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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 result of dividing one number by another; the solution to a division problem
quotient
lowest terms
Axiom IV.
Axiom IX.

2. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
1 and itself
Revenue ($) - Cost ($)
proper fractions
simplify

3. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
proper fraction
right triangle
Odd or Non-Int

4. 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
When the addends have the same sign both + or both -
Quantity
multiplier
2

5. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
Original x (1 - x/100) = New
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
product

6. 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
Odd
y-axis
When to use fractions
mixed fractions

7. An equation stating that two ratios are equal
Unit Price x Qty. Sold
pi
proportion
Positive-value integers

8. When will a decimal Not terminate and why?
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
congruent
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
There are two parts in the procedure for subtracting signed integers:

9. The total of two or more numbers being added
Odd or Non-Int
sum
Magnitude
Always completed first

10. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
improper fraction
like fractions
Shift DP 2 places right

11. Having the same size and shape
proper fraction
denominator
congruent
Axiom X.

12. The horizontal number line of a coordinate graph
Sale Price - Unit Cost
x-axis
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
factor

13. 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
How the Last Digit Shortcut works
isosceles triangle
Subtracting Signed Integers
A = (D1 x D2) / 2

14. Original x (1 - x/100) = New
Same units
Percent Decrease Formula
Aliquant Part
prism

15. The numerator of the fraction part of the mixed number is the remainder from the
Axiom II.
quotient
1
mode

16. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
( (Last - First) / Increment ) + 1
Even
putting that number over 1

17. One of those primes must be the number __ ?
multiplier
factors of the multiplication operation
quotient
A sum of 2 primes is Odd

18. Every number is contained in itself once.
Axiom VII.
Step 2 of Converting mixed numbers to improper fractions
product
radius

19. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
Original + Change = New Change/Original = Percent Change
Axiom IX.
lowercase letters

20. No integer (except 1) that divides evenly into both the numerator and denominator.
both integers are positive or both are negative
1
reduced fraction
prism

21. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
'six cubed'
higher terms
complementary angles

22. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
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.
Percent Change
lowercase Variables
Odd

23. Zero divided by any whole number (except 0)
A plus sign (+) is used for two entirely different purposes:
2
Known quantities
Is zero

24. Indicates the number of times the base is to be multiplied
prism
exponent
Unit Price x Qty. Sold
Wage Rate ($ per hr) x Hrs worked

25. The number being multiplied is called the
unit ratio
Same units
percent
multiplicand

26. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
before solving
When you are absolutely sure the variable or expression <> 0
To make sure to solve for Both cases.
Evaluating Powers With Negative Exponents

27. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
prism
Adding negative integers will always produce a negative sum
prime number
improper fractions

28. A mirror image of a figure shown over a line of reflection
reflection
like fractions
Axiom VIII.
1

29. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
numerator
When the addends have opposite signs one is + and the other is -
the same point on the number line

30. 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
composite number
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
exponent
There are two parts in the procedure for subtracting signed integers:

31. A quadrilateral with two pairs of congruent - parallel sides
scalene triangle
improper fraction
base
parallelogram

32. The greater any number is in comparison to another - the more equal parts will it contain of that other.
dividend
mode
To add integers that have the same sign both positive or both negative:
Axiom IX.

33. Total Earnings ($) = ?
mixed number
When to use fractions
Axiom I.
Wage Rate ($ per hr) x Hrs worked

34. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Aliquant Part
Evaluating Powers With Negative Exponents
expression
congruent

35. Operations enclosed in a sign of grouping
Equal
Always completed first
proper fraction
Is zero

36. A whole number can be expressed as an improper fraction by
Even
percent
putting that number over 1
Sale Price - Unit Cost

37. Method: convert Percent to Decimal?
mean
Axiom IV.
fraction or broken number
Shift DP 2 places left

38. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Even - Odd or Non-Int
Known quantities
Step 2 of Converting mixed numbers to improper fractions
Proof

39. The number to be multiplied by is called the
multiplier
improper fraction
putting that number over 1
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?

40. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
pyramid
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?
unit ratio
mixed fraction

41. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
Even
factoring
vertex (vertices - plural)

42. .625 --> Percent?
improper fraction
The Decimal Numbering System
Even or Non-Int
62.5%

43. By the last letters (u - x - y - etc.)
acute angle
circumference
area
Known quantities

44. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
The concept of trading decimal places and how it works
dividend
Step 1 of Converting Improper Fractions to Mixed Numbers

45. 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.
supplementary angles
complementary angles
The concept of trading decimal places and how it works
Step 2 of Converting mixed numbers to improper fractions

46. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Power notation
Even - Odd or Non-Int
Different Units
inverse operations

47. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Step 2 of Converting mixed numbers to improper fractions
UnitPrice ($/unit) x Qty.Purchas'd (units)
0
Same units

48. An angle that measures 90 degrees
When the addends have the same sign both + or both -
acute angle
circumference
right angle

49. If 2 numbers are OPPOSITES of each other
x/100
they have the same absolute value
parallelogram
2^3 = 8

50. One number is said to be less than (<) another when it is
When the addends have opposite signs one is + and the other is -
reflection
median
farther to the left on the number line