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 = ac/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
, ALEKS Math Placement Test Fomulas
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
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 = ac/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
, ALEKS Math Placement Test Fomulas
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
