1) Isolate variable on one side of the equation

2) Move all constants over to the other side of the equation

4) If there is a constant in front of the variable, divide each side of the equation by this constant to remove it

Elimination Method - The goal is to remove one variable by subtracting one equation from the other

ax + by = c

dx + ey = f

We need to find a number (n) to multiply top and bottom equations by such that na = nd

Substitution Method - Substitute one equation into the other

Rearrange Equation dx + ey = f, we get

x = | f - ey |

d |

We then substitute that into Equation 1 where we see the variable x

Cramers Rule - Learn the 3 shortcut equations

Δ = a * e - b * d

Variable 1 Numerator = c * e - b * f

Variable 2 Numerator = a * f - c * d

Variable 1 = | Variable 1 Numerator |

Δ |

Variable 2 = | Variable 2 Numerator |

Δ |

Given 2 points (x

m = | y_{2} - y_{1} |

x_{2} - x_{1} |

The line equation is y = mx + b

* 2 lines are

* 2 lines are

* 2 lines are just

(a + b)(c + d) is expanded using

ac + ad + bc + bd

ax

When a = 1, you solve these by finding two numbers that x and y such that x + y = b and xy = c

a

Take the c

27

i = √-1

i

i

i

They key is to find the maximum power you can of 4 since i

ax

Sum of Cubes: a

Difference of Cubes: a

If there is not a shortcut formula, you first factor any constants that you can. Next, you go through each variable in the expression. If

x^{2} + 6x + 8 | |

x^{2} + 9x + 20 |

Factor the top and bottom to get this answer