C784 Exam Questions with Verified
Solutions
rational number - ANSWER-A number that can be written as a ratio of integers, which
means it can be written as a fraction.
product - ANSWER-The result of multiplying values.
whole number - ANSWER-A number whose value is 0 or greater and can be
represented without a fractional or a decimal component.
identity property - ANSWER-The property that 0 can be added to any number without
changing the value of the number. Likewise, 1 can be multiplied by any number without
changing the value of that number.
associative property - ANSWER-The property that under certain operations in a multi-
step expression, the computations may be done in any order. Commonly represented
as (a + b) + c = a + (b + c). Addition and multiplication both have this property, but
subtraction and division do not.
perfect square - ANSWER-The product of any integer with itself yields this. So, a
number is this if it can be written as the square of an integer. For example, 9 is this
because 3 * 3 = 9. Other examples are 16, 25, 36, 49,...
set - ANSWER-In mathematics: a collection of numbers.
order of operations - ANSWER-A set of rules that defines the order in which
mathematical operations should be performed
multiplicative inverse - ANSWER-The number you must multiply x by to get 1. For
example, 5 and 1/5.
principal square root - ANSWER-The positive square root of a number.
interval - ANSWER-A set of numbers between two specified values.
operators - ANSWER-A word or symbol (such as + or -) that indicates an operation
between values.
, commutative - ANSWER-The property that the order of the numbers under the
operation does not change the result. Addition and multiplication have this property: a +
b = b + a and ab = ba.
radical sign - ANSWER-The symbol which indicates to take the square root of the
number that follows.
ordered pairs - ANSWER-Two numbers written in the form (x, y), where x represent the
x-value or x-coordinate, and y represents the y-value or y-coordinate.
horizontal line - ANSWER-A line that runs left to right on the coordinate plane, parallel
to the x-axis. It has no 'rise' or change in y-value.
x-axis - ANSWER-The horizontal line that passes through the origin on a coordinate
plane.
term - ANSWER-An individual number, a variable, or numbers and variables multiplied
together. They are separated by addition, +, or subtraction, -, in an expression.
slope-intercept form - ANSWER-A common format that a linear equation can take that is
helpful for graphing purposes. It is of the form y = mx + b, where m is the slope of the
line and b is the y-intercept.
vertical line - ANSWER-A line that runs up and down on the coordinate plane, parallel to
the y-axis. It has no 'run' or change in x-value.
inverse operations - ANSWER-Two operations that undo one another.
Order of Operations - ANSWER-A set of rules that defines the order in which
mathematical operations should be performed.
cubic - ANSWER-An expression or equation of degree 3.
quadratic - ANSWER-An expression or equation of degree 2.
exponent - ANSWER-Sometimes called a power, it is a quantity that represents
repeated multiplication.
unlike terms - ANSWER-They that do not have the same variable(s) with the same
exponent(s). These terms can not be combined using addition or subtraction.
linear - ANSWER-An expression or equation of degree 1.
qualitative data - ANSWER-Non-numeric information based on some quality or
characteristic.
mode - ANSWER-The most frequent value in a dataset.
Solutions
rational number - ANSWER-A number that can be written as a ratio of integers, which
means it can be written as a fraction.
product - ANSWER-The result of multiplying values.
whole number - ANSWER-A number whose value is 0 or greater and can be
represented without a fractional or a decimal component.
identity property - ANSWER-The property that 0 can be added to any number without
changing the value of the number. Likewise, 1 can be multiplied by any number without
changing the value of that number.
associative property - ANSWER-The property that under certain operations in a multi-
step expression, the computations may be done in any order. Commonly represented
as (a + b) + c = a + (b + c). Addition and multiplication both have this property, but
subtraction and division do not.
perfect square - ANSWER-The product of any integer with itself yields this. So, a
number is this if it can be written as the square of an integer. For example, 9 is this
because 3 * 3 = 9. Other examples are 16, 25, 36, 49,...
set - ANSWER-In mathematics: a collection of numbers.
order of operations - ANSWER-A set of rules that defines the order in which
mathematical operations should be performed
multiplicative inverse - ANSWER-The number you must multiply x by to get 1. For
example, 5 and 1/5.
principal square root - ANSWER-The positive square root of a number.
interval - ANSWER-A set of numbers between two specified values.
operators - ANSWER-A word or symbol (such as + or -) that indicates an operation
between values.
, commutative - ANSWER-The property that the order of the numbers under the
operation does not change the result. Addition and multiplication have this property: a +
b = b + a and ab = ba.
radical sign - ANSWER-The symbol which indicates to take the square root of the
number that follows.
ordered pairs - ANSWER-Two numbers written in the form (x, y), where x represent the
x-value or x-coordinate, and y represents the y-value or y-coordinate.
horizontal line - ANSWER-A line that runs left to right on the coordinate plane, parallel
to the x-axis. It has no 'rise' or change in y-value.
x-axis - ANSWER-The horizontal line that passes through the origin on a coordinate
plane.
term - ANSWER-An individual number, a variable, or numbers and variables multiplied
together. They are separated by addition, +, or subtraction, -, in an expression.
slope-intercept form - ANSWER-A common format that a linear equation can take that is
helpful for graphing purposes. It is of the form y = mx + b, where m is the slope of the
line and b is the y-intercept.
vertical line - ANSWER-A line that runs up and down on the coordinate plane, parallel to
the y-axis. It has no 'run' or change in x-value.
inverse operations - ANSWER-Two operations that undo one another.
Order of Operations - ANSWER-A set of rules that defines the order in which
mathematical operations should be performed.
cubic - ANSWER-An expression or equation of degree 3.
quadratic - ANSWER-An expression or equation of degree 2.
exponent - ANSWER-Sometimes called a power, it is a quantity that represents
repeated multiplication.
unlike terms - ANSWER-They that do not have the same variable(s) with the same
exponent(s). These terms can not be combined using addition or subtraction.
linear - ANSWER-An expression or equation of degree 1.
qualitative data - ANSWER-Non-numeric information based on some quality or
characteristic.
mode - ANSWER-The most frequent value in a dataset.
