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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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A Geometry Review • Angles Review of Absolute Value Properties and Definitions |
primitive
terms, undefined terms, point, curve, line, plane, ray, segment, line
segment, intersect, parallel lines, angle, straight angle, right angle,
perpendicular lines, acute angle, obtuse angle, reflex angle, rotation, initial
position, terminal position, vertex, adjacent angles, complementary angles,
supplementary angles, vertical angles, number, numeral, absolute value,
property, commutative property, definitions
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B Perimeter
• Area • Volume Surface Area Sectors of Circles |
perimeter,
circumference, radius, chord, diameter, irrational number, area, geometric
solid, right solid, right cylinder, right prism, oval cylinder, circular
cylinder, triangular prism, rectangular prism, cone, pyramid, surface area,
lateral surface area |
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1 Polygons • Triangles Transversals Proportional
Segments |
polygon,
convex, concave, regular polygon, irregular polygon, consecutive vertices,
consecutive sides, right triangle, acute triangle, obtuse triangle, scalene
triangle, isosceles triangle, equilateral triangle, transversal, scale factor
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2 Negative Exponents Product & Power
Theorems for Exponents Circle Relationships |
reciprocal,
definition of x-n, product theory for exponents, power theory for
exponents |
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3 Evaluation of Expressions Adding Like Terms |
algebraic
expression, variable, term, like terms |
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4 Distributive
Property Solutions
of Equations Change
Sides—Change Signs |
distributive
property, equivalent equations, addition rule for equations, multiplication/division
rule for equations, change sides-change signs, 5 steps for solving equations |
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5 Word Problems Fractional Parts of a Number |
fraction, ratio |
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6 Equations
with Decimal Numbers Consecutive Integer Word Problems |
decimal fraction,
consecutive integer |
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7 Percent Equations from Geometry |
percent, ratio
form **diagrams not needed for percent
problems |
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8 Polynomials Graphing
Linear Equations Intercept-Slope Method |
polynomial,
monomial, binomial, trinomial, 1st degree polynomial, 5 steps to
graph a 1st degree polynomial, intercept-slope method |
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9 Percent Word Problems |
No new terms |
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10 Pythagorean Theorem |
theorem,
Pythagorean Theorem |
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11 Addition of Fractions Inscribed Angles |
Denominator-numerator
same-quantity rule, inscribed angle |
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12 Equation of a Line |
linear
equation, slope-intercept form, rise/run |
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13 Substitution Area of an Isosceles Triangle |
Substitution
Axiom, bisect, median, perpendicular bisector |
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14 Finding the Equation of a Line |
y=mx + b |
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15 Elimination |
elimination |
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16 Multiplication of Polynomials Division of Polynomials |
No new terms |
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17 Subscripted Variables Angle Relationships |
No new terms |
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18 Ratio Word Problems Similar Triangles |
Ratio,
proportion, cross products, cross-multiply, similar triangles, corresponding
sides, scale factor |
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19 Value Word Problems AA Means AAA |
AA means AAA |
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20 Simplification of Radicals Line Parallel to a Given Line |
product of square
roots theorem, parallel line |
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21 Scientific Notation Two Statements of Equality |
Scientific
Notation |
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22 Uniform
Motion with
Equal Distances Similar
Triangles & Proportions |
Uniform Motion
Type 1 (D1=D2) |
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23 Graphical
Solutions |
No new terms |
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24 Fractional Equations Overlapping Triangles |
Least Common
Multiple |
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25 Monomial Factoring Cancellation • Parallel Lines |
factors,
factoring, cancellation, inverse operations, parallel lines |
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26 Trinomial Factoring Overlapping Right Triangles |
trinomial
factoring |
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27 Rational
Expressions |
rational
expression, ratio |
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28 Complex Fractions Rationalizing the Denominator |
Denominator-numerator
same-quantity rule, Rationalizing the Denominator |
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29 Uniform Motion Problems: D1 + D2 =
k |
Uniform Motion
