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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 four Mathematical arts are:
Increases the value.
Arithmetic - Music - Geometry and Astronomy
( (Last - First) / Increment ) + 1
both integers are positive or both are negative

2. Odd / Even = ? e.g. 9/6 = 1.5
unit ratio
Even
fraction or broken number
Non-Int

3. The two kinds of Multitude
product
x-coordinate
prism
Absolute and Relative

4. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
vertex (vertices - plural)
farther to the left on the number line
Aliquot Part
Even div. by 4

5. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
inverse operations
equation
Step 2 of Converting Improper Fractions to Mixed Numbers
both integers are positive or both are negative

6. A ratio that compares two different types of quantities
rate
lowercase letters
A minus sign ( - ) is used for two entirely different purposes:
Revenue ($) - Cost ($)

7. What is the formula forCounting consecutive multiples?
'five squared'
they have the same absolute value
( (Last - First) / Increment ) + 1
multiplicand

8. A Polygon is a closed shape formed by
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
To add integers that have the same sign both positive or both negative:
To add integers that have opposite signs:
Line Segments

9. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Unit Price x Qty. Sold
proper fractions
scalene triangle
scale drawing

10. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
'five squared'
simplify
Mathematics
supplementary angles

11. A parallelogram with four right angles
rectangle
Reducing fractions
Number
Long Division

12. The exact procedure for adding signed integers depends upon
reciprocal
vertex (vertices - plural)
whether the addends have the same sign or opposite signs
hexagon

13. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Converting Improper Fractions to Mixed Numbers
lowest terms
Change + - Original = New
To add integers that have opposite signs:

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
Terminating decimal
Increases the value.
Shift DP 2 places left
Adding negative integers will always produce a negative sum

15. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
parallel lines
when there are explicit or implicit equations in the problem:
dividing the numerator and denominator by the same number
Different Units

16. Total Sales or Revenue = ?
( (Last - First) / Increment ) + 1
contains only a single number
exponent
Unit Price x Qty. Sold

17. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
Even
Axiom IV.
unit ratio

18. Things are Equal in Multitude when they are
To add integers that have the same sign both positive or both negative:
referred to Unity in the same way
Equal
How the Last Digit Shortcut works

19. In a division problem - it's the number being divided
When the addends have the same sign both + or both -
scalene triangle
dividend
Non-Int

20. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
To add integers that have opposite signs:
y-coordinate
Axiom IX.
improper fraction

21. A triangle with sides of different lengths and no two angles are the same
Wage Rate ($ per hr) x Hrs worked
scalene triangle
Sale Price - Unit Cost
Line Segments

22. The Sum of n consecutive integers is Not divisible by n if n is
pyramid
Even
Sale Price - Unit Cost
congruent

23. Anything that may be increased or diminished
pi
Quantity
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
A = (Base x Height) / 2 - A = (BH)/2

24. In a division problem - the number that an amount is divided by
perimeter
Subtracting Signed Integers
fraction or broken number
divisor

25. Rules that tell which steps to follow when solving an expression
order of operations
Even div. by 4
radius
Converting Improper Fractions to Mixed Numbers

26. One number is said to be greater than (>) another when it is
fraction or broken number
Different Units
farther to the right on the number line.
similar figures

27. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
cylinder
Proof
referred to the same Unit
Odd

28. Reversed position or direction
( (Last - First) / Increment ) + 1
circumference
Wage Rate ($ per hr) x Hrs worked
inverse

29. Having the same size and shape
Unit Price x Qty. Sold
percent
congruent
Change / Original Formula?

30. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
probability
Even
rhombus
UnitPrice ($/unit) x Qty.Purchas'd (units)

31. The ratio of a number to 100 (per one hundred); the symbol %
Change / Original Formula?
percent
To make sure to solve for Both cases.
Subtracting Signed Integers

32. 5/8 --> Decimal ?
quotient
prism
0.625
prime factorization

33. The largest single factor for two or more numbers.
equal to 1 divided by that number with a positive exponent
1
greatest common factor (GCF)
inverse

34. Every number is contained in itself once.
prime number
Axiom VII.
Power notation
integer values

35. The numerator of the fraction part of the mixed number is the remainder from the
A sum of 2 primes is Odd
quotient
Original x (1 - x/100) = New
Even

36. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
numerator
order of operations
Odd
absolute value

37. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
2
Equal
Even

38. Why are Even Exponents dangerous?
base
Even
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Multitude

39. Part of the population that is studied to find the characteristics of the whole population.
sample
Always completed first
Original x (1 - x/100) = New
both integers are positive or both are negative

40. A parallelogram with all sides equal and congruent
Axiom IV.
x-axis
rhombus
Positive-value integers

41. A triangle with one right angle
improper fraction
Inserting a zero at the right end of a whole number
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
right triangle

42. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
Different Units
radius
quotient

43. The result of muliplying two or more numbers
reciprocal
angle
congruent
product

44. Is ZERO positive or negative - both - or none?
change the operation from subtraction to addition
2
ordered pair
Both

45. 'y percent less than' = ?
complementary angle
order of operations
area
1 - (y/100)

46. The horizontal number line of a coordinate graph
x-axis
rectangle
Magnitude at Rest and Magnitude in Motion
y-axis

47. A number is increased by 25%... what must you reduce the new number by to get the old number again?
the same point on the number line
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
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
x-coordinate

48. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
contains only a single number
y-axis
Is equal to the original value

49. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
(Last - First + 1)
Even
improper fraction
To square an equation to solve it

50. What is an evenly-spaced set?
Arithmetic - Music - Geometry and Astronomy
Shift DP 2 places left
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Reducing by the Largest Common Factor (LCF)