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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. .625 --> Percent?
farther to the right on the number line.
Aliquot Part
To add integers that have the same sign (both positive or both negative):
62.5%

2. What are the 3 main formulaic properties of evenly-spaced sets?
Percent Change
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
unit ratio
prime number

3. Total Earnings ($) = ?
Decreases
Wage Rate ($ per hr) x Hrs worked
always clear the innermost groups first
A plus sign (+) is used for two entirely different purposes:

4. When will a decimal terminate and why?
acute angle
higher terms
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Even div. by 4

5. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
There are two parts in the procedure for subtracting signed integers:
divisor
scalene triangle
integer values

6. Why are Even Exponents dangerous?
sum
theorem
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
product

7. 1 to any power is equal to
Sale Price - Unit Cost
1
reflection
angle

8. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
unit ratio
x/100
multiplier
Step 1 of Converting Improper Fractions to Mixed Numbers

9. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Odd or Non-Int
Revenue ($) - Cost ($)
Multitudes and Magnitudes
Aliquant Part

10. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
radius
2 and/or 5 only
Power notation

11. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
(Last - First + 1)
cross product
Greater

12. In a division problem - the number that an amount is divided by
Composite number
The Ratio of Any two of the following: Original - Change and New
divisor
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

13. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
expression
denominator
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New

14. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
squared
Step 2 of Converting Improper Fractions to Mixed Numbers
Odd
exactly the same portion

15. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
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.
When to use the Heavy Division Shortcut - and how to do it
putting that number over 1
Increases the value.

16. Can have many different combinations of factors
Non-Int
exactly the same portion
equal to 1
Composite number

17. Any number with an exponent of 0
equal to 1
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Composite number
(Last - First + 1)

18. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
the same point on the number line
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
A = (D1 x D2) / 2
Parts

19. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
referred to the same Unit
vertex (vertices - plural)
cross product
Parts

20. The lower number in a fraction is the
denominator
rate
referred to the same Unit
Fractions allow you to plot values between whole numbers and integers.

21. A combination of numbers and variables connected by one or more operations signs
The height of a triangle
Sale Price - Unit Cost
expression
similar figures

22. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Odd
mean
Terminating decimal
change the operation from subtraction to addition

23. When will a decimal Not terminate and why?
proper fraction
Quantity
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
1

24. Every lesser number is contained in a greater more than once.
Multitudes and Magnitudes
( (Last - First) / Increment ) + 1
acute angle
Axiom VIII.

25. A number with an exponent of 3 is often said to be
integer values
lowest terms
2
cubed

26. A Polygon is a closed shape formed by
1
Line Segments
prime factorization
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

27. Every number is contained in itself once.
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
Multitude
Axiom VII.
Odd

28. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
exponent
To add integers that have the same sign both positive or both negative:
median
Percent Change

29. All whole numbers (both positive and negative) and zero.
integers
similar figures
simplify
straight angle

30. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
cross product
x-coordinate
Long Division
Positive-value integers

31. Two angles whose sum is 180 degrees
supplementary angles
quotient
always clear the innermost groups first
equation

32. Method: convert Decimal to Percent?
Fractions allow you to plot values between whole numbers and integers.
Shift DP 2 places right
Even
Axiom VIII.

33. The figure formed when two rays meet at a common endpoint called a vertex.
angle
When the addends have opposite signs one is + and the other is -
Axiom IX.
y-coordinate

34. Everything may be assumed as unity.
Species
Axiom I.
Reducing by the Largest Common Factor (LCF)
Fractions allow you to plot values between whole numbers and integers.

35. No integer (except 1) that divides evenly into both the numerator and denominator.
The sum of all the integers from 20 to 100 - inclusive
pi
the Complement of that part to the whole
reduced fraction

36. One of those primes must be the number __ ?
equal to 1 divided by that number with a positive exponent
2^3 = 8
the same point on the number line
A sum of 2 primes is Odd

37. Anything that may be increased or diminished
mixed number
Quantity
integers
Axiom VII.

38. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
dividing the numerator and denominator by the same number
sum
The rule for adding negative integers is the same as the rule for adding positive integers:
Step 2 of Converting mixed numbers to improper fractions

39. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
composite number
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.
supplementary angles
Zero multiplied by any value

40. Change/Original = New
Relative multitude
exactly the same portion
Percent Change
mode

41. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
composite number
fraction or broken number
'five squared'
1 - (y/100)

42. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
Aliquot and Aliquant Parts
change the operation from subtraction to addition
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

43. A number that is not a prime number is called a
composite number
quotient
putting that number over 1
2

44. Unit Profit = ?
the same point on the number line
Sale Price - Unit Cost
octagon
y-axis

45. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Even and Odd
cubed
composite number
Terminating decimal

46. The whole-number part of the mixed number is the whole-number part of the
Axiom VIII.
integer or whole number
scalene triangle
quotient

47. The terms Species and Number
improper fraction
Step 2 of Converting mixed numbers to improper fractions
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Quantity is expressed

48. A polygon that has four sides
2
Equality
More
quadrilateral

49. A unit for measuring area
square unit
pyramid
multiplier
Quantity is expressed

50. A number with only two factors: the number itself and one.
commutative law of multiplication
parallel lines
prime number
roots of numbers