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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. A flat map of hyperbolic space.
Primes
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Poincare Disk
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
2. If a whole number is not a prime number - then it is called a...
Composite Numbers
Multiplicative Inverse:
Standard Deviation
repeated addition
3. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Periodic Function
In Euclidean four-space
Hypersphere
4. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Aleph-Null
The inverse of subtraction is addition
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Additive Inverse:
5. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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6. (a + b) + c = a + (b + c)
Probability
Line Land
Modular Arithmetic
Associative Property of Addition:
7. Has no factors other than 1 and itself
Equivalent Equations
Associative Property of Multiplication:
Prime Deserts
A prime number
8. 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.
Galton Board
Set up a Variable Dictionary.
B - 125 = 1200
Solution
9. If grouping symbols are nested
Tone
Complete Graph
evaluate the expression in the innermost pair of grouping symbols first.
Division is not Commutative
10. Is the shortest string that contains all possible permutations of a particular length from a given set.
The Prime Number Theorem
the set of natural numbers
De Bruijn Sequence
Central Limit Theorem
11. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Answer the Question
Grouping Symbols
Division by Zero
Discrete
12. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.
Hyperbolic Geometry
Transfinite
Division is not Associative
Commutative Property of Addition:
13. If a and b are any whole numbers - then a
Commutative Property of Multiplication
division
each whole number can be uniquely decomposed into products of primes.
Public Key Encryption
14. You must always solve the equation set up in the previous step.
set
Commutative Property of Multiplication
Solve the Equation
Invarient
15. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
The Prime Number Theorem
Central Limit Theorem
In Euclidean four-space
Division by Zero
16. The amount of displacement - as measured from the still surface line.
Additive Inverse:
Configuration Space
Amplitude
Prime Number
17. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
Hypersphere
Permutation
Variable
A number is divisible by 9
18. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Group
The Additive Identity Property
a divided by b
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
19. (a
perimeter
Division is not Associative
Comparison Property
prime factors
20. Perform all additions and subtractions in the order presented
Variable
Topology
4 + x = 12
left to right
21. When writing mathematical statements - follow the mantra:
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
One equal sign per line
Public Key Encryption
Transfinite
22. Uses second derivatives to relate acceleration in space to acceleration in time.
the set of natural numbers
Fourier Analysis and Synthesis
Conditional Probability
Wave Equation
23. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Standard Deviation
Aleph-Null
Polynomial
Associate Property of Addition
24. Means approximately equal.
Overtone
˜
Additive Inverse:
General Relativity
25. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Least Common Multiple (LCM)
A number is divisible by 10
Factor Tree Alternate Approach
Discrete
26. Dimension is how mathematicians express the idea of degrees of freedom
Rarefactior
Dimension
Irrational
Amplitude
27. If a = b then
Greatest Common Factor (GCF)
a · c = b · c for c does not equal 0
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
Non-Euclidian Geometry
28. 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
The Kissing Circle
Sign Rules for Division
perimeter
Poincare Disk
29. (a · b) · c = a · (b · c)
Irrational
Dividing both Sides of an Equation by the Same Quantity
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Associative Property of Multiplication:
30. 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
Bijection
The inverse of multiplication is division
Factor Trees
Hyperbolic Geometry
31. 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
Comparison Property
Continuous Symmetry
Cardinality
32. Multiplication is equivalent to
repeated addition
Polynomial
Hypersphere
Galois Theory
33. 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.
Geometry
Periodic Function
Comparison Property
a
34. The expression a/b means
Amplitude
Hamilton Cycle
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
a divided by b
35. 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
Expected Value
Group
The Riemann Hypothesis
the set of natural numbers
36. A + b = b + a
Flat Land
Factor Trees
Commutative Property of Addition:
Markov Chains
37. Determines the likelihood of events that are not independent of one another.
Conditional Probability
prime factors
Associative Property of Multiplication:
Composite Numbers
38. If a represents any whole number - then a
a divided by b
Pigeonhole Principle
Multiplication by Zero
a
39. 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).
Torus
A number is divisible by 3
Extrinsic View
A number is divisible by 9
40. 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.
Hyperland
Associate Property of Addition
Continuous
Unique Factorization Theorem
41. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a
The inverse of multiplication is division
Factor Trees
Axiomatic Systems
a - c = b - c
42. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Torus
Box Diagram
Markov Chains
Composite Numbers
43. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar
A number is divisible by 9
Least Common Multiple (LCM)
Division by Zero
Look Back
44. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.
The Distributive Property (Subtraction)
Grouping Symbols
Transfinite
Dividing both Sides of an Equation by the Same Quantity
45. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
De Bruijn Sequence
Normal Distribution
Tone
set
46. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -
Intrinsic View
Commutative Property of Multiplication:
Comparison Property
The inverse of subtraction is addition
47. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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48. In the expression 3
Group
Multiplicative Identity:
a divided by b
Products and Factors
49. Are the fundamental building blocks of arithmetic.
Poincare Disk
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.
Primes
Hamilton Cycle
50. 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 -
Conditional Probability
Denominator
The inverse of addition is subtraction
Distributive Property: