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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. Requirements for Word Problem Solutions.
inline
Hyperland
per line
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
2. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
Central Limit Theorem
Hyperland
Continuous Symmetry
Standard Deviation
3. 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
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Composite Numbers
Tone
4. (a + b) + c = a + (b + c)
Associative Property of Addition:
4 + x = 12
Discrete
a divided by b
5. 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.
A number is divisible by 5
Solve the Equation
Euler Characteristic
bar graph
6. 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 -
The inverse of addition is subtraction
Grouping Symbols
Line Land
Distributive Property:
7. If its final digit is a 0.
A number is divisible by 10
Conditional Probability
Poincare Disk
The Associative Property of Multiplication
8. Means approximately equal.
Commutative Property of Addition:
˜
Look Back
Hamilton Cycle
9. If a = b then
Associative Property of Addition:
Galois Theory
a - c = b - c
Standard Deviation
10. Negative
Denominator
Sign Rules for Division
Factor Tree Alternate Approach
The Distributive Property (Subtraction)
11. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
A number is divisible by 10
Irrational
Complete Graph
Problem of the Points
12. A · 1 = 1 · a = a
a · c = b · c for c does not equal 0
Multiplicative Identity:
Rarefactior
evaluate the expression in the innermost pair of grouping symbols first.
13. A factor tree is a way to visualize a number's
Spherical Geometry
Associative Property of Multiplication:
Noether's Theorem
prime factors
14. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.
The Commutative Property of Addition
Factor Trees
The Same
Genus
15. Original Balance minus River Tam's Withdrawal is Current Balance
a
B - 125 = 1200
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Divisible
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
a divided by b
Hyperland
Noether's Theorem
17. If its final digit is a 0 or 5.
the set of natural numbers
A number is divisible by 5
Hyperland
In Euclidean four-space
18. The amount of displacement - as measured from the still surface line.
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
Amplitude
Configuration Space
repeated addition
19. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.
Cardinality
Spaceland
Periodic Function
Irrational
20. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Irrational
Equivalent Equations
Markov Chains
Commutative Property of Addition:
21. Mathematical statement that equates two mathematical expressions.
Bijection
Wave Equation
Probability
Equation
22. Perform all additions and subtractions in the order presented
left to right
Hypersphere
Bijection
Intrinsic View
23. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab
Set up a Variable Dictionary.
The Kissing Circle
repeated addition
Euler Characteristic
24. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is
Commutative Property of Multiplication
Prime Number
The Same
Noether's Theorem
25. All integers are thus divided into three classes:
Countable
Prime Number
Symmetry
1. The unit 2. Prime numbers 3. Composite numbers
26. 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.
Prime Deserts
Galton Board
Dividing both Sides of an Equation by the Same Quantity
Multiplication by Zero
27. If a represents any whole number - then a
The Same
repeated addition
Multiplication by Zero
Multiplicative Identity:
28. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.
Normal Distribution
Multiplying both Sides of an Equation by the Same Quantity
Bijection
Prime Number
29. Determines the likelihood of events that are not independent of one another.
Conditional Probability
Probability
1. The unit 2. Prime numbers 3. Composite numbers
The Associative Property of Multiplication
30. Add and subtract
a divided by b
inline
Cardinality
Multiplying both Sides of an Equation by the Same Quantity
31. 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.
Divisible
A prime number
The Prime Number Theorem
Bijection
32. A
Normal Distribution
does not change the solution set.
Division is not Commutative
1. The unit 2. Prime numbers 3. Composite numbers
33. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Associative Property of Addition:
Properties of Equality
Products and Factors
Prime Number
34. 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
˜
Least Common Multiple (LCM)
division
Factor Trees
35. N = {1 - 2 - 3 - 4 - 5 - . . .}.
the set of natural numbers
Geometry
Division is not Associative
Divisible
36. The expression a/b means
a divided by b
Figurate Numbers
Transfinite
a · c = b · c for c does not equal 0
37. 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.
Least Common Multiple (LCM)
Solution
Non-Orientability
Sign Rules for Division
38. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.
Irrational
Euclid's Postulates
Line Land
Set up a Variable Dictionary.
39. Solving Equations
Frequency
The BML Traffic Model
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
The inverse of addition is subtraction
40. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression
Line Land
Division is not Associative
1. The unit 2. Prime numbers 3. Composite numbers
Rarefactior
41. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Hyperland
Periodic Function
Division by Zero
Torus
42. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t
The Commutative Property of Addition
Euclid's Postulates
Factor Tree Alternate Approach
Spherical Geometry
43. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
set
Associative Property of Addition:
Hamilton Cycle
does not change the solution set.
44. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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45. 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.
Fourier Analysis
Multiplication by Zero
Hamilton Cycle
Ramsey Theory
46. When writing mathematical statements - follow the mantra:
Comparison Property
Additive Identity:
One equal sign per line
Overtone
47. 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
a · c = b · c for c does not equal 0
perimeter
Irrational
Multiplicative Inverse:
48. This method can create a flat map from a curved surface while preserving all angles in any features present.
Stereographic Projection
Galois Theory
Bijection
Wave Equation
49. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.
Fourier Analysis and Synthesis
The Commutative Property of Addition
Multiplication by Zero
Problem of the Points
50. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Discrete
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.
Principal Curvatures
Comparison Property