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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. 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.
Solution
Dividing both Sides of an Equation by the Same Quantity
Non-Orientability
Genus
2. If its final digit is a 0.
Pigeonhole Principle
Amplitude
A number is divisible by 10
Division is not Associative
3. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.
De Bruijn Sequence
bar graph
Grouping Symbols
The Prime Number Theorem
4. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.
Geometry
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Flat Land
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.
5. (a
The Set of Whole Numbers
Division is not Associative
Additive Inverse:
Normal Distribution
6. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
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7. A graph in which every node is connected to every other node is called a complete graph.
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Periodic Function
Non-Orientability
Complete Graph
8. Arise from the attempt to measure all quantities with a common unit of measure.
Rational
Hypercube
Flat Land
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
9. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.
Non-Orientability
Tone
Equivalent Equations
One equal sign per line
10. The system that Euclid used in The Elements
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Axiomatic Systems
Commutative Property of Multiplication
The inverse of subtraction is addition
11. 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 -
A prime number
Least Common Multiple (LCM)
The inverse of subtraction is addition
Additive Identity:
12. Writing Mathematical equations - arrange your work one equation
Set up an Equation
˜
per line
Expected Value
13. The inverse of multiplication
division
Answer the Question
Prime Deserts
Invarient
14. A · 1 = 1 · a = a
Galton Board
Multiplicative Identity:
perimeter
Rational
15. Multiplication is equivalent to
Grouping Symbols
A prime number
Greatest Common Factor (GCF)
repeated addition
16. 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
Answer the Question
Set up a Variable Dictionary.
Distributive Property:
Overtone
17. Index p radicand
Solve the Equation
A number is divisible by 5
The index (which becomes the exponent when translating) is the number of times you multiply the number by itself to get radicand.
a
18. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.
The Kissing Circle
Conditional Probability
Central Limit Theorem
4 + x = 12
19. The study of shape from an external perspective.
Irrational
Extrinsic View
Continuous
Permutation
20. 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
Irrational
per line
a + c = b + c
21. 4 more than a certain number is 12
Equivalent Equations
Fourier Analysis and Synthesis
Set up a Variable Dictionary.
4 + x = 12
22. To describe and extend a numerical pattern
Topology
The Commutative Property of Addition
Conditional Probability
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.
23. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.
Normal Distribution
Axiomatic Systems
Continuous
left to right
24. The process of taking a complicated signal and breaking it into sine and cosine components.
Conditional Probability
Fourier Analysis
Central Limit Theorem
per line
25. 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
Principal Curvatures
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.
Factor Trees
Irrational
26. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values
Periodic Function
The Prime Number Theorem
Factor Tree Alternate Approach
Look Back
27. 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.'
Set up an Equation
A number is divisible by 3
Cardinality
Divisible
28. 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
a + c = b + c
Grouping Symbols
Multiplying both Sides of an Equation by the Same Quantity
A number is divisible by 5
29. If its final digit is a 0 or 5.
A number is divisible by 5
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
Topology
Hyperland
30. 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.
Topology
Rarefactior
Exponents
Irrational
31. A topological object that can be used to study the allowable states of a given system.
Amplitude
A number is divisible by 9
Torus
Configuration Space
32. If a = b then
The inverse of multiplication is division
Aleph-Null
a - c = b - c
prime factors
33. 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.
Hyperland
Permutation
bar graph
the set of natural numbers
34. 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.
Solution
The Prime Number Theorem
Properties of Equality
Irrational
35. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.
Topology
a + c = b + c
Standard Deviation
Comparison Property
36. If a and b are any whole numbers - then a
Commutative Property of Multiplication
Sign Rules for Division
The Multiplicative Identity Property
Pigeonhole Principle
37. Let a - b - and c be any whole numbers. Then - a
Line Land
The Distributive Property (Subtraction)
Greatest Common Factor (GCF)
Modular Arithmetic
38. Cannot be written as a ratio of natural numbers.
Rational
Variable
Irrational
Commutative Property of Multiplication
39. Two equations if they have the same solution set.
General Relativity
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
Equivalent Equations
Discrete
40. Negative
Divisible
Fourier Analysis
division
Sign Rules for Division
41. (a + b) + c = a + (b + c)
Prime Deserts
Associative Property of Addition:
The Prime Number Theorem
Non-Euclidian Geometry
42. 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.
Irrational
each whole number can be uniquely decomposed into products of primes.
Bijection
4 + x = 12
43. Is a path that visits every node in a graph and ends where it began.
Unique Factorization Theorem
A number is divisible by 3
The Multiplicative Identity Property
Hamilton Cycle
44. The surface of a standard 'donut shape'.
Torus
Intrinsic View
The inverse of multiplication is division
variable
45. All integers are thus divided into three classes:
Expected Value
Multiplicative Identity:
1. The unit 2. Prime numbers 3. Composite numbers
Fundamental Theorem of Arithmetic
46. This method can create a flat map from a curved surface while preserving all angles in any features present.
Intrinsic View
Hypercube
Stereographic Projection
Pigeonhole Principle
47. 1. Find the prime factorizations of each number.
Spherical Geometry
Greatest Common Factor (GCF)
Flat Land
Hyperland
48. Rules for Rounding - To round a number to a particular place - follow these steps:
Look Back
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 BML Traffic Model
Least Common Multiple (LCM)
49. Original Balance minus River Tam's Withdrawal is Current Balance
B - 125 = 1200
Non-Orientability
a · c = b · c for c does not equal 0
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
50. If grouping symbols are nested
Ramsey Theory
The Distributive Property (Subtraction)
the set of natural numbers
evaluate the expression in the innermost pair of grouping symbols first.