SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
Start Test
Study First
Subjects
:
clep
,
math
,
algebra
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. An algebraic 'sentence' containing an unknown quantity.
Fourier Analysis
Hyperland
repeated addition
Polynomial
2. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Hypersphere
The Additive Identity Property
Factor Trees
bar graph
3. The study of shape from an external perspective.
Hypercube
Commensurability
Extrinsic View
Unique Factorization Theorem
4. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
the set of natural numbers
Equivalent Equations
Properties of Equality
Division is not Commutative
5. A point in three-dimensional space requires three numbers to fix its location.
Poincare Disk
Commensurability
Spaceland
Euclid's Postulates
6. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a
Cardinality
Flat Land
Multiplying both Sides of an Equation by the Same Quantity
Countable
7. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
8. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu
Products and Factors
Group
Axiomatic Systems
Fourier Analysis and Synthesis
9. The surface of a standard 'donut shape'.
a - c = b - c
Torus
Galton Board
The Kissing Circle
10. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.
Principal Curvatures
Exponents
Continuous
Rational
11. N = {1 - 2 - 3 - 4 - 5 - . . .}.
Set up a Variable Dictionary.
Fourier Analysis and Synthesis
the set of natural numbers
1. Simplify the expression on either side of the equation. 2. Gather the variable term on the left-hand side (LHS) by adding to both sides. the opposite of the variable term on the right-hand side (RHS). Note: either side is fine but we will consiste
12. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t
Box Diagram
Factor Tree Alternate Approach
Non-Orientability
repeated addition
13. (a + b) + c = a + (b + c)
division
The Same
The Associative Property of Multiplication
Associative Property of Addition:
14. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Euclid's Postulates
Multiplicative Inverse:
Additive Identity:
Fourier Analysis and Synthesis
15. A · 1 = 1 · a = a
˜
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
The inverse of subtraction is addition
Multiplicative Identity:
16. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Galois Theory
Equation
In Euclidean four-space
Euclid's Postulates
17. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
Probability
The inverse of subtraction is addition
Multiplicative Inverse:
the set of natural numbers
18. Determines the likelihood of events that are not independent of one another.
Modular Arithmetic
Conditional Probability
Look Back
Fundamental Theorem of Arithmetic
19. Mathematical statement that equates two mathematical expressions.
evaluate the expression in the innermost pair of grouping symbols first.
a divided by b
Spherical Geometry
Equation
20. If a = b then
a · c = b · c for c does not equal 0
Hypercube
Fourier Analysis
Conditional Probability
21. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.
Solution
Galton Board
a + c = b + c
Modular Arithmetic
22. The inverse of multiplication
evaluate the expression in the innermost pair of grouping symbols first.
left to right
Variable
division
23. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
Fourier Analysis and Synthesis
division
Cayley's Theorem
Factor Trees
24. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Stereographic Projection
Division by Zero
set
Irrational
25. A topological object that can be used to study the allowable states of a given system.
Configuration Space
The Set of Whole Numbers
One equal sign per line
Equation
26. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Hyperland
1. Mark the place you wish to round to. This is called the rounding digit . 2. Check the next digit to the right of your digit marked in step 1. This is called the test digit . If the test digit is greater than or equal to 5 - add 1 to the rounding d
The Riemann Hypothesis
Unique Factorization Theorem
27. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com
Permutation
1. Find a relationship between the first and second numbers. 2. Then we see if the relationship is true for the second and third numbers - the third and fourth - and so on.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Frequency
28. Multiplication is equivalent to
Equation
repeated addition
a
Dimension
29. (a
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
does not change the solution set.
Euclid's Postulates
Division is not Associative
30. Let a and b represent two whole numbers. Then - a + b = b + a.
Fourier Analysis and Synthesis
Irrational
The Same
The Commutative Property of Addition
31. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
Primes
Hyperland
Ramsey Theory
Axiomatic Systems
32. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Hypersphere
set
The Same
Group
33. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.
