7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
Elementary Quantitative Methods Study Guide
for QMI1500 EXAM, SOLUTIONS (A+ GRADED
100% VERIFIED) LATEST VERSION 2025!!
Save
Terms in this set (548)
What is the purpose of the To enable a student to become conversant with a
Elementary Quantitative variety of basic quantitative techniques.
Methods module?
What is the course code QMI1500
for Elementary
Quantitative Methods at
the University of South
Africa?
What is the first topic Revision of prior knowledge.
covered in the course
contents?
What are the two main Brackets and the sequence of operations.
components of the order
of operations?
What is the significance of Variables represent unknown values that can change.
variables in quantitative
methods?
What are the commutative They state that the order of addition or multiplication
laws in mathematics? does not affect the result.
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,7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
What do the associative They state that the way numbers are grouped in
laws refer to? addition or multiplication does not affect the result.
What is the distributive It states that a number multiplied by a sum is equal to
law? the sum of the individual products.
What is the focus of the Understanding types of fractions, reducing fractions,
fractions section in the and operations involving fractions.
course?
What are the four Multiplication, division, addition, and subtraction.
operations covered for
fractions?
What is the topic covered Positive powers, negative powers, and rules and
under powers in properties of powers.
quantitative methods?
A value that, when multiplied by itself, gives the
What is a square root?
original number.
What are cube and higher Values that, when raised to the power of three or
order roots? higher, yield the original number.
What are fractional Exponents that are expressed as fractions, indicating
exponents? roots.
What concepts are Understanding ratios, proportions, and calculating
covered under ratios, percentages.
proportions, and
percentages?
What is the number line To represent numbers visually and understand
used for in quantitative positive and negative values.
methods?
What is the significance of It refers to the operation of adding a sequence of
summation in numbers.
mathematics?
What are the Rules that govern how to multiply numbers, including
multiplication rules in the commutative and associative properties.
quantitative methods?
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 2/48
,7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
What does the SI system The International System of Units used for
refer to? measurement.
What types of Length, area, and volume.
measurements are
covered in the units and
measures section?
What is a function in A relation that assigns exactly one output for each
mathematics? input.
What is the importance of Functions are fundamental in modeling relationships
understanding functions in between variables.
quantitative methods?
A relation that assigns exactly one output for each
What is a function?
input.
What are the key Variables and formulas.
components of a
function?
A way to represent functions using symbols, typically
What is function notation?
f(x) to denote the function f evaluated at x.
What is the Cartesian A two-dimensional coordinate system where each
plane? point is defined by an ordered pair of numbers.
Functions that create a straight line when graphed,
What are linear functions?
characterized by a constant rate of change.
What is the slope of a The ratio of the vertical change to the horizontal
straight line? change between two points on the line.
How can you determine By using the slope formula and the point-slope form
the equation of a straight of the equation.
line using two points?
What is a quadratic A function that can be expressed in the form f(x) =
function? ax^2 + bx + c, where a, b, and c are constants.
What is the turning point The vertex of the parabola, which is the highest or
of a quadratic function? lowest point of the graph.
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, 7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
A value calculated from the coefficients of the
What is the discriminant in
quadratic equation that determines the nature of the
a quadratic function?
roots.
What are exponential Functions where the variable is in the exponent,
functions? typically expressed as f(x) = a * b^x.
What are logarithmic The inverse functions of exponential functions,
functions? expressed as f(x) = log_b(x), where b is the base.
What is a linear equation An equation that can be written in the form ax + b = 0,
in one variable? where a and b are constants.
How do you solve linear By isolating the variable on one side of the equation
equations in one variable using inverse operations.
algebraically?
What are systems of linear Sets of equations with the same variables that can be
equations? solved simultaneously.
How do you solve systems By methods such as substitution, elimination, or
of equations in two graphing.
variables?
What are linear Inequalities that involve linear expressions and can be
inequalities in one solved to find a range of values.
variable?
What is the significance of They apply mathematical concepts to real-world
word problems in linear scenarios, requiring interpretation and formulation of
equations? equations.
What is the summary A concise recap of the key concepts covered in that
section in a mathematical chapter.
chapter?
What is the importance of Graphing provides a visual representation of the
graphing functions? function's behavior and characteristics.
What are intercepts in a Points where the graph intersects the x-axis and y-
quadratic function? axis.
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 4/48
Elementary Quantitative Methods Study Guide
for QMI1500 EXAM, SOLUTIONS (A+ GRADED
100% VERIFIED) LATEST VERSION 2025!!
