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ALEKS Math Placement Test Fomulas

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ALEKS Math Placement Test Fomulas

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  • August 23, 2024
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  • 2024/2025
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ALEKS Math Placement Test Fomulas
Place Value - -The value of a digit based on its position within a number

-Fractions - -A number expressed in the form a/b where a is a whole number
and b is a positive whole number.

-Adding and Subtracting with the same denominator - -a/b + c/b = a+c/b
OR a/b - c/b = a-c/b

-Adding and Subtracting with different denominators - -a/b + c/d =
ad+cb/bd OR a/b - c/d = ad-cb/bd

-Multiplying and dividing fractions - -a/b * c/d = a*c/b*d AND a/b / c/d =
a/b/c/d = ad/bc

-Equal To - -=

-Less Than - -<

-Greater Than - ->

-greater than or equal to - -≥

-less than or equal to - -≤

-Rounding - -Expressing a number to the nearest thousandth, hundredth,
tenth, one, ten, hundred, thousand, and so on as directed.

-Whole Number - -The numbers {0, 1, 2, 3, ...} etc.

There is no fractional or decimal part. And no negatives.

-Estimates - -Find a number close to the exact answer

-Decimals - -A fraction written in a special form. For example, instead of 1/2
you write 0.5

-Mixed numbers - -A number composed of a whole number and a fraction

-Factoring numbers - -To break it up into numbers that can be multiplied
together to get the original number

-Divisibility Rules - -That you are able to divide a number evenly

, -greatest common factor - -The largest factor that two or more numbers
have in common.

-least common multiple - -The smallest multiple (other than zero) that two
or more numbers have in common.

-Integers - -whole numbers and their opposites

-real numbers - -All numbers on the number line

-Order of operations - -PEMDAS

-Absolute Value - -The distance a number is from zero on a number line

-Ratios - -a comparison of two quantities using division

-Percentages - -percent/100 * whole

-Proportional ratios - -two ratios are equal
a/b = c/d OR a:b = c:d

-Percent of change - -new-old/old x 100

-markup - -selling price - cost

-Markup rate - -markup/cost

-discount - -price*discount

-selling price - -original price-discount

-variable - -letter that represents unspecified numbers

-tax - -tax rate * taxable amount

-distributive property - -a(b+c)=ab+ac

-Polynomial - -A monomial or the sum of monomials

-systems of equations - -two or more equations that work together

-equations - -the values of two mathematical expressions are equal

-functions - -a rule to go from one number to another number

-distance from a to b - -√(x2 − x1)^2 + (y2 − y1)^2

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