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. 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.
Commutative Property of Multiplication
Spherical Geometry
Hyperbolic Geometry
Greatest Common Factor (GCF)
2. A point in three-dimensional space requires three numbers to fix its location.
Permutation
Periodic Function
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.
Spaceland
3. When writing mathematical statements - follow the mantra:
One equal sign per line
Frequency
Standard Deviation
the set of natural numbers
4. A + (-a) = (-a) + a = 0
A number is divisible by 3
Additive Inverse:
Additive Identity:
In Euclidean four-space
5. A · 1/a = 1/a · a = 1
The Associative Property of Multiplication
Set up an Equation
Multiplicative Inverse:
Poincare Disk
6. A way to measure how far away a given individual result is from the average result.
Standard Deviation
Tone
Ramsey Theory
The Set of Whole Numbers
7. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Stereographic Projection
Ramsey Theory
The Associative Property of Multiplication
Problem of the Points
8. 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
Look Back
Division by Zero
Division is not Associative
The Distributive Property (Subtraction)
9. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Division is not Commutative
Unique Factorization Theorem
The BML Traffic Model
10. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Commensurability
Topology
The Set of Whole Numbers
Irrational
11. 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
Products and Factors
Hyperbolic Geometry
Associative Property of Multiplication:
Least Common Multiple (LCM)
12. If a represents any whole number - then a
per line
Divisible
Set up an Equation
Multiplication by Zero
13. A topological object that can be used to study the allowable states of a given system.
A number is divisible by 9
Configuration Space
Non-Orientability
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
14. The fundamental theorem of arithmetic says that
Products and Factors
Multiplication by Zero
each whole number can be uniquely decomposed into products of primes.
1. The unit 2. Prime numbers 3. Composite numbers
15. 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.
Exponents
The inverse of multiplication is division
Continuous
Galton Board
16. 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.
Set up an Equation
Solve the Equation
The Additive Identity Property
Modular Arithmetic
17. 1. Find the prime factorizations of each number.
Bijection
Hyperland
Greatest Common Factor (GCF)
Rational
18. 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.
Spherical Geometry
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
Composite Numbers
Greatest Common Factor (GCF)
19. Cannot be written as a ratio of natural numbers.
Distributive Property:
Irrational
Topology
Products and Factors
20. Is a symbol (usually a letter) that stands for a value that may vary.
One equal sign per line
Equivalent Equations
Variable
Properties of Equality
21. 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.
Irrational
Set up an Equation
Bijection
Pigeonhole Principle
22. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
Extrinsic View
Invarient
The Same
each whole number can be uniquely decomposed into products of primes.
23. To describe and extend a numerical pattern
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.
Polynomial
1. The unit 2. Prime numbers 3. Composite numbers
Dimension
24. All integers are thus divided into three classes:
Figurate Numbers
Genus
1. The unit 2. Prime numbers 3. Composite numbers
Prime Deserts
25. 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
General Relativity
a + c = b + c
Transfinite
26. 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 Distributive Property (Subtraction)
Hypersphere
Cardinality
27. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Markov Chains
Line Land
Dividing both Sides of an Equation by the Same Quantity
Commutative Property of Multiplication
28. 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
Noether's Theorem
Euler Characteristic
Answer the Question
Greatest Common Factor (GCF)
29. 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
Comparison Property
Division is not Associative
Sign Rules for Division
The inverse of multiplication is division
30. Uses second derivatives to relate acceleration in space to acceleration in time.
Commutative Property of Multiplication:
bar graph
The inverse of addition is subtraction
Wave Equation
31. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Least Common Multiple (LCM)
Normal Distribution
Galton Board
Irrational
32. Multiplication is equivalent to
Rational
Multiplication by Zero
repeated addition
Dividing both Sides of an Equation by the Same Quantity
33. The system that Euclid used in The Elements
Products and Factors
Markov Chains
Axiomatic Systems
Fourier Analysis
34. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
B - 125 = 1200
Hyperbolic Geometry
set
35. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
perimeter
In Euclidean four-space
Hyperbolic Geometry
The Associative Property of Multiplication
36. A factor tree is a way to visualize a number's
Hypercube
the set of natural numbers
1. The unit 2. Prime numbers 3. Composite numbers
prime factors
37. A · 1 = 1 · a = a
Solve the Equation
The Multiplicative Identity Property
Intrinsic View
Multiplicative Identity:
38. 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
Divisible
Greatest Common Factor (GCF)
Non-Euclidian Geometry
39. If a = b then
a · c = b · c for c does not equal 0
The BML Traffic Model
Central Limit Theorem
Aleph-Null
40. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
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 Prime Number Theorem
Central Limit Theorem
The inverse of addition is subtraction
41. 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.
Galton Board
bar graph
division
evaluate the expression in the innermost pair of grouping symbols first.
42. Aka The Osculating Circle - a way to measure the curvature of a line.
Solve the Equation
The Kissing Circle
Aleph-Null
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.
43. 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
Frequency
Rarefactior
a · c = b · c for c does not equal 0
Cayley's Theorem
44. The expression a/b means
Dimension
Galton Board
a divided by b
Configuration Space
45. Perform all additions and subtractions in the order presented
perimeter
Continuous Symmetry
left to right
Multiplicative Inverse:
46. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.
The BML Traffic Model
Galois Theory
Law of Large Numbers
A number is divisible by 9
47. A + 0 = 0 + a = a
Commutative Property of Multiplication:
Additive Inverse:
Additive Identity:
Euclid's Postulates
48. If a whole number is not a prime number - then it is called a...
Comparison Property
Division by Zero
Composite Numbers
Standard Deviation
49. If a - b - and c are any whole numbers - then a
Extrinsic View
The Associative Property of Multiplication
Multiplying both Sides of an Equation by the Same Quantity
repeated addition
50. 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
Spaceland
Permutation
Prime Number