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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. Two angles whose sum is 180 degrees
supplementary angles
improper fraction
complementary angle
scalene triangle

2. Is the opposite of raising fractions to higher terms.
congruent
Reducing fractions
percent
Even

3. One number is said to be greater than (>) another when it is
The concept of trading decimal places and how it works
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
farther to the right on the number line.
Magnitude at Rest and Magnitude in Motion

4. Factors may be multiplied in any order.
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
commutative law of multiplication
A = (Base x Height) / 2 - A = (BH)/2
product

5. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
right triangle
least common multiple (LCM)
integer or whole number
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

6. The Only possible factors for a prime number are
equation
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
quadrant
1 and itself

7. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
from left to right
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
To add integers that have the same sign both positive or both negative:
One... the number 2

8. Is equal to the original value. a x 1 = 1
Composite number
Any value multiplied by one
Positive-value integers
polygon

9. A value that combines a whole number and a fractional amount
Step 2 of Converting mixed numbers to improper fractions
The rule for adding negative integers is the same as the rule for adding positive integers:
mixed number
Decimals/Percents

10. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
(Last - First + 1)
Aliquot Part
2 and/or 5 only
Even and Odd

11. What is the perimeter of a Polygon?
y-coordinate
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
supplementary angles
To make sure to solve for Both cases.

12. An angle that measures 180 degrees
One... the number 2
Equality
To find out - easily - if one fraction is bigger than another
straight angle

13. 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
order of operations
Shift DP 2 places left
2
Aliquant Part

14. Reversed position or direction
inverse
prime number
Magnitude at Rest and Magnitude in Motion
least common multiple (LCM)

15. Operations enclosed in a sign of grouping
Always completed first
Step 1 of Converting Improper Fractions to Mixed Numbers
theorem
When the addends have opposite signs one is + and the other is -

16. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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17. Total Sales or Revenue = ?
When the addends have the same sign both + or both -
Unknown quantities
Unit Price x Qty. Sold
Odd or Non-Int

18. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Aliquant Part
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
Even or Non-Int
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

19. Odd / Even = ? e.g. 9/6 = 1.5
higher terms
rate
Non-Int
Change / Original Formula?

20. A mirror image of a figure shown over a line of reflection
the denominator of the original improper fraction
reflection
median
equal to 1

21. 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.
Even
Zero multiplied by any value
The concept of trading decimal places and how it works
median

22. Percent Decrease Formula ?
Original x (1 - x/100) = New
2
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Unknown quantities

23. In order to understand and use exponents that are fractions or decimals - you must first know about
Wage Rate ($ per hr) x Hrs worked
Evaluating Powers With Negative Exponents
exponent
roots of numbers

24. ' x percent' = ?
Homogenous or Heterogenous
To make sure to solve for Both cases.
x-coordinate
x/100

25. Method: convert Decimal to Percent?
pi
Shift DP 2 places right
dividend
Percent Change

26. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
Axiom III.
62.5%
Even or Non-Int

27. A polygon with six sides.
To convert any fraction to higher terms
quotient
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
hexagon

28. Everything may be assumed as unity.
Multitudes and Magnitudes
perimeter
Axiom I.
difference

29. The Sum of n consecutive integers is Not divisible by n if n is
Computation
Even
rectangle
proper fraction

30. Things are Equal in Multitude when they are
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
referred to Unity in the same way
quotient
Composite number

31. An eight-sided polygon
the Complement of that part to the whole
octagon
base
range

32. What is the formula forCounting consecutive multiples?
mode
improper fraction
quadrilateral
( (Last - First) / Increment ) + 1

33. In a division problem - it's the number being divided
y-coordinate
improper fraction
multiplier
dividend

34. Even X Even = ? ... and is div. by ?
Different Units
Even div. by 4
difference
base

35. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
Unit Cost + Markup
quadrilateral
factoring

36. Profit = ?
proportion
equal to 1 divided by that number with a positive exponent
Revenue ($) - Cost ($)
Inequality

37. The number doing the dividing is called the
Known quantities
divisor
mixed number
perimeter

38. A whole number can be expressed as an improper fraction by
Some integer/Some Power of 10
parallel lines
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
putting that number over 1

39. One of the four regions formed by the intersection of the axes of a coordinate graph
Odd or Non-Int
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
quadrant
When to use the Heavy Division Shortcut - and how to do it

40. The ratio of integers that results in a terminating decimal
Aliquant Part
Some integer/Some Power of 10
diameter
octagon

41. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
equal to 1 divided by that number with a positive exponent
Odd or Non-Int
Zero multiplied by any value
median

42. An angle measuing more than 0 degrees and less than 90 degrees
denominator
contains only a single number
acute angle
The concept of trading decimal places and how it works

43. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
equation
perimeter
Mathematics
scale drawing

44. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Aliquant Part
Multitude
lowest terms
inverse operations

45. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Parts
Axiom IX.
mode
To square an equation to solve it

46. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Multitudes and Magnitudes
Every integer between 1 and X - inclusive - must be a factor of X
range
Greater

47. Any number with an exponent of 1
axiom
equal to itself.
difference
quotient

48. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
equilateral triangle
To convert any fraction to higher terms
Revenue ($) - Cost ($)

49. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
improper fraction
lowercase Variables
Whole

50. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
quotient
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
greatest common factor (GCF)
simplify