Number and Quantity Formulas for the PRAXIS® Core Academic Skills for Educators Mathematics Test

The “PRAXIS Core Academic Skills for Educator: Mathematics” Test (5733) used to be a scary test, but not anymore. The math section underwent significant revision so that it now only tests skills that will actually be used by educators in the regular classroom. The Number and Quantity section remains to be the most important one, comprising approximately 36% of the whole exam. The following chart has the essential formulas you’ll need to ace this part of the test.

Also, look for our charts covering the other three types of math questions on the PRAXIS® Test:

Data Interpretation and Representation, Statistics, and Probability Formulas for the PRAXIS® Core Academic Skills Test

Algebra Formulas for the PRAXIS® Core Academic Skills Test

Geometry Formulas for the PRAXIS® Core Academic Skills Test

Number and Quantity Formulas

Category	Formula	Symbols	Comment
Number and Quantity	\(a+b=b+a\) \(a \cdot b = b \cdot a\)	a, b = any constant or variable	Commutative Property
Number and Quantity	\(a+(b+c)=(a+b)+c\) \(a \cdot (b \cdot c)=(a \cdot b) \cdot c\)	a, b, c = any constant or variable	Associative Property
Number and Quantity	\(a \cdot (b+c)=a \cdot b + a \cdot c\)	a, b, c = any constant or variable	Distributive Property
Number and Quantity	\(a+0=a\)	a = any constant or variable	Identity Property of Addition
Number and Quantity	\(a \cdot 1 = a\)	a = any constant or variable	Identity Property of Multiplication
Number and Quantity	\(\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{(a \cdot d)+(c \cdot b)}{(b \cdot d)}\)	a, b, c, d = any real number	Remember to simplify the fraction if possible.
Number and Quantity	\(\dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{a \cdot c)}{(b \cdot d)}\)	a, b, c, d = any real number	Remember to simplify the fraction if possible.
Number and Quantity	\(\dfrac{a}{b} \div \dfrac{c}{d}=\dfrac{a \cdot d)}{(b \cdot c)}\)	a, b, c, d = any real number	Remember to simplify the fraction if possible.
Number and Quantity	\(a\dfrac{b}{c}=\dfrac{(a \cdot c)+b}{c}\)	a, b, c = any real number	Remember to simplify the fraction if possible.
Number and Quantity	\(\%a = \frac{a}{b} \cdot 100\)	%a = percentage of a in b a, b = any real number	Remember to simplify the fraction if possible.
Number and Quantity	\(r=\dfrac{Q}{t}\)	r = rate Q = quantity t = time	Remember to simplify the friction if possible.