Type 2 (D1 + D2 = k) |
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30 Deductive Reasoning • Corresponding Interior & Exterior
Angles in Triangles |
deductive reasoning,
major premise, conclusion, if-then statement, syllogism, valid argument,
axioms, postulates, theorems, definitions, names, Euclid’s 10 Postulates,
corresponding interior angles, corresponding exterior angles |
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31 Negative Reciprocals Perpendicular Lines Remote Interior Angles |
negative
reciprocal, perpendicular lines, interior angles, remote interior angles |
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32 Quotient
Theorem for Square Roots • Congruency • Congruent
Triangles |
quotient
theorem for square roots, congruent, congruent triangles, CPCTC |
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33 Major Rules of Algebra Complex Fractions |
Major Rules of
Algebra, Denominator-numerator same-quantity rule, complex fractions |
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34 Uniform Motion Problems: D1 + k = D2 |
Uniform Motion
Type 3 (D1 + k = D2) |
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35 Angles
in Polygons Inscribed
Quadrilaterals Fractional Exponents |
interior angles
in a polygon, sum of exterior angles in a polygon, inscribed quadrilateral,
fractional exponents |
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36 Contrived Problems Multiplication of Rational Expressions Division of Rational Expressions |
Ratio, rational
expression |
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37 Chemical Compounds Parallelograms |
Gram atomic
weight, gram molecular weight, parallelograms (4 properties of), CPCTC |
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38 Powers of Sums Solving by Factoring Only Zero Equals Zero |
Zero factor
theorem, only zero equals zero |
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39 Difference of Two Squares
Parallelogram Proof Rhombus |
difference of 2
squares, parallelogram proof, rhombus |
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40 Abstract
Fractional Equations |
Steps to solve
equations, abstract fractional equations |
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41 Units • Unit
Multipliers |
Units, unit multipliers |
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42 Estimating with Scientific Notation |
No new terms |
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43 Sine, Cosine, and Tangent Inverse
Functions |
hypotenuse,
sine, cosine, tangent, degree mode, trigonometric function, inverse functions
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44 Solving Right Triangles |
estimate,
unknowns, solving right triangles |
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45 Difference of Two Squares Theorem |
Difference of 2
Squares Theorem |
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46 More on Radical Expressions Radicals
to Fractional Exponents |
No new terms |
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47 Rate Unit Conversions More on Fractional Exponents |
No new terms |
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48 Radical Equations |
definition of
the square root, isolating the radical |
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49 Linear
Intercepts Transversals |
linear
intercept, transversal |
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50 Quadratic Equations Completing the
Square |
quadratic
equations, completing the square, trinomials |
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51 Imaginary
Numbers Product of Square Roots Theorem •
Euler’s Notation Complex Numbers |
principal or
(+) square root, definition of the square root, imaginary number, proof of
the square roots theorem, Euler’s notation, complex numbers |
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52 Chemical Mixture Problems, Type A |
chemical
mixture type A, mixture containers |
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53 Metric Unit Conversions English Units to Metric Units Weight Combination by Percent |
Metric units,
English Units |
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54 Polar Coordinates Similar Triangles |
rectangular
coordinates, polar coordinates, vector |
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55 Advanced Abstract Equations Word Problems and Quadratic
Equations |
Advanced
Abstract Equations |
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56 Angles in Circles • Proofs |
major arc,
minor arc, secant, chord, tangent, inscribed angle, point of tangency,
formulas for outside intersection and inside intersection |
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57 Ideal Gas Laws |
Ideal Gas Law,
Pascal (Pa), Kelvin (K), atmosphere (atm) |
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58 Lead Coefficients • More on
Completing the Square |
coefficient,
lead coefficient, unity coefficient |
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59 Experimental Data Simultaneous Equations with Fractions & Decimals Rectangular Form to Polar Form |
Experimental
Data & Simultaneous Equations |
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60 Direct and Inverse Variation |
direct
proportionality, inverse proportionality, constant of proportionality |
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61 Chemical Mixture Problems, Type B |
Chemical
Mixture Type 2, evaporation |
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62 Complex Roots of Quadratic Equations |
