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Algebra 1 Final Exam
Unit 2 Notecard Ideas
Slope Intercept Form Point Slope Form 𝑦 = 𝑚𝑥 + 𝑏 𝑦 − 𝑦 1 = 𝑚(𝑥 − 𝑥 1 ) Parallel Line Perpendicular Line 𝑚 = 𝑎 𝑏 𝑚 = − 𝑏 𝑎 Horizontal Line Vertical Line 𝑦 = # 𝑥 = # Direct Variation Indirect Variation 𝑦 = 𝑘𝑥 𝑦^ =^
Explicit Formula Explicit Formula in Function Notation 𝑎𝑛 = 𝑎 1 + 𝑑(𝑛 − 1 ) 𝑓(𝑛) = 𝑓( 1 ) + 𝑑(𝑛 − 1 ) Recursive Formula Recursive Formula in Function Notation 𝑎𝑛 = 𝑎(𝑛− 1 ) + 𝑑 𝑓(𝑛) = 𝑓(𝑛 − 1 ) + 𝑑 Slope Formulas 𝑚 = 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛
𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥
Δ𝑦 Δ𝑥
𝑦 2 −𝑦 1 𝑥 2 −𝑥 1 Standard Form 𝐴𝑥 + 𝐵𝑦 = 𝐶
Unit 3 Notecard Ideas
Steps to Solve Systems of Equations by Graphing
- Make sure equations are in slope-intercept form (y=mx+b) you might have to solve for “y”
- For one equation, plot y-intercept “b” and another point following the give slope “m”
- Do the same for the second equation Steps to Solve Systems of Equations by Substitution
- Look for “x” or “y” that is alone. If not alone, solve for one variable
- Plug expression into other equation
- Solve that equation
- Plug answer into one of the original equations and solve
- Write answers as an ordered pair (x,y) *True statement = IMS *False statement = No Solution Steps to Solve Systems of Equations by Elimination
- Make sure like terms are lined up vertically (“x” and “y” are constant)
- Look for a variable that will cancel *Cancel a variable by using the same number with the “x” or “y” and one has to be positive and one has to be negative
- If not, find LCM and multiply one equation by a number so one variable is eliminated. *Make sure to multiple everything by the the outside number
- Add equations
- Solve for variable
- Plug answer into one of the original equations and solve
- Write as an ordered pair (x,y)
