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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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 way to measure how far away a given individual result is from the average result.
Solution
Standard Deviation
Axiomatic Systems
Invarient
2. Einstein's famous theory - relates gravity to the curvature of spacetime.
Composite Numbers
Public Key Encryption
Multiplying both Sides of an Equation by the Same Quantity
General Relativity
3. A + (-a) = (-a) + a = 0
Additive Inverse:
Expected Value
the set of natural numbers
Fourier Analysis and Synthesis
4. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Cardinality
Overtone
division
Figurate Numbers
5. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Non-Euclidian Geometry
Standard Deviation
De Bruijn Sequence
Topology
6. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).
Associate Property of Addition
Dividing both Sides of an Equation by the Same Quantity
Public Key Encryption
Continuous Symmetry
7. If a and b are any whole numbers - then a
Greatest Common Factor (GCF)
Sign Rules for Division
Commutative Property of Multiplication
Multiplication by Zero
8. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Division is not Commutative
Markov Chains
In Euclidean four-space
Tone
9. When writing mathematical statements - follow the mantra:
One equal sign per line
does not change the solution set.
Frequency
Rational
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).
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 inverse of subtraction is addition
Rational
A number is divisible by 9
11. A point in three-dimensional space requires three numbers to fix its location.
Spaceland
Division by Zero
Commensurability
Amplitude
12. 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.
Irrational
Equivalent Equations
Associative Property of Multiplication:
Principal Curvatures
13. Positive integers are
Multiplication by Zero
counting numbers
Primes
Figurate Numbers
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
Frequency
General Relativity
Associative Property of Multiplication:
the set of natural numbers
15. If a whole number is not a prime number - then it is called a...
Composite Numbers
Conditional Probability
The Commutative Property of Addition
Additive Identity:
16. 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.
Transfinite
Factor Trees
Galois Theory
Poincare Disk
17. Dimension is how mathematicians express the idea of degrees of freedom
Greatest Common Factor (GCF)
prime factors
Dimension
B - 125 = 1200
18. 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.
Permutation
Greatest Common Factor (GCF)
Hyperbolic Geometry
Frequency
19. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Solve the Equation
A number is divisible by 5
Answer the Question
Tone
20. The study of shape from an external perspective.
Equation
repeated addition
Associate Property of Addition
Extrinsic View
21. Is a symbol (usually a letter) that stands for a value that may vary.
Variable
The Prime Number Theorem
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
Commutative Property of Addition:
22. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
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
Multiplication by Zero
Non-Euclidian Geometry
Continuous
23. Solving Equations
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
Factor Tree Alternate Approach
Multiplicative Identity:
Wave Equation
24. A · 1 = 1 · a = a
Solve the Equation
Multiplicative Identity:
The Riemann Hypothesis
the set of natural numbers
25. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
The Same
Associate Property of Addition
Fourier Analysis and Synthesis
Genus
26. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
A prime number
A number is divisible by 5
Discrete
bar graph
27. Is the shortest string that contains all possible permutations of a particular length from a given set.
Associative Property of Multiplication:
Continuous Symmetry
General Relativity
De Bruijn Sequence
28. Originally known as analysis situs
Extrinsic View
Topology
Non-Orientability
One equal sign per line
29. 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
perimeter
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
Least Common Multiple (LCM)
Division is not Commutative
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 -
Associate Property of Addition
The inverse of subtraction is addition
Line Land
Prime Deserts
31. Perform all additions and subtractions in the order presented
Central Limit Theorem
left to right
Least Common Multiple (LCM)
Galton Board
32. Arise from the attempt to measure all quantities with a common unit of measure.
Pigeonhole Principle
Rational
Spherical Geometry
per line
33. The process of taking a complicated signal and breaking it into sine and cosine components.
Normal Distribution
Commensurability
The Same
Fourier Analysis
34. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Composite Numbers
Figurate Numbers
Discrete
Rarefactior
35. 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
Factor Trees
Spherical Geometry
The Commutative Property of Addition
˜
36. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
Unique Factorization Theorem
Fourier Analysis
Distributive Property:
The Additive Identity Property
37. A · b = b · a
Products and Factors
Commutative Property of Multiplication:
each whole number can be uniquely decomposed into products of primes.
Normal Distribution
38. Is a path that visits every node in a graph and ends where it began.
Multiplicative Inverse:
a
each whole number can be uniquely decomposed into products of primes.
Hamilton Cycle
39. This method can create a flat map from a curved surface while preserving all angles in any features present.
Non-Euclidian Geometry
Stereographic Projection
Geometry
Axiomatic Systems
40. Requirements for Word Problem Solutions.
Box Diagram
Commutative Property of Multiplication:
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Complete Graph
41. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
Distributive Property:
The Kissing Circle
perimeter
Fundamental Theorem of Arithmetic
42. (a + b) + c = a + (b + c)
Associative Property of Addition:
Geometry
Primes
Non-Orientability
43. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Problem of the Points
Equation
Public Key Encryption
Answer the Question
44. 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
The inverse of subtraction is addition
bar graph
Equivalent Equations
45. A + b = b + a
Commutative Property of Addition:
Standard Deviation
Figurate Numbers
A number is divisible by 10
46. In the expression 3
Composite Numbers
Products and Factors
Polynomial
variable
47. 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
division
Pigeonhole Principle
Primes
Extrinsic View
48. Let a - b - and c be any whole numbers. Then - a
Euler Characteristic
Division is not Associative
The Distributive Property (Subtraction)
Dividing both Sides of an Equation by the Same Quantity
49. If a = b then
Answer the Question
Euclid's Postulates
Dividing both Sides of an Equation by the Same Quantity
a - c = b - c
50. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in
Invarient
Answer the Question
Law of Large Numbers
Prime Number