Formula Chart for STAAR® High School Algebra I Test

The big day is coming and you have almost finished high school. But there’s still one milestone ahead! If you go to school in the state of Texas, the STAAR® Test lies ahead, and you’ll need to do well to graduate from high school. One of the seemingly toughest parts is the STAAR® High School Algebra I Test, but we are here to help you!

If you prepare well for the test, there’s no need to worry at all. You have previously learned all the content tested on the exam. It’s just a matter of going over it to refresh your memory. To do that, review our free study guide for the STAAR® High School Algebra I Test. Then, solve the free practice questions we’ve prepared for you, using the following formula chart. This is exactly the same as the chart you’ll have during your test.

Factoring

Formula	Symbols	Comments
\(a^2+2ab+b^2 = (a+b)^2\)	a,b,c,d = any constant or variable	Perfect square trinomial
\(a^2-2ab+b^2 = (a-b)^2\)	a,b,c,d = any constant or variable	Perfect square trinomial

Exponent Properties

Formula	Symbols	Comments
\(a^m\cdot a^n = a^{(m+n)}\)	a, m, n = any constant or variable	Product of powers
\(\dfrac{a^m}{a^n} = a^{(m-n)}\)	a, m, n = any constant or variable	Quotient of powers
\((a^m)^n = a^{m \cdot n}\)	a, m, n = any constant or variable	Power of a power
\(a^{\frac{m}{n}} = \sqrt[n]{a^m}\)	a, m, n = any constant or variable	Rational exponents
\(a^{-n} = \frac{1}{a^n}\)	a, m, n = any constant or variable	Negative exponent

Linear Equations

Formula	Symbols	Comments
\(Ax+By=C\)	y = independent variable x = dependent variable	Standard Form
\(y= mx+b\)	m = slope b = y-intercept y = independent variable x = dependent variable	Slope-intercept form
\(y - y_1 = m (x-x_1)\)	m = slope yn = independent variable (point n) xn = dependent variable (point n)	Point-slope form
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)	m = slope yn = independent variable (point n) xn = dependent variable (point n)	Slope of a line

Quadratic Equations

Formula	Symbols	Comments
\(f(x) = ax^2+bx+c\)	a,b = constants c = constant (y-intercept) x = variable/input	Standard form
\(f(x) = a(x-h)^2+k\)	a = constant h = constant (horiz. shift) k = constant (vert. shift) x= variable/input	Vertex form
\(x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)	a,b = constants c = constant (y-intercept) x = x-intercept	Quadratic formula
\(x = \dfrac{-b}{2a}\)	a,b = constants x = axis of symmetry	Axis of symmetry

We also have other free resources to help you prepare for this test, such as: Free Flashcards for the STAAR® Algebra I Test. And if you need help preparing for other STAAR® tests, check this out: Free Practice Materials for the STAAR® Tests.