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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. Having the same value
To add integers that have the same sign (both positive or both negative):
prime factors
mode
equivalent
2. 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.
supplementary angles
Original x (1 - x/100) = New
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 Price x Qty. Sold
3. Includes an integer as well as a fractional part
x = (+-) a
roots of numbers
Quantity is expressed
mixed number
4. The vertical number line of a coordinate graph
median
pi
y-axis
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
5. A triangle with two equal sides and two equal angles
Odd
order of operations
isosceles triangle
The Decimal Numbering System
6. 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.
mean
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Same units
Step 1 of Converting mixed numbers to improper fractions
7. Sale Price = ?
Unit Cost + Markup
composite number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
sum
8. 5/8 --> Decimal ?
0.625
x-axis
acute angle
improper fraction
9. Indicates the number of times the base is to be multiplied
exponent
improper fraction
scalene triangle
roots of numbers
10. The process of breaking a number down into its factors is called
equation
factoring
quotient
Whole Numbers
11. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Shift DP 2 places right
mode
parallelogram
12. 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.
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
Odd
prism
When numbers do not divide evenly
13. Taken together - the multiplicand and multiplier are known as
they have the same absolute value
whether the addends have the same sign or opposite signs
simplify
factors of the multiplication operation
14. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
farther to the left on the number line
x-coordinate
Decimals/Percents
The height of a triangle
15. A value such as 6^3 can described as
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183
16. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
y-axis
x-axis
2
Even - Odd or Non-Int
17. The whole is more or greater than its part.
radius
proper fraction
proportion
Axiom IV.
18. A polygon with six sides.
hexagon
When numbers do not divide evenly
trapezoid
Absolute and Relative
19. Lines in the same plane that do not intersect. The symbol //
Reducing fractions
Greater
Axiom VI.
parallel lines
20. Change/Original = New
1 - (y/100)
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
Percent Change
order of operations
21. Method: convert Decimal to Percent?
62.5%
Aliquot Part
Shift DP 2 places right
supplementary angles
22. Original x (1 - x/100) = New
Percent Decrease Formula
Is zero
sum
higher terms
23. Total Earnings ($) = ?
Equal
Wage Rate ($ per hr) x Hrs worked
1
order of operations
24. The result of multiplying two or more 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
mixed fraction
product
parallelogram
25. An angle measuring more than zero degrees and less than 90 degrees
lowest terms
the same point on the number line
acute angle
lowest terms
26. 1 to any power is equal to
1
factoring
Being divided by a power of 10
Long Division
27. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
ordered pair
perimeter
mixed fraction
28. A number that when multiplied by itself results in the original number
product
octagon
quotient
square root
29. When are you allowed to divide by a variable - (or Any expression) ?
Non-Int
mixed number
When you are absolutely sure the variable or expression <> 0
product
30. The result of dividing one number by another; the solution to a division problem
right angle
quotient
range
one is positive and the other is negative
31. A self-evident statement - that is - one that does not need to be demonstrated.
y-axis
axiom
Wage Rate ($ per hr) x Hrs worked
quotient
32. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
sample
Decreases
The rule for adding negative integers is the same as the rule for adding positive integers:
mode
33. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Decreases
Wage Rate ($ per hr) x Hrs worked
Subtracting Signed Integers
34. Reversed position or direction
denominator
inverse
1
Positive-value integers
35. 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.
Long Division
squared
square root
pyramid
36. The ratio of a number to 100 (per one hundred); the symbol %
5/8
Different Units
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
percent
37. Method: convert Percent to Decimal?
Zero (0)
change the operation from subtraction to addition
diameter
Shift DP 2 places left
38. The Sum of n consecutive integers is divisible by n if n is
acute angle
y-coordinate
Odd
congruent
39. One of the four regions formed by the intersection of the axes of a coordinate graph
'five squared'
percent
quadrant
A minus sign ( - ) is used for two entirely different purposes:
40. Species are distinguished into
the denominator of the original improper fraction
Both
acute angle
Known (Given) and Unknown (Sought)
41. Anything that may be increased or diminished
median
Magnitude at Rest and Magnitude in Motion
improper fractions
Quantity
42. The horizontal number line of a coordinate graph
Fractions allow you to plot values between whole numbers and integers.
x-axis
62.5%
Change / Original Formula?
43. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
5/8
mode
angle
probability
44. Decreasing the Denominator of a fraction Increases/Decreases the value?
When to use fractions
Composite number
Even - Odd or Non-Int
Increases the value.
45. Area of a Rhombus is?
Axiom VI.
acute angle
A = (D1 x D2) / 2
reciprocal
46. An angle that measures 90 degrees
acute angle
Multitude
When to use fractions
right angle
47. 'y percent less than' = ?
1 - (y/100)
pi
supplementary angles
Power notation
48. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
roots of numbers
Step 2 of Converting mixed numbers to improper fractions
y-axis
To add integers that have opposite signs:
49. A fraction with a numerator that is larger than or equal to its denominator.
To add integers that have the same sign (both positive or both negative):
x-axis
improper fraction
x = (+-) a
50. Where do fractions occur on a number line?
2 and/or 5 only
Zero multiplied by any value
Fractions allow you to plot values between whole numbers and integers.
area