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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(b + c) = a · b + a · c a(b - c) = a · b - a · c
Noether's Theorem
Distributive Property:
Public Key Encryption
Frequency
2. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Problem of the Points
Overtone
Composite Numbers
Primes
3. Add and subtract
inline
Markov Chains
Associative Property of Multiplication:
Law of Large Numbers
4. Is a path that visits every node in a graph and ends where it began.
Fourier Analysis
General Relativity
Hamilton Cycle
The Set of Whole Numbers
5. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Rational
Sign Rules for Division
Markov Chains
The Set of Whole Numbers
6. An arrangement where order matters.
Problem of the Points
Permutation
Factor Tree Alternate Approach
Fourier Analysis
7. Negative
Sign Rules for Division
Primes
Wave Equation
The Set of Whole Numbers
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
Invarient
Hyperland
Fundamental Theorem of Arithmetic
9. The expression a/b means
a divided by b
Fourier Analysis
The inverse of subtraction is addition
Problem of the Points
10. Dimension is how mathematicians express the idea of degrees of freedom
Division is not Associative
a · c = b · c for c does not equal 0
Principal Curvatures
Dimension
11. Originally known as analysis situs
Spaceland
Topology
Primes
Set up a Variable Dictionary.
12. The amount of displacement - as measured from the still surface line.
Divisible
Amplitude
Galton Board
Permutation
13. Rules for Rounding - To round a number to a particular place - follow these steps:
The inverse of addition is subtraction
Galton Board
Cayley's Theorem
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. A · 1 = 1 · a = a
Rational
The inverse of addition is subtraction
Multiplicative Identity:
The Commutative Property of Addition
15. If a and b are any whole numbers - then a
a - c = b - c
Prime Number
Commutative Property of Multiplication
Composite Numbers
16. Original Balance minus River Tam's Withdrawal is Current Balance
Configuration Space
Factor Trees
Multiplication by Zero
B - 125 = 1200
17. Multiplication is equivalent to
Irrational
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
counting numbers
repeated addition
18. 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
Overtone
Group
Additive Identity:
the set of natural numbers
19. 1. Find the prime factorizations of each number.
Poincare Disk
Grouping Symbols
perimeter
Greatest Common Factor (GCF)
20. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Hyperland
Rarefactior
set
Stereographic Projection
21. If a is any whole number - then a
The Multiplicative Identity Property
Group
Hamilton Cycle
In Euclidean four-space
22. 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
The Riemann Hypothesis
Properties of Equality
The Multiplicative Identity Property
Pigeonhole Principle
23. A + 0 = 0 + a = a
Solve the Equation
Additive Identity:
Stereographic Projection
Box Diagram
24. 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
Grouping Symbols
The Associative Property of Multiplication
per line
25. 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.
Public Key Encryption
The Set of Whole Numbers
Division by Zero
The Prime Number Theorem
26. In the expression 3
Continuous
Comparison Property
Products and Factors
Associative Property of Multiplication:
27. A factor tree is a way to visualize a number's
prime factors
Geometry
One equal sign per line
The inverse of subtraction is addition
28. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.
Topology
does not change the solution set.
Principal Curvatures
Division by Zero
29. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Tone
repeated addition
Equation
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.
30. If its final digit is a 0 or 5.
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
left to right
Non-Euclidian Geometry
A number is divisible by 5
31. 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.
Dividing both Sides of an Equation by the Same Quantity
Equivalent Equations
Permutation
Hypersphere
32. Mathematical statement that equates two mathematical expressions.
Law of Large Numbers
Set up an Equation
Hamilton Cycle
Equation
33. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
The Distributive Property (Subtraction)
Frequency
Irrational
Euler Characteristic
34. An important part of problem solving is identifying
Figurate Numbers
Symmetry
variable
Commutative Property of Multiplication
35. A graph in which every node is connected to every other node is called a complete graph.
Complete Graph
Hypersphere
Invarient
Grouping Symbols
36. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
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.
Overtone
Hyperbolic Geometry
Grouping Symbols
37. 4 more than a certain number is 12
each whole number can be uniquely decomposed into products of primes.
4 + x = 12
A number is divisible by 3
Multiplication
38. 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.
Wave Equation
Bijection
Solution
Euler Characteristic
39. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
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.
Public Key Encryption
The Additive Identity Property
Periodic Function
40. Has no factors other than 1 and itself
Look Back
Factor Tree Alternate Approach
A prime number
evaluate the expression in the innermost pair of grouping symbols first.
41. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Associate Property of Addition
Euclid's Postulates
Variable
Set up an Equation
42. If grouping symbols are nested
Frequency
Euler Characteristic
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
evaluate the expression in the innermost pair of grouping symbols first.
43. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
4 + x = 12
Additive Identity:
Conditional Probability
Aleph-Null
44. Are the fundamental building blocks of arithmetic.
prime factors
Answer the Question
Primes
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
45. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Factor Tree Alternate Approach
per line
Multiplication by Zero
Non-Euclidian Geometry
46. A · 1/a = 1/a · a = 1
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Answer the Question
Polynomial
Multiplicative Inverse:
47. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Dividing both Sides of an Equation by the Same Quantity
Permutation
Properties of Equality
Non-Orientability
48. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
Associate Property of Addition
Multiplication
Commutative Property of Multiplication:
Flat Land
49. Determines the likelihood of events that are not independent of one another.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Conditional Probability
The Associative Property of Multiplication
Line Land
50. 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
A number is divisible by 10
Topology
Answer the Question
Spaceland