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. 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
Group
Irrational
Exponents
Multiplicative Inverse:
2. 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.
Topology
Expected Value
˜
Modular Arithmetic
3. 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.
Flat Land
Bijection
Ramsey Theory
Associative Property of Addition:
4. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
a · c = b · c for c does not equal 0
each whole number can be uniquely decomposed into products of primes.
Rational
Line Land
5. 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)
The inverse of multiplication is division
Commensurability
Exponents
Division is not Commutative
6. An important part of problem solving is identifying
a - c = b - c
variable
Permutation
Principal Curvatures
7. Division by zero is undefined. Each of the expressions 6
Division by Zero
Fundamental Theorem of Arithmetic
a
Divisible
8. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
The Kissing Circle
Continuous Symmetry
Figurate Numbers
Conditional Probability
9. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Box Diagram
Fourier Analysis
Hypersphere
The Additive Identity Property
10. 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
A number is divisible by 3
The inverse of subtraction is addition
counting numbers
perimeter
11. If a = b then
a · c = b · c for c does not equal 0
Rational
Box Diagram
Figurate Numbers
12. Positive integers are
counting numbers
Expected Value
a divided by b
˜
13. A flat map of hyperbolic space.
perimeter
Continuous
Solution
Poincare Disk
14. 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.
set
Symmetry
Sign Rules for Division
Solution
15. A
Polynomial
Configuration Space
Division is not Commutative
Solve the Equation
16. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
General Relativity
division
The Associative Property of Multiplication
17. Determines the likelihood of events that are not independent of one another.
Genus
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Conditional Probability
A number is divisible by 9
18. (a + b) + c = a + (b + c)
The Riemann Hypothesis
Principal Curvatures
Associative Property of Addition:
Discrete
19. When writing mathematical statements - follow the mantra:
Fourier Analysis
One equal sign per line
Standard Deviation
division
20. An algebraic 'sentence' containing an unknown quantity.
Polynomial
Multiplying both Sides of an Equation by the Same Quantity
the set of natural numbers
Amplitude
21. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
Associative Property of Multiplication:
Public Key Encryption
˜
22. N = {1 - 2 - 3 - 4 - 5 - . . .}.
the set of natural numbers
Grouping Symbols
Factor Trees
a · c = b · c for c does not equal 0
23. Rules for Rounding - To round a number to a particular place - follow these steps:
bar graph
A prime number
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
Grouping Symbols
24. 4 more than a certain number is 12
4 + x = 12
Principal Curvatures
Set up an Equation
Associate Property of Addition
25. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Associative Property of Addition:
Set up a Variable Dictionary.
Standard Deviation
Commutative Property of Addition:
26. 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
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Multiplying both Sides of an Equation by the Same Quantity
Amplitude
Distributive Property:
27. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.
Non-Orientability
Normal Distribution
Continuous
Associative Property of Addition:
28. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
a
Factor Tree Alternate Approach
Configuration Space
29. (a · b) · c = a · (b · c)
Non-Euclidian Geometry
Cardinality
Modular Arithmetic
Associative Property of Multiplication:
30. 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 -
Amplitude
Solution
The inverse of subtraction is addition
Hypersphere
31. 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
a - c = b - c
Equation
The Set of Whole Numbers
32. This method can create a flat map from a curved surface while preserving all angles in any features present.
Law of Large Numbers
Stereographic Projection
repeated addition
Set up a Variable Dictionary.
33. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Tone
Spherical Geometry
The inverse of addition is subtraction
per line
34. × - ( )( ) - · - 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
Noether's Theorem
The inverse of addition is subtraction
Equivalent Equations
Multiplication
35. 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.
Prime Number
The BML Traffic Model
A number is divisible by 9
bar graph
36. A graph in which every node is connected to every other node is called a complete graph.
Complete Graph
left to right
Rarefactior
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
37. 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).
Irrational
A number is divisible by 3
Discrete
Denominator
38. Writing Mathematical equations - arrange your work one equation
Exponents
per line
left to right
Grouping Symbols
39. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Expected Value
Bijection
Ramsey Theory
Solve the Equation
40. If a = b then
The BML Traffic Model
Probability
Hypercube
a
41. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
each whole number can be uniquely decomposed into products of primes.
Markov Chains
Normal Distribution
Cardinality
42. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Greatest Common Factor (GCF)
Spherical Geometry
Set up an Equation
Poincare Disk
43. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.
Geometry
Complete Graph
Exponents
In Euclidean four-space
44. The study of shape from an external perspective.
Extrinsic View
Polynomial
Markov Chains
Fundamental Theorem of Arithmetic
45. 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).
Prime Number
Pigeonhole Principle
Fundamental Theorem of Arithmetic
each whole number can be uniquely decomposed into products of primes.
46. 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
Division is not Associative
Euler Characteristic
Multiplicative Inverse:
Look Back
47. All integers are thus divided into three classes:
Continuous Symmetry
1. The unit 2. Prime numbers 3. Composite numbers
Factor Trees
A prime number
48. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
counting numbers
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Sign Rules for Division
49. The system that Euclid used in The Elements
Hyperland
Invarient
Associative Property of Addition:
Axiomatic Systems
50. Cannot be written as a ratio of natural numbers.
Problem of the Points
Commutative Property of Multiplication:
Irrational
Polynomial