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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.
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?
percent
Equality
1
2. A mirror image of a figure shown over a line of reflection
Sale Price - Unit Cost
range
Odd or Non-Int
reflection
3. The number being multiplied is called the
lowest terms
y-coordinate
factors of the multiplication operation
multiplicand
4. By the first letters of the alphabet (a - b - c - d - etc..)
area
obtuse angle
Unknown quantities
Negative-value integers
5. By the last letters (u - x - y - etc.)
before solving
Known quantities
mixed fraction
Axiom VIII.
6. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Always completed first
Number
ratio
Number Systems
7. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
putting that number over 1
Axiom IV.
Magnitude
8. The number being divided is called the
before solving
Equal
dividend
A = (D1 x D2) / 2
9. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
A sum of 2 primes is Odd
To square an equation to solve it
Even
vertex (vertices - plural)
10. Adding integers that have opposite signs means
Multitudes and Magnitudes
squared
Wage Rate ($ per hr) x Hrs worked
one is positive and the other is negative
11. A combination of numbers and variables connected by one or more operations signs
Step 2 of Converting mixed numbers to improper fractions
Composite number
expression
Any value multiplied by one
12. The vertical number line of a coordinate graph
y-axis
Aliquot and Aliquant Parts
The concept of trading decimal places and how it works
1
13. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Alternative to the algebraic manipulation method to solving a VIC
When the addends have opposite signs one is + and the other is -
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
supplementary angles
14. Unit Profit = ?
y-axis
Sale Price - Unit Cost
Aliquot Part
1 and itself
15. A triangle with one right angle
always clear the innermost groups first
right triangle
Inequality
Odd
16. The sum of a group of numbers divided by the number of numbers; also known as the average
diameter
mean
integer or whole number
The Ratio of Any two of the following: Original - Change and New
17. If 2 numbers are OPPOSITES of each other
dividend
vertex (vertices - plural)
integer or whole number
they have the same absolute value
18. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Step 1 of Converting Improper Fractions to Mixed Numbers
unit ratio
'five squared'
integer or whole number
19. 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
mean
mixed fractions
vertex (vertices - plural)
20. Is equal to zero. 0 x a = 0
median
from left to right
Zero multiplied by any value
Unit Price x Qty. Sold
21. The whole-number part of the mixed number is the whole-number part of the
like fractions
pyramid
square unit
quotient
22. A polygon with five sides
product
A = (D1 x D2) / 2
square unit
pentagon
23. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
factors of the multiplication operation
unit ratio
like fractions
24. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Shift DP 2 places left
Step 1 of Converting Improper Fractions to Mixed Numbers
Quantity is expressed
Whole Numbers
25. Quantities which are both equal to one and the same third are equal to one another.
straight angle
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
order of operations
Axiom III.
26. A polygon with six sides.
diameter
hexagon
y-coordinate
Axiom X.
27. Sale Price = ?
Magnitude
Unit Cost + Markup
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
hexagon
28. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
perimeter
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
exponent
29. Where do fractions occur on a number line?
Sale Price - Unit Cost
unit ratio
radius
Fractions allow you to plot values between whole numbers and integers.
30. 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
Greater
multiplier
To add integers that have the same sign both positive or both negative:
When to use the Heavy Division Shortcut - and how to do it
31. The horizontal number line of a coordinate graph
62.5%
unit ratio
similar figures
x-axis
32. In a group of values - the value that occurs most often
mode
farther to the right on the number line.
Unit Price x Qty. Sold
Multitude
33. A value such as 5^2 can be called
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34. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
A = (Base x Height) / 2 - A = (BH)/2
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Step 2 of Converting Improper Fractions to Mixed Numbers
Negative-value integers
35. What is the formula forCounting consecutive multiples?
prime number
( (Last - First) / Increment ) + 1
Known (Given) and Unknown (Sought)
reciprocal
36. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
The bottom side of the triangle
When to use the Heavy Division Shortcut - and how to do it
prime number
37. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
The height of a triangle
ratio
Shift DP 2 places left
Whole Numbers
38. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
unit ratio
Odd
Zero (0)
median
39. A number that tells how many times the base is multiplied by itself
dividend
exponent
Carry the 10's digit of the product to the top of the 10's column of factors.
mixed number
40. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
mean
Adding negative integers will always produce a negative sum
simplify
x = (+-) a
41. TotalCost($) = ?
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42. A triangle with two equal sides and two equal angles
UnitPrice ($/unit) x Qty.Purchas'd (units)
Odd
range
isosceles triangle
43. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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44. An angle measuing more than 0 degrees and less than 90 degrees
1
Inserting a zero at the left end of a whole number
acute angle
factors of the multiplication operation
45. Factors may be multiplied in any order.
Alternative to the algebraic manipulation method to solving a VIC
Line Segments
commutative law of multiplication
quotient
46. In a division problem - the number that an amount is divided by
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
divisor
common denominator
Positive-value integers
47. Two numbers are said to be equal (=) when they are at
y-coordinate
the same point on the number line
exponent
Parts
48. The vertical number line of a coordinate graph
mixed number
y-axis
Revenue ($) - Cost ($)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
49. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Wage Rate ($ per hr) x Hrs worked
Positive-value integers
x-axis
Even
50. The number to be multiplied by is called the
equal to itself.
multiplier
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
'six cubed'