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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
Composite number
prime number
x-axis
numerator

2. 1/2 - 1/3 - 2/3 - -5/8
Odd
proper fractions
Parts
composite number

3. For there to be X unique factors of X - what must be true?
Odd
unit ratio
There are two parts in the procedure for subtracting signed integers:
Every integer between 1 and X - inclusive - must be a factor of X

4. Reducing fractions is
The concept of trading decimal places and how it works
hexagon
before solving
dividing the numerator and denominator by the same number

5. A polygon with five sides
There are two parts in the procedure for subtracting signed integers:
1
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
pentagon

6. Signs of grouping may be nested
difference
supplementary angles
inverse operations
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

7. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Subtracting Signed Integers
x = (+-) a
integer or whole number
Adding negative integers will always produce a negative sum

8. When the factors of a number are all prime numbers - the factors are said to be the
equilateral triangle
order of operations
Number Systems
prime factors

9. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
median
Terminating decimal
Both
change the operation from subtraction to addition

10. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
1
Carry the 10's digit of the product to the top of the 10's column of factors.
acute angle

11. .625 --> Percent?
Axiom III.
62.5%
Relative multitude
area

12. 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').
0.625
Whole Numbers
denominator
Is equal to the original value

13. The largest single factor for two or more numbers.
square root
greatest common factor (GCF)
quotient
median

14. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
axiom
when there are explicit or implicit equations in the problem:
Terminating decimal
Subtracting Signed Integers

15. An eight-sided polygon
Known quantities
octagon
improper fraction
When numbers do not divide evenly

16. 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
exponent
Step 1 of Converting Improper Fractions to Mixed Numbers
factoring

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

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18. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
Relative multitude
probability
Unit Price x Qty. Sold

19. 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.
x-axis
acute angle
Inserting a zero at the left end of a whole number
Even - Odd or Non-Int

20. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
The Ratio of Any two of the following: Original - Change and New
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
hexagon

21. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
prime number
product
numerator
improper fraction

22. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
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
diameter
always clear the innermost groups first

23. 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.
When the addends have the same sign both + or both -
vertex (vertices - plural)
Line Segments
Every integer between 1 and X - inclusive - must be a factor of X

24. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Aliquot Part
cross product
like fractions

25. Always try to Factor a quadratic equation
To add integers that have the same sign both positive or both negative:
before solving
Even
improper fractions

26. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
dividend
higher terms
Step 1 of Converting Improper Fractions to Mixed Numbers
equation

27. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
prime factorization
divisor
Odd
Step 2 of Converting Improper Fractions to Mixed Numbers

28. The exact procedure for adding signed integers depends upon
Same units
Even - Odd or Non-Int
whether the addends have the same sign or opposite signs
greatest common factor (GCF)

29. The horizontal number line of a coordinate graph
improper fraction
x-axis
quadrilateral
factors of the multiplication operation

30. The total of two or more numbers being added
Step 2 of Converting Improper Fractions to Mixed Numbers
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
sum
Sale Price - Unit Cost

31. A triangle with one right angle
y-axis
right triangle
Species
Alternative to the algebraic manipulation method to solving a VIC

32. A number that tells how many times the base is multiplied by itself
radius
farther to the right on the number line.
The concept of trading decimal places and how it works
exponent

33. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
polygon
Even
To find out - easily - if one fraction is bigger than another
sample

34. Things are Equal in Magnitude when they are
Both
Number Systems
referred to the same Unit
Multitude

35. Odd / Even = ? e.g. 9/6 = 1.5
whether the addends have the same sign or opposite signs
Non-Int
To add integers that have opposite signs:
inverse

36. Factors may be multiplied in any order.
x-axis
commutative law of multiplication
whether the addends have the same sign or opposite signs
Unit Price x Qty. Sold

37. Area of a Rhombus is?
x-axis
A = (D1 x D2) / 2
Subtracting Signed Integers
mean

38. 1 to any power is equal to
1
divisor
Reducing: The Brute-Force Method
Aliquot and Aliquant Parts

39. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Is equal to the original value
To make sure to solve for Both cases.
2
rhombus

40. The denominator of the fraction part of the mixed number is
Even
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?
the denominator of the original improper fraction
parallel lines

41. The distance around a circle (the perimeter of a circle)
pyramid
circumference
When to use the Heavy Division Shortcut - and how to do it
when there are explicit or implicit equations in the problem:

42. The vertical number line of a coordinate graph
y-axis
Inserting a zero at the right end of a whole number
Composite number
quadrant

43. A polygon with six sides.
Number Systems
hexagon
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
improper fractions

44. Species of Quantities are signified by
quadrilateral
1
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.
lowercase letters

45. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Mathematics
mean
Homogenous or Heterogenous
Even and Odd

46. The numerator is smaller than the denominator
proper fraction
When the addends have opposite signs one is + and the other is -
improper fraction
Always completed first

47. Unit Profit = ?
Same units
quotient
Sale Price - Unit Cost
Even div. by 4

48. A comparison of the two values of two numbers
Original x (1 - x/100) = New
farther to the right on the number line.
When you are absolutely sure the variable or expression <> 0
ratio

49. In a group of values - the value that occurs most often
Odd
mode
A plus sign (+) is used for two entirely different purposes:
theorem

50. Cross-multiply
Even
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
To find out - easily - if one fraction is bigger than another
Long Division