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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. This method can create a flat map from a curved surface while preserving all angles in any features present.
Stereographic Projection
˜
The Additive Identity Property
Composite Numbers
2. A way to measure how far away a given individual result is from the average result.
Euclid's Postulates
Distributive Property:
Line Land
Standard Deviation
3. Add and subtract
Normal Distribution
set
inline
Additive Inverse:
4. 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.
Multiplication
Multiplicative Identity:
Commutative Property of Addition:
bar graph
5. A factor tree is a way to visualize a number's
Group
Flat Land
Permutation
prime factors
6. 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
a + c = b + c
Solve the Equation
Hypersphere
Least Common Multiple (LCM)
7. 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
Associative Property of Addition:
Non-Orientability
division
8. If a = b then
a - c = b - c
Multiplicative Identity:
Galton Board
Invarient
9. 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
Symmetry
Frequency
Division by Zero
Galton Board
10. 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.
Products and Factors
Transfinite
Periodic Function
Markov Chains
11. A + 0 = 0 + a = a
Additive Identity:
Associative Property of Multiplication:
Flat Land
Continuous
12. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.
Commutative Property of Multiplication
a + c = b + c
Continuous Symmetry
Associate Property of Addition
13. If a - b - and c are any whole numbers - then a
The Associative Property of Multiplication
Factor Trees
Genus
Poincare Disk
14. Aka The Osculating Circle - a way to measure the curvature of a line.
Normal Distribution
the set of natural numbers
The Same
The Kissing Circle
15. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Configuration Space
The Same
The Set of Whole Numbers
Comparison Property
16. 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.
Bijection
Associative Property of Addition:
Commutative Property of Multiplication:
Prime Deserts
17. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Overtone
Torus
One equal sign per line
Divisible
18. Rules for Rounding - To round a number to a particular place - follow these steps:
Stereographic Projection
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
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
The Commutative Property of Addition
19. Uses second derivatives to relate acceleration in space to acceleration in time.
does not change the solution set.
Denominator
Discrete
Wave Equation
20. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Cayley's Theorem
Probability
Countable
21. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Continuous
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
˜
The Additive Identity Property
22. 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
The inverse of multiplication is division
perimeter
The Kissing Circle
23. Index p radicand
A number is divisible by 10
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Conditional Probability
Principal Curvatures
24. Two equations if they have the same solution set.
Poincare Disk
Hyperland
Equivalent Equations
Solve the Equation
25. You must always solve the equation set up in the previous step.
Irrational
The Associative Property of Multiplication
Solve the Equation
Extrinsic View
26. Writing Mathematical equations - arrange your work one equation
Division is not Commutative
per line
Primes
Fourier Analysis
27. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
A number is divisible by 9
Tone
repeated addition
Equivalent Equations
28. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
Noether's Theorem
The Distributive Property (Subtraction)
The Set of Whole Numbers
Galton Board
29. 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
Principal Curvatures
Multiplication by Zero
30. 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
Galton Board
Look Back
does not change the solution set.
The Multiplicative Identity Property
31. 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.
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
One equal sign per line
Exponents
Hyperbolic Geometry
32. Let a - b - and c be any whole numbers. Then - a
Factor Trees
Symmetry
The Distributive Property (Subtraction)
Prime Deserts
33. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.
Group
Primes
In Euclidean four-space
Polynomial
34. Perform all additions and subtractions in the order presented
Prime Number
The Additive Identity Property
Modular Arithmetic
left to right
35. 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.
The Multiplicative Identity Property
repeated addition
Modular Arithmetic
Prime Deserts
36. If its final digit is a 0.
Configuration Space
each whole number can be uniquely decomposed into products of primes.
Multiplicative Inverse:
A number is divisible by 10
37. Means approximately equal.
General Relativity
˜
left to right
Bijection
38. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that
Modular Arithmetic
The inverse of addition is subtraction
Irrational
Hypercube
39. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.
Box Diagram
The Kissing Circle
Multiplication by Zero
Commensurability
40. 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 -
Commensurability
variable
The inverse of subtraction is addition
Transfinite
41. Let a and b represent two whole numbers. Then - a + b = b + a.
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
The Commutative Property of Addition
Line Land
42. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Central Limit Theorem
Comparison Property
Multiplicative Identity:
Countable
43. Arise from the attempt to measure all quantities with a common unit of measure.
Fundamental Theorem of Arithmetic
The inverse of subtraction is addition
Rational
Principal Curvatures
44. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
Transfinite
Equivalent Equations
Irrational
45. If its final digit is a 0 or 5.
Hyperbolic Geometry
Non-Orientability
A number is divisible by 5
The Associative Property of Multiplication
46. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Line Land
a + c = b + c
Normal Distribution
variable
47. A topological object that can be used to study the allowable states of a given system.
A number is divisible by 9
Dimension
Configuration Space
Multiplicative Inverse:
48. 1. Find the prime factorizations of each number.
Public Key Encryption
Flat Land
Dividing both Sides of an Equation by the Same Quantity
Greatest Common Factor (GCF)
49. The state of appearing unchanged.
Invarient
a + c = b + c
The inverse of subtraction is addition
Line Land
50. A number is divisible by 2
Continuous
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Galois Theory
Permutation