Black River Technical College – COMPASS Math Test Prep

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COMPASS Math Test Prep

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Chapter 1: INTEGERS (I)
Unit 1: Positives and Negatives	001:	Addition and Subtraction (Adding Integers)
	002:	Multiplication and Division (Integer Multiplication)
	003:	Word Problems (Integer Word Problems)
Unit 2: Order of Operations / Evaluation	004:	Order of Operations (Order of Operation)
	005:	Evaluation (Evaluating Expressions)
Unit 3: Absolute Value	006:	Absolute Value (Absolute Value)
Chapter 2: FRACTIONS (F)
Unit 1: Factors and Multiples	007:	Divisibility Rules (Divisibility Rules)
	008:	Factors and Primes (Prime Factors)
	009:	Prime Factorization (Prime Factorization)
	010:	Multiples and Least Common Multiples (Least Common Multiple)
	011:	Greatest Common Factor (Greatest Common Factors)
Unit 2: Fractions and Mixed Numbers	012:	Introduction to Fractions (Denominator)
	013:	Equivalent Fractions (Part I) (Equivalent Fraction)
	014:	Lowest Terms (Reducing Fractions)
	015:	Equivalent Fractions (Part II) (Equivalent Fractions)
	016:	Improper Fractions and Mixed Numbers (Changing Improper Fractions to Mixed Numbers)
Unit 3: Operations with Fractions	017:	Least Common Multiple (LCM)
	018:	Addition and Subtraction (Adding Fractions)
	019:	Multiplication and Division (Multiplying Fractions)
	020:	Order of Operations (Order of Operations with Fractions)
Unit 4: Operations with Mixed Numbers	021:	Adding Mixed Numbers (Adding Mixed Numbers)
	022:	Subtracting Mixed Numbers (Subtracting Mixed Numbers)
	023:	Multiplying Mixed Numbers (Multiplying Mixed Numbers)
	024:	Dividing Mixed Numbers (Dividing Mixed Numbers)
Chapter 3: DECIMALS (D)
Unit 1: Decimal Concept	025:	Understanding Decimals (Place Value)
	026:	Converting Decimals to Fractions (Convert Decimal to Fraction)
	027:	Converting Fractions to Decimals (Fraction to Decimal)
Unit 2: Addition and Subtraction	028:	Adding Decimals (Adding Decimals)
	029:	Subtracting Decimals (Subtracting Decimals)
	030:	Word Problems (Decimal Word Problems)
Unit 3: Multiplication and Division	031:	Multiplying Decimals by Whole Numbers (Multiply Decimals)
	032:	Multiplying Decimals by Decimals (Multiplying Decimals)
	033:	Dividing Decimals by Whole Numbers (Divide Decimals)
	034:	Dividing Decimals by Decimals (Dividing Decimals)
	035:	Word Problems (Decimals Word Problems)
Unit 4: Scientific Notation	036:	Powers of Ten (Power of 10)
	037:	Converting from Scientific to Standard Notation (Scientific Notation)
	038:	Converting from Standard to Scientific Notation (Convert to Scientific Notation)
Chapter 4: EXPRESSIONS & EQUATIONS (E)
Unit 1: Variables and Expressions	039:	Combining Like Terms (Combining Like Terms)
	040:	Distributive Property (Distributive Property)
	041:	Distributive / Like Terms (Simplifying Expressions)
Unit 2: Beginning Equations	042:	One-Step Equations (One Step Equations)
	043:	Two-Step Equations (Two Step Equations)
Unit 3: Intermediate Equations	044:	Equations with Fractions (Solving Equations with Fractions)
	045:	Equations Involving Distributive (Multi Step Equations)
Unit 4: Advanced Equations	046:	Variable on Both Sides (Equations with Variables on Both Sides)
