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Minnesota MTLE Middle Level Math Prep Course - Get Ready To Pass The Minnesota MTLE Middle Level Math Test!
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STUDY TIME TO PASS: What Is Required / FAST TRACK
Chapter 1A: Basic Math Concepts and Review
1A.1 Factors and Multiples, Factorization, Prime and Composite Numbers and Divisibility Rules
1A.2 Place Value
1A.3 Basic Math Operations and Number Properties
1A.4 Decimals and Estimation & Rounding
1A.5 Venn Diagrams and An Introduction to Sets
1A.6 Sequences and Patterns
Chapter Review Notes
Chapter 1A Quiz
Quiz Key 1A
Chapter 1B: Basic Algebra (Review)
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Distributive Property
1.5 Simplifying by Combining Like Terms
1.6 One Step Equations
1.7 Solving Two Step Equations
1.8 Solving Multi-Step Equations
1.9 Formulas and Literal Equations
1.10 Linear Inequalities
1.11 Compound Inequalities
1.12 Introduction to Absolute Value
1.13 Solving Absolute Value Equations
1.14 Absolute Value Inequalities
1.15 Graphing Absolute Value Equations
Extra Practice - 4 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 4 Note Files (Scroll Down To See All)
Chapter Quiz 1-1
Chapter Quiz 1-2
Chapter Quiz 1-3
Chapter Quiz 1-4
Quiz Key 1-1
Quiz Key 1-2
Quiz Key 1-3
Quiz Key 1-4
Chapter 2: Graphing and Writing Linear Equations
2.1 Graphing Lines with One Variable
2.2 Graphing Lines with Two Variables
2.3 The Slope of a Line
2.4 Slope Intercept Method
2.5 XY Intercept Method
2.6 Writing the Equations of Lines -Using Slope-Intercept Form
2.7 Writing the Equations of Lines -Using Point-Slope intercept
2.8 Writing the Equations of Lines -Given the Slope and a Point
2.9 Writing the Equations of Lines -Given Two Points
2.10 Standard Form of Linear Equations
2.11 Best Fitting Lines and Scatter Plots
2.12 Linear Models/Word Problems
2.13 Graphing Linear Inequalities in Two Variables
Extra Practice - 2 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter Quiz 2-1
Chapter Quiz 2-2
Quiz Key 2-1
Quiz Key 2-2
Chapter 3: Systems
3.1 Solving Systems by Graphing
3.2 Solving Systems Substitution Method
3.3 Solving Systems by Elimination/Linear Combination
3.4 Solving Linear System Word Problems
3.5 Special Linear Systems
3.6 Solving Systems of Linear Inequalities
3.7 Linear Programming
Extra Practice
Chapter Review Notes
Chapter 3 Quiz
Quiz Key 3
Chapter 4: Matrices and Determinants
4.1 Introduction to Matrices
4.2 Matrix Operations
4.3 Matrix Multiplication
4.4 Determinants
4.5 Identity and Inverse Matrices
4.6 Solving Systems using Inverse Matrices
4.7 Solving Systems using Cramer’s Rule
Extra Practice
Chapter Review Notes
Chapter 4 Quiz
Quiz Key 4
Chapter 5: Quadratic Equations and Complex Numbers
5.1 Introduction to Quadratic Equations
5.2 Solving Quadratic Equations by Square Roots
5.3 Graphing Quadratic Equations
5.4 The Quadratic Formula
5.5 Solving Quadratic Equations by Factoring
5.6 The Discriminant – Types of Roots
5.7 Completing the Square
5.8 Quadratic Equation Word Problems
5.9 Graphing Quadratic Inequalities
5.10 Complex and Imaginary Numbers
Extra Practice
Chapter Review Notes
Chapter 5 Quiz
