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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. Perform all additions and subtractions in the order presented
Rational
left to right
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
Markov Chains
2. A + (-a) = (-a) + a = 0
Non-Euclidian Geometry
Division is not Associative
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.
Additive Inverse:
3. Original Balance minus River Tam's Withdrawal is Current Balance
Invarient
Axiomatic Systems
a · c = b · c for c does not equal 0
B - 125 = 1200
4. Rules for Rounding - To round a number to a particular place - follow these steps:
Prime Deserts
Continuous
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
Stereographic Projection
5. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Continuous
Prime Deserts
Equation
Products and Factors
6. 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.
Solution
Modular Arithmetic
Central Limit Theorem
Topology
7. 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
Multiplying both Sides of an Equation by the Same Quantity
Continuous
The Riemann Hypothesis
De Bruijn Sequence
8. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.
A number is divisible by 9
1. The unit 2. Prime numbers 3. Composite numbers
Principal Curvatures
prime factors
9. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Law of Large Numbers
Factor Trees
Box Diagram
Associative Property of Addition:
10. 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 -
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.
The inverse of subtraction is addition
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Associate Property of Addition
11. The expression a/b means
inline
A number is divisible by 9
a divided by b
Fourier Analysis and Synthesis
12. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
Set up an Equation
Discrete
Aleph-Null
Rarefactior
13. Two equations if they have the same solution set.
Composite Numbers
counting numbers
Equivalent Equations
Pigeonhole Principle
14. Aka The Osculating Circle - a way to measure the curvature of a line.
The Kissing Circle
Divisible
Configuration Space
Factor Trees
15. Originally known as analysis situs
A prime number
One equal sign per line
Standard Deviation
Topology
16. All integers are thus divided into three classes:
Greatest Common Factor (GCF)
a · c = b · c for c does not equal 0
Commutative Property of Addition:
1. The unit 2. Prime numbers 3. Composite numbers
17. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator
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
The Distributive Property (Subtraction)
Denominator
18. (a + b) + c = a + (b + c)
Hamilton Cycle
De Bruijn Sequence
Associative Property of Addition:
Invarient
19. Requirements for Word Problem Solutions.
The inverse of addition is subtraction
Overtone
Divisible
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
20. Division by zero is undefined. Each of the expressions 6
Law of Large Numbers
Irrational
Dimension
Division by Zero
21. 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
perimeter
Tone
evaluate the expression in the innermost pair of grouping symbols first.
Group
22. A flat map of hyperbolic space.
Fourier Analysis
Poincare Disk
Frequency
Genus
23. 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.'
Hyperland
A number is divisible by 3
Cardinality
Commutative Property of Multiplication:
24. 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.
4 + x = 12
The Prime Number Theorem
Permutation
Dividing both Sides of an Equation by the Same Quantity
25. 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
Standard Deviation
perimeter
division
Associative Property of Addition:
26. Negative
The Additive Identity Property
Line Land
Sign Rules for Division
The inverse of subtraction is addition
27. Arise from the attempt to measure all quantities with a common unit of measure.
The inverse of subtraction is addition
Ramsey Theory
Rational
does not change the solution set.
28. 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.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Markov Chains
Public Key Encryption
One equal sign per line
29. A factor tree is a way to visualize a number's
Multiplication
prime factors
Frequency
Extrinsic View
30. If a is any whole number - then a
Look Back
The Multiplicative Identity Property
Frequency
Sign Rules for Division
31. If a and b are any whole numbers - then a
Spaceland
Commutative Property of Multiplication
Configuration Space
Stereographic Projection
32. Index p radicand
Spaceland
Division is not Commutative
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Wave Equation
33. When writing mathematical statements - follow the mantra:
One equal sign per line
Greatest Common Factor (GCF)
Conditional Probability
Configuration Space
34. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Grouping Symbols
the set of natural numbers
Products and Factors
Poincare Disk
35. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Line Land
Division is not Associative
Rarefactior
Probability
36. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Division by Zero
Configuration Space
4 + x = 12
The Additive Identity Property
37. If a = b then
The Commutative Property of Addition
Commutative Property of Multiplication:
a
prime factors
38. You must always solve the equation set up in the previous step.
Solve the Equation
Least Common Multiple (LCM)
Torus
Euler Characteristic
39. Add and subtract
Fundamental Theorem of Arithmetic
Fourier Analysis and Synthesis
inline
Stereographic Projection
40. Is the shortest string that contains all possible permutations of a particular length from a given set.
Commutative Property of Multiplication
De Bruijn Sequence
Rational
Non-Orientability
41. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Rational
Additive Inverse:
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Associate Property of Addition
42. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Transfinite
Central Limit Theorem
Exponents
Hypersphere
43. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Probability
Fundamental Theorem of Arithmetic
repeated addition
Fourier Analysis and Synthesis
44. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Continuous
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.
Spherical Geometry
Periodic Function
45. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Products and Factors
Modular Arithmetic
Division by Zero
Properties of Equality
46. ____________ 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
A number is divisible by 9
Amplitude
Intrinsic View
47. If a = b then
Answer the Question
Wave Equation
a - c = b - c
inline
48. A graph in which every node is connected to every other node is called a complete graph.
In Euclidean four-space
variable
Complete Graph
Problem of the Points
49. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Invarient
Countable
Commensurability
A number is divisible by 5
50. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
Division is not Commutative
The BML Traffic Model
Figurate Numbers
Cardinality