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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 famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
Hypersphere
The Riemann Hypothesis
Additive Identity:
Comparison Property
2. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Solution
Euler Characteristic
Markov Chains
The Commutative Property of Addition
3. Original Balance minus River Tam's Withdrawal is Current Balance
B - 125 = 1200
Countable
Denominator
Extrinsic View
4. 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.
does not change the solution set.
The Associative Property of Multiplication
repeated addition
The Kissing Circle
5. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a
Frequency
Fundamental Theorem of Arithmetic
variable
Multiplying both Sides of an Equation by the Same Quantity
6. (a
Ramsey Theory
Least Common Multiple (LCM)
Division is not Associative
Additive Identity:
7. Is the shortest string that contains all possible permutations of a particular length from a given set.
Multiplication by Zero
De Bruijn Sequence
Look Back
A number is divisible by 3
8. 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
Division is not Commutative
B - 125 = 1200
Polynomial
9. An important part of problem solving is identifying
variable
Genus
Expected Value
Multiplicative Identity:
10. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Line Land
Central Limit Theorem
Hyperbolic Geometry
Prime Deserts
11. Originally known as analysis situs
per line
Commutative Property of Multiplication:
Conditional Probability
Topology
12. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Hyperland
Division is not Associative
Dimension
Continuous
13. A + 0 = 0 + a = a
Composite Numbers
Associative Property of Multiplication:
Conditional Probability
Additive Identity:
14. A factor tree is a way to visualize a number's
Genus
prime factors
The Additive Identity Property
Hyperbolic Geometry
15. 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
Multiplicative Inverse:
a
perimeter
Divisible
16. 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.
Intrinsic View
Multiplication by Zero
Irrational
Dividing both Sides of an Equation by the Same Quantity
17. 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
Least Common Multiple (LCM)
Look Back
Probability
Standard Deviation
18. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called
The Set of Whole Numbers
bar graph
The inverse of subtraction is addition
Commutative Property of Addition:
19. A topological invariant that relates a surface's vertices - edges - and faces.
Associate Property of Addition
Irrational
Prime Number
Euler Characteristic
20. Add and subtract
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
Fundamental Theorem of Arithmetic
De Bruijn Sequence
inline
21. 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
Hypercube
Distributive Property:
Frequency
The BML Traffic Model
22. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
In Euclidean four-space
counting numbers
Divisible
23. The fundamental theorem of arithmetic says that
Galton Board
Non-Orientability
Euler Characteristic
each whole number can be uniquely decomposed into products of primes.
24. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Probability
Continuous
Variable
Discrete
25. If a and b are any whole numbers - then a
The Commutative Property of Addition
Countable
The inverse of addition is subtraction
Commutative Property of Multiplication
26. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Law of Large Numbers
Genus
Galois Theory
Equation
27. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).
does not change the solution set.
Exponents
A number is divisible by 3
B - 125 = 1200
28. A flat map of hyperbolic space.
One equal sign per line
Poincare Disk
Expected Value
Cardinality
29. A · 1 = 1 · a = a
Genus
Markov Chains
Multiplicative Identity:
Pigeonhole Principle
30. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Comparison Property
Sign Rules for Division
Additive Inverse:
Variable
31. Means approximately equal.
˜
Figurate Numbers
Unique Factorization Theorem
The Multiplicative Identity Property
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).
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
Prime Number
Exponents
Fourier Analysis and Synthesis
33. Determines the likelihood of events that are not independent of one another.
Commensurability
In Euclidean four-space
Conditional Probability
Modular Arithmetic
34. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Multiplicative Inverse:
Amplitude
Hyperland
Problem of the Points
35. If a = b then
a · c = b · c for c does not equal 0
prime factors
Noether's Theorem
Hyperland
36. 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.
Invarient
Greatest Common Factor (GCF)
bar graph
Fourier Analysis
37. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Invarient
Genus
Answer the Question
38. Uses second derivatives to relate acceleration in space to acceleration in time.
Wave Equation
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.
Overtone
Noether's Theorem
39. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'
Divisible
Associative Property of Multiplication:
General Relativity
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
40. A topological object that can be used to study the allowable states of a given system.
Configuration Space
Fourier Analysis
Division by Zero
Continuous
41. The study of shape from the perspective of being on the surface of the shape.
Intrinsic View
General Relativity
Hypersphere
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
42. Negative
Spherical Geometry
One equal sign per line
4 + x = 12
Sign Rules for Division
43. 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
Genus
Unique Factorization Theorem
Sign Rules for Division
Group
44. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
The Kissing Circle
Fourier Analysis
Flat Land
Amplitude
45. If a whole number is not a prime number - then it is called a...
Group
Irrational
The Associative Property of Multiplication
Composite Numbers
46. 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
Hyperland
a
Division by Zero
Answer the Question
47. 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
Problem of the Points
The Distributive Property (Subtraction)
Least Common Multiple (LCM)
Probability
48. Writing Mathematical equations - arrange your work one equation
per line
Equation
Grouping Symbols
Prime Number
49. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Prime Deserts
Euclid's Postulates
Hyperland
The Commutative Property of Addition
50. The surface of a standard 'donut shape'.
Hypercube
The inverse of subtraction is addition
Divisible
Torus