Algebra Formulas You Need to Know for the HiSET® Math Test
You will be given some formulas during the HiSET® Math Test, but those formulas are not going to be all the formulas you’ll need. But don’t worry—we have you covered. The following chart shows the algebra formulas you need to know, but won’t be given, during the test—compiled for you by the Union Test Prep team.
We also have two other charts of formulas that are not given to you during the test and a preview of the chart of formulas you will be given during the HiSET Math Test session.
Geometry Formulas You Need to Know for the HiSET® Math Test
Formulas You Will Be Given for the HiSET® Math Test
Statistics and Probability Formulas You Need to Know for the HiSET® Math Test
Algebra Formulas for the HiSET® Math Test
Category  Formula  Symbols  Comment 

General Algebra 
\(x+a=b \Rightarrow x=ba\) \(xa=b \Rightarrow x=b+a\) \(x \cdot a=b \Rightarrow x=b \div a\) \(x \div a=b \Rightarrow x=b \cdot a\) \(x^a=b \Rightarrow x = \sqrt[a]{b}\) \(\sqrt[a]{x}= b \Rightarrow x= b^a\) \(a^x=b \Rightarrow x=\frac{log\ b}{log\ a}\) 
a, b = constants x = variable 

General Algebra 
\(x^a \cdot x^b = x^{a+b}\)  a, b, x = any real number  
General Algebra 
\(\frac{x^a}{x^b}=x^{ab}\)  a, b, x = any real number  
General Algebra 
\((x^a)^b = x^{a \cdot b}\)  a, b, x = any real number  
General Algebra 
\((x \cdot y)^a = x^a \cdot y^a\)  a, b, x = any real number  
General Algebra 
\(x^1 = x\)  x = any real number  
General Algebra 
\(x^0 = 1\)  x = any real number  
General Algebra 
\(x^{a} = \frac {1}{x^a}\)  a, x = any real number  
General Algebra 
\(x^{\frac {a}{b}} = \sqrt[b]{x^a} = (\sqrt[b]{x})^a\)  a, b, x = any real number  
Linear Equations 
\(A \cdot x + B \cdot y = C\)  A, B, C = any real number y = dependent variable x = independent variable 
Standard form 
Linear Equations 
\(y = m \cdot x + b\)  y = dependent variable m = slope x = independent variable b = y axis intercept 
Slopeintercept form Try to convert any linear equation to this form. 
Linear Equations 
\(m = \frac{(y_2  y_1)}{(x_2  x_1)}\)  m = slope \(y_n\) = independent variable (point n) \(x_n\) = dependent variable (point n) 
This is a rearrangement of the pointslope form. 
Linear Equations 
\(yy_1 = m(xx_1)\)  \((x_1,y_1)\) = point on the line m = slope y = independent variable x = dependent variable 
Pointslope form 
Quadratic Equations 
\(x= \frac{b \pm \sqrt{b^24 \cdot a \cdot c}}{2 \cdot a}\)  a, b, c = constants c = y axis intercept x = variable 
Standard form 
Quadratic Equations 
\((a \pm b)^2 = a^2 \pm 2 \cdot a \cdot b + b^2\)  a, b = constants or variables  Square of a sum or difference 
Quadratic Equations 
\(a^2  b^2 = (ab) \cdot (a+b)\)  a, b = constants or variables  Difference of two squares 
Cubic Equations 
\(a^3  b^3 = (ab) \cdot (a^2+ab+b^2)\)  a, b = constants or variables  Difference of two cubes 
Cubic Equations 
\(a^3 + b^3 = (a+b) \cdot (a^2ab+b^2)\)  a, b = constants or variables  Sum of two cubes 
Sequences  \(a_n = a_{n1} + d\)  \(a_n = n^{th}\) term of arithmetic sequence \(a_{n1} = (n1)^{th}\) term of arithmetic sequence \(d\) = common difference 

Sequences  \(a_n = a_{n1} \cdot r\)  \(a_n = n^{th}\) term of geometric sequence \(a_{n1} = (n1)^{th}\) term of geometric sequence \(r\) = common ratio 
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