Quiz Key 5
Chapter 6: Functions and Relations
6.1 Introduction to Functions and Relations
6.2 Function Operations
6.3 Inverse Functions
6.4 Graphing Functions
6.5 Linear and Nonlinear Functions
6.6 Special Functions
6.7 Composite Functions
6.8 Interval and Set Builder Notation
6.9 Function Symmetry
6.10 Transformations of Functions
6.11 Function and Relation Analysis (Finding Domain/Range)
Extra Practice
Chapter Review Notes- 2 Note Files (Scroll Down To See All)
Chapter 6 Quiz
Quiz Key 6
Chapter 7: Powers and Radicals
7.1 Product and Power Rules of Exponents
7.2 Negative and Zero Exponents Rules
7.3 Division Rules of Exponents
7.4 Scientific Notation
7.5 Compound Interest
7.6 Simplifying Radicals
7.7 Operations with Radicals
7.8 Solving Radical Equations
7.9 Operations and Equations with Rational Exponents
7.10 The Distance and Mid-Point Formula
7.11 The Pythagorean Theorem
Extra Practice - 2 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter Quiz 7-1
Chapter Quiz 7-2
Quiz Key 7-1
Quiz Key 7-2
Chapter 8: Logarithmic and Exponential Functions
8.1 Exponential Growth and Decay Functions
8.2 Introduction to Logarithms
8.3 Properties of Logarithms
8.4 The Natural Base e
8.5 Natural Logarithms
8.6 Solving Logarithmic Equations
8.7 Solving Exponential Equations
Extra Practice
Chapter Review Notes
Chapter 8 Quiz
Quiz Key 8
Chapter 9: Polynomial Functions
9.1 Introduction to Polynomials
9.2 Adding and Subtracting Polynomials
9.3 Multiplying Polynomials
9.4 Multiplying Polynomials Special Cases
9.5 Sum and Difference of Two Cubes
9.6 Factoring Greatest Common Factor
9.7 Factoring Quadratic Trinomials
9.8 Special Factoring Rules
9.9 Graphing Polynomials
9.10 Solving Polynomial Equations by Factoring
9.11 Polynomial Division (Long and Synthetic Division)
9.12 Remainder and Factor Theorem
9.13 Rational Root Theorem (Rational-Zero Test)
9.14 Solving n-degree Polynomials (Fundamental Theorem of Algebra)
9.15 Descartes’ Rule of Signs and Bounds
Extra Practice - 2 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter Quiz 9-1
Chapter Quiz 9-2
Quiz Key 9-1
Quiz Key 9-2
Chapter 10: Rational Expressions/Equations
10.1 Ratios and Proportions
10.2 Percent
10.3 Direct and Inverse Variation
10.4 Simplifying Rational Expressions
10.5 Multiplying and Dividing Rational Expressions
10.6 Finding the LCD of Rational Expressions
10.7 Solving Rational Equations
10.8 Adding and Subtracting Rational Expressions
10.9 Graphing Rational Functions (Vertical and Horizontal Asymptotes)
Extra Practice
Chapter Review Notes
Chapter 10 Quiz
Quiz Key 10
Chapter 11: Data, Measurement and Probability
11.1 Units of Measure and Conversion
11.2 Measures of Central Tendency- Mean, Median and Mode
11.3 Exploring Data- Charts, Tables, Graphs and Plots
11.4 Introduction To Probability
11.5 Counting Theory
11.6 Probability of Independent, Dependent and Mutually Exclusive Events
11.7 Permutations and Combinations
Chapter Review Notes
Chapter 11 Quiz
Quiz Key 11
Chapter 12: Sequence and Series
12.1 Introduction to Sequence and Series
12.2 Arithmetic Sequence and Series
12.3 Geometric Sequence and Series
12.4 Infinite Geometric Series
12.5 The Binomial Theorem
