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:

• Formulas for Numbers and Operations on the ISEE Test

• Formulas for Geometry on the ISEE Test

• Formulas for Data Analysis, Probability, and Statistics on the ISEE Test

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	\(x+a=b \Rightarrow x=b-a\) \(x-a=b \Rightarrow x=b+a\) \(x \cdot a=b \Rightarrow x=b \div a\) \(x \div a=b \Rightarrow x=b \cdot a\) \(x^a=b \Rightarrow x = \sqrt[a]{b}\) \(\sqrt[a]{x}= b \Rightarrow x= b^a\) \(a^x=b \Rightarrow x=\frac{log\ b}{log\ a}\)	a, b = constants x = variable
General Algebra	\(x^a \cdot x^b = x^{a+b}\)	a, b, x = any real number
General Algebra	\(\frac{x^a}{x^b}=x^{a-b}\)	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	Slope-intercept 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 point-slope form.
Linear Equations	\(y-y_1 = m(x-x_1)\)	\((x_1,y_1)\) = point on the line m = slope y = independent variable x = dependent variable	Point-slope form
Quadratic Equations	\(f(x) = ax^2 + bx + c\)	a, b, c = constants c = y axis intercept x = variable	Standard form
Quadratic Equations	\(f(x) = a(x-h)^2 + k\)	a = constant h = constant (horizontal shift) k = constant (vertical shift) x = variable	Vertex form
Quadratic Equations	\(x= \frac{-b \pm \sqrt{b^2-4 \cdot a \cdot c}}{2 \cdot a}\)	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	\(a^2 - b^2 = (a-b) \cdot (a+b)\)	a, b = constants or variables	Difference of two squares
Cubic Equations	\(a^3 - b^3 = (a-b) \cdot (a^2+ab+b^2)\)	a, b = constants or variables	Difference of two cubes
Cubic Equations	\(a^3 + b^3 = (a+b) \cdot (a^2-ab+b^2)\)	a, b = constants or variables	Sum of two cubes