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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. Includes an integer as well as a fractional part
square unit
Axiom VIII.
When numbers do not divide evenly
mixed number

2. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
When the addends have opposite signs one is + and the other is -
Equal
Terminating decimal

3. 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
2^3 = 8
When to use fractions
integers
vertex (vertices - plural)

4. A triangle with one right angle
A = (Diagonal1 x Diagonal2) / 2
Decreases
ordered pair
right triangle

5. Method: convert Percent to Decimal?
quadrilateral
Axiom III.
Shift DP 2 places left
diameter

6. Two numbers listed in a specific order; it describes a point on the coordinate graph
polygon
Sale Price - Unit Cost
ordered pair
x-axis

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

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8. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
Both
circumference
complementary angle
x = (+-) a

9. A fraction with all common factors (other than 1) factored out of the numerator and denominator
square root
Arithmetic - Music - Geometry and Astronomy
lowest terms
The bottom side of the triangle

10. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
composite number
straight angle
Odd

11. Why are Even Exponents dangerous?
lowercase letters
UnitPrice ($/unit) x Qty.Purchas'd (units)
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom III.

12. Any value divided by one
composite number
fraction or broken number
Is equal to the original value
mixed number

13. Every quantity is equal to itself.
Odd
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
Axiom II.
Step 1 of Converting mixed numbers to improper fractions

14. Unit Profit = ?
The Decimal Numbering System
Sale Price - Unit Cost
from left to right
improper fractions

15. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
enclosing the numbers in a pair of vertical lines | |
Step 2 of Converting mixed numbers to improper fractions
higher terms
Whole Numbers

16. The ratio of integers that results in a terminating decimal
Increases the value.
(Last - First + 1)
Axiom I.
Some integer/Some Power of 10

17. Area of a Rhombus is?
Evaluating Powers With Negative Exponents
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
A = (D1 x D2) / 2
Quantity

18. Always try to Factor a quadratic equation
mixed fractions
2
before solving
Alternative to the algebraic manipulation method to solving a VIC

19. A quadrilateral with two pairs of congruent - parallel sides
2
Number Systems
Even or Non-Int
parallelogram

20. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
factoring
Arithmetic - Music - Geometry and Astronomy
When the addends have opposite signs one is + and the other is -
mixed fractions

21. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
perimeter
When the addends have the same sign both + or both -
5/8
rectangle

22. What is the formula forCounting consecutive integers?
Line Segments
(Last - First + 1)
higher terms
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?

23. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
Multitude
x/100
x-coordinate

24. 1 to any power is equal to
like fractions
Unit Price x Qty. Sold
1
Odd or Non-Int

25. Unit Profit = ?
1
Sale Price - Unit Cost
To add integers that have the same sign (both positive or both negative):
improper fraction

26. Two angles whose sum is 180 degrees
Quantity is expressed
when there are explicit or implicit equations in the problem:
sum
supplementary angles

27. 0.625 --> Fraction ?
5/8
The rule for adding negative integers is the same as the rule for adding positive integers:
Mathematics
(Last - First + 1)

28. The vertical number line of a coordinate graph
common factor
x/100
Is zero
y-axis

29. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
referred to Unity in the same way
x = (+-) a
How the Last Digit Shortcut works

30. A number that when multiplied by itself results in the original number
rhombus
when there are explicit or implicit equations in the problem:
proper fraction
square root

31. A fraction with a numerator that is larger than or equal to its denominator.
equal to 1
improper fraction
rate
Axiom III.

32. Adding integers that have opposite signs means
one is positive and the other is negative
mode
Long Division
2 and/or 5 only

33. In a group of values - the value that occurs most often.
mode
proper fractions
rectangle
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

34. A self-evident statement - that is - one that does not need to be demonstrated.
When the addends have the same sign both + or both -
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
equilateral triangle

35. Can have many different combinations of factors
One... the number 2
Composite number
the same point on the number line
radius

36. A mirror image of a figure shown over a line of reflection
mixed number
factors of the multiplication operation
Decimals/Percents
reflection

37. The number being divided is called the
dividend
quotient
Even and Odd
equal to 1 divided by that number with a positive exponent

38. In order to understand and use exponents that are fractions or decimals - you must first know about
integer values
ordered pair
roots of numbers
Different Units

39. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
ordered pair
supplementary angles
A = (Diagonal1 x Diagonal2) / 2
Aliquot Part

40. A polygon with six sides.
when there are explicit or implicit equations in the problem:
Original + Change = New Change/Original = Percent Change
hexagon
Zero (0)

41. The method for indicating the power of a number
prism
Original x (1 - x/100) = New
Power notation
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

42. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
y-coordinate
The concept of trading decimal places and how it works
'six cubed'
Reducing fractions

43. All whole numbers (both positive and negative) and zero.
lowercase letters
integers
x-coordinate
product

44. The difference between the least and greatest values in a set of numbers.
rhombus
A minus sign ( - ) is used for two entirely different purposes:
x/100
range

45. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
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.
integers
Multitude

46. The numerator is smaller than the denominator
octagon
prime number
both integers are positive or both are negative
proper fraction

47. Always perform combinations of multiplication and division before
combination of addition and subtraction
Computation
rate
sum

48. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Axiom X.
Any value multiplied by one
When to use the Heavy Division Shortcut - and how to do it
integer or whole number

49. The result of the division called the
y-coordinate
rectangle
Even div. by 4
quotient

50. Sale Price = ?
product
parallel lines
axiom
Unit Cost + Markup