	047:	Variable on Both Sides / Fractions (Equations with Fractions)
	048:	Variable on Both Sides / Distributive (Multi Step Equation)
	049:	Fractional Solutions (Equations with Fraction Solutions)
Unit 5: Word Problems	050:	Number Problems (Algebra Word Problems)
	051:	Value Problems (Coin Problems)
	052:	Introductory Motion Problems (Motion Problems)
Chapter 5: INEQUALITIES & FUNCTIONS (IF)
Unit 1: Inequalities	053:	Solving and Graphing Inequalities (Solving Inequalities)
Unit 2: Functions	054:	The Coordinate System (Coordinate System)
	055:	Domain and Range (Domain and Range)
	056:	Definition of a Function (Math Functions)
	057:	Function and Arrow Notation (Function Notation)
Chapter 6: LINEAR EQUATIONS & SYSTEMS OF EQUATIONS (LS)
Unit 1: Slope	058:	Using the Graph of a Line to Find Slope (Slope of a Line)
	059:	Using Slope to Graph a Line (Graphing Slope)
	060:	Using Coordinates to Find Slope (Slope Formula)
Unit 2: Slope-Intercept Form	061:	Using Slope-Intercept Form to Graph a Line (Slope Intercept Form)
	062:	Converting to Slope-Intercept Form and Graphing (Slope Intercept Formula)
Unit 3: Writing Equations of Lines	063:	Standard Form (Standard Form)
	064:	The Point-Slope Formula (Point Slope Form)
	065:	Given Two Points (Equation of a Line)
Unit 4: Systems of Equations	066:	By Addition (System of Equations)
	067:	By Substitution (Solving Systems by Substitution)
Chapter 7: EXPONENTS & POLYNOMIALS (EP)
Unit 1: Exponent Rules	068:	The Product Rule (Product Rule)
	069:	The Power Rule (Power Rule)
	070:	The Quotient Rule (Quotient Rule)
Unit 2: Multiplying Polynomials	071:	The Distributive Property (Polynomial Multiplication)
	072:	F.O.I.L. (Foil Method)
	073:	Advanced Problems (Multiplying Polynomials)
Chapter 8: FACTORING & RATIONAL EXPRESSIONS (FR)
Unit 1: Greatest Common Factor	074:	Rules for Finding the G.C.F. (Greatest Common Factor)
	075:	Factoring Out the G.C.F. (Factoring Binomials)
Unit 2: Factoring Special Polynomials	076:	Special Trinomials with Positive Constant (Factoring Polynomials)
	077:	Special Trinomials with Negative Constant (Factor Polynomials)
	078:	Difference of Two Squares (Difference of Two Squares)
Unit 3: Advanced Trinomial Factoring	079:	Coefficient on x^2 Term, Positive Constant (Factoring a Trinomial with a Leading Coefficient)
	080:	Coefficient on x^2 Term, Negative Constant (Factoring Trinomials with a Leading Coefficient)
Unit 4: Polynomial Equations	081:	Beginning Equations (Quadratic Equation)
Unit 5: Rational Expressions	082:	Simplifying Rational Expressions (Rational Expressions)
	083:	Multiplying and Dividing Rational Expressions (Multiplying Rational Expressions)
Chapter 9: RADICALS (RQ)
Unit 1: Beginning Radicals	084:	Simplifying Radicals (Simplifying Radicals)
	085:	Multiplying Radicals (Multiplying Radicals)
	086:	Dividing Radicals (Dividing Radicals)
Unit 2: Advanced Radicals	087:	Addition and FOILing (Adding Radicals)
	088:	Advanced Division (Divide Square Roots)
Unit 3: Radical Equations	089:	Radical Equations (Radical Equations)
Unit 4: Imaginary and Complex Numbers	090:	Beginning Imaginary Numbers (Imaginary Numbers)
	091:	Beginning Complex Numbers (Complex Numbers)
Chapter 10: RATIO, PROPORTION, & PERCENT (R)
Unit 1: Ratio	092:	Introduction to Ratios (Math Ratios)
	093:	Equal Ratios (Equivalent Ratios)
