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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
left to right
Associative Property of Addition:
Set up an Equation
Fundamental Theorem of Arithmetic
2. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.
Divisible
Irrational
Frequency
In Euclidean four-space
3. Original Balance minus River Tam's Withdrawal is Current Balance
Box Diagram
B - 125 = 1200
The Kissing Circle
Galton Board
4. Let a - b - and c be any whole numbers. Then - a
The Distributive Property (Subtraction)
Stereographic Projection
The Set of Whole Numbers
Set up an Equation
5. A topological invariant that relates a surface's vertices - edges - and faces.
Euler Characteristic
The Commutative Property of Addition
Fundamental Theorem of Arithmetic
Aleph-Null
6. A · 1 = 1 · a = a
De Bruijn Sequence
Periodic Function
Multiplicative Identity:
Probability
7. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
The Riemann Hypothesis
The Additive Identity Property
division
Rational
8. If a = b then
Rational
a
Figurate Numbers
Irrational
9. Index p radicand
1. The unit 2. Prime numbers 3. Composite numbers
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Associative Property of Addition:
Hamilton Cycle
10. The amount of displacement - as measured from the still surface line.
The Multiplicative Identity Property
Amplitude
Multiplying both Sides of an Equation by the Same Quantity
˜
11. A factor tree is a way to visualize a number's
prime factors
Noether's Theorem
Flat Land
Exponents
12. A point in three-dimensional space requires three numbers to fix its location.
Spaceland
Axiomatic Systems
Hyperbolic Geometry
Denominator
13. If a represents any whole number - then a
Set up an Equation
Comparison Property
Multiplication by Zero
Tone
14. 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
inline
Multiplication
Least Common Multiple (LCM)
Fundamental Theorem of Arithmetic
15. 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
The Additive Identity Property
Set up a Variable Dictionary.
Rational
Division is not Associative
16. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
Hyperbolic Geometry
Non-Orientability
In Euclidean four-space
17. The inverse of multiplication
Geometry
per line
A number is divisible by 10
division
18. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
each whole number can be uniquely decomposed into products of primes.
Comparison Property
One equal sign per line
The Prime Number Theorem
19. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.
Hypersphere
Public Key Encryption
Expected Value
repeated addition
20. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Dividing both Sides of an Equation by the Same Quantity
Hypersphere
Additive Inverse:
The Multiplicative Identity Property
21. 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
Pigeonhole Principle
1. The unit 2. Prime numbers 3. Composite numbers
Amplitude
Commutative Property of Multiplication
22. (a + b) + c = a + (b + c)
Associative Property of Addition:
Associate Property of Addition
Transfinite
Multiplicative Identity:
23. 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 -
Hyperbolic Geometry
per line
Box Diagram
The inverse of addition is subtraction
24. Negative
Extrinsic View
Sign Rules for Division
Group
Fourier Analysis
25. Is the shortest string that contains all possible permutations of a particular length from a given set.
Noether's Theorem
De Bruijn Sequence
Hyperbolic Geometry
Properties of Equality
26. 1. Find the prime factorizations of each number.
Multiplicative Identity:
Group
˜
Greatest Common Factor (GCF)
27. N = {1 - 2 - 3 - 4 - 5 - . . .}.
Flat Land
Division by Zero
the set of natural numbers
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
28. If its final digit is a 0 or 5.
Galois Theory
A number is divisible by 5
Non-Euclidian Geometry
Least Common Multiple (LCM)
29. 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.
Solution
Modular Arithmetic
prime factors
The inverse of subtraction is addition
30. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Grouping Symbols
Hypercube
evaluate the expression in the innermost pair of grouping symbols first.
Stereographic Projection
31. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
a
4 + x = 12
Expected Value
32. ____________ 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
Spherical Geometry
Probability
Problem of the Points
a - c = b - c
33. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Figurate Numbers
Probability
Multiplying both Sides of an Equation by the Same Quantity
does not change the solution set.
34. 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.
Exponents
bar graph
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Prime Number
35. 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.
left to right
Law of Large Numbers
Stereographic Projection
Frequency
36. 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.'
A prime number
Invarient
Fundamental Theorem of Arithmetic
Hyperland
37. Aka The Osculating Circle - a way to measure the curvature of a line.
Extrinsic View
Principal Curvatures
Denominator
The Kissing Circle
38. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.
Principal Curvatures
Transfinite
Multiplication
division
39. Rules for Rounding - To round a number to a particular place - follow these steps:
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
a · c = b · c for c does not equal 0
Fundamental Theorem of Arithmetic
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
40. Writing Mathematical equations - arrange your work one equation
Associate Property of Addition
Look Back
per line
A number is divisible by 5
41. Two equations if they have the same solution set.
Poincare Disk
Equivalent Equations
division
bar graph
42. Einstein's famous theory - relates gravity to the curvature of spacetime.
General Relativity
Dividing both Sides of an Equation by the Same Quantity
The inverse of subtraction is addition
Irrational
43. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Continuous
Rational
Cayley's Theorem
Properties of Equality
44. 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.
counting numbers
Periodic Function
Solution
Pigeonhole Principle
45. If its final digit is a 0.
Prime Deserts
Group
A number is divisible by 10
Multiplication
46. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
Spaceland
Solve the Equation
Equivalent Equations
47. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
Problem of the Points
perimeter
Bijection
48. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
Polynomial
Flat Land
Euclid's Postulates
49. 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.
The Multiplicative Identity Property
De Bruijn Sequence
Bijection
Distributive Property:
50. If a = b then
Non-Orientability
Normal Distribution
a - c = b - c
Set up an Equation