WGU C957 PRE-ASSESSMENT PURE
APPLIED ALGEBRA QUESTIONS WITH
ACCURATE SOLUTIONS
1.Output Variable - ANSWER The output, represented by one or more letters, such
as m or d(t), produced by a function, based on the input variable.
2. Table - ANSWER In math, a logical arrangement of quantitative data in columns
and rows.
3. Trends - ANSWER A pattern of change in a condition or process, often
represented by a line or a curve on a graph.
4. Moore's Law - ANSWER The observation by Gordon Moore in 1965 that the
number of transistors on a silicon chip doubles periodically, which means that
computing power also doubles; this is not a "law" in the conventional sense, rather
more like a theory.
5. Informative Age - ANSWER The present time, when information is widely
available to many people through computer technology.
6. Rate of Change - ANSWER May be average or instantaneous, describes how
one quantity changes in relation to another quantity.
7. Order of Operations - ANSWER The conventional rules for solving math
expressions: 1) Parentheses and brackets from the inside out; 2) Exponents; 3)
Multiplication and division from left to right; 4) Addition and subtraction from left
to right.
,8. Big-Box Stores - ANSWER A very large store, typically over 50,000 square feet,
of plain design, resembling a large box.
9. Interrelated Causality - ANSWER An output produced by the interaction of
several connected, or related, inputs.
10. Function Notation - ANSWER The conventional way to write a function,
precise enough to describe the function without a long written explanation.
11. Ordered Pair - ANSWER A pair of numbers used to locate a point on a graph,
written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.
12. Multivariate - ANSWER Involving a number of different - though not
necessarily independent - variables.
13. Input-Output Pairs - ANSWER The representation of an input value and an
output value as an ordered pair, written (x, y).
14. Average Rate of Change and Slope Formula - ANSWER The average rate at
which one variable is changing in relation to another variable's changing.
rise/run
(y2-y1) / (x2-x1)
15.Rise - ANSWER The distance a line goes up (or down) on a graph, along the y-
axis.
,16. Run - ANSWER The distance a line goes right (or left) on a graph, along the x-
axis.
17. Ratio - ANSWER The relative sizes of two or more quantities; technically, the
relationship of two quantities, normally the quotient and one divided by the other.
18. Instantaneous Rate of Change - ANSWER The rate of change at a particular
moment, as opposed to average rate of change, which is change over a period of
time.
19.Equation - ANSWER A mathematical statement that two things are equal; it
consists of two expressions, one on each side of an equals sign.
20. Data - ANSWER A collection of facts, which might be numbers, words,
measurements, observations or simply descriptions.
21. Variable - ANSWER Something that can vary, often used in equations, and
usually represented by a letter (e.g., t for time, n for number, c for color).
22. Quantitative Variable - ANSWER A changing variable that is measured on a
number scale; a variable with a numeric value.
23. Qualitative Variable or Categorical Variable - ANSWER A variable that is not
numeric; it describes data that fits into categories.
24. Independent Variable - ANSWER A variable that, as it changes, affects another
variable (called the dependent variable). For example, as gas (the independent
variable) is pumped into a car's tank, the cost of the purchase (the dependent
variable) rises. The input of a function.
, 25. Dependent Variable - ANSWER A variable that is changed by another variable
(called the independent variable). For example, when purchasing gas, the cost
(dependent variable) rises as more gas (the independent variable) is pumped into
the car's tank. Dependent variables are usually drawn on the y-axis of a graph. The
output of a function.
26. Input - ANSWER A quantitative variable that is chosen to find a solution, or
output, of a function.
27. Output - ANSWER A quantitative variable that is produced by a function when
an input is chosen.
28. Function - ANSWER A mathematical relationship between two variables where
every input is matched with exactly one output value.
y = f(x)
Format: Dependent Variable (Independent Variable)
This is not a multiplication equation; it is read as "the value of f at x" or "for a
given input of x, what is the function's output?"
29. Inverse Function - ANSWER A function that undoes, or reverses, the action of
another function (e.g., using multiplication to check division).
30.The inverse of f(x) is written f^-1(x) and read "f inverse of x."
