# SAT Test Prep Help & Practice

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##### 1Understanding Integers

##### 2Adding and Subtracting Integers

##### 3Multiplying and Dividing Integers

##### 4Number Theory

##### 5Adding and Subtracting Fractions

##### 6Multiplying and Dividing Fractions

##### 7Operation with Decimals

##### 8Fractions, Decimals, and Percents

##### 9Ratios, Rates, and Proportions

##### 10Introduction to Variables and Expressions

##### 11Solving Linear Equations

##### 12Linear Inequalities

##### 13Measuring Systems

##### 14Number System

##### 15Radicals

##### 16Exponents

- 16.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 16.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 16.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 16.4Exponents: Negative exponents
- 16.5Exponents: Zero exponent:
*a^0 = 1* - 16.6Exponents: Rational exponents
- 16.7Scientific notation
- 16.8Convert between radicals and rational exponents
- 16.9Solving for exponents
- 16.10Solving exponential equations using exponent rules

- 16.1Exponents: Product rule
##### 17Operations of Polynomials

##### 18Introduction to Relations and Functions

##### 19Linear Functions

- 19.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 19.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 19.3Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 19.4Slope intercept form: y = mx + b
- 19.5General form: Ax + By + C = 0
- 19.6Point-slope form: $y - y_1 = m (x - x_1)$
- 19.7Rate of change
- 19.8Graphing linear functions using table of values
- 19.9Graphing linear functions using x- and y-intercepts
- 19.10Graphing from slope-intercept form y=mx+b
- 19.11Graphing linear functions using a single point and slope
- 19.12Word problems of graphing linear functions
- 19.13Parallel and perpendicular lines in linear functions
- 19.14Applications of linear relations

- 19.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 20Systems of Equations

##### 21Factoring Polynomials

##### 22Quadratic Functions

- 22.1Introduction to quadratic functions
- 22.2Transformations of quadratic functions
- 22.3Quadratic function in general form:
*y = ax^2 + bx + c* - 22.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 22.5Completing the square
- 22.6Converting from general to vertex form by completing the square
- 22.7Shortcut: Vertex formula
- 22.8Graphing quadratic functions: General form VS. Vertex form
- 22.9Finding the quadratic functions for given parabolas
- 22.10Applications of quadratic functions

- 22.1Introduction to quadratic functions
##### 23Solving Quadratic Equations

##### 24Rational Expressions

- 24.1Simplifying rational expressions and restrictions
- 24.2Adding and subtracting rational expressions
- 24.3Multiplying rational expressions
- 24.4Dividing rational expressions
- 24.5Solving rational equations
- 24.6Applications of rational equations
- 24.7Simplifying complex fractions
- 24.8Partial fraction decomposition

- 24.1Simplifying rational expressions and restrictions
##### 25Function Notation

- 25.1Function notation
- 25.2Operations with functions
- 25.3Adding functions
- 25.4Subtracting functions
- 25.5Multiplying functions
- 25.6Dividing functions
- 25.7Composite functions
- 25.8Inequalities of combined functions
- 25.9Inverse functions
- 25.10One to one functions
- 25.11Difference quotient: applications of functions

- 25.1Function notation
##### 26Transformations of Functions

- 26.1Transformations of functions: Horizontal translations
- 26.2Transformations of functions: Vertical translations
- 26.3Reflection across the y-axis:
*y = f(-x)* - 26.4Reflection across the x-axis:
*y = -f(x)* - 26.5Transformations of functions: Horizontal stretches
- 26.6Transformations of functions: Vertical stretches
- 26.7Combining transformations of functions
- 26.8Even and odd functions

- 26.1Transformations of functions: Horizontal translations
##### 27Polynomial Functions

##### 28Direct and Inverse Variation

##### 29Trigonometry with Right Triangles

- 29.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 29.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 29.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 29.4Combination of SohCahToa questions
- 29.5Solving expressions using 45-45-90 special right triangles
- 29.6Solving expressions using 30-60-90 special right triangles
- 29.7Word problems relating ladder in trigonometry
- 29.8Word problems relating guy wire in trigonometry
- 29.9Other word problems relating angles in trigonometry

- 29.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 30Trigonometric Ratios and Angle Measure

- 30.1Standard angles
- 30.2Coterminal angles
- 30.3Reference angles
- 30.4Find the exact value of trigonometric ratios
- 30.5ASTC rule in trigonometry (All Students Take Calculus)
- 30.6Unit circle
- 30.7Converting between degrees and radians
- 30.8Trigonometric ratios of angles in radians
- 30.9Radian measure and arc length

- 30.1Standard angles
##### 31Law of Sines and Cosines

##### 32Imaginary and Complex Numbers

##### 33Angles, Lines, and Transversals

##### 34Circles

##### 35Surface Area and Volume

##### 36Statistics

##### 37Data and Graphs

##### 38Probability