COLLEGE MATH PLACEMENT TEST EXAM WITH COMPLETE
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
Irrational numbers -
CORRECT|ANSWER
A nonrepeating, nonterminating decimal. It cannot be written as a fraction. Pi is an example. Square
root of 17 is an example.
Rational number -
CORRECT|ANSWER
Any number that can be written as a fraction. Terminates or repeats. An example is 1/3.
Whole numbers -
CORRECT|ANSWER
whole numbers start at 0 and only go up. Negative numbers are not in the set of whole numbers.
Natural numbers -
CORRECT|ANSWER
Start at 1 and go up. No 0s, and no negatives.
Integers -
CORRECT|ANSWER
All whole numbers and their negatives
Equation -
CORRECT|ANSWER
There is an equal sign
Expression -
CORRECT|ANSWER
, No equal sign
Function -
CORRECT|ANSWER
Passes the vertical line test. Every x value has exactly 1 y value. A sideways parabola
(y=squarerootofx) is not
Ratio -
CORRECT|ANSWER
A fraction that compares two numbers
Properties of addition and subtractiln -
CORRECT|ANSWER
Know commutative, associative, inverse (5 + -5 = 0), multiplicative inverse (5 • 1/5 = 1) aka
reciprocal, etc.
Proportion -
CORRECT|ANSWER
Two ratios set equal to each other. An equation with fractions
Cartesion coordinate system -
CORRECT|ANSWER
Coordinate plane, four quadrants. (On a graph, make a C. Top right, top left, bottom left, bottom
right.)
X axis -
CORRECT|ANSWER
Horizontal. First in an ordered pair
Y acis -
CORRECT|ANSWER
Vertical. Second in an ordered pair
QUESTIONS AND ANSWERS COMPILATION, VERIFIED
SOLUTIONS WITH DETAILED EXPLANATIONS | 2026/2027 UPDATE
|GRADED A+
Irrational numbers -
CORRECT|ANSWER
A nonrepeating, nonterminating decimal. It cannot be written as a fraction. Pi is an example. Square
root of 17 is an example.
Rational number -
CORRECT|ANSWER
Any number that can be written as a fraction. Terminates or repeats. An example is 1/3.
Whole numbers -
CORRECT|ANSWER
whole numbers start at 0 and only go up. Negative numbers are not in the set of whole numbers.
Natural numbers -
CORRECT|ANSWER
Start at 1 and go up. No 0s, and no negatives.
Integers -
CORRECT|ANSWER
All whole numbers and their negatives
Equation -
CORRECT|ANSWER
There is an equal sign
Expression -
CORRECT|ANSWER
, No equal sign
Function -
CORRECT|ANSWER
Passes the vertical line test. Every x value has exactly 1 y value. A sideways parabola
(y=squarerootofx) is not
Ratio -
CORRECT|ANSWER
A fraction that compares two numbers
Properties of addition and subtractiln -
CORRECT|ANSWER
Know commutative, associative, inverse (5 + -5 = 0), multiplicative inverse (5 • 1/5 = 1) aka
reciprocal, etc.
Proportion -
CORRECT|ANSWER
Two ratios set equal to each other. An equation with fractions
Cartesion coordinate system -
CORRECT|ANSWER
Coordinate plane, four quadrants. (On a graph, make a C. Top right, top left, bottom left, bottom
right.)
X axis -
CORRECT|ANSWER
Horizontal. First in an ordered pair
Y acis -
CORRECT|ANSWER
Vertical. Second in an ordered pair
