# Official: Math 2 Midterm

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## Official: Math 2 Midterm

We are all studying for math, possibly harder than any other subject , so I would like to start off by posting my summaries for Chapters 2, 3, 4, , compiled through the tests, quizzes, and the book. This should in no way be your only study guide though, because I might have missed something.

Simplifying without negative exponents

Simplifying exponents to a single value

Factoring (pulling out variables)

Corss multiplication – Proportions

Extraneous solutions

Graph Equation

Cubix (double, triple zeroes)

Standard form (yes or no)

Solving quadratics with:

• Algebra

• Quadratic formula

• Factoring

Shapes, Statements ex: square is always a rectangle

Congruent, similar shapes

Transforming/ translating

Midpoint/ Distance

Standard position of shapes, finding missing coordinates

Diagonals: Perpendicular, midpoint, congruent etcetera.

Proving shapes are shapes ex: prove this shape is a rectangle

Conjunctions/ Disjunctions – match to their graphs

Venn diagrams

If-then statements – Counter examples – converses

Premises, P=Q situations

Biconditionals

Different angles ex: Cointerior, Supplementary, vertical

Transversals and variables

Coordinate proofs ex: show that the following points (variables) make a square

Paragraph proofs with transversals

Proving triangles are congruent

Theorems:

Reflexive property

Vertical angle theorem

ASA SAS SSS AAS

Alternate Interior angle theorem

Corresponding angle theorem

Remote angle theorem

Vertical angle theorem

CPCTE (Corresponding Parts of Congruent Triangles are Equal)

Exterior angle theorem

Supplementary, Substitution

Similar triangles, Geometric mean

Sine, Cosine, Tangent

**Chapter 2:**- Finding the equation of a line when given certain information
- Domain/Range
- Different types of Variation (direct/inverse variation, direct with the square, cube..)
- Constant Graph, Decay Graph, others.
- Doubling
- Sphere measurements (volume/SA eqns) and Ratios
- Radical/Fractional form<li>Writing equations using story problems, then solving them

**Chapter 3:**- Solving equations using: Graphing, Elimination, Substitution, Matrices
- Using slope to find perpendicular/parallel graphs
- Review Matrices!!! Multiplication, addition, subtraction, inverses, how to do it on a calculator.<li>Using matrices to transform shapes.

**Chapter 4**- Graphing parabolas
- Max, Min, Line of symmetry, Y intercept and vertex (of parabolas)
- Translating Parabolas Up, Down, Sideways.
- Solving Parabolas using square roots, factoring
- Using the Quadratic Formula to solve parabolas
- Solving for and using the discriminant
*i*(Imaginary numbers)<li>

**Chapter 9**Simplifying without negative exponents

Simplifying exponents to a single value

Factoring (pulling out variables)

Corss multiplication – Proportions

Extraneous solutions

Graph Equation

Cubix (double, triple zeroes)

Standard form (yes or no)

Solving quadratics with:

• Algebra

• Quadratic formula

• Factoring

**Chapter 5**Shapes, Statements ex: square is always a rectangle

Congruent, similar shapes

Transforming/ translating

Midpoint/ Distance

Standard position of shapes, finding missing coordinates

Diagonals: Perpendicular, midpoint, congruent etcetera.

Proving shapes are shapes ex: prove this shape is a rectangle

**Chapter 7**Conjunctions/ Disjunctions – match to their graphs

Venn diagrams

If-then statements – Counter examples – converses

Premises, P=Q situations

Biconditionals

Different angles ex: Cointerior, Supplementary, vertical

Transversals and variables

**Chapter 8**Coordinate proofs ex: show that the following points (variables) make a square

Paragraph proofs with transversals

Proving triangles are congruent

Theorems:

Reflexive property

Vertical angle theorem

ASA SAS SSS AAS

Alternate Interior angle theorem

Corresponding angle theorem

Remote angle theorem

Vertical angle theorem

CPCTE (Corresponding Parts of Congruent Triangles are Equal)

Exterior angle theorem

Supplementary, Substitution

Similar triangles, Geometric mean

Sine, Cosine, Tangent

Last edited by abtara on Sat Jun 12, 2010 9:40 pm; edited 4 times in total

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