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Test your basic knowledge |
CLEP General Math: Number Sense - Patterns - Algebraic Thinking
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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. The inverse of multiplication
division
Central Limit Theorem
evaluate the expression in the innermost pair of grouping symbols first.
prime factors
2. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.
Fundamental Theorem of Arithmetic
Commutative Property of Multiplication:
Answer the Question
Law of Large Numbers
3. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.
Non-Orientability
Expected Value
B - 125 = 1200
set
4. If a = b then
A number is divisible by 10
a · c = b · c for c does not equal 0
inline
Discrete
5. Einstein's famous theory - relates gravity to the curvature of spacetime.
General Relativity
Denominator
The Commutative Property of Addition
The Set of Whole Numbers
6. In the expression 3
Products and Factors
The BML Traffic Model
repeated addition
Prime Number
7. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.
8. 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.
perimeter
Products and Factors
Euclid's Postulates
Law of Large Numbers
9. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.
Discrete
Denominator
Extrinsic View
does not change the solution set.
10. 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
Factor Trees
Configuration Space
Conditional Probability
Law of Large Numbers
11. If grouping symbols are nested
evaluate the expression in the innermost pair of grouping symbols first.
Denominator
Hypercube
Hypersphere
12. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.
Principal Curvatures
Hyperbolic Geometry
Prime Deserts
A prime number
13. A · 1/a = 1/a · a = 1
Periodic Function
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
Irrational
Multiplicative Inverse:
14. 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.
Exponents
Poincare Disk
Overtone
Order of Operations - PEMDAS 'Please Excuse My Dear Aunt Sally'
15. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones
Answer the Question
Problem of the Points
Multiplicative Inverse:
Overtone
16. If a = b then
a - c = b - c
Multiplication
Look Back
Galois Theory
17. 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
perimeter
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
a divided by b
Modular Arithmetic
18. A topological invariant that relates a surface's vertices - edges - and faces.
perimeter
Products and Factors
Cardinality
Euler Characteristic
19. 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
Least Common Multiple (LCM)
inline
Sign Rules for Division
Expected Value
20. 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 -
Continuous
Commutative Property of Multiplication:
The inverse of addition is subtraction
Factor Trees
21. 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
Multiplication by Zero
Factor Trees
Amplitude
Look Back
22. A number is divisible by 2
if it is an even number (the last digit is 0 - 2 - 4 - 6 or 8)
Fourier Analysis and Synthesis
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 Riemann Hypothesis
23. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a
Properties of Equality
a + c = b + c
Cardinality
Equation
24. Is a path that visits every node in a graph and ends where it began.
Hamilton Cycle
Fourier Analysis
Comparison Property
Galton Board
25. 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
26. 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 -
The inverse of subtraction is addition
Grouping Symbols
evaluate the expression in the innermost pair of grouping symbols first.
The Kissing Circle
27. 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
Spherical Geometry
Factor Tree Alternate Approach
Stereographic Projection
Group
28. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.
Pigeonhole Principle
1. Set up a Variable Dictionary. 3. Solve the Equation. 4. Answer the Question. 5. Look Back.
Problem of the Points
A prime number
29. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)
30. A + 0 = 0 + a = a
Non-Orientability
Rarefactior
Additive Identity:
Geometry
31. 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
Hyperland
Fourier Analysis and Synthesis
Cardinality
32. Aka The Osculating Circle - a way to measure the curvature of a line.
The Kissing Circle
Ramsey Theory
Dividing both Sides of an Equation by the Same Quantity
Distributive Property:
33. Division by zero is undefined. Each of the expressions 6
Additive Inverse:
Set up an Equation
Distributive Property:
Division by Zero
34. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'
bar graph
Hyperland
Divisible
Rational
35. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.
Galois Theory
Primes
Non-Euclidian Geometry
Problem of the Points
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.
Countable
Commutative Property of Multiplication:
Galton Board
bar graph
37. Perform all additions and subtractions in the order presented
Composite Numbers
Variable
left to right
perimeter
38. Means approximately equal.
Frequency
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
Divisible
˜
39. Has no factors other than 1 and itself
Rational
A prime number
Comparison Property
Conditional Probability
40. If a - b - and c are any whole numbers - then a
Set up an Equation
Prime Deserts
Invarient
The Associative Property of Multiplication
41. All integers are thus divided into three classes:
Overtone
The inverse of addition is subtraction
Multiplicative Identity:
1. The unit 2. Prime numbers 3. Composite numbers
42. 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 Same
Spaceland
Dimension
43. The fundamental theorem of arithmetic says that
each whole number can be uniquely decomposed into products of primes.
Division by Zero
1. The unit 2. Prime numbers 3. Composite numbers
Least Common Multiple (LCM)
44. If a represents any whole number - then a
Products and Factors
Least Common Multiple (LCM)
Law of Large Numbers
Multiplication by Zero
45. The process of taking a complicated signal and breaking it into sine and cosine components.
Fourier Analysis
Topology
Factor Trees
B - 125 = 1200
46. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.
Non-Euclidian Geometry
Division by Zero
Least Common Multiple (LCM)
Modular Arithmetic
47. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.
Box Diagram
Irrational
Countable
a
48. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'
The inverse of multiplication is division
Hypersphere
Aleph-Null
counting numbers
49. Two equations if they have the same solution set.
does not change the solution set.
De Bruijn Sequence
Least Common Multiple (LCM)
Equivalent Equations
50. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.
Polynomial
One equal sign per line
Hypersphere
Figurate Numbers