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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. 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.
farther to the left on the number line
Carry the 10's digit of the product to the top of the 10's column of factors.
right triangle
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?
2. A fraction with all common factors (other than 1) factored out of the numerator and denominator
before solving
lowest terms
Power notation
Alternative to the algebraic manipulation method to solving a VIC
3. A unit for measuring area
Different Units
cross product
Aliquot and Aliquant Parts
square unit
4. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
inverse operations
integers
common factor
5. For there to be X unique factors of X - what must be true?
circumference
rectangle
Every integer between 1 and X - inclusive - must be a factor of X
Reducing by the Largest Common Factor (LCF)
6. The number to be multiplied by is called the
Zero (0)
multiplier
1
circumference
7. Has no sign value
Zero (0)
whether the addends have the same sign or opposite signs
parallel lines
multiplicand
8. The two kinds of Quantity are
Composite number
Quantity is expressed
divisor
Multitudes and Magnitudes
9. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Some integer/Some Power of 10
area
prime number
Even
10. A ratio that compares two different types of quantities
rate
y-coordinate
Original + Change = New Change/Original = Percent Change
composite number
11. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
Revenue ($) - Cost ($)
ordered pair
greatest common factor (GCF)
12. Odd +/- ____ = Odd
Even
they have the same absolute value
whether the addends have the same sign or opposite signs
parallelogram
13. The numerator is greater than - or equal to - the denominator
When numbers do not divide evenly
Converting Improper Fractions to Mixed Numbers
improper fraction
similar figures
14. The Sum of n consecutive integers is divisible by n if n is
Odd
octagon
Even - Odd or Non-Int
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
15. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Carry the 10's digit of the product to the top of the 10's column of factors.
denominator
The concept of trading decimal places and how it works
Axiom VI.
16. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Unit Cost + Markup
x-axis
Arithmetic - Music - Geometry and Astronomy
lowest terms
17. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
change the operation from subtraction to addition
order of operations
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.
Odd
18. All whole numbers (both positive and negative) and zero.
before solving
integers
Number Systems
trapezoid
19. A quadrilateral with one pair of parallel sides
trapezoid
rhombus
integer or whole number
product
20. Surface space that is measured in square units.
area
5/8
Absolute and Relative
Sale Price - Unit Cost
21. 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
quotient
right angle
Mathematics
22. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
multiplier
Reducing: The Brute-Force Method
circumference
23. What is the perimeter of a Polygon?
dividing the numerator and denominator by the same number
circumference
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Every integer between 1 and X - inclusive - must be a factor of X
24. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
Decreases
from left to right
Axiom X.
25. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
prism
integer values
x = (+-) a
squared
26. The result of the division called the
scale drawing
x-axis
quotient
least common multiple (LCM)
27. Taken together - the multiplicand and multiplier are known as
denominator
square unit
x = (+-) a
factors of the multiplication operation
28. 0.625 --> Fraction ?
5/8
parallelogram
unit ratio
Whole Numbers
29. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Even div. by 4
similar figures
radius
Computation
30. Adding integers that have the same sign means
y-coordinate
both integers are positive or both are negative
To square an equation to solve it
equation
31. The horizontal number line of a coordinate graph
expression
product
x-axis
proportion
32. A number that tells how many times the base is multiplied by itself
When numbers do not divide evenly
commutative law of multiplication
exponent
When the addends have opposite signs one is + and the other is -
33. TotalCost($) = ?
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34. Is the disagreement of things in Quantity.
integer or whole number
Inequality
prism
Axiom III.
35. The distance around a circle (the perimeter of a circle)
circumference
median
Percent Change
quadrilateral
36. When will a decimal terminate and why?
Negative-value integers
Odd
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
exactly the same portion
37. The smallest multiple that two or more numbers have in common
proportion
product
least common multiple (LCM)
One... the number 2
38. A polygon with six sides.
denominator
Even
quadrilateral
hexagon
39. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
mixed number
Both
2
How the Last Digit Shortcut works
40. A number with only two factors: the number itself and one.
Relative multitude
Adding negative integers will always produce a negative sum
62.5%
prime number
41. Method: convert Percent to Decimal?
the same point on the number line
Shift DP 2 places left
before solving
supplementary angles
42. A polygon that has four sides.
ratio
Zero (0)
quadrilateral
'six cubed'
43. What is the formula for: The Area of a Triangle ?
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
A = (Base x Height) / 2 - A = (BH)/2
Shift DP 2 places left
octagon
44. What is the formula forCounting consecutive integers?
Unit Price x Qty. Sold
(Last - First + 1)
Odd or Non-Int
composite number
45. In a group of values - the value that occurs most often
Being divided by a power of 10
dividing the numerator and denominator by the same number
To make sure to solve for Both cases.
mode
46. Total Sales or Revenue = ?
Unit Price x Qty. Sold
mixed fractions
Homogenous or Heterogenous
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
47. The absolute value of numbers is indicated by
order of operations
equilateral triangle
enclosing the numbers in a pair of vertical lines | |
Different Units
48. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
product
cubed
Proof
higher terms
49. A self-evident statement - that is - one that does not need to be demonstrated.
radius
axiom
prism
Unit Price x Qty. Sold
50. Sale Price = ?
Unit Cost + Markup
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?
dividend
quotient