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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

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. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Unity - or a Unit
roots of numbers
percent
To make sure to solve for Both cases.

2. The numerator is smaller than the denominator
proper fraction
Subtracting Signed Integers
When you are absolutely sure the variable or expression <> 0
when there are explicit or implicit equations in the problem:

3. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
sample
whether the addends have the same sign or opposite signs
Unknown quantities

4. The total of two or more numbers being added
Change / Original Formula?
equal to 1
sum
theorem

5. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Same units
y-coordinate
Inequality
Inserting a zero at the left end of a whole number

6. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
obtuse angle
factoring
Odd

7. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
integer or whole number
Shift DP 2 places right
pentagon
Axiom II.

8. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
More
Odd
Step 1 of Converting mixed numbers to improper fractions
percent

9. A triangle with sides of different lengths and no two angles are the same.
inverse operations
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
scalene triangle
prism

10. What is the formula forCounting consecutive integers?
(Last - First + 1)
vertex (vertices - plural)
lowercase letters
least common multiple (LCM)

11. When will a decimal Not terminate and why?
Axiom VIII.
The Decimal Numbering System
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
composite number

12. A self-evident statement - that is - one that does not need to be demonstrated.
Axiom IV.
Step 2 of Converting Improper Fractions to Mixed Numbers
axiom
whether the addends have the same sign or opposite signs

13. The difference between the least and greatest values in a set of numbers.
range
simplify
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
mixed fractions

14. An angle that measures 180 degrees
straight angle
sample
the same point on the number line
Greater

15. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
Even - Odd or Non-Int
There are two parts in the procedure for subtracting signed integers:
area

16. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
mixed fractions
rectangle
Odd
Subtracting Signed Integers

17. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even
x-axis
Even and Odd
commutative law of multiplication

18. The result of the division called the
quotient
product
Positive-value integers
hexagon

19. A polygon that has four sides.
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
Axiom II.
quadrilateral
Axiom VII.

20. 5/8 --> Decimal ?
0.625
When to use fractions
base
always clear the innermost groups first

21. The study of quantity
A = (Base x Height) / 2 - A = (BH)/2
Mathematics
y-coordinate
Some integer/Some Power of 10

22. Every lesser number is contained in a greater more than once.
Axiom VIII.
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
lowercase Variables
reciprocal

23. Lines in the same plane that do not intersect. The symbol //
referred to the same Unit
Odd
parallel lines
Revenue ($) - Cost ($)

24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Axiom X.
median
Adding negative integers will always produce a negative sum
1

25. The ratio of integers that results in a terminating decimal
order of operations
Known (Given) and Unknown (Sought)
Always completed first
Some integer/Some Power of 10

26. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
denominator
Zero multiplied by any value
Even

27. Profit = ?
trapezoid
Revenue ($) - Cost ($)
Decimals/Percents
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu

28. TotalCost($) = ?

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29. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
equal to itself.
range
prism
When you are absolutely sure the variable or expression <> 0

30. A number that is a multiple of all denominators in a problem.
Converting mixed numbers to improper fractions.
common denominator
inverse operations
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut

31. Everything may be assumed as unity.
reflection
To add integers that have opposite signs:
higher terms
Axiom I.

32. A mirror image of a figure shown over a line of reflection
quotient
reflection
dividend
divisor

33. What is the formula forCounting consecutive multiples?
quotient
( (Last - First) / Increment ) + 1
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Adding negative integers will always produce a negative sum

34. 3/2 - 8/3 - -16/5 - 7/7
equivalent
Number Systems
The sum of all the integers from 20 to 100 - inclusive
improper fractions

35. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
farther to the left on the number line
enclosing the numbers in a pair of vertical lines | |
Even
Odd

36. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
probability
To add integers that have opposite signs:
(Last - First + 1)
To add integers that have the same sign both positive or both negative:

37. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
Quantity is expressed
Even
acute angle

38. A comparison of the two values of two numbers
ratio
Negative-value integers
Quantity
A = (Diagonal1 x Diagonal2) / 2

39. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
Change + - Original = New
The Decimal Numbering System
axiom

40. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
obtuse angle
circumference
Is equal to the original value

41. Is equal to zero. 0 x a = 0
Even and Odd
multiplier
lowercase letters
Zero multiplied by any value

42. Total Earnings ($) = ?
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
dividend
Change + - Original = New
Wage Rate ($ per hr) x Hrs worked

43. Part of the population that is studied to find the characteristics of the whole population.
(Last - First + 1)
sample
UnitPrice ($/unit) x Qty.Purchas'd (units)
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements

44. A polygon with six sides.
hexagon
polygon
acute angle
inverse operations

45. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Power notation
Arithmetic - Music - Geometry and Astronomy
similar figures
the Complement of that part to the whole

46. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
exactly the same portion
Whole
one is positive and the other is negative

47. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
product
Percent Change
square unit

48. A line segment that passes through the center of a circle and has its endpoints on the circle
Equality
diameter
62.5%
supplementary angles

49. In order to understand and use exponents that are fractions or decimals - you must first know about
Decimals/Percents
octagon
roots of numbers
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point

50. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
vertex (vertices - plural)
reflection
x-axis
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut