# 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 y _{n} = independent variable (point n) x _{n} = dependent variable (point n) |
Point-slope form |

\(m = \dfrac{y_2-y_1}{x_2-x_1}\) | m = slope y _{n} = independent variable (point n) x _{n} = 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.

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