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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 horizontal number line of a coordinate graph
complementary angle
Axiom VII.
x-axis
vertex (vertices - plural)

2. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
To convert any fraction to higher terms
Percent Decrease Formula
Negative-value integers
The bottom side of the triangle

3. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
reflection
pyramid
numerator

4. In a division problem - it's the number being divided
pentagon
prism
dividend
quadrilateral

5. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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6. Reversed position or direction
dividing the numerator and denominator by the same number
congruent
inverse
A sum of 2 primes is Odd

7. If 2 numbers are OPPOSITES of each other
they have the same absolute value
mixed fractions
like fractions
lowercase Variables

8. The vertical number line of a coordinate graph
y-axis
Adding negative integers will always produce a negative sum
percent
0

9. A collection of things taken as a Unity. A bushel of wheat is a whole.
pi
Whole
Power notation
Is equal to the original value

10. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
proper fraction
Step 2 of Converting mixed numbers to improper fractions
Whole Numbers
The height of a triangle

11. What are the properties of the diagonals of a Rhombus?
quotient
cross product
Inequality
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

12. 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.
Step 2 of Converting mixed numbers to improper fractions
common factor
Inserting a zero at the left end of a whole number
quadrilateral

13. A whole number can be expressed as an improper fraction by
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
cubed
greatest common factor (GCF)
putting that number over 1

14. Original x (1 - x/100) = New
trapezoid
To add integers that have the same sign both positive or both negative:
Percent Decrease Formula
Odd

15. What is the formula forCounting consecutive multiples?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
composite number
( (Last - First) / Increment ) + 1
Odd

16. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
When to use the Heavy Division Shortcut - and how to do it
Whole
proper fraction

17. A triangle with sides of different lengths and no two angles are the same
Whole
scalene triangle
common denominator
Axiom X.

18. What is the formula forCounting consecutive integers?
(Last - First + 1)
Quantity is expressed
Converting Improper Fractions to Mixed Numbers
squared

19. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
referred to the same Unit
least common multiple (LCM)
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

20. Why are Even Exponents dangerous?
Subtracting Signed Integers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Shift DP 2 places right
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

21. When will a decimal Not terminate and why?
exponent
base
enclosing the numbers in a pair of vertical lines | |
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

22. Operations enclosed in a sign of grouping
pyramid
Original + Change = New Change/Original = Percent Change
Always completed first
difference

23. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
the denominator of the original improper fraction
lowest terms
composite number

24. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
Aliquot Part
before solving
Subtracting Signed Integers

25. When the product in the 1's column is greater than 9

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26. The ratio of a number to 100 (per one hundred); the symbol %
the Complement of that part to the whole
Increases the value.
percent
Fractions allow you to plot values between whole numbers and integers.

27. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
always clear the innermost groups first
right angle
Step 1 of Converting mixed numbers to improper fractions
acute angle

28. Total Earnings ($) = ?
reciprocal
Wage Rate ($ per hr) x Hrs worked
mean
when there are explicit or implicit equations in the problem:

29. When the factors of a number are all prime numbers - the factors are said to be the
referred to the same Unit
prime factors
radius
mixed fractions

30. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Inequality
circumference
Odd
factor

31. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
improper fractions
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
Odd

32. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Is equal to the original value
Quantity is expressed
Odd
The rule for adding negative integers is the same as the rule for adding positive integers:

33. A comparison of the two values of two numbers
radius
ratio
always clear the innermost groups first
Aliquant Part

34. By the first letters of the alphabet (a - b - c - d - etc..)
Magnitude at Rest and Magnitude in Motion
Unknown quantities
greatest common factor (GCF)
improper fraction

35. Two angles whose sum equals 90 degrees
complementary angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
proper fraction
multiplicand

36. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
quotient
Even
When the addends have opposite signs one is + and the other is -
mode

37. An angle measuing more than 0 degrees and less than 90 degrees
Even
probability
acute angle
'five squared'

38. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
To convert any fraction to higher terms
composite number
ratio

39. The greater any number is in comparison to another - the more equal parts will it contain of that other.
sample
Axiom IX.
acute angle
combination of addition and subtraction

40. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
quotient
Odd
Axiom IV.

41. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Percent Decrease Formula
Change / Original Formula?
Positive-value integers
median

42. 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.
1 - (y/100)
prime factorization
base
vertex (vertices - plural)

43. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Step 1 of Converting mixed numbers to improper fractions
sample
hexagon
inverse operations

44. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
expression
simplify
lowercase Variables
similar figures

45. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
the Complement of that part to the whole
improper fraction
radius
absolute value

46. A sign of grouping can be omitted when it
contains only a single number
mixed fractions
rectangle
Greater

47. Odd +/- ____ = Odd
To find out - easily - if one fraction is bigger than another
simplify
Even
Absolute and Relative

48. Rules that tell which steps to follow when solving an expression
Aliquot Part
Different Units
order of operations
Zero (0)

49. Having the same size and shape
reciprocal
order of operations
congruent
Original + Change = New Change/Original = Percent Change

50. An angle measuring more than zero degrees and less than 90 degrees
acute angle
To make sure to solve for Both cases.
pentagon
right triangle