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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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. Dimension is how mathematicians express the idea of degrees of freedom
Dimension
The Prime Number Theorem
Answer the Question
Ramsey Theory
2. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Denominator
Primes
4 + x = 12
3. (a · b) · c = a · (b · c)
Sign Rules for Division
The Distributive Property (Subtraction)
Aleph-Null
Associative Property of Multiplication:
4. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
a
Set up an Equation
The Additive Identity Property
A number is divisible by 9
5. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Modular Arithmetic
Box Diagram
Torus
Associate Property of Addition
6. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
Axiomatic Systems
One equal sign per line
Hyperbolic Geometry
7. Requirements for Word Problem Solutions.
Additive Identity:
Central Limit Theorem
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Hypercube
8. (a + b) + c = a + (b + c)
Distributive Property:
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Variable
Associative Property of Addition:
9. The process of taking a complicated signal and breaking it into sine and cosine components.
Divisible
Fourier Analysis
Exponents
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
10. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
inline
Solve the Equation
a · c = b · c for c does not equal 0
Aleph-Null
11. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Frequency
Countable
Topology
Permutation
12. Are the fundamental building blocks of arithmetic.
variable
Multiplying both Sides of an Equation by the Same Quantity
Stereographic Projection
Primes
13. An important part of problem solving is identifying
variable
A number is divisible by 10
Law of Large Numbers
Irrational
14. An algebraic 'sentence' containing an unknown quantity.
Solution
Properties of Equality
1. The unit 2. Prime numbers 3. Composite numbers
Polynomial
15. Means approximately equal.
Spaceland
˜
a · c = b · c for c does not equal 0
Public Key Encryption
16. 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.
Euler Characteristic
Irrational
Permutation
bar graph
17. Two equations if they have the same solution set.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Equivalent Equations
Hyperland
A number is divisible by 3
18. Rules for Rounding - To round a number to a particular place - follow these steps:
Modular Arithmetic
The Additive Identity Property
repeated addition
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
19. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco
The inverse of subtraction is addition
A number is divisible by 3
Fourier Analysis
Look Back
20. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).
One equal sign per line
Prime Number
Prime Deserts
Discrete
21. 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.'
Properties of Equality
Hyperland
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Poincare Disk
22. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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23. The expression a/b means
Line Land
inline
a divided by b
Non-Orientability
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.
Multiplication
Noether's Theorem
Irrational
A prime number
25. Writing Mathematical equations - arrange your work one equation
Geometry
per line
Permutation
Non-Orientability
26. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Division by Zero
Overtone
Flat Land
a + c = b + c
27. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Variable
Continuous
left to right
Multiplication
28. A topological object that can be used to study the allowable states of a given system.
Configuration Space
Conditional Probability
Set up an Equation
Equivalent Equations
29. 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.
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
Normal Distribution
The Associative Property of Multiplication
Intrinsic View
30. If its final digit is a 0 or 5.
The Kissing Circle
A number is divisible by 5
A number is divisible by 9
Additive Inverse:
31. A way to measure how far away a given individual result is from the average result.
Box Diagram
a divided by b
Standard Deviation
a - c = b - c
32. Mathematical statement that equates two mathematical expressions.
B - 125 = 1200
Equation
evaluate the expression in the innermost pair of grouping symbols first.
Prime Number
33. Let a and b represent two whole numbers. Then - a + b = b + a.
The Commutative Property of Addition
Division by Zero
The BML Traffic Model
Symmetry
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.
Ramsey Theory
bar graph
Extrinsic View
Fourier Analysis
35. Has no factors other than 1 and itself
Euclid's Postulates
Permutation
Configuration Space
A prime number
36. Multiplication is equivalent to
Associative Property of Multiplication:
Frequency
repeated addition
Grouping Symbols
37. A + (-a) = (-a) + a = 0
Principal Curvatures
Composite Numbers
Additive Inverse:
Polynomial
38. Originally known as analysis situs
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.
Figurate Numbers
Topology
Tone
39. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
The Distributive Property (Subtraction)
A number is divisible by 9
Factor Trees
The Riemann Hypothesis
40. Perform all additions and subtractions in the order presented
The Riemann Hypothesis
left to right
variable
Non-Orientability
41. 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)
Torus
Commensurability
General Relativity
Additive Identity:
42. A · 1/a = 1/a · a = 1
Commutative Property of Addition:
Hypercube
Box Diagram
Multiplicative Inverse:
43. Aka The Osculating Circle - a way to measure the curvature of a line.
does not change the solution set.
The Kissing Circle
A number is divisible by 9
Discrete
44. If a = b then
The Distributive Property (Subtraction)
Divisible
Sign Rules for Division
a - c = b - c
45. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Dimension
Fourier Analysis
˜
Prime Deserts
46. Add and subtract
Multiplication
inline
Invarient
Set up an Equation
47. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.
Comparison Property
Division is not Associative
does not change the solution set.
Public Key Encryption
48. If a = b then
Noether's Theorem
Poincare Disk
A number is divisible by 3
a
49. To describe and extend a numerical pattern
Box Diagram
Hypercube
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.
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
50. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.
Bijection
Unique Factorization Theorem
Geometry
Galois Theory