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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. 1/2 - 1/3 - 2/3 - -5/8
1
probability
proper fractions
before solving

2. 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 integ
pyramid
Subtracting Signed Integers
reflection
prime number

3. In a division problem - it's the number being divided
parallelogram
dividend
factoring
A = (D1 x D2) / 2

4. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Any value multiplied by one
Even
Odd or Non-Int
vertex (vertices - plural)

5. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
rectangle
probability
whether the addends have the same sign or opposite signs

6. A triangle with one right angle
right triangle
supplementary angles
commutative law of multiplication
(Last - First + 1)

7. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
prism
equivalent
axiom

8. To make a fraction easier to work with by taking out common factors
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
To add integers that have the same sign both positive or both negative:
0.625
simplify

9. One of those primes must be the number __ ?
Inserting a zero at the right end of a whole number
Adding negative integers will always produce a negative sum
A sum of 2 primes is Odd
congruent

10. Why are Even Exponents dangerous?
scale drawing
Reducing fractions
Always completed first
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

11. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
fraction or broken number
Subtracting Signed Integers
exactly the same portion
The Ratio of Any two of the following: Original - Change and New

12. A quadrilateral with one pair of parallel sides
lowercase Variables
congruent
trapezoid
Always completed first

13. The four Mathematical arts are:
area
Decimals/Percents
Axiom I.
Arithmetic - Music - Geometry and Astronomy

14. A ratio that shows the cost per unit of measure
Unity - or a Unit
acute angle
unit ratio
To square an equation to solve it

15. A comparison of the two values of two numbers
Percent Decrease Formula
ratio
range
sample

16. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
theorem
prime factors
Even
the denominator of the original improper fraction

17. Surface space that is measured in square units.
improper fraction
area
Even
Alternative to the algebraic manipulation method to solving a VIC

18. Is the disagreement of things in Quantity.
Inequality
rhombus
Revenue ($) - Cost ($)
vertex (vertices - plural)

19. The horizontal number line of a coordinate graph
isosceles triangle
x-axis
Unit Cost + Markup
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

20. A number is increased by 25%... what must you reduce the new number by to get the old number again?
referred to the same Unit
A = (Base x Height) / 2 - A = (BH)/2
x-coordinate
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

21. Can have many different combinations of factors
Composite number
median
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% - 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

22. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
Is equal to the original value
More
Unit Cost + Markup
ratio

23. Two angles whose sum is 180 degrees
supplementary angles
radius
0
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

24. For there to be X unique factors of X - what must be true?
range
order of operations
Every integer between 1 and X - inclusive - must be a factor of X
The height of a triangle

25. 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:
Change + - Original = New
ordered pair
quadrilateral

26. The absolute value of numbers is indicated by
Odd
enclosing the numbers in a pair of vertical lines | |
quotient
polygon

27. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
scalene triangle
Quantity is expressed
Axiom VIII.
Step 1 of Converting Improper Fractions to Mixed Numbers

28. When will a decimal terminate and why?
Percent Decrease Formula
Number Systems
prism
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

29. A parallelogram with all sides equal and congruent
rhombus
Known quantities
quadrilateral
Arithmetic - Music - Geometry and Astronomy

30. Change/Original = New
'five squared'
Original + Change = New Change/Original = Percent Change
circumference
Percent Change

31. The absolute value of the numerator is smaller than the absolute value of the denominator.
Percent Change
change the operation from subtraction to addition
quadrant
proper fraction

32. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
right angle
When the addends have opposite signs one is + and the other is -
Being divided by a power of 10
referred to the same Unit

33. A mathematical sentence that uses an equal sign
Computation
equation
Converting Improper Fractions to Mixed Numbers
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

34. The process of breaking a number down into its factors is called
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 the addends have opposite signs one is + and the other is -
factoring
1 - (y/100)

35. 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
divisor
Sale Price - Unit Cost
when there are explicit or implicit equations in the problem:
When to use fractions

36. The whole is more or greater than its part.
Axiom IV.
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
equal to 1
x-coordinate

37. One number is said to be less than (<) another when it is
quotient
farther to the left on the number line
Even
proportion

38. Any value divided by one
Is equal to the original value
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Axiom III.
When the addends have the same sign both + or both -

39. An eight-sided polygon
they have the same absolute value
octagon
pentagon
There are two parts in the procedure for subtracting signed integers:

40. 3 ways to solve an absolute value inequality
Zero (0)
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
cubed
Parts

41. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
To add integers that have the same sign (both positive or both negative):
vertex (vertices - plural)
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

42. If 2 numbers are OPPOSITES of each other
they have the same absolute value
equal to itself.
equilateral triangle
Converting mixed numbers to improper fractions.

43. The method for indicating the power of a number
Converting mixed numbers to improper fractions.
Power notation
scale drawing
squared

44. What's the reciprocal of v6 - and why?
the Complement of that part to the whole
angle
mixed fraction
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

45. How many Even primes are there?
product
Inserting a zero at the left end of a whole number
One... the number 2
Number

46. Always try to Factor a quadratic equation
To add integers that have the same sign both positive or both negative:
The concept of trading decimal places and how it works
before solving
combination of addition and subtraction

47. A line segment that passes through the center of a circle and has its endpoints on the circle
Any value multiplied by one
To convert any fraction to higher terms
diameter
inverse

48. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
To square an equation to solve it
Inserting a zero at the right end of a whole number
Subtracting Signed Integers

49. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Quantity is expressed
Is equal to the original value
2
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

50. A parallelogram with four right angles
expression
equal to 1
rectangle
quotient