Algebra and Function Formulas for the TSIA2
Have you ever wondered if you have “what it takes” to succeed at math in college? Well, the TSIA2 is designed to help you answer that question! However, there is an issue. Sometimes the question is not whether or not you have the calculating skills, but if you remember the specific equations needed to solve the problems. That’s where Union Test Prep comes to the rescue! In the following chart, you will find the essential Algebra and Function Formulas you should know if you want to ace the TSIA2.
You’ll also want to check out our other two math formula charts for this test:
Formulas for Geometry and Measurement
Formulas for Data Analysis, Statistics, and Probability
And to practice using these formulas and others, check out all of our free TSIA2 test prep.
Algebra and Function Formulas
Category  Formula  Symbols  Comment 

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

Equations and Expressions 
\(x^a \cdot x^b = x^{a+b}\)  a, b, x = any real number  
Equations and Expressions 
\(\frac{x^a}{x^b}=x^{ab}\)  a, b, x = any real number  
Equations and Expressions 
\((x^a)^b = x^{a \cdot b}\)  a, b, x = any real number  
Equations and Expressions 
\((x \cdot y)^a = x^a \cdot y^a\)  a, b, x = any real number  
Equations and Expressions 
\(x^1 = x\)  x = any real number  
Equations and Expressions 
\(x^0 = 1\)  x = any real number  
Equations and Expressions 
\(x^{a} = \frac {1}{x^a}\)  a, x = any real number  
Equations and Expressions 
\(x^{\frac {a}{b}} = \sqrt[b]{x^a} = (\sqrt[b]{x})^a\)  a, b, x = any real number  
Equations and Expressions 
\(\frac{x}{\sqrt{y}} \cdot \frac {\sqrt{y}}{\sqrt{y}} = \frac{x \sqrt{y}}{y}\)  x, y = 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 
Quadratic Formula for equation in the form \(ax^2+bx+C=0\) 
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