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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 result says that the symmetries of geometric objects can be expressed as groups of permutations.
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2. If a = b then
The inverse of addition is subtraction
Torus
a · c = b · c for c does not equal 0
Genus
3. A way to measure how far away a given individual result is from the average result.
Commutative Property of Multiplication:
evaluate the expression in the innermost pair of grouping symbols first.
1. The unit 2. Prime numbers 3. Composite numbers
Standard Deviation
4. 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.
Tone
Multiplication by Zero
Solution
Law of Large Numbers
5. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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6. 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).
Genus
Extrinsic View
Prime Number
set
7. 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
The Set of Whole Numbers
Answer the Question
Markov Chains
Central Limit Theorem
8. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Polynomial
Periodic Function
Greatest Common Factor (GCF)
Configuration Space
9. The expression a/b means
Products and Factors
A prime number
Multiplicative Identity:
a divided by b
10. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
The inverse of multiplication is division
Non-Euclidian Geometry
Aleph-Null
Standard Deviation
11. 1. Find the prime factorizations of each number.
Variable
repeated addition
Greatest Common Factor (GCF)
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
12. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to
a divided by b
The Associative Property of Multiplication
Multiplicative Identity:
Probability
13. In the expression 3
Symmetry
Products and Factors
left to right
Look Back
14. A topological object that can be used to study the allowable states of a given system.
Configuration Space
Continuous Symmetry
The Commutative Property of Addition
Fundamental Theorem of Arithmetic
15. 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
Hamilton Cycle
Fourier Analysis and Synthesis
Permutation
The inverse of multiplication is division
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.
Periodic Function
a divided by b
Dividing both Sides of an Equation by the Same Quantity
The inverse of subtraction is addition
17. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.
Galton Board
Modular Arithmetic
4 + x = 12
Extrinsic View
18. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.
A number is divisible by 5
The Riemann Hypothesis
Genus
Invarient
19. A point in three-dimensional space requires three numbers to fix its location.
Spaceland
Hypercube
Cardinality
A number is divisible by 5
20. Mathematical statement that equates two mathematical expressions.
Equation
The Distributive Property (Subtraction)
A number is divisible by 3
Prime Deserts
21. Is the shortest string that contains all possible permutations of a particular length from a given set.
Public Key Encryption
Overtone
Box Diagram
De Bruijn Sequence
22. If a represents any whole number - then a
Box Diagram
The Additive Identity Property
Associative Property of Multiplication:
Multiplication by Zero
23. 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
Additive Identity:
evaluate the expression in the innermost pair of grouping symbols first.
Multiplying both Sides of an Equation by the Same Quantity
The BML Traffic Model
24. 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
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25. Let a - b - and c be any whole numbers. Then - a
The Distributive Property (Subtraction)
Modular Arithmetic
Pigeonhole Principle
Products and Factors
26. If its final digit is a 0.
A number is divisible by 10
Hypersphere
Poincare Disk
Non-Orientability
27. 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
The Same
Problem of the Points
The Kissing Circle
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
28. 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
Unique Factorization Theorem
Euclid's Postulates
Group
Figurate Numbers
29. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.
Galois Theory
set
Sign Rules for Division
General Relativity
30. The inverse of multiplication
a
Multiplication by Zero
Torus
division
31. A graph in which every node is connected to every other node is called a complete graph.
Dimension
Solution
Complete Graph
Associative Property of Multiplication:
32. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.
Flat Land
inline
Grouping Symbols
Discrete
33. 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).
Ramsey Theory
A number is divisible by 9
a
Multiplicative Inverse:
34. 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.
The Set of Whole Numbers
Discrete
Symmetry
bar graph
35. The state of appearing unchanged.
Euler Characteristic
Continuous Symmetry
Spherical Geometry
Invarient
36. A · 1 = 1 · a = a
Denominator
The Same
Rational
Multiplicative Identity:
37. 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
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
Set up a Variable Dictionary.
A number is divisible by 10
Noether's Theorem
38. Means approximately equal.
Bijection
˜
Permutation
Commutative Property of Multiplication
39. Perform all additions and subtractions in the order presented
left to right
Torus
Exponents
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
40. Has no factors other than 1 and itself
Complete Graph
A prime number
left to right
Factor Trees
41. Requirements for Word Problem Solutions.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
A number is divisible by 10
Countable
Invarient
42. A · b = b · a
Hypersphere
does not change the solution set.
Commutative Property of Multiplication:
Complete Graph
43. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Markov Chains
Discrete
Box Diagram
Permutation
44. 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 -
Multiplication by Zero
Stereographic Projection
a divided by b
The inverse of subtraction is addition
45. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Comparison Property
Discrete
De Bruijn Sequence
Problem of the Points
46. Index p radicand
a
Poincare Disk
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
The BML Traffic Model
47. (a + b) + c = a + (b + c)
a + c = b + c
Associative Property of Addition:
Amplitude
Fourier Analysis and Synthesis
48. 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.
Greatest Common Factor (GCF)
Factor Tree Alternate Approach
Topology
49. If a - b - and c are any whole numbers - then a
Rational
The Associative Property of Multiplication
A prime number
Line Land
50. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.
Variable
Exponents
Set up an Equation
Genus