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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. A comparison of the two values of two numbers
Step 1 of Converting mixed numbers to improper fractions
mean
ratio
To add integers that have the same sign both positive or both negative:

2. Two angles whose sum is 180 degrees
theorem
Negative-value integers
supplementary angles
sample

3. A unit for measuring area
cross product
square unit
obtuse angle
parallelogram

4. The largest integer that can be divided evenly into both the numerator and denominator.
Step 2 of Converting mixed numbers to improper fractions
Reducing by the Largest Common Factor (LCF)
Relative multitude
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

5. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mode
(Last - First + 1)
Unit Price x Qty. Sold
When the addends have the same sign both + or both -

6. Rules that tell which steps to follow when solving an expression
x-coordinate
order of operations
quadrilateral
both integers are positive or both are negative

7. A self-evident statement - that is - one that does not need to be demonstrated.
rate
mode
axiom
Evaluating Powers With Negative Exponents

8. A triangle with sides of different lengths and no two angles are the same
( (Last - First) / Increment ) + 1
theorem
To add integers that have opposite signs:
scalene triangle

9. A number that is a factor of two or more numbers.
right triangle
common factor
they have the same absolute value
reciprocal

10. An equation stating that two ratios are equal
proportion
mixed number
To add integers that have the same sign both positive or both negative:
Parts

11. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
Subtracting Signed Integers
When to use the Heavy Division Shortcut - and how to do it
Reducing: The Brute-Force Method
vertex (vertices - plural)

12. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
improper fraction
equivalent
Relative multitude
denominator

13. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
Greater
ordered pair
To add integers that have the same sign both positive or both negative:

14. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
When to use the Heavy Division Shortcut - and how to do it
Odd
To add integers that have the same sign (both positive or both negative):

15. The ratio of integers that results in a terminating decimal
Zero (0)
Some integer/Some Power of 10
'six cubed'
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

16. 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.
Percent Decrease Formula
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?
equilateral triangle
To add integers that have the same sign both positive or both negative:

17. A solid figure with two congruent and parallel circular bases
Even
Shift DP 2 places left
cross product
cylinder

18. The numerator is greater than - or equal to - the denominator
dividing the numerator and denominator by the same number
Is zero
Even or Non-Int
improper fraction

19. A triangle that has three equal sides and three equal angles
equilateral triangle
mean
To add integers that have opposite signs:
To square an equation to solve it

20. Two angles whose sum equals 90 degrees
complementary angle
Non-Int
A = (Base x Height) / 2 - A = (BH)/2
percent

21. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
When the addends have the same sign both + or both -
roots of numbers
1

22. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
percent
sum
To add integers that have opposite signs:
Even

23. Adding integers that have opposite signs means
one is positive and the other is negative
isosceles triangle
angle
commutative law of multiplication

24. Operations enclosed in a sign of grouping
equal to 1
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
62.5%
Always completed first

25. Original x (1 - x/100) = New
Percent Decrease Formula
always clear the innermost groups first
hexagon
y-axis

26. Total Sales or Revenue = ?
Unit Price x Qty. Sold
inverse
1 - (y/100)
divisor

27. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
Non-Int
Computation
Power notation

28. Species and Number may be
Homogenous or Heterogenous
octagon
roots of numbers
the same point on the number line

29. What are the rules for picking numbers in VICS?
reciprocal
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
Fractions allow you to plot values between whole numbers and integers.
common denominator

30. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
integer or whole number
factor
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
unit ratio

31. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
straight angle
Species
square unit
Increases the value.

32. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Aliquot Part
The Ratio of Any two of the following: Original - Change and New
Adding negative integers will always produce a negative sum
composite number

33. The difference between the least and greatest values in a set of numbers.
range
right triangle
x = (+-) a
Known (Given) and Unknown (Sought)

34. 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
Odd
square unit
Unit Price x Qty. Sold
Wage Rate ($ per hr) x Hrs worked

35. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
Both
median
Inserting a zero at the right end of a whole number

36. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Always completed first
Converting mixed numbers to improper fractions.
Multitude
Mathematics

37. No integer (except 1) that divides evenly into both the numerator and denominator.
multiplicand
reduced fraction
Power notation
To make sure to solve for Both cases.

38. The number doing the dividing is called the
Relative multitude
Odd
Multitudes and Magnitudes
divisor

39. Reducing fractions is
x-coordinate
The concept of trading decimal places and how it works
dividing the numerator and denominator by the same number
multiplicand

40. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Change + - Original = New
order of operations
polygon
equal to 1 divided by that number with a positive exponent

41. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Revenue ($) - Cost ($)
from left to right
y-coordinate
polygon

42. Two numbers are said to be equal (=) when they are at
Zero (0)
the same point on the number line
Evaluating Powers With Negative Exponents
1 - (y/100)

43. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
fraction or broken number
reflection
Relative multitude
Different Units

44. The number to be multiplied by is called the
multiplier
proper fractions
The sum of all the integers from 20 to 100 - inclusive
Whole

45. To indicate the addition operation- to indicate a positive integer value
Step 2 of Converting mixed numbers to improper fractions
square unit
congruent
A plus sign (+) is used for two entirely different purposes:

46. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
circumference
A = (Base x Height) / 2 - A = (BH)/2
quadrant
Decimals/Percents

47. A parallelogram with all sides equal and congruent
they have the same absolute value
rhombus
The bottom side of the triangle
denominator

48. An angle measuring more than 90 degrees and less than 180 degrees
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
parallel lines
obtuse angle
prime number

49. 0 to any power is equal to
mixed number
0
composite number
improper fractions

50. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Odd
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
How the Last Digit Shortcut works
To add integers that have the same sign (both positive or both negative):