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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. Odd / Even = ? e.g. 9/6 = 1.5
Axiom IX.
octagon
congruent
Non-Int

2. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
pentagon
divisor
To add integers that have opposite signs:
quotient

3. 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
base
fraction or broken number
Odd
reflection

4. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
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
denominator
polygon
complementary angles

5. Surface space that is measured in square units
area
cross product
Axiom I.
Original x (1 - x/100) = New

6. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
absolute value
ratio
expression

7. What is the only Even prime number?
Axiom III.
2
Is zero
To convert any fraction to higher terms

8. A ratio that shows the cost per unit of measure
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
unit ratio
Axiom VII.
higher terms

9. 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
Carry the 10's digit of the product to the top of the 10's column of factors.
Quantity is expressed
Absolute and Relative

10. An angle that measures 180 degrees
perimeter
straight angle
rhombus
denominator

11. A number with an exponent of 3 is often said to be
equal to itself.
cubed
the same point on the number line
reciprocal

12. Rules that tell which steps to follow when solving an expression
Odd
The sum of all the integers from 20 to 100 - inclusive
dividend
order of operations

13. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
Revenue ($) - Cost ($)
equivalent
referred to the same Unit

14. The largest single factor for two or more numbers.
proportion
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
greatest common factor (GCF)
lowest terms

15. A parallelogram with four right angles
rectangle
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
before solving
Increases the value.

16. Is the agreement of things in Quanity.
farther to the left on the number line
hexagon
Equality
composite number

17. In a division problem - the number that an amount is divided by
area
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
divisor
A sum of 2 primes is Odd

18. 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 intege
common factor
Being divided by a power of 10
There are two parts in the procedure for subtracting signed integers:
axiom

19. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Alternative to the algebraic manipulation method to solving a VIC
Even div. by 4
To square an equation to solve it
ratio

20. What is the formula forCounting consecutive integers?
A = (D1 x D2) / 2
Original x (1 - x/100) = New
product
(Last - First + 1)

21. The difference between the least and greatest values in a set of numbers.
range
improper fraction
prime number
exponent

22. Is the disagreement of things in Quantity.
The sum of all the integers from 20 to 100 - inclusive
multiplicand
Inequality
acute angle

23. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Axiom VII.
Aliquant Part
lowest terms
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

24. A number with an exponent of 2 is often said to be
rate
Unknown quantities
Aliquot Part
squared

25. Decreasing the Denominator of a fraction Increases/Decreases the value?
Increases the value.
circumference
quotient
mixed number

26. 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.
square root
A = (Base x Height) / 2 - A = (BH)/2
higher terms
right angle

27. Profit = ?
roots of numbers
Whole
Unknown quantities
Revenue ($) - Cost ($)

28. When the factors of a number are all prime numbers - the factors are said to be the
'five squared'
Always completed first
prime factors
squared

29. A whole number that has only one set of factors - itself and 1.
ratio
A minus sign ( - ) is used for two entirely different purposes:
prime number
Positive-value integers

30. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
2
Odd
denominator
y-axis

31. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
reciprocal
y-axis
dividing the numerator and denominator by the same number

32. The process of breaking a number down into its factors is called
Number
factoring
mixed number
Any value multiplied by one

33. The distance around a circle (the perimeter of a circle)
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?
circumference
parallel lines
2

34. Reducing fractions is
unit ratio
Quantity is expressed
multiplicand
dividing the numerator and denominator by the same number

35. Two angles whose sum is 180 degrees
lowercase letters
Even div. by 4
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
supplementary angles

36. The ratio of integers that results in a terminating decimal
Inequality
x-axis
Some integer/Some Power of 10
sample

37. One number is said to be greater than (>) another when it is
A plus sign (+) is used for two entirely different purposes:
Reducing: The Brute-Force Method
quotient
farther to the right on the number line.

38. Has no sign value
2
Zero (0)
perimeter
Odd

39. Is ZERO positive or negative - both - or none?
Equality
Both
mean
proper fraction

40. Area of a Rhombus is?
change the operation from subtraction to addition
A = (D1 x D2) / 2
Axiom I.
Magnitude at Rest and Magnitude in Motion

41. A polygon with six sides.
improper fraction
Odd
hexagon
divisor

42. Any number with a negative exponent
Positive-value integers
Even div. by 4
equal to 1 divided by that number with a positive exponent
Alternative to the algebraic manipulation method to solving a VIC

43. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
When to use fractions
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
Same units
Even

44. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
trapezoid
Unity - or a Unit
Greater
probability

45. What are the 2 'percent change' equations?
Absolute and Relative
mode
Quantity
Original + Change = New Change/Original = Percent Change

46. Any number with an exponent of 0
The rule for adding negative integers is the same as the rule for adding positive integers:
both integers are positive or both are negative
median
equal to 1

47. Any whole number can be expressed in terms of the
There are two parts in the procedure for subtracting signed integers:
product
More
divisor

48. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
improper fraction
inverse
lowest terms
When numbers do not divide evenly

49. Having the same size and shape
congruent
Step 1 of Converting mixed numbers to improper fractions
denominator
Axiom IV.

50. One of those primes must be the number __ ?
A sum of 2 primes is Odd
circumference
2 and/or 5 only
radius