Property of Equality |
equivalent
equations, additive property of equality
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24 Multiplicative Property of Equality |
multiplicative
property of equality
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25 Solution of Equations |
No new terms
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26 More Complicated Equations |
4 steps for solving equations
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27 More on the Distributive Property
Simplifying Decimal Equations |
No new terms
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28 Fractional Parts of Numbers
Functional Notation |
functions,
functional notation, function of x
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29 Negative Exponents Zero Exponents |
definition of x-n,
product rule for exponents, definition of x0
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30 Algebraic Phrases Decimal Parts of a Number |
No new terms
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31 Equations with Parentheses |
5 steps for solving equations
with parentheses
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32 Word Problems |
No new terms
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33 Products of Prime Factors Statements
About Unequal
Quantities |
composite number,
prime number, prime factor
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34 Greatest Common Factor (GCF) |
numerical factor,
literal factor, algebraic factor, greatest common factor (GCF)
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35 Factoring the Greatest Common Factor
(GCF) Canceling |
factoring,
cancellation
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36 Distributive Property of Rational
Expressions that Contain Positive Exponents Minus Signs and Negative
Exponents |
rational
expressions, minus sign vs. negative exponent
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37 Inequalities Greater Than and Less Than Graphical
Solutions of Inequalities |
inequality,
solution of inequalities, satisfies the inequality, greater than, less than
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38 Ratio Problems |
cross
products
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39 Trichotomy Axiom Negated Inequalities Advanced Ratio Problems |
trichotomy axiom
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40 Quotient Rule for Exponents
Distributive Property of Rational Expressions that Contain Negative Exponents |
quotient rule
for exponents, equivalent expressions
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41 Addition of Like Terms in Rational
Expressions Two-Step Problems |
No new terms
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42 Solving Multivariable Equations |
No new terms
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43 Least Common Multiple (LCM) Least Common Multiples of Algebraic
Expressions |
least common
multiple (LCM)
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44 Addition of Rational Expressions with
Equal Denominators Addition of Rational Expressions with
Unequal Denominators |
denominator-numerator
same-quantity rule, least common denominator
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45 Range, Median, Mode, and Mean |
range,
median, mode, bimodal, mean, statistics, measures of central tendency
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46 Conjunctions |
conjunction
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47 Percents Less Than 100 Percents Greater Than 100 |
base,
percentage, rate
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48 Polynomials Degree Addition of Polynomials |
algebraic expression,
mathematical expression, terms, polynomial, axn,
3 requirements for a polynomial, monomial, binomial, trinomial, definition of
a polynomial in 1 unknown, definition of a polynomial in 1 or more unknowns,
degree of a term, degree of a polynomial
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49 Multiplication of Polynomials |
rules for
multiplying polynomials
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50 Polynomial Equations Ordered Pairs Cartesian Coordinate System |
degree of a term, degree of a
polynomial, assigned, independent variable, depends, dependent variable, x
axis, horizontal axis, y axis, vertical axis, quadrant I, quadrant II,
quadrant III, quadrant IV, Cartesian coordinate, Cartesian Coordinate System,
graph, coordinate, abscissa, ordinate
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51 Graphs of Linear Equations Graphs of
Vertical and Horizontal Lines |
linear
equation, graph of a mathematical line
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52 More on Addition of Rational
Expressions with Unequal Denominators Overall Average |
denominator-numerator
same-quantity rule, overall average
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53 Power Rule for Exponents Conversions
of Volume |
power rule
for exponents
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54 Substitution Axiom Simultaneous Equations Solving Simultaneous Equations by
Substitution |
substitution axiom,
systems of simultaneous equations
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55 Complex Fractions Division Rule for
Complex Fractions |
denominator-numerator
same-quantity rule, complex fraction, reciprocal of the denominator, division
rule for complex fractions
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56 Finite and Infinite Sets Membership
in a Set Rearranging Before Graphing |
finite,
infinite, finite set, infinite set
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57 Addition of Algebraic Expressions
with Negative Exponents |
No new terms
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58 Percent Word Problems |
No new terms
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59 Rearranging Before Substitution |
No new terms
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60 Geometric Solids Prisms and Cylinders |
geometric solid,
prism, bases, lateral faces, lateral edges, altitude, height, right prism,
right triangular prism, right rectangular prism, right pentagonal prism,
right trapezoidal prism, cylinder, lateral surface, right cylinder, lateral
surface area
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61 Subsets Subsets of the Set of Real Numbers |
subset, proper
subset, improper subset, empty set, null set, mutually exclusive
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62 Square Roots Higher Order Roots Evaluating Using Plus or Minus |
definition of
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63 Product of Square Roots Rule
Repeating Decimals |
Products of
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64 Domain Additive Property of Inequality |
domain,
additive property of inequality
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65 Addition of Radical Expressions
Weighted Average |
weight,
weighted average
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66 Simplification of Radical Expressions Square Roots of Large Numbers |
No new terms
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67 Review of Equivalent Equations Elimination |
elimination,
elimination method
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68 More About Complex Fractions |
rational number,
rational expression, denominator-numerator same-quantity rule
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69 Factoring Trinomials |
axn,
quadratic trinomials in x
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70 Probability Designated Order |
probability, experiments,
outcomes, sample space, probability of a particular event, independent event,
designated order, tree diagram
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71 Trinomials with Common Factors
Subscripted Variables |
No new terms
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72 Factors That Are Sums Pyramids and Cones |
pyramid, base, lateral faces,
vertex, lateral edges, axis, altitude, height, right pyramid, regular
pyramid, slant height, regular triangular pyramid, right regular square
pyramid, right regular rectangular pyramid, regular pentagonal pyramid, cone,
lateral surface, axis, altitude, right, right cone, right circular cone,
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73 Factoring the Difference of Two Squares Probability Without Replacement |
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74 Scientific Notation |
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75 Writing the Equation of a Line
Slope-Intercept Method of Graphing |
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76 Consecutive Integers |
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77 Consecutive Odd and Consecutive Even
Integers Fraction and Decimal Word Problems |
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78 Rational Equations |
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79 Systems of Equations with Subscripted
Variables |
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80 Operations with Scientific Notation |
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81 Graphical Solutions Inconsistent
Equations Dependent Equations |
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82 Evaluating Functions Domain and Range |
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83 Coin Problems |
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84 Multiplication of Radicals Functions |
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85 Stem-and-Leaf Plots Histograms |
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, radicand, non-repeating decimal number, definition of 
, 
, quadratic equation|
86 Division of Polynomials |
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87 More on Systems of Equations Tests
for Functions |
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88 Quadratic Equations Solution of
Quadratic Equations by Factoring |
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89 Value Problems |
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90 Word Problems with Two Statements of Equality |
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91 Multiplicative Property of Inequality
Spheres |
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92 Uniform Motion Problems About Equal Distances |
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93 Products of Rational Expressions
Quotients of Rational Expressions |
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94 Uniform Motion Problems of the Form D1
+ D2 = N |
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95 Graphs of Non-Linear Functions
Recognizing Shapes of Various Non-Linear Functions |
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96 Difference of Two Squares Theorem |
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97 Angles & Triangles Pythagorean
Theorem Pythagorean Triples |
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98 Distance Between Two Points Slope
Formula |
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99 Uniform Motion - Unequal Distances |
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100 Place Value Rounding Numbers |
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