The Prime Number Theorem
Galton Board
1. The unit 2. Prime numbers 3. Composite numbers
Exponents
34. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Wave Equation
Hypersphere
Answer the Question
Ramsey Theory
35. To describe and extend a numerical pattern
Public Key Encryption
Amplitude
1. Find a relationship between the first and second numbers. 2. Then we see if the relationship is true for the second and third numbers - the third and fourth - and so on.
Unique Factorization Theorem
36. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.
a · c = b · c for c does not equal 0
Multiplying both Sides of an Equation by the Same Quantity
each whole number can be uniquely decomposed into products of primes.
Solution
37. Means approximately equal.
A number is divisible by 5
˜
bar graph
Continuous Symmetry
38. If a whole number is not a prime number - then it is called a...
Least Common Multiple (LCM)
Dimension
Composite Numbers
Set up an Equation
39. Aka The Osculating Circle - a way to measure the curvature of a line.
The Kissing Circle
evaluate the expression in the innermost pair of grouping symbols first.
Principal Curvatures
Divisible
40. You must always solve the equation set up in the previous step.
Frequency
Axiomatic Systems
repeated addition
Solve the Equation
41. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
set
Cayley's Theorem
a + c = b + c
Prime Number
42. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Pigeonhole Principle
Noether's Theorem
The Riemann Hypothesis
Prime Deserts
43. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.
Denominator
Public Key Encryption
Principal Curvatures
Geometry
44. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression
Rarefactior
Hypercube
1. Simplify the expression on either side of the equation. 2. Gather the variable term on the left-hand side (LHS) by adding to both sides. the opposite of the variable term on the right-hand side (RHS). Note: either side is fine but we will consiste
a divided by b
45. Has no factors other than 1 and itself
Multiplicative Identity:
Intrinsic View
Properties of Equality
A prime number
46. Perform all additions and subtractions in the order presented
left to right
Group
Irrational
the set of natural numbers
47. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Figurate Numbers
Multiplying both Sides of an Equation by the Same Quantity
Euler Characteristic
The Additive Identity Property
48. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)
Sign Rules for Division
Greatest Common Factor (GCF)
Commensurability
a · c = b · c for c does not equal 0
49. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Associate Property of Addition
Commutative Property of Multiplication
Composite Numbers
left to right
50. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.
Transfinite
prime factors
Modular Arithmetic
Division by Zero
Sorry!:) No result found.
Can you answer 50 questions in 15 minutes?
Let me suggest you:
Browse all subjects
Browse all tests
Most popular tests
Major Subjects
Tests & Exams
AP
CLEP
DSST
GRE
SAT
GMAT
Certifications
CISSP go to https://www.isc2.org/
PMP
ITIL
RHCE
MCTS
More...
IT Skills
Android Programming
Data Modeling
Objective C Programming
Basic Python Programming
Adobe Illustrator
More...
Business Skills
Advertising Techniques
Business Accounting Basics
Business Strategy
Human Resource Management
Marketing Basics
More...
Soft Skills
Body Language
People Skills
Public Speaking
Persuasion
Job Hunting And Resumes
More...
Vocabulary
GRE Vocab
SAT Vocab
TOEFL Essential Vocab
Basic English Words For All
Global Words You Should Know
Business English
More...
Languages
AP German Vocab
AP Latin Vocab
SAT Subject Test: French
Italian Survival
Norwegian Survival
More...
Engineering
Audio Engineering
Computer Science Engineering
Aerospace Engineering
Chemical Engineering
Structural Engineering
More...
Health Sciences
Basic Nursing Skills
Health Science Language Fundamentals
Veterinary Technology Medical Language
Cardiology
Clinical Surgery
More...
English
Grammar Fundamentals
Literary And Rhetorical Vocab
Elements Of Style Vocab
Introduction To English Major
Complete Advanced Sentences
Literature
Homonyms
More...
Math
Algebra Formulas
Basic Arithmetic: Measurements
Metric Conversions
Geometric Properties
Important Math Facts
Number Sense Vocab
Business Math
More...
Other Major Subjects
Science
Economics
History
Law
Performing-arts
Cooking
Logic & Reasoning
Trivia
Browse all subjects
Browse all tests
Most popular tests