Chapter Review Notes
Chapter 12 Quiz
Quiz Key 12
Chapter 13: Foundations for Geometry
13.1 Points, Lines and Planes
13.2 Line Segments and Rays
13.3 Angles
13.4 Theorems and Postulates
Chapter Review Notes
Chapter 13 Quiz
Quiz Key 13
Chapter 14: Reasoning and Proof
14.1 Conditional Statements and Converses
14.2 Algebra Properties
14.3 Deductive and Inductive Reasoning
14.4 More on Angles and Lines
14.5 How to Plan and Write a Proof
Chapter Review Notes
Chapter 14 Quiz
Quiz Key 14
Chapter 15: Perpendicular and Parallel Lines, Polygons
15.1 Parallel Lines and Transversals
15.2 Properties of Parallel and Perpendicular Lines
15.3 Proving Lines Parallel
15.4 Introduction to Polygons
Chapter Review Notes
Chapter 15 Quiz
Quiz Key 15
Chapter 16: Congruent Triangles
16.1 Congruent Figures
16.2 Proving Congruent Triangles: Side-Side-Side and Side-Angle-Side Theorem
16.3 Proving Congruent Triangles: Angle-Side-Angle and Angle-Angle-Side Theorem
16.4 Proving Congruent Triangles: Hypotenuse-Leg Theorem
Chapter Review Notes
Chapter 16 Quiz
Quiz Key 16
Chapter 17: Properties of Triangles
17.1 Medians, Altitudes and Bisectors
17.2 Bisector Theorems
17.3 Triangle Inequalities
Chapter Review Notes
Chapter 17 Quiz
Quiz Key 17
Chapter 18: Quadrilaterals
18.1 Parallelograms
18.2 Proving Quadrilaterals are Parallelograms
18.3 Trapezoids
18.4 Special Quadrilaterals
18.5 Quadrilaterals, Triangles and Midpoints
Chapter Review Notes
Chapter 18 Quiz
Quiz Key 18
Chapter 19: Similarity
19.1 Ratios and Proportions
19.2 Similar Polygons
19.3 Similar Triangles
Chapter Review Notes
Chapter 19 Quiz
Quiz Key 19
Chapter 20: Transformations
20.1 Reflections
20.2 Rotations and Dilations
20.3 Translations and Glide Reflections
Chapter Review Notes
Chapter 20 Quiz
Quiz Key 20
Chapter 21: Right Triangles and Trigonometry
21.1 Similar Right Triangles
21.2 The Pythagorean Theorem
21.3 Special Right Triangles
21.4 Trigonometric Ratios
21.5 Right Triangle Word Problems
Chapter Review Notes
Chapter 21 Quiz
Quiz Key 21
Chapter 22: Circles
22.1 Introduction to Circles and Tangents
22.2 Arcs and Chords
22.3 Inscribed Angles
22.4 Other Angle Relationships in Circles
22.5 Segment Lengths and Circles
Chapter Review Notes
Chapter 22 Quiz
Quiz Key 22
Chapter 23: Area and Volume
23.1 Area of Basic Figures
23.2 Surface Area of Basic Figures
23.3 Volume of Basic Figures
23.4 Area of Regular Polygons
23.5 Area of Circles/Sectors and Arc Length
23.6 Perimeter
Chapter Review Notes
Chapter 23 Quiz
Quiz Key 23
Chapter 24: Conic Sections
24.1 Circles (Conic Sections)
24.2 Parabolas (Conic Sections)
24.3 Ellipses (Conic Sections)
24.4 Hyperbolas (Conic Sections)
24.5 Translations of Conic Sections
Chapter Review Notes
Chapter 24 Quiz
Quiz Key 24
Chapter 25: Trigonometry
25.1 Trigonometric Ratios
25.2 Angles of Rotation and Radian Measure
25.3 Evaluating Trigonometric Functions
25.4 Inverse Trigonometric Functions
25.5 Graphs of Sine and Cosine Functions
25.6 Laws of Sine and Cosine
25.7 Trigonometric Identities
25.8 Solving Trigonometric Equations
Chapter Review Notes
Chapter 25 Quiz
Quiz Key 25
9.6 Factoring Greatest Common Factor
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