Elementary Quantitative Methods Study
Guide for QMI1500 GUARANTEED PASS!!
Quantitative Techniques - ((ANSWER)Basic methods for numerical analysis and problem-
solving.
Order of Operations - ((ANSWER)Rules for calculating expressions: PEMDAS/BODMAS.
Brackets - ((ANSWER)Symbols used to group terms in expressions.
Variables - ((ANSWER)Symbols representing unknown values in equations.
Commutative Laws - ((ANSWER)Order of addition/multiplication does not change result.
Associative Laws - ((ANSWER)Grouping of numbers does not affect addition/multiplication.
Distributive Law - ((ANSWER)a(b + c) = ab + ac; distributes multiplication.
Fractions - ((ANSWER)Numbers representing parts of a whole.
Types of Fractions - ((ANSWER)Includes proper, improper, and mixed fractions.
Reducing Fractions - ((ANSWER)Simplifying fractions to their lowest terms.
Multiplication of Fractions - ((ANSWER)Multiply numerators and denominators separately.
Division of Fractions - ((ANSWER)Multiply by the reciprocal of the divisor.
Adding Fractions - ((ANSWER)Find common denominator before summing numerators.
Subtracting Fractions - ((ANSWER)Find common denominator before subtracting numerators.
Decimals - ((ANSWER)Numbers with a decimal point representing fractions.
Powers - ((ANSWER)Numbers raised to an exponent indicating repeated multiplication.
Positive Powers - ((ANSWER)Exponent greater than zero indicating multiplication.
Negative Powers - ((ANSWER)Exponent less than zero indicating reciprocal.
Rules and Properties - ((ANSWER)Guidelines for manipulating powers in calculations.
Roots - ((ANSWER)Inverse operation of raising to a power.
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,Square Root - ((ANSWER)Value that, when multiplied by itself, equals original.
Cube Roots - ((ANSWER)Value that, when cubed, equals original.
Fractional Exponents - ((ANSWER)Exponents that are fractions indicating roots.
Ratios - ((ANSWER)Comparison of two quantities expressed as a fraction.
Proportion - ((ANSWER)Equation stating two ratios are equal.
Percentages - ((ANSWER)A ratio expressed as a fraction of 100.
Number Line - ((ANSWER)Visual representation of numbers in order.
Positive Numbers - ((ANSWER)Numbers greater than zero.
Negative Numbers - ((ANSWER)Numbers less than zero.
Summation - ((ANSWER)Process of adding a sequence of numbers.
Multiplication Rules - ((ANSWER)Guidelines for performing multiplication operations.
SI System - ((ANSWER)International System of Units for measurement.
Length - ((ANSWER)Measurement of distance between two points.
Area - ((ANSWER)Measurement of surface within a boundary.
Volume - ((ANSWER)Measurement of space occupied by an object.
Function - ((ANSWER)A relation mapping inputs to outputs.
Variables - ((ANSWER)Symbols representing quantities in functions.
Formulas - ((ANSWER)Mathematical expressions defining relationships.
Function notation - ((ANSWER)Symbolic representation of functions, e.g., f(x).
Graphing functions - ((ANSWER)Visual representation of function behavior.
Cartesian plane - ((ANSWER)Two-dimensional coordinate system for graphing.
Linear function - ((ANSWER)Function with a constant rate of change.
Slope - ((ANSWER)Ratio of vertical change to horizontal change.
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, Intercepts - ((ANSWER)Points where graph crosses axes.
Quadratic function - ((ANSWER)Polynomial function of degree two.
Turning point - ((ANSWER)Vertex of a quadratic function's graph.
Discriminant - ((ANSWER)Determines nature of roots in quadratics.
Exponential function - ((ANSWER)Function where variable is an exponent.
Logarithmic function - ((ANSWER)Inverse of exponential functions.
Linear equation - ((ANSWER)Equation representing a straight line.
System of equations - ((ANSWER)Set of equations with common variables.
Solving equations - ((ANSWER)Finding variable values that satisfy equations.
Word problems - ((ANSWER)Real-world scenarios modeled by equations.
Linear inequalities - ((ANSWER)Inequalities involving linear expressions.
X-intercept - ((ANSWER)Point where graph intersects x-axis.
Y-intercept - ((ANSWER)Point where graph intersects y-axis.
Parallel lines - ((ANSWER)Lines with equal slopes, never intersect.
Special case: b=0 - ((ANSWER)Line passes through the origin.
Special case: a=0 - ((ANSWER)Horizontal line with zero slope.
Special case: Parallel to y-axis - ((ANSWER)Vertical line with undefined slope.
Characteristics of functions - ((ANSWER)Distinct features defining function behavior.
Summary - ((ANSWER)Overview of key concepts and definitions.
Word problems - ((ANSWER)Mathematical problems presented in narrative form.
Linear inequalities - ((ANSWER)Inequalities involving linear expressions in two variables.
Systems of inequalities - ((ANSWER)Set of two or more linear inequalities.
No solution - ((ANSWER)Condition where no values satisfy the inequalities.