31 Graph - ANSWER A diagram showing the relationship between variable
quantities on two axes drawn at right angles.
x,y
APPLIED ALGEBRA QUESTIONS WITH
ACCURATE SOLUTIONS
1.Output Variable - ANSWER The output, represented by one or more letters, such
as m or d(t), produced by a function, based on the input variable.
2. Table - ANSWER In math, a logical arrangement of quantitative data in columns
and rows.
3. Trends - ANSWER A pattern of change in a condition or process, often
represented by a line or a curve on a graph.
4. Moore's Law - ANSWER The observation by Gordon Moore in 1965 that the
number of transistors on a silicon chip doubles periodically, which means that
computing power also doubles; this is not a "law" in the conventional sense, rather
more like a theory.
5. Informative Age - ANSWER The present time, when information is widely
available to many people through computer technology.
6. Rate of Change - ANSWER May be average or instantaneous, describes how
one quantity changes in relation to another quantity.
7. Order of Operations - ANSWER The conventional rules for solving math
expressions: 1) Parentheses and brackets from the inside out; 2) Exponents; 3)
Multiplication and division from left to right; 4) Addition and subtraction from left
to right.
,8. Big-Box Stores - ANSWER A very large store, typically over 50,000 square feet,
of plain design, resembling a large box.
9. Interrelated Causality - ANSWER An output produced by the interaction of
several connected, or related, inputs.
10. Function Notation - ANSWER The conventional way to write a function,
precise enough to describe the function without a long written explanation.
11. Ordered Pair - ANSWER A pair of numbers used to locate a point on a graph,
written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.
12. Multivariate - ANSWER Involving a number of different - though not
necessarily independent - variables.
13. Input-Output Pairs - ANSWER The representation of an input value and an
output value as an ordered pair, written (x, y).
14. Average Rate of Change and Slope Formula - ANSWER The average rate at
which one variable is changing in relation to another variable's changing.
rise/run
(y2-y1) / (x2-x1)
15.Rise - ANSWER The distance a line goes up (or down) on a graph, along the y-
axis.
,16. Run - ANSWER The distance a line goes right (or left) on a graph, along the x-
axis.
17. Ratio - ANSWER The relative sizes of two or more quantities; technically, the
relationship of two quantities, normally the quotient and one divided by the other.
18. Instantaneous Rate of Change - ANSWER The rate of change at a particular
moment, as opposed to average rate of change, which is change over a period of
time.
19.Equation - ANSWER A mathematical statement that two things are equal; it
consists of two expressions, one on each side of an equals sign.
20. Data - ANSWER A collection of facts, which might be numbers, words,
measurements, observations or simply descriptions.
21. Variable - ANSWER Something that can vary, often used in equations, and
usually represented by a letter (e.g., t for time, n for number, c for color).
22. Quantitative Variable - ANSWER A changing variable that is measured on a
number scale; a variable with a numeric value.
23. Qualitative Variable or Categorical Variable - ANSWER A variable that is not
numeric; it describes data that fits into categories.
24. Independent Variable - ANSWER A variable that, as it changes, affects another
variable (called the dependent variable). For example, as gas (the independent
variable) is pumped into a car's tank, the cost of the purchase (the dependent
variable) rises. The input of a function.
, 25. Dependent Variable - ANSWER A variable that is changed by another variable
(called the independent variable). For example, when purchasing gas, the cost
(dependent variable) rises as more gas (the independent variable) is pumped into
the car's tank. Dependent variables are usually drawn on the y-axis of a graph. The
output of a function.
26. Input - ANSWER A quantitative variable that is chosen to find a solution, or
output, of a function.
27. Output - ANSWER A quantitative variable that is produced by a function when
an input is chosen.
28. Function - ANSWER A mathematical relationship between two variables where
every input is matched with exactly one output value.
y = f(x)
Format: Dependent Variable (Independent Variable)
This is not a multiplication equation; it is read as "the value of f at x" or "for a
given input of x, what is the function's output?"
29. Inverse Function - ANSWER A function that undoes, or reverses, the action of
another function (e.g., using multiplication to check division).
30.The inverse of f(x) is written f^-1(x) and read "f inverse of x."
31 Graph - ANSWER A diagram showing the relationship between variable
quantities on two axes drawn at right angles.
x,y
