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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. Writing Mathematical equations - arrange your work one equation
Line Land
The Additive Identity Property
per line
Fourier Analysis
2. Originally known as analysis situs
Topology
General Relativity
Factor Tree Alternate Approach
A prime number
3. If its final digit is a 0.
Spherical Geometry
Non-Euclidian Geometry
A number is divisible by 10
Markov Chains
4. Perform all additions and subtractions in the order presented
Galton Board
a · c = b · c for c does not equal 0
Countable
left to right
5. The fundamental theorem of arithmetic says that
The inverse of multiplication is division
each whole number can be uniquely decomposed into products of primes.
Noether's Theorem
Modular Arithmetic
6. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Modular Arithmetic
Multiplicative Inverse:
Non-Euclidian Geometry
A number is divisible by 9
7. 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.
Figurate Numbers
Modular Arithmetic
a divided by b
Multiplicative Identity:
8. A flat map of hyperbolic space.
Poincare Disk
Spherical Geometry
The Set of Whole Numbers
Grouping Symbols
9. Is the shortest string that contains all possible permutations of a particular length from a given set.
The Riemann Hypothesis
De Bruijn Sequence
Cardinality
Grouping Symbols
10. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).
De Bruijn Sequence
Geometry
A number is divisible by 9
Extrinsic View
11. A graph in which every node is connected to every other node is called a complete graph.
Complete Graph
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.
Associative Property of Multiplication:
Cayley's Theorem
12. A + 0 = 0 + a = a
Additive Identity:
The Additive Identity Property
Intrinsic View
Prime Deserts
13. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Non-Orientability
Exponents
Line Land
14. 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
Extrinsic View
Frequency
a divided by b
Solution
15. 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.
Line Land
Grouping Symbols
Bijection
Complete Graph
16. If its final digit is a 0 or 5.
Genus
a · c = b · c for c does not equal 0
A number is divisible by 5
Complete Graph
17. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Hypersphere
a + c = b + c
Greatest Common Factor (GCF)
18. Rules for Rounding - To round a number to a particular place - follow these steps:
Cardinality
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
Galois Theory
19. The surface of a standard 'donut shape'.
Hamilton Cycle
Torus
Division is not Associative
1. The unit 2. Prime numbers 3. Composite numbers
20. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Continuous Symmetry
The Riemann Hypothesis
Commutative Property of Addition:
does not change the solution set.
21. 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.
Group
Solution
evaluate the expression in the innermost pair of grouping symbols first.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
22. 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.
Principal Curvatures
Prime Deserts
Standard Deviation
Dividing both Sides of an Equation by the Same Quantity
23. 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.
The inverse of multiplication is division
Markov Chains
Fourier Analysis
does not change the solution set.
24. Einstein's famous theory - relates gravity to the curvature of spacetime.
counting numbers
General Relativity
Rational
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
25. 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.
variable
Dividing both Sides of an Equation by the Same Quantity
Markov Chains
Figurate Numbers
26. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
Euclid's Postulates
In Euclidean four-space
The Multiplicative Identity Property
set
27. This method can create a flat map from a curved surface while preserving all angles in any features present.
Stereographic Projection
Composite Numbers
division
Rarefactior
28. In the expression 3
division
Products and Factors
Greatest Common Factor (GCF)
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
29. 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
Set up an Equation
Hypersphere
Line Land
The Set of Whole Numbers
30. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Associate Property of Addition
left to right
inline
Fourier Analysis
31. The process of taking a complicated signal and breaking it into sine and cosine components.
Periodic Function
Fourier Analysis
Properties of Equality
Discrete
32. 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
Hamilton Cycle
Rarefactior
Probability
33. 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
Rational
Overtone
In Euclidean four-space
perimeter
34. ____________ 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
The Riemann Hypothesis
Probability
Non-Euclidian Geometry
Irrational
35. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.
Equivalent Equations
Non-Orientability
The Distributive Property (Subtraction)
Ramsey Theory
36. An algebraic 'sentence' containing an unknown quantity.
Polynomial
Continuous Symmetry
Hyperbolic Geometry
set
37. This result says that the symmetries of geometric objects can be expressed as groups of permutations.
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38. An arrangement where order matters.
Normal Distribution
Permutation
Denominator
Invarient
39. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.
The inverse of multiplication is division
The BML Traffic Model
Unique Factorization Theorem
Invarient
40. Let a and b represent two whole numbers. Then - a + b = b + a.
Flat Land
Overtone
Intrinsic View
The Commutative Property of Addition
41. A
Division is not Commutative
Solution
Rational
Composite Numbers
42. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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43. A number is divisible by 2
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.
Divisible
division
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
44. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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45. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Discrete
The Set of Whole Numbers
Multiplying both Sides of an Equation by the Same Quantity
Probability
46. A factor tree is a way to visualize a number's
prime factors
Factor Trees
repeated addition
The Associative Property of Multiplication
47. Original Balance minus River Tam's Withdrawal is Current Balance
bar graph
1. The unit 2. Prime numbers 3. Composite numbers
A number is divisible by 5
B - 125 = 1200
48. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Poincare Disk
Prime Number
Fundamental Theorem of Arithmetic
variable
49. The amount of displacement - as measured from the still surface line.
Flat Land
B - 125 = 1200
each whole number can be uniquely decomposed into products of primes.
Amplitude
50. Determines the likelihood of events that are not independent of one another.
In Euclidean four-space
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Axiomatic Systems
Conditional Probability