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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. The ratio of integers that results in a terminating decimal
product
Converting mixed numbers to improper fractions.
change the operation from subtraction to addition
Some integer/Some Power of 10

2. A polygon that has four sides.
quadrilateral
Fractions allow you to plot values between whole numbers and integers.
whether the addends have the same sign or opposite signs
Carry the 10's digit of the product to the top of the 10's column of factors.

3. 0.625 --> Fraction ?
Aliquot Part
Different Units
5/8
whether the addends have the same sign or opposite signs

4. When the factors of a number are all prime numbers - the factors are said to be the
equilateral triangle
prime factors
theorem
greatest common factor (GCF)

5. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Axiom VII.
( (Last - First) / Increment ) + 1
inverse operations
proper fraction

6. A parallelogram with all sides equal and congruent
Even
difference
The Decimal Numbering System
rhombus

7. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
The Decimal Numbering System
simplify
1
Aliquot Part

8. What is the formula for: The Area of a Triangle ?
hexagon
A = (Base x Height) / 2 - A = (BH)/2
unit ratio
commutative law of multiplication

9. Why are Even Exponents dangerous?
right triangle
1 - (y/100)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
To add integers that have opposite signs:

10. A combination of numbers and variables connected by one or more operations signs
y-axis
expression
equivalent
Axiom IX.

11. Change + - Original = New
Change / Original Formula?
'five squared'
A plus sign (+) is used for two entirely different purposes:
equal to itself.

12. The sum of a group of numbers divided by the number of numbers; also known as the average
simplify
A = (Diagonal1 x Diagonal2) / 2
Absolute and Relative
mean

13. An angle measuring more than 90 degrees and less than 180 degrees
radius
Aliquant Part
unit ratio
obtuse angle

14. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
range
composite number
Axiom IV.

15. The Only possible factors for a prime number are
rhombus
supplementary angles
putting that number over 1
1 and itself

16. Surface space that is measured in square units.
perimeter
2 and/or 5 only
The rule for adding negative integers is the same as the rule for adding positive integers:
area

17. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
When to use the Heavy Division Shortcut - and how to do it
2^3 = 8
1 - (y/100)

18. 5/8 --> Decimal ?
0.625
The sum of all the integers from 20 to 100 - inclusive
Decreases
numerator

19. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
1 and itself
Converting mixed numbers to improper fractions.
Both
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

20. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
Odd
To add integers that have opposite signs:
Computation

21. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
fraction or broken number
parallelogram
Wage Rate ($ per hr) x Hrs worked
Axiom VI.

22. Zero divided by any whole number (except 0)
Odd
they have the same absolute value
Is zero
Aliquot and Aliquant Parts

23. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
farther to the right on the number line.
vertex (vertices - plural)
y-coordinate
Axiom X.

24. Factors may be multiplied in any order.
right angle
Even and Odd
commutative law of multiplication
Even

25. A ratio that shows the cost per unit of measure
'six cubed'
parallelogram
Being divided by a power of 10
unit ratio

26. A value such as 5^2 can be called

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27. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Even div. by 4
scale drawing
improper fraction
Equal

28. Odd x ? = Even
x-coordinate
Even
absolute value
mixed fractions

29. Is equal to the original value. a x 1 = 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?
Any value multiplied by one
factors of the multiplication operation
range

30. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
prime number
Converting Improper Fractions to Mixed Numbers
Adding negative integers will always produce a negative sum
Absolute and Relative

31. The figure formed when two rays meet at a common endpoint called a vertex.
product
Some integer/Some Power of 10
quadrilateral
angle

32. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
2^3 = 8
numerator
Relative multitude
Number

33. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
higher terms
fraction or broken number
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
scalene triangle

34. The whole is more or greater than its part.
dividing the numerator and denominator by the same number
Arithmetic - Music - Geometry and Astronomy
1
Axiom IV.

35. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Original x (1 - x/100) = New
proper fraction
hexagon
probability

36. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
exponent
Inserting a zero at the right end of a whole number
circumference
The Decimal Numbering System

37. Original x (1 - x/100) = New
equivalent
Power notation
Percent Decrease Formula
theorem

38. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
cylinder
To add integers that have opposite signs:
one is positive and the other is negative
quotient

39. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
x-coordinate
pyramid
proper fractions
To square an equation to solve it

40. A number with only two factors: the number itself and one.
To add integers that have opposite signs:
pyramid
prime number
Both

41. The absolute value of numbers is indicated by
least common multiple (LCM)
enclosing the numbers in a pair of vertical lines | |
scalene triangle
mixed fractions

42. The whole-number system uses only ten characters -0 through 9.
Multitude
circumference
When you are absolutely sure the variable or expression <> 0
The Decimal Numbering System

43. A mirror image of a figure shown over a line of reflection
they have the same absolute value
reflection
integers
whether the addends have the same sign or opposite signs

44. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
To find out - easily - if one fraction is bigger than another
Any value multiplied by one
vertex (vertices - plural)
referred to the same Unit

45. Breaking down a composite number until all of the factors are prime
Known quantities
prime factorization
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Decimals/Percents

46. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Change + - Original = New
radius
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
Odd or Non-Int

47. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
Percent Change
product
When to use fractions
Change + - Original = New

48. The difference between the least and greatest values in a set of numbers
Mathematics
range
Unit Price x Qty. Sold
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

49. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
The rule for adding negative integers is the same as the rule for adding positive integers:
putting that number over 1
Even
y-coordinate

50. 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
The bottom side of the triangle
reflection
There are two parts in the procedure for subtracting signed integers:
x-axis