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. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Flat Land
Continuous Symmetry
Commutative Property of Multiplication:
a
2. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Sign Rules for Division
Bijection
Markov Chains
set
3. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
The Multiplicative Identity Property
Exponents
Rational
Expected Value
4. 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
5. The state of appearing unchanged.
Unique Factorization Theorem
Conditional Probability
Invarient
counting numbers
6. A point in three-dimensional space requires three numbers to fix its location.
Ramsey Theory
Spaceland
Configuration Space
bar graph
7. Arise from the attempt to measure all quantities with a common unit of measure.
Division is not Associative
Fundamental Theorem of Arithmetic
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Rational
8. Let a - b - and c be any whole numbers. Then - a
Multiplicative Inverse:
Exponents
Polynomial
The Distributive Property (Subtraction)
9. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Denominator
a + c = b + c
Factor Tree Alternate Approach
Continuous
10. (a
Division is not Associative
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Fundamental Theorem of Arithmetic
repeated addition
11. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
˜
The Additive Identity Property
Intrinsic View
Cayley's Theorem
12. Is the shortest string that contains all possible permutations of a particular length from a given set.
A number is divisible by 10
De Bruijn Sequence
Denominator
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
13. A · b = b · a
Commutative Property of Multiplication:
Configuration Space
Axiomatic Systems
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
14. Multiplication is equivalent to
Non-Orientability
repeated addition
Rarefactior
Normal Distribution
15. N = {1 - 2 - 3 - 4 - 5 - . . .}.
De Bruijn Sequence
Least Common Multiple (LCM)
the set of natural numbers
Poincare Disk
16. Is a symbol (usually a letter) that stands for a value that may vary.
a
Variable
counting numbers
Cardinality
17. A number is divisible by 2
Galois Theory
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Equation
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
18. If its final digit is a 0 or 5.
A number is divisible by 5
Poincare Disk
Discrete
Genus
19. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.
The Additive Identity Property
each whole number can be uniquely decomposed into products of primes.
Spherical Geometry
Topology
20. When writing mathematical statements - follow the mantra:
The inverse of addition is subtraction
Frequency
Division by Zero
One equal sign per line
21. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.
bar graph
Poincare Disk
Solve the Equation
One equal sign per line
22. The process of taking a complicated signal and breaking it into sine and cosine components.
Hypercube
The inverse of addition is subtraction
Fourier Analysis
Divisible
23. Negative
Exponents
Group
The Riemann Hypothesis
Sign Rules for Division
24. 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.
Modular Arithmetic
Rarefactior
Normal Distribution
each whole number can be uniquely decomposed into products of primes.
25. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in
Law of Large Numbers
Galois Theory
Set up an Equation
Answer the Question
26. In the expression 3
Products and Factors
Solution
Variable
The Same
27. A + 0 = 0 + a = a
Additive Identity:
Central Limit Theorem
a + c = b + c
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
28. Rules for Rounding - To round a number to a particular place - follow these steps:
Additive Inverse:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Geometry
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
29. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'
inline
Flat Land
Primes
The Prime Number Theorem
30. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t
4 + x = 12
perimeter
Fundamental Theorem of Arithmetic
Prime Deserts
31. The system that Euclid used in The Elements
a - c = b - c
Amplitude
Axiomatic Systems
The BML Traffic Model
32. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Rational
Fourier Analysis and Synthesis
Dimension
Figurate Numbers
33. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -
The inverse of addition is subtraction
Solution
Fourier Analysis
prime factors
34. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Line Land
Prime Deserts
Equation
The inverse of subtraction is addition
35. (a · b) · c = a · (b · c)
Associative Property of Multiplication:
Symmetry
A number is divisible by 5
repeated addition
36. A · 1/a = 1/a · a = 1
Fundamental Theorem of Arithmetic
Law of Large Numbers
Aleph-Null
Multiplicative Inverse:
37. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.
Unique Factorization Theorem
Division by Zero
Associative Property of Addition:
Wave Equation
38. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).
A number is divisible by 3
The inverse of subtraction is addition
Ramsey Theory
Additive Inverse:
39. Perform all additions and subtractions in the order presented
Symmetry
Topology
left to right
Cardinality
40. Are the fundamental building blocks of arithmetic.
Configuration Space
Primes
Modular Arithmetic
Rational
41. To describe and extend a numerical pattern
Multiplication by Zero
De Bruijn Sequence
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.
a - c = b - c
42. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
43. The inverse of multiplication
Invarient
The Same
Dimension
division
44. (a + b) + c = a + (b + c)
Associative Property of Addition:
a + c = b + c
Geometry
Additive Inverse:
45. The study of shape from an external perspective.
Law of Large Numbers
De Bruijn Sequence
Extrinsic View
Commutative Property of Addition:
46. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
Warning
: Invalid argument supplied for foreach() in
/var/www/html/basicversity.com/show_quiz.php
on line
183
47. Index p radicand
A number is divisible by 3
Spaceland
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Composite Numbers
48. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Multiplicative Identity:
left to right
The Multiplicative Identity Property
Periodic Function
49. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo
Poincare Disk
Pigeonhole Principle
General Relativity
Comparison Property
50. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Group
Exponents
Set up an Equation
Normal Distribution