	094:	Unit Rate (Unit Rate)
	095:	Unit Price (Unit Price)
Unit 2: Proportion	096:	Introduction to Proportion (Math Proportions)
	097:	Solving Proportions (Solve Proportions)
	098:	Word Problems (Proportion Word Problems)
Unit 3: Percent Concept	099:	Understanding Percents (Math Percentage)
	100:	Fractions and Percents (Percent to Fraction)
	101:	Decimals and Percents (Percent to Decimal)
Unit 4: Percent Problems	102:	Percent Problems (Percent Problems)
	103:	Percent Increase or Decrease (Percentage Increase)
	104:	Discount (Discount Formula)
	105:	Sales Tax (Math Sales Tax)
	106:	Interest (Simple Interest Formula)
Chapter 11: ANGLES & TRIANGLES (A)
Unit 1: Angles	107:	Angles and Measure (Acute Angle)
	108:	Angle Addition Postulate and Angle Bisector (Angle Addition Postulate)
Unit 2: Angle Pairs	109:	Complementary and Supplementary Angles (Part 1) (Complementary angles)
	110:	Complementary and Supplementary Angles (Part 2) (Supplementary Angles)
	111:	Vertical Angles (Vertical Angles)
Unit 3: Parallel Lines	112:	Vocabulary (Parallel Lines)
	113:	Given Lines are Parallel (Same Side Interior Angles)
Unit 4: Angles of a Triangle	114:	Vocabulary and Triangle Sum Theorem (Triangle Sum Theorem)
	115:	Isosceles Triangle Theorems (Isosceles Triangle Theorem)
Chapter 12: SIMILARITY (S)
Unit 1: Ratio and Proportion	116:	Ratio (Ratio Word Problems)
	117:	Proportion (Solving Proportions)
Unit 2: Similar Polygons	118:	Properties of Similar Polygons (Similar Triangle)
	119:	Angle-Angle Similarity Postulate (Geometry Similar Triangles)
	120:	Word Problems (Similar Triangle Problems)
Chapter 13: RIGHT TRIANGLES & CIRCLES (RC)
Unit 1: The Pythagorean Theorem	121:	The Pythagorean Theorem (Pythagorean Theorem)
	122:	Word Problems (Pythagorean Theorem Word Problems)
	123:	Converse of the Pythagorean Theorem (Converse of Pythagorean Theorem)
Unit 2: Special Right Triangles	124:	30-60-90 and 45-45-90 degree Triangles (Part I) (30 60 90 Triangle)
Unit 3: Trigonometry	125:	Sine, Cosine, and Tangent (Part I) (Sine Cosine Tangent)
	126:	Sine, Cosine, and Tangent (Part II) (Sin Cos Tan)
	127:	Word Problems (Angle of Elevation)
Unit 4: Circles	128:	Vocabulary (Radius of a Circle)
	129:	Arcs and Central Angles (Central Angle)
	130:	Inscribed Angles (Inscribed Angles)
Chapter 14: MEASUREMENT (M)
Unit 1: Perimeter and Circumference	131:	Perimeter (Perimeter)
	132:	Circumference (Circumference)
Unit 2: Beginning Area	133:	Area of Squares and Rectangles (Area of a Rectangle)
	134:	Area of Triangles (Area of a Triangle)
	135:	Area of Parallelograms and Trapezoids (Area of a Parallelogram)
	136:	Area of a Circle (Area of a Circle)
Unit 3: Advanced Area	137:	Area of Rectangles and Squares (Part I) (Area of Rectangle)
	138:	Area of Parallelograms (Area of Parallelogram)
	139:	Area of Triangles (Area of Triangle)
	140:	Area of Trapezoids (Area of a Trapezoid)
	141:	Area and Circumference of Circles (Circumference of a Circle)
Unit 4: Surface Area and Volume	142:	Surface Area (Surface Area)
	143:	Volume of Prisms and Pyramids (Volume of a Prism)
Chapter 15: STATISTICS (ST)
Unit 1: Central Tendency	144:	Range, Median, and Mode (Central Tendency)
	145:	Mean (Math Mean)
	146:	Word Problems (Mean Median Mode)
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