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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. You must always solve the equation set up in the previous step.
Figurate Numbers
Solve the Equation
Products and Factors
Axiomatic Systems
2. Are the fundamental building blocks of arithmetic.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
B - 125 = 1200
Primes
Multiplication by Zero
3. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Dimension
Box Diagram
Central Limit Theorem
Law of Large Numbers
4. The fundamental theorem of arithmetic says that
evaluate the expression in the innermost pair of grouping symbols first.
each whole number can be uniquely decomposed into products of primes.
Line Land
Equation
5. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
The Riemann Hypothesis
The Kissing Circle
Probability
One equal sign per line
6. If its final digit is a 0.
Products and Factors
Torus
Continuous Symmetry
A number is divisible by 10
7. Let a - b - and c be any whole numbers. Then - a
perimeter
Fourier Analysis and Synthesis
The Distributive Property (Subtraction)
The BML Traffic Model
8. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Problem of the Points
Associative Property of Addition:
In Euclidean four-space
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.
9. Aka The Osculating Circle - a way to measure the curvature of a line.
Set up an Equation
Dimension
The Kissing Circle
Symmetry
10. If a whole number is not a prime number - then it is called a...
variable
Composite Numbers
Commutative Property of Multiplication
Additive Identity:
11. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
Symmetry
Public Key Encryption
Law of Large Numbers
Distributive Property:
12. Arise from the attempt to measure all quantities with a common unit of measure.
Hypersphere
Rational
Spaceland
Continuous Symmetry
13. Writing Mathematical equations - arrange your work one equation
Central Limit Theorem
Dividing both Sides of an Equation by the Same Quantity
Non-Orientability
per line
14. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
˜
The Commutative Property of Addition
Prime Deserts
Multiplying both Sides of an Equation by the Same Quantity
15. 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.
Intrinsic View
Amplitude
Solution
The Additive Identity Property
16. 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 -
Multiplicative Identity:
Products and Factors
Transfinite
The inverse of addition is subtraction
17. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Hamilton Cycle
Flat Land
Group
Hypercube
18. The study of shape from the perspective of being on the surface of the shape.
Continuous
Public Key Encryption
Intrinsic View
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
19. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or
Symmetry
Divisible
Genus
Galton Board
20. Uses second derivatives to relate acceleration in space to acceleration in time.
Set up a Variable Dictionary.
Least Common Multiple (LCM)
Wave Equation
perimeter
21. 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
Euclid's Postulates
Flat Land
The Set of Whole Numbers
perimeter
22. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
Countable
Spaceland
The Prime Number Theorem
Grouping Symbols
23. A · b = b · a
Commutative Property of Multiplication:
Line Land
a divided by b
Geometry
24. 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
The inverse of multiplication is division
Euler Characteristic
A number is divisible by 5
per line
25. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Box Diagram
Continuous
Geometry
Commutative Property of Addition:
26. If a = b then
The inverse of subtraction is addition
Division by Zero
inline
a - c = b - c
27. 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
General Relativity
Problem of the Points
Group
Hypercube
28. ____________ 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 Distributive Property (Subtraction)
Probability
Divisible
Group
29. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Greatest Common Factor (GCF)
The inverse of multiplication is division
Polynomial
30. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Central Limit Theorem
Answer the Question
Intrinsic View
Noether's Theorem
31. Let a and b represent two whole numbers. Then - a + b = b + a.
The Commutative Property of Addition
Irrational
Normal Distribution
Greatest Common Factor (GCF)
32. Positive integers are
counting numbers
Fourier Analysis and Synthesis
Hypercube
Pigeonhole Principle
33. A graph in which every node is connected to every other node is called a complete graph.
Complete Graph
Non-Orientability
Normal Distribution
Extrinsic View
34. 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.
Invarient
Equivalent Equations
Modular Arithmetic
Problem of the Points
35. 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.
Variable
Transfinite
Stereographic Projection
Euclid's Postulates
36. A number is divisible by 2
Answer the Question
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Pigeonhole Principle
Figurate Numbers
37. 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.
The inverse of multiplication is division
Non-Orientability
Rational
Multiplicative Inverse:
38. 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.
Hyperbolic Geometry
Tone
4 + x = 12
The Additive Identity Property
39. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
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.
Associate Property of Addition
division
40. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Countable
The Additive Identity Property
Equation
4 + x = 12
41. To describe and extend a numerical pattern
Countable
evaluate the expression in the innermost pair of grouping symbols first.
Spaceland
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.
42. 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.
Rarefactior
Bijection
Normal Distribution
Discrete
43. (a · b) · c = a · (b · c)
Permutation
Associative Property of Multiplication:
Rational
A prime number
44. A · 1 = 1 · a = a
Exponents
Multiplicative Identity:
The inverse of multiplication is division
Composite Numbers
45. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Fundamental Theorem of Arithmetic
Line Land
A prime number
Countable
46. A · 1/a = 1/a · a = 1
Geometry
Multiplicative Inverse:
Line Land
Topology
47. 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
The inverse of addition is subtraction
Transfinite
Dimension
48. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina
A number is divisible by 9
Ramsey Theory
Factor Trees
Galois Theory
49. Mathematical statement that equates two mathematical expressions.
Unique Factorization Theorem
a
Public Key Encryption
Equation
50. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
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