Important Algebra Formulas to Know for the ISEE Math Tests
Is it easy to remember everything you’ve learned in school? Of course not! The two math tests on the ISEE Quantitative Reasoning and Mathematics Achievement will put your math knowledge to the test. Don’t worry if you don’t recall everything. Union Test Prep has you covered. We have formula charts for all four math areas assessed by the ISEE Math tests.
The Algebra chart is below and you can find the others at these links:
For more information, feel free to check out our FREE study guides, practice questions, and flashcards.
Algebra Formulas for the ISEE Math Tests
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  
General Algebra 
\(\frac{x}{\sqrt{y}} \cdot \frac {\sqrt{y}}{\sqrt{y}} = \frac{x \sqrt{y}}{y}\)  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 
\(f(x) = ax^2 + bx + c\)  a, b, c = constants c = y axis intercept x = variable 
Standard form 
Quadratic Equations 
\(f(x) = a(xh)^2 + k\)  a = constant h = constant (horizontal shift) k = constant (vertical shift) x = variable 
Vertex 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 (x intercept) 
Quadratic formula 
Quadratic Equations 
\(x= \frac{b}{2a}\)  a, b = constants x = axis of symmetry 
Axis of symmetry 
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 
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