Complex roots |
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63 Addition of Vectors |
Addition of
Vectors |
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64 Complex Fractions Complex Numbers |
complex fraction, complex number, radicands, Euler’s
notation |
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65 Advanced Substitution |
Advanced
Substitution |
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66 Signs of Fractions 30°-60°-90° Triangles |
Signs of
fractions, 30-60-90 triangles |
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67 Radical Denominators |
conjugate |
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68 Scientific Calculator Scientific Notation Powers and Roots |
No new terms |
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69 Gas Law Problems |
Gas Laws |
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70 Advanced Abstract Equations |
Advanced
Abstract Equations |
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71 Quadratic Formula |
Quadratic
Formula |
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72 Lines from Experimental Data Negative
Angles |
Lines from
Experimental Data, Negative Angles |
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73 More on Radical Denominators |
Conjugate |
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74 Uniform Motion with Both Distances Given |
No new terms |
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75 Factorable Denominators and Sign Changes |
No new terms |
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76 Using Both Substitution and
Elimination • Negative Vectors |
negative
vectors, negative magnitudes |
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77 Advanced Radical Equations Multiple
Radicals |
No new terms |
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78 Force Vectors at a Point |
No new terms |
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79 Metric Volume 45°-45°-90° Triangles |
45-45-90
triangle, liter (L), milliliter (mL), cubic centimeter (cm3) |
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80 Direct Variation as a Ratio Inverse
Variation as a Ratio |
No new terms |
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81 Complex Numbers & Real Numbers •
Products of Complex Conjugates Division of Complex Numbers |
complex
numbers, standard form for complex numbers |
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82 Algebraic Simplifications |
No new terms |
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83 Product Rule with Variables Power
Rule with Variables |
linear
equation, dependent system, consistent system, inconsistent system |
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84 Degree of Equations Solutions to Systems of Equations |
ordered triple,
independent equations, consistent equations |
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85 Systems of Nonlinear Equations |
nonlinear equations,
conic section, circle, parabola, ellipse, hyperbola, nonlinear system |
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86 Greater
Than Trichotomy & Transitive Axioms •
Irrational Roots |
“greater than”,
ordered set, trichotomy axiom, transitive axiom, irrational root |
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87 Slope Formula |
slope, slope
formula |
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88 The Distance Formula The Relationship PV = nRT |
distance
formula, PV=nRT |
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89 Conjunctions • Disjunctions Products
of Chords & Secants |
“and,”
conjunction, “or,” disjunction, products of chords and secants (rules for) |
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90 Systems of Three Equations |
ordered pair,
ordered triple |
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91 Linear
Inequalities Greater
Than or Equal To; Less Than or Equal To Systems of Linear Inequalities |
linear
inequalities, “greater than or equal to,” “less than or equal to,” systems of
nonlinear equations |
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92 Boat-in-the-River Problems |
“Boat in the
River,” upstream, downstream |
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93 The Discriminant |
Discriminant.
Discriminates, rules for the discriminant |
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94 Dependent and Independent Variables • Functions Functional Notation |
independent
variable, dependent variable, pairs or matches, function, mapping, domain,
range, rules for functions, unique, image, functional notation |
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95 More Nonlinear Systems |
No new terms |
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96 Joint and Combined Variation More on
Irrational Roots |
joint variation |
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97 Advanced Substitution |
No new terms |
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98 Relationships of Numbers |
No new terms |
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99 Absolute-Value Inequalities Absolute-Value Conjunctions Absolute-Value Disjunctions Negative
Numbers & Absolute Value |
absolute value
inequalities, absolute value conjunctions, absolute value disjunctions,
negative numbers & absolute value |
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100 Graphs of Parabolas |
graphs of
parabolas, axis of symmetry, parabola |
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