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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. To indicate the subtraction operation - to indicate a negative integer value
quadrilateral
A minus sign ( - ) is used for two entirely different purposes:
x-axis
Unit Price x Qty. Sold

2. When the product in the 1's column is greater than 9

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3. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Inserting a zero at the right end of a whole number
Different Units
hexagon
Aliquot Part

4. A triangle with sides of different lengths and no two angles are the same.
The Decimal Numbering System
rhombus
supplementary angles
scalene triangle

5. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
sample
pentagon
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
vertex (vertices - plural)

6. The absolute value of numbers is indicated by
Number Systems
Whole
enclosing the numbers in a pair of vertical lines | |
A = (D1 x D2) / 2

7. Adding integers that have the same sign means
base
The rule for adding negative integers is the same as the rule for adding positive integers:
both integers are positive or both are negative
dividend

8. Always perform combinations of multiplication and division before
combination of addition and subtraction
squared
inverse
Axiom IX.

9. A fraction with all common factors (other than 1) factored out of the numerator and denominator
improper fractions
absolute value
Odd
lowest terms

10. 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.
Converting mixed numbers to improper fractions.
denominator
combination of addition and subtraction
Magnitude at Rest and Magnitude in Motion

11. An angle measuring more than zero degrees and less than 90 degrees
parallelogram
acute angle
Change / Original Formula?
scalene triangle

12. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
simplify
Different Units
radius
Relative multitude

13. An angle measuring more than 90 degrees and less than 180 degrees
putting that number over 1
Quantity is expressed
obtuse angle
Odd

14. When will a decimal terminate and why?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
lowest terms
circumference
improper fractions

15. Profit = ?
Revenue ($) - Cost ($)
Inserting a zero at the right end of a whole number
square unit
divisor

16. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
integer or whole number
pi
Zero (0)

17. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
UnitPrice ($/unit) x Qty.Purchas'd (units)
multiplier
sum
cross product

18. 3 ways to solve an absolute value inequality
acute angle
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
Converting mixed numbers to improper fractions.
combination of addition and subtraction

19. The distance around a circle (the perimeter of a circle).
parallel lines
multiplicand
circumference
When to use the Heavy Division Shortcut - and how to do it

20. An equation stating that two ratios are equal
denominator
product
A = (D1 x D2) / 2
proportion

21. Total Sales or Revenue = ?
composite number
Terminating decimal
Always completed first
Unit Price x Qty. Sold

22. A number that when multiplied by itself results in the original number
( (Last - First) / Increment ) + 1
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
order of operations
square root

23. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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24. Always try to Factor a quadratic equation
To add integers that have opposite signs:
prism
before solving
rhombus

25. Method: convert Percent to Decimal?
Odd
Shift DP 2 places left
pi
proper fractions

26. Cross-multiply
To find out - easily - if one fraction is bigger than another
sum
simplify
probability

27. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
hexagon
0.625
One... the number 2

28. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Axiom III.
factor
least common multiple (LCM)
farther to the left on the number line

29. What is the formula forCounting consecutive integers?
composite number
percent
(Last - First + 1)
Subtracting Signed Integers

30. Multiply both the numerator and denominator by the same integer value.
scalene triangle
To convert any fraction to higher terms
inverse
scale drawing

31. The vertical number line of a coordinate graph
scale drawing
y-axis
mode
Shift DP 2 places right

32. Always perform the operations
from left to right
factor
composite number
prime number

33. To make a fraction easier to work with by taking out common factors
mode
equilateral triangle
putting that number over 1
simplify

34. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
higher terms
scalene triangle
integer or whole number
order of operations

35. The numerator is smaller than the denominator
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
proper fraction
Whole
Alternative to the algebraic manipulation method to solving a VIC

36. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Shift DP 2 places right
Proof
complementary angles
Axiom V.

37. Any number with a negative exponent
equal to 1 divided by that number with a positive exponent
Axiom VI.
Absolute and Relative
perimeter

38. One of the four regions formed by the intersection of the axes of a coordinate graph
Even
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
Whole Numbers
quadrant

39. A number with an exponent of 2 is often said to be
squared
Converting mixed numbers to improper fractions.
Even
pi

40. TotalCost($) = ?

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41. A ratio that compares two different types of quantities
Axiom III.
rate
Fractions allow you to plot values between whole numbers and integers.
When numbers do not divide evenly

42. 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
area
A sum of 2 primes is Odd
both integers are positive or both are negative
When to use fractions

43. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
octagon
When numbers do not divide evenly
absolute value
Both

44. 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
polygon
Non-Int
Some integer/Some Power of 10

45. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Converting mixed numbers to improper fractions.
Odd
Greater
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

46. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
cylinder
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
enclosing the numbers in a pair of vertical lines | |

47. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
cubed
lowercase Variables
When you are absolutely sure the variable or expression <> 0

48. A triangle with one right angle
Non-Int
There are two parts in the procedure for subtracting signed integers:
referred to the same Unit
right triangle

49. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
Magnitude
base
Known quantities

50. Anything that may be increased or diminished
unit ratio
Odd
improper fraction
Quantity