Save
Terms in this set (548)
What is the purpose of the To enable a student to become conversant with a
Elementary Quantitative variety of basic quantitative techniques.
Methods module?
What is the course code QMI1500
for Elementary
Quantitative Methods at
the University of South
Africa?
What is the first topic Revision of prior knowledge.
covered in the course
contents?
What are the two main Brackets and the sequence of operations.
components of the order
of operations?
What is the significance of Variables represent unknown values that can change.
variables in quantitative
methods?
What are the commutative They state that the order of addition or multiplication
laws in mathematics? does not affect the result.
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 1/48
,7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
What do the associative They state that the way numbers are grouped in
laws refer to? addition or multiplication does not affect the result.
What is the distributive It states that a number multiplied by a sum is equal to
law? the sum of the individual products.
What is the focus of the Understanding types of fractions, reducing fractions,
fractions section in the and operations involving fractions.
course?
What are the four Multiplication, division, addition, and subtraction.
operations covered for
fractions?
What is the topic covered Positive powers, negative powers, and rules and
under powers in properties of powers.
quantitative methods?
A value that, when multiplied by itself, gives the
What is a square root?
original number.
What are cube and higher Values that, when raised to the power of three or
order roots? higher, yield the original number.
What are fractional Exponents that are expressed as fractions, indicating
exponents? roots.
What concepts are Understanding ratios, proportions, and calculating
covered under ratios, percentages.
proportions, and
percentages?
What is the number line To represent numbers visually and understand
used for in quantitative positive and negative values.
methods?
What is the significance of It refers to the operation of adding a sequence of
summation in numbers.
mathematics?
What are the Rules that govern how to multiply numbers, including
multiplication rules in the commutative and associative properties.
quantitative methods?
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 2/48
,7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
What does the SI system The International System of Units used for
refer to? measurement.
What types of Length, area, and volume.
measurements are
covered in the units and
measures section?
What is a function in A relation that assigns exactly one output for each
mathematics? input.
What is the importance of Functions are fundamental in modeling relationships
understanding functions in between variables.
quantitative methods?
A relation that assigns exactly one output for each
What is a function?
input.
What are the key Variables and formulas.
components of a
function?
A way to represent functions using symbols, typically
What is function notation?
f(x) to denote the function f evaluated at x.
What is the Cartesian A two-dimensional coordinate system where each
plane? point is defined by an ordered pair of numbers.
Functions that create a straight line when graphed,
What are linear functions?
characterized by a constant rate of change.
What is the slope of a The ratio of the vertical change to the horizontal
straight line? change between two points on the line.
How can you determine By using the slope formula and the point-slope form
the equation of a straight of the equation.
line using two points?
What is a quadratic A function that can be expressed in the form f(x) =
function? ax^2 + bx + c, where a, b, and c are constants.
What is the turning point The vertex of the parabola, which is the highest or
of a quadratic function? lowest point of the graph.
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 3/48
, 7/17/25, 7:40 AM Elementary Quantitative Methods Study Guide for QMI1500 EXAM, SOLUTIONS (A+ GRADED 100% VERIFIED) LATEST VERSI…
A value calculated from the coefficients of the
What is the discriminant in
quadratic equation that determines the nature of the
a quadratic function?
roots.
What are exponential Functions where the variable is in the exponent,
functions? typically expressed as f(x) = a * b^x.
What are logarithmic The inverse functions of exponential functions,
functions? expressed as f(x) = log_b(x), where b is the base.
What is a linear equation An equation that can be written in the form ax + b = 0,
in one variable? where a and b are constants.
How do you solve linear By isolating the variable on one side of the equation
equations in one variable using inverse operations.
algebraically?
What are systems of linear Sets of equations with the same variables that can be
equations? solved simultaneously.
How do you solve systems By methods such as substitution, elimination, or
of equations in two graphing.
variables?
What are linear Inequalities that involve linear expressions and can be
inequalities in one solved to find a range of values.
variable?
What is the significance of They apply mathematical concepts to real-world
word problems in linear scenarios, requiring interpretation and formulation of
equations? equations.
What is the summary A concise recap of the key concepts covered in that
section in a mathematical chapter.
chapter?
What is the importance of Graphing provides a visual representation of the
graphing functions? function's behavior and characteristics.
What are intercepts in a Points where the graph intersects the x-axis and y-
quadratic function? axis.
https://quizlet.com/1060732599/elementary-quantitative-methods-study-guide-for-qmi1500-exam-solutions-a-graded-100-verified-latest-version-2025-… 4/48
