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Linear equation

Math A Guide

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Algebra
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Differential calculus
Data analysis
rates
Analytic geometry
equations
Normal distribution
Variance
Expected value
derivative
Linear equation
Trigonometric functions
Cumulative distribution function

A-Level Maths Revision notes 2015 1 Contents Coordinate Geometry ........................................................................................................................... 3 Trigonometry ......................................................................................................................................... 5 Basic Algebra ......................................................................................................................................... 8 Advanced Algebra ............................................................................................................................... 10

Calculus AB #2

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Calculus
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Mathematics
Mathematical analysis
Calculus
Elementary algebra
equations
Multivariable calculus
Linear equation
Function
Curve sketching
Ordinary differential equation
education

?3 ?2 ?1 1 2 3 4 16 ?12 ?8 ?4 4 8 12 Ws 1 ? review intercepts, linear equations, inequalities, symmetry, domain/range Calculus AB SHOW WORK IN YOUR NOTEBOOK. Find the x and y intercepts of each. 1. 1 4 2 y x= ? 2. 2 3 6x y? = 3. 3 24 4 15y x x x= + ? 4. 22 11 6y x x= + ? Name the domain and range of each. Write your answers in interval notation. 5. ( ) 1 3 f x x = ? 6. 3y x= + 7. 236y x= ? 8. ( ) 3xg x x += Linear equations 9. Find the equation of the line that passes through the points (2,-3) and (-3,-1) in standard form. 10. Find the equation of the line that passes through the points (-3,-3) and (5,0) in point slope form. 11. Find the equation of the line that passes through the points (2,-5) and (2,-6) in any form.

Calculus AB #1

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Calculus
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Mathematics
Analytic geometry
Elementary mathematics
geometry
Elementary algebra
equations
Linear equation
Slope
Y-intercept
Multivariable calculus
Second partial derivative test
law

?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?4 ?2 2 4 ?2 2 ?6 ?4 ?2 2 4 6 ?6 ?4 ?2 2 4 6 Ws zero ? review intercepts, linear equations Calculus AB SHOW WORK IN YOUR NOTEBOOK. Name the equation of the line from the graph below. 1. Find the slope. 2. ( ) ( )2,3 , 2, 5? ? 3. 7 3 5 1, , , 8 4 4 4 ? ? ? ??? ? ? ?? ? ? ? 4. ( ) ( )4,3 , 4, 1? ? ? Name three points on the line indicated. 5. 2 3y x= ? 6. 2 3 8x y? = Find the equation of the line that 7. passes thru the points (2,-3) and (-4, -6) in standard form. 8. passes thru the points (-1,3) and (5, 7) in standard form. 9. parallel to 2 3 8x y? = and thru (-2,-2) in point slope form. 10. perpendicular to 3 5 8x y? = and thru (-1,- 4) in standard form.

Relations and Functions Final Review

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Algebra
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equations
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Linear equation
Slope
line
Continuous function
Function
Bresenham's line algorithm

3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 t (Min) 1 2 3 4 5 6 d (km) 1 2 3 4 5?1?2?3?4?5 x 1 2 3 4 5 ?1 ?2 ?3 ?4 ?5 y Relations and Functions Practice Questions 1. The following distance-time graph represents the distance (in kilometres) a person bicycled during a 50-min period. Describe a possible scenario. 2. The table of values shows the cost of movie tickets at a local theatre. Number of Tickets Cost ($) 1 12 2 24 3 36 4 48 (a) Is this a linear or non-linear relationship? Explain how you know. (b) Assign a variable to represent each quantity in the relation. Which variable is the dependent variable and which is the independent variable?

Analytical Geometry Study Guide

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Trigonometry
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geometry
Algebraic geometry
Conic sections
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Hyperbola
Ellipse
Asymptote
Parabola
Polar coordinate system
Semi-major axis
Linear equation

Analytical Geometry Formulas and Equations: Midpoint Formula of P(x1, y1), P?(x2, y2): Distance Formula of P(x1, y1), P?(x2, y2): Slope-Intercept Form y = mx + b Point-Slope Form y2 - y1 = m(x2 - x1) General Form of a Line Ax + By + C = 0 Standard Form of a Line Ax + By = C *Slope of line is (?A/B) Slope of P(x1, y1), P?(x2, y2): *Slopes of parallel lines are equal *Slopes of perpendicular lines are opposite and reciprocal Directed Distance from line Ax+By+C=0 to point P(x1, y1) * The sign of the denominator is the same sign as ?B? in the line. *The directed distance will be positive if the point P is above the line, and negative if P is below the line. Directed Distance Between 2 Parallel Lines *The parallel lines are: Ax+By+C & Ax+By+C?

Algebra Practice Exam

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Algebra
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Elementary algebra
Mathematics
equations
Linear
Algebra
Linear equation
education
algebra practice exam

GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ SCORE:?____/14 Part?1:?Identifying?slopes?and?y?intercepts Identify?the?slope?and?y?intercept?of?the?given?linear?equations 1.?? [y 2 ?4 2. y ? [? 4 ?2 3.? 0[ 0y 1 ?2 4.? y 3 2 [ ?1 5.? y [ 6.?? ?y 8 9 ?7 Part?2:?Graphing?Linear?Equations Graph?the?following?linear?equations 7.? ? [y 2 ?3 Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 8. [y 2 1 ?4 9.?? ?y [ Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 10.?? ? [y 2 3 ?1 Part?3:?True?or?False Circle?the?letter?T?is?the?statement?is?True?and?circle?the?letter?F?is?the?statement?is

Graphing Linear Equations

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Algebra
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Elementary algebra
Elementary mathematics
Analytic geometry
Linear
Slope
Linear equation
education

GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ SCORE:?____/14 Part?1:?Identifying?slopes?and?y?intercepts Identify?the?slope?and?y?intercept?of?the?given?linear?equations 1.?? [y 2 ?4 2. y ? [? 4 ?2 3.? 0[ 0y 1 ?2 4.? y 3 2 [ ?1 5.? y [ 6.?? ?y 8 9 ?7 Part?2:?Graphing?Linear?Equations Graph?the?following?linear?equations 7.? ? [y 2 ?3 Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 8. [y 2 1 ?4 9.?? ?y [ Algebra?1?Honors GRAPHING?LINEAR?EQUATIONSName:____________________ Date:_________ 10.?? ? [y 2 3 ?1 Part?3:?True?or?False Circle?the?letter?T?is?the?statement?is?True?and?circle?the?letter?F?is?the?statement?is

Math Algebra

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Algebra
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Mathematics
Algebra
Elementary algebra
equations
Quadratic forms
Quadratic
polynomials
Linear equation
Matrix
Completing the square
Factorization
Differential equation
education

CALIFORNIA CONTENT STANDARDS: ALGEBRA I # of Items % Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. N/A N/A Algebra I 65 100% Standard Set 1.0 Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers, including closure properties for the four basic arithmetic operations where applicable: N/A 1.1 Students use properties of numbers to demonstrate whether assertions are true or false. 1/2**
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