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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. Multiply both the numerator and denominator by the same integer value.
The concept of trading decimal places and how it works
composite number
To convert any fraction to higher terms
one is positive and the other is negative

2. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
When the addends have opposite signs one is + and the other is -
Converting Improper Fractions to Mixed Numbers
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

3. An eight-sided polygon
octagon
Axiom VI.
like fractions
reduced fraction

4. The largest integer that can be divided evenly into both the numerator and denominator.
When you are absolutely sure the variable or expression <> 0
polygon
Reducing by the Largest Common Factor (LCF)
Odd

5. An angle that measures 90 degrees
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
Even
right angle
Reducing fractions

6. All whole numbers (both positive and negative) and zero.
quadrilateral
integers
Odd
congruent

7. A combination of numbers and variables connected by one or more operations signs
Aliquot Part
hexagon
the same point on the number line
expression

8. 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
combination of addition and subtraction
Zero (0)
Being divided by a power of 10
Long Division

9. Two angles whose sum equals 90 degrees
complementary angle
1
Sum of Interior Angles of a Polygon: (n - 2) x 180
Sale Price - Unit Cost

10. What is the formula forCounting consecutive integers?
One... the number 2
improper fractions
Positive-value integers
(Last - First + 1)

11. 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
polygon
y-coordinate
the denominator of the original improper fraction
2

12. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
mixed fractions
whether the addends have the same sign or opposite signs
prism

13. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
commutative law of multiplication
octagon
absolute value
vertex (vertices - plural)

14. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
mean
Long Division
Axiom IV.
A plus sign (+) is used for two entirely different purposes:

15. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
axiom
2^3 = 8
Known quantities
square root

16. Two angles whose sum equals 90 degrees.
Different Units
The concept of trading decimal places and how it works
Decimals/Percents
complementary angles

17. 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
Is equal to the original value
right triangle
whether the addends have the same sign or opposite signs
Subtracting Signed Integers

18. The whole-number system uses only ten characters -0 through 9.
Species
Axiom I.
The Decimal Numbering System
Magnitude

19. 0.625 --> Fraction ?
UnitPrice ($/unit) x Qty.Purchas'd (units)
Zero (0)
5/8
When you are absolutely sure the variable or expression <> 0

20. In order to understand and use exponents that are fractions or decimals - you must first know about
absolute value
roots of numbers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
prism

21. Having the same size and shape
Known quantities
congruent
scalene triangle
Step 2 of Converting Improper Fractions to Mixed Numbers

22. A number that tells how many times the base is multiplied by itself
exponent
Alternative to the algebraic manipulation method to solving a VIC
Unity - or a Unit
A = (D1 x D2) / 2

23. In a division problem - it's the number being divided
dividend
Step 1 of Converting Improper Fractions to Mixed Numbers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Decreases

24. Two or more fractions that have the same denominator
Reducing by the Largest Common Factor (LCF)
like fractions
pentagon
straight angle

25. An angle that measures 180 degrees
Is equal to the original value
trapezoid
Even
straight angle

26. Adding integers that have opposite signs means
Subtracting Signed Integers
62.5%
one is positive and the other is negative
When to use fractions

27. A number that when multiplied by itself results in the original number
inverse operations
square root
UnitPrice ($/unit) x Qty.Purchas'd (units)
pentagon

28. The distance around a figure.
Unit Price x Qty. Sold
parallelogram
proper fraction
perimeter

29. Cross-multiply
Unit Cost + Markup
exactly the same portion
To find out - easily - if one fraction is bigger than another
Percent Decrease Formula

30. When are you allowed to divide by a variable - (or Any expression) ?
Sale Price - Unit Cost
Sum of Interior Angles of a Polygon: (n - 2) x 180
When you are absolutely sure the variable or expression <> 0
axiom

31. 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.
they have the same absolute value
Is equal to the original value
Aliquant Part
integer or whole number

32. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
factors of the multiplication operation
multiplicand
Is equal to the original value
cross product

33. Is the disagreement of things in Quantity.
Being divided by a power of 10
complementary angle
Inequality
A = (D1 x D2) / 2

34. The Sum of n consecutive integers is divisible by n if n is
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.
Odd
Axiom IV.
Unit Price x Qty. Sold

35. The denominator of the fraction part of the mixed number is
When you are absolutely sure the variable or expression <> 0
Revenue ($) - Cost ($)
denominator
the denominator of the original improper fraction

36. Odd +/- ____ = Odd
Even
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
order of operations

37. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Same units
Homogenous or Heterogenous
from left to right
Multitude

38. A triangle with one right angle
right triangle
Is equal to the original value
A plus sign (+) is used for two entirely different purposes:
62.5%

39. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
The concept of trading decimal places and how it works
simplify
farther to the right on the number line.
multiplicand

40. 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.
Different Units
ordered pair
percent
parallelogram

41. The method for indicating the power of a number
To convert any fraction to higher terms
Power notation
combination of addition and subtraction
Shift DP 2 places left

42. Decreasing the Denominator of a fraction Increases/Decreases the value?
Increases the value.
perimeter
complementary angles
before solving

43. 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.
pentagon
the Complement of that part to the whole
x-coordinate
The concept of trading decimal places and how it works

44. The two kinds of Quantity are
enclosing the numbers in a pair of vertical lines | |
Aliquot and Aliquant Parts
'six cubed'
Multitudes and Magnitudes

45. 5/8 --> Decimal ?
Computation
2
radius
0.625

46. For there to be X unique factors of X - what must be true?
Percent Change
denominator
Every integer between 1 and X - inclusive - must be a factor of X
Adding negative integers will always produce a negative sum

47. The Only possible factors for a prime number are
Fractions allow you to plot values between whole numbers and integers.
1 and itself
from left to right
parallelogram

48. 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.
Original + Change = New Change/Original = Percent Change
When numbers do not divide evenly
Is equal to the original value
Zero multiplied by any value

49. The numerator is smaller than the denominator
proper fraction
Original x (1 - x/100) = New
median
( (Last - First) / Increment ) + 1

50. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Unit Price x Qty. Sold
The Ratio of Any two of the following: Original - Change and New
Axiom VII.
Revenue ($) - Cost ($)