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Guide for QMI1500 GUARANTEED PASS!!
Quantitative Techniques - ((ANSWER)Basic methods for numerical analysis and problem-
solving.
Order of Operations - ((ANSWER)Rules for calculating expressions: PEMDAS/BODMAS.
Brackets - ((ANSWER)Symbols used to group terms in expressions.
Variables - ((ANSWER)Symbols representing unknown values in equations.
Commutative Laws - ((ANSWER)Order of addition/multiplication does not change result.
Associative Laws - ((ANSWER)Grouping of numbers does not affect addition/multiplication.
Distributive Law - ((ANSWER)a(b + c) = ab + ac; distributes multiplication.
Fractions - ((ANSWER)Numbers representing parts of a whole.
Types of Fractions - ((ANSWER)Includes proper, improper, and mixed fractions.
Reducing Fractions - ((ANSWER)Simplifying fractions to their lowest terms.
Multiplication of Fractions - ((ANSWER)Multiply numerators and denominators separately.
Division of Fractions - ((ANSWER)Multiply by the reciprocal of the divisor.
Adding Fractions - ((ANSWER)Find common denominator before summing numerators.
Subtracting Fractions - ((ANSWER)Find common denominator before subtracting numerators.
Decimals - ((ANSWER)Numbers with a decimal point representing fractions.
Powers - ((ANSWER)Numbers raised to an exponent indicating repeated multiplication.
Positive Powers - ((ANSWER)Exponent greater than zero indicating multiplication.
Negative Powers - ((ANSWER)Exponent less than zero indicating reciprocal.
Rules and Properties - ((ANSWER)Guidelines for manipulating powers in calculations.
Roots - ((ANSWER)Inverse operation of raising to a power.
Page 1 of 30
,Square Root - ((ANSWER)Value that, when multiplied by itself, equals original.
Cube Roots - ((ANSWER)Value that, when cubed, equals original.
Fractional Exponents - ((ANSWER)Exponents that are fractions indicating roots.
Ratios - ((ANSWER)Comparison of two quantities expressed as a fraction.
Proportion - ((ANSWER)Equation stating two ratios are equal.
Percentages - ((ANSWER)A ratio expressed as a fraction of 100.
Number Line - ((ANSWER)Visual representation of numbers in order.
Positive Numbers - ((ANSWER)Numbers greater than zero.
Negative Numbers - ((ANSWER)Numbers less than zero.
Summation - ((ANSWER)Process of adding a sequence of numbers.
Multiplication Rules - ((ANSWER)Guidelines for performing multiplication operations.
SI System - ((ANSWER)International System of Units for measurement.
Length - ((ANSWER)Measurement of distance between two points.
Area - ((ANSWER)Measurement of surface within a boundary.
Volume - ((ANSWER)Measurement of space occupied by an object.
Function - ((ANSWER)A relation mapping inputs to outputs.
Variables - ((ANSWER)Symbols representing quantities in functions.
Formulas - ((ANSWER)Mathematical expressions defining relationships.
Function notation - ((ANSWER)Symbolic representation of functions, e.g., f(x).
Graphing functions - ((ANSWER)Visual representation of function behavior.
Cartesian plane - ((ANSWER)Two-dimensional coordinate system for graphing.
Linear function - ((ANSWER)Function with a constant rate of change.
Slope - ((ANSWER)Ratio of vertical change to horizontal change.
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, Intercepts - ((ANSWER)Points where graph crosses axes.
Quadratic function - ((ANSWER)Polynomial function of degree two.
Turning point - ((ANSWER)Vertex of a quadratic function's graph.
Discriminant - ((ANSWER)Determines nature of roots in quadratics.
Exponential function - ((ANSWER)Function where variable is an exponent.
Logarithmic function - ((ANSWER)Inverse of exponential functions.
Linear equation - ((ANSWER)Equation representing a straight line.
System of equations - ((ANSWER)Set of equations with common variables.
Solving equations - ((ANSWER)Finding variable values that satisfy equations.
Word problems - ((ANSWER)Real-world scenarios modeled by equations.
Linear inequalities - ((ANSWER)Inequalities involving linear expressions.
X-intercept - ((ANSWER)Point where graph intersects x-axis.
Y-intercept - ((ANSWER)Point where graph intersects y-axis.
Parallel lines - ((ANSWER)Lines with equal slopes, never intersect.
Special case: b=0 - ((ANSWER)Line passes through the origin.
Special case: a=0 - ((ANSWER)Horizontal line with zero slope.
Special case: Parallel to y-axis - ((ANSWER)Vertical line with undefined slope.
Characteristics of functions - ((ANSWER)Distinct features defining function behavior.
Summary - ((ANSWER)Overview of key concepts and definitions.
Word problems - ((ANSWER)Mathematical problems presented in narrative form.
Linear inequalities - ((ANSWER)Inequalities involving linear expressions in two variables.
Systems of inequalities - ((ANSWER)Set of two or more linear inequalities.
No solution - ((ANSWER)Condition where no values satisfy the inequalities.
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