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2 nd Semester Final Exam Review – IA2. Addition method Substitution method Pythagorean Theorem Foil/Box Vertex Simplify radical Factor GCF Factor diff of sq. Solve by factoring Add/sub matrices Solve for variable in matrices Multiplying matrices Matrix operations Distributive prop
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2nd Semester Final Exam Review – IA2 • Addition method • Substitution method • Pythagorean Theorem • Foil/Box • Vertex • Simplify radical • Factor • GCF • Factor diff of sq. • Solve by factoring • Add/sub matrices • Solve for variable in matrices • Multiplying matrices • Matrix operations • Distributive prop • Parabola max/min • Pos or Neg slope • Identify a quadratic • Put in standard quadratic form • Solving a quadratic • Using quad formula • Mean, median, mode • Probability
Addition Method (Systems 3.2) 1. • Must have opposites • Add equations together to eliminate a variable • Solve • Use substitution to find other variable
Substitution Method (Systems 3.2) 5. • Solve one equation for x or y. • Substitute into other equation and solve • Use substitution again to find other variable.
Pythagorean Theorem 7. One leg of a right triangle is 40. The hypotenuse is 41. Find the length of the other leg.
Expand/Foil/Box • (7x – 2)2 11. (2x – 1)(4x + 7)
Vertex (to find x =- ) • y = x2 + 5x + 3 • Identify a, b & c • Use formula to find x • Then plug x into equation to find y.
Parabola Max or Min Min (lowest point) a is positive Max (highest point) a is negative 42. F(x) = 8 + 3x – 5x2 41. F(x) = 2x2 – 4x – 5
Matrices (4.1) 34. add or subtract items in the same location!!