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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. 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
Countable
Least Common Multiple (LCM)
Amplitude
A number is divisible by 9
2. 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).
Prime Number
Axiomatic Systems
The inverse of addition is subtraction
the set of natural numbers
3. Mathematical statement that equates two mathematical expressions.
Prime Deserts
Commensurability
Equation
Law of Large Numbers
4. If its final digit is a 0 or 5.
Genus
per line
Law of Large Numbers
A number is divisible by 5
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.
Grouping Symbols
Flat Land
bar graph
Products and Factors
6. 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
The inverse of multiplication is division
Euclid's Postulates
A number is divisible by 9
7. A + (-a) = (-a) + a = 0
Grouping Symbols
Flat Land
Additive Inverse:
The Distributive Property (Subtraction)
8. The inverse of multiplication
Factor Tree Alternate Approach
Pigeonhole Principle
Dividing both Sides of an Equation by the Same Quantity
division
9. Dimension is how mathematicians express the idea of degrees of freedom
Dimension
Conditional Probability
Hamilton Cycle
Countable
10. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.
Law of Large Numbers
Continuous
Amplitude
division
11. Is a path that visits every node in a graph and ends where it began.
Fundamental Theorem of Arithmetic
Permutation
Hamilton Cycle
Pigeonhole Principle
12. The state of appearing unchanged.
Invarient
Galton Board
Commutative Property of Addition:
a - c = b - c
13. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.
Fundamental Theorem of Arithmetic
Equation
Exponents
division
14. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of
Division is not Associative
Properties of Equality
The Multiplicative Identity Property
Hypersphere
15. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Associate Property of Addition
division
Tone
Solve the Equation
16. Multiplication is equivalent to
Amplitude
The Riemann Hypothesis
Spherical Geometry
repeated addition
17. 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.
Markov Chains
Normal Distribution
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Complete Graph
18. 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
evaluate the expression in the innermost pair of grouping symbols first.
Symmetry
each whole number can be uniquely decomposed into products of primes.
Standard Deviation
19. This method can create a flat map from a curved surface while preserving all angles in any features present.
Answer the Question
Stereographic Projection
Additive Inverse:
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.
20. A topological object that can be used to study the allowable states of a given system.
Configuration Space
Commensurability
Grouping Symbols
inline
21. Collection of objects. list all the objects in the set and enclosing the list in curly braces.
set
Genus
A number is divisible by 9
Tone
22. 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
Composite Numbers
Commutative Property of Multiplication
Hyperland
Multiplying both Sides of an Equation by the Same Quantity
23. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even
Symmetry
Multiplication
prime factors
the set of natural numbers
24. Perform all additions and subtractions in the order presented
B - 125 = 1200
left to right
Set up a Variable Dictionary.
Multiplicative Identity:
25. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
The Additive Identity Property
The inverse of multiplication is division
Flat Land
26. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)
Additive Inverse:
Commensurability
Least Common Multiple (LCM)
The inverse of addition is subtraction
27. Has no factors other than 1 and itself
Euler Characteristic
Properties of Equality
Line Land
A prime number
28. (a
Division is not Associative
Non-Orientability
Composite Numbers
does not change the solution set.
29. 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.
a divided by b
Distributive Property:
division
Hyperbolic Geometry
30. A + b = b + a
Hypercube
Commutative Property of Addition:
Fourier Analysis and Synthesis
evaluate the expression in the innermost pair of grouping symbols first.
31. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Dimension
˜
Fundamental Theorem of Arithmetic
Law of Large Numbers
32. A + 0 = 0 + a = a
The Set of Whole Numbers
Hypercube
Additive Identity:
Normal Distribution
33. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
variable
Markov Chains
Group
Continuous
34. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A
35. A graph in which every node is connected to every other node is called a complete graph.
Galton Board
Primes
Dimension
Complete Graph
36. 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.
a
Frequency
Commensurability
Cardinality
37. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
Prime Deserts
Division by Zero
The Set of Whole Numbers
38. All integers are thus divided into three classes:
Public Key Encryption
Solution
1. The unit 2. Prime numbers 3. Composite numbers
Multiplication
39. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Galois Theory
Countable
Modular Arithmetic
Central Limit Theorem
40. You must always solve the equation set up in the previous step.
Solve the Equation
One equal sign per line
Commutative Property of Addition:
Prime Deserts
41. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Transfinite
Ramsey Theory
Standard Deviation
42. Division by zero is undefined. Each of the expressions 6
Box Diagram
Division by Zero
Equation
Multiplicative Inverse:
43. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.
Markov Chains
Greatest Common Factor (GCF)
left to right
Commutative Property of Multiplication
44. If a = b then
Irrational
a divided by b
Group
a · c = b · c for c does not equal 0
45. 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.
Continuous Symmetry
Hyperland
The Kissing Circle
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
46. Writing Mathematical equations - arrange your work one equation
a · c = b · c for c does not equal 0
Euclid's Postulates
per line
left to right
47. In the expression 3
Rational
Products and Factors
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
perimeter
48. Positive integers are
Equivalent Equations
counting numbers
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.
Denominator
49. A(b + c) = a · b + a · c a(b - c) = a · b - a · c
Complete Graph
Aleph-Null
Distributive Property:
Normal Distribution
50. Let a - b - and c be any whole numbers. Then - a
Grouping Symbols
Sign Rules for Division
4 + x = 12
The Distributive Property (Subtraction)