ALEKS Math Placement Test Formulae
Questions and Answers
Place Value - ANSWER-The value of a digit based on its position within a number
Fractions - ANSWER-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 - ANSWER-a/b + c/b = a+c/b OR
a/b - c/b = a-c/b
Adding and Subtracting with different denominators - ANSWER-a/b + c/d = ad+cb/bd
OR a/b - c/d = ad-cb/bd
Multiplying and dividing fractions - ANSWER-a/b * c/d = a*c/b*d AND a/b / c/d = a/b/c/d
= ad/bc
Equal To - ANSWER-=
Less Than - ANSWER-<
Greater Than - ANSWER->
greater than or equal to - ANSWER-≥
less than or equal to - ANSWER-≤
Rounding - ANSWER-Expressing a number to the nearest thousandth, hundredth,
tenth, one, ten, hundred, thousand, and so on as directed.
Whole Number - ANSWER-The numbers {0, 1, 2, 3, ...} etc.
There is no fractional or decimal part. And no negatives.
Estimates - ANSWER-Find a number close to the exact answer
Decimals - ANSWER-A fraction written in a special form. For example, instead of 1/2
you write 0.5
Mixed numbers - ANSWER-A number composed of a whole number and a fraction
, Factoring numbers - ANSWER-To break it up into numbers that can be multiplied
together to get the original number
Divisibility Rules - ANSWER-That you are able to divide a number evenly
Volume of a pyramid - ANSWER-1/3Bh
Surface Area of a Pyramid - ANSWER-1/2Pl+B
Surface Area of a Cone - ANSWER-πrl+πr²
Volume of a cone - ANSWER-1/3πr²h
Surface area of a sphere - ANSWER-4πr²
Volume of a sphere - ANSWER-4/3πr³
Quadratic Formula - ANSWER-x = -b ± √(b² - 4ac)/2a
simple interest - ANSWER-I=prt
mean - ANSWER-sum of the data/number of data entries
mode - ANSWER-The value that appears most frequently in a set of data
range - ANSWER-largest value - smallest value
median - ANSWER-the middle value in a list of numbers
average - ANSWER-sum of terms/number of terms
average speed - ANSWER-total distance divided by total time
probability - ANSWER-number of desired outcomes / number of total outcomes
two different events both happening - ANSWER-P(A and B) = p(A) * p(B)
x^a*x^b - ANSWER-x^a+b
x^a/x^b - ANSWER-x^a-b
1/x^b - ANSWER-x^-b
(x^a)^b - ANSWER-x^ab
Questions and Answers
Place Value - ANSWER-The value of a digit based on its position within a number
Fractions - ANSWER-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 - ANSWER-a/b + c/b = a+c/b OR
a/b - c/b = a-c/b
Adding and Subtracting with different denominators - ANSWER-a/b + c/d = ad+cb/bd
OR a/b - c/d = ad-cb/bd
Multiplying and dividing fractions - ANSWER-a/b * c/d = a*c/b*d AND a/b / c/d = a/b/c/d
= ad/bc
Equal To - ANSWER-=
Less Than - ANSWER-<
Greater Than - ANSWER->
greater than or equal to - ANSWER-≥
less than or equal to - ANSWER-≤
Rounding - ANSWER-Expressing a number to the nearest thousandth, hundredth,
tenth, one, ten, hundred, thousand, and so on as directed.
Whole Number - ANSWER-The numbers {0, 1, 2, 3, ...} etc.
There is no fractional or decimal part. And no negatives.
Estimates - ANSWER-Find a number close to the exact answer
Decimals - ANSWER-A fraction written in a special form. For example, instead of 1/2
you write 0.5
Mixed numbers - ANSWER-A number composed of a whole number and a fraction
, Factoring numbers - ANSWER-To break it up into numbers that can be multiplied
together to get the original number
Divisibility Rules - ANSWER-That you are able to divide a number evenly
Volume of a pyramid - ANSWER-1/3Bh
Surface Area of a Pyramid - ANSWER-1/2Pl+B
Surface Area of a Cone - ANSWER-πrl+πr²
Volume of a cone - ANSWER-1/3πr²h
Surface area of a sphere - ANSWER-4πr²
Volume of a sphere - ANSWER-4/3πr³
Quadratic Formula - ANSWER-x = -b ± √(b² - 4ac)/2a
simple interest - ANSWER-I=prt
mean - ANSWER-sum of the data/number of data entries
mode - ANSWER-The value that appears most frequently in a set of data
range - ANSWER-largest value - smallest value
median - ANSWER-the middle value in a list of numbers
average - ANSWER-sum of terms/number of terms
average speed - ANSWER-total distance divided by total time
probability - ANSWER-number of desired outcomes / number of total outcomes
two different events both happening - ANSWER-P(A and B) = p(A) * p(B)
x^a*x^b - ANSWER-x^a+b
x^a/x^b - ANSWER-x^a-b
1/x^b - ANSWER-x^-b
(x^a)^b - ANSWER-x^ab
