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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. Species and Number may be
Odd
ratio
parallel lines
Homogenous or Heterogenous
2. A parallelogram with four right angles
rectangle
farther to the right on the number line.
proportion
1
3. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
Unity - or a Unit
Axiom II.
0.625
4. What are the 3 main formulaic properties of evenly-spaced sets?
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
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
x-coordinate
circumference
5. What are the 2 'percent change' equations?
product
Original + Change = New Change/Original = Percent Change
Quantity
Arithmetic - Music - Geometry and Astronomy
6. Odd / Even = ? e.g. 9/6 = 1.5
Unknown quantities
they have the same absolute value
Non-Int
Converting Improper Fractions to Mixed Numbers
7. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
quotient
squared
factor
pyramid
8. A number is increased by 25%... what must you reduce the new number by to get the old number again?
least common multiple (LCM)
prime number
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Step 2 of Converting Improper Fractions to Mixed Numbers
9. A number that is not a prime number is called a
composite number
perimeter
scale drawing
x-coordinate
10. Rules that tell which steps to follow when solving an expression.
mode
order of operations
Adding negative integers will always produce a negative sum
mixed fraction
11. A polygon with five sides
pentagon
Inequality
Odd
Unit Price x Qty. Sold
12. The ratio of a number to 100 (per one hundred). The symbol %
factoring
percent
Carry the 10's digit of the product to the top of the 10's column of factors.
polygon
13. The number to be multiplied by is called the
To add integers that have opposite signs:
improper fractions
multiplier
integer values
14. A number with an exponent of 3 is often said to be
Unit Price x Qty. Sold
cubed
To add integers that have opposite signs:
5/8
15. Percent Decrease Formula ?
cubed
percent
Original x (1 - x/100) = New
order of operations
16. 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.
A sum of 2 primes is Odd
Long Division
cylinder
least common multiple (LCM)
17. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When numbers do not divide evenly
Odd
When the addends have opposite signs one is + and the other is -
Some integer/Some Power of 10
18. 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
obtuse angle
right angle
Always completed first
19. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
Change + - Original = New
Different Units
When to use fractions
20. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To add integers that have opposite signs:
To square an equation to solve it
0
( (Last - First) / Increment ) + 1
21. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
change the operation from subtraction to addition
When numbers do not divide evenly
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
square root
22. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Negative-value integers
Both
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
lowest terms
23. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
When the addends have the same sign both + or both -
When the addends have opposite signs one is + and the other is -
lowest terms
Magnitude
24. Adding integers that have opposite signs means
polygon
Evaluating Powers With Negative Exponents
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
one is positive and the other is negative
25. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Homogenous or Heterogenous
reduced fraction
Proof
Odd
26. The sum of a group of numbers divided by the number of numbers. Also known as the average.
difference
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
mean
simplify
27. Unit Profit = ?
area
greatest common factor (GCF)
Percent Decrease Formula
Sale Price - Unit Cost
28. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
ratio
lowercase letters
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
29. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
one is positive and the other is negative
Fractions allow you to plot values between whole numbers and integers.
Greater
Reducing by the Largest Common Factor (LCF)
30. Adding integers that have the same sign means
least common multiple (LCM)
roots of numbers
both integers are positive or both are negative
Non-Int
31. For there to be X unique factors of X - what must be true?
dividend
Every integer between 1 and X - inclusive - must be a factor of X
Absolute and Relative
x-coordinate
32. The result of the division called the
one is positive and the other is negative
quotient
reflection
the denominator of the original improper fraction
33. Two angles whose sum is 180 degrees
before solving
quadrilateral
supplementary angles
quotient
34. A quadrilateral with one pair of parallel sides
Alternative to the algebraic manipulation method to solving a VIC
trapezoid
Unit Cost + Markup
supplementary angles
35. TotalCost($) = ?
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on line
183
36. Cross-multiply
Even div. by 4
integer values
To find out - easily - if one fraction is bigger than another
order of operations
37. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Reducing fractions
octagon
Unity - or a Unit
when there are explicit or implicit equations in the problem:
38. The two kinds of Quantity are
Multitudes and Magnitudes
Axiom II.
equivalent
Species
39. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
x-coordinate
straight angle
composite number
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
40. The Only possible factors for a prime number are
Different Units
axiom
UnitPrice ($/unit) x Qty.Purchas'd (units)
1 and itself
41. 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
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
before solving
Parts
42. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Decimals/Percents
Change + - Original = New
change the operation from subtraction to addition
integer or whole number
43. When are you allowed to divide by a variable - (or Any expression) ?
numerator
whether the addends have the same sign or opposite signs
When you are absolutely sure the variable or expression <> 0
least common multiple (LCM)
44. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
exponent
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?
complementary angles
Positive-value integers
45. Rules that tell which steps to follow when solving an expression
square unit
order of operations
62.5%
range
46. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
mixed fraction
exactly the same portion
Magnitude
47. What are the only prime factors that a fraction resulting in a terminating decimals have?
ratio
2 and/or 5 only
proportion
Unknown quantities
48. A triangle with one right angle
proportion
mode
right triangle
radius
49. 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
Axiom II.
x-axis
The sum of all the integers from 20 to 100 - inclusive
50. Taken together - the multiplicand and multiplier are known as
A plus sign (+) is used for two entirely different purposes:
factors of the multiplication operation
Subtracting Signed Integers
vertex (vertices - plural)
Can you answer 50 questions in 15 minutes?
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