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equations

Calculus AB #1

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?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.

Bob Jones PPT Notes -- Chapter 8c

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Writing Equations Chemical Equations Math equations show equalities. Chemical equations show processes (one chemical changes to another chemical). A Chemical Equation Must: Identify all the substances involved. Show the composition of the substances (use formulas). A Chemical Equation Must: Account for all the atoms. (There must be the same number of atoms of every element on both sides of the equation.) Parts of an Equation Reactants Products Coefficients Arrow Example reactants Ca(HCO3)2 + Ca(OH)2 2 H2O + 2 CaCO3 products The ?2? is a coefficient to tell how many molecules of each compound are present. What tells you how many atoms of an element are in a molecule? Symbol Subscript Coefficient Catalyst Question 7 Special Symbols in Equations g?: A gas was produced.

FORMULAS AND FUNCTIONS/RADICAL EXP AND EQUATION/ QUAD EQU, FUNCTION& INEQU

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MATH EXAM 1 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM

Relations and Functions Final Review

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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?

Formula

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| COMMON?MATH?FORMULAS? AREA(A) Square Rectangle Parallelogram Triangle Circle Trapezoid Sphere ? ? ??; ? ? ??; ? ? ??; ? ? 1/2??; ? ? ???; ?? ? ?1/2???1? ? ??2???; ? ? 4??? where s = any side of the square where l = length and w = width where b = base and h = height where b = base and h = height where ?= 3.14 and r = radius where s= Surface area SURFACE AREA (SA)of a: cube SA = 6?? where s = any side cylinder (lateral) ?? ? 2???; where ?=3.14, r = radius, and h = height PERIMETER (P) of a Square ? ? 4?; where s = any side Rectangle ? ? 2? ? 2?; where l = length and w = width Triangle ? ? ?1 ? ?2 ? ?3; where s = a side

Algebra Practice Exam

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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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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**

Macroeconomics Equations

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Formulas for Macroeconomics GDP = C+Ig+G+Xn NDP = GDP ? consumption of fixed capital = GDP - depreciation NI = NDP ? Net foreign factor income earned ? indirect business taxes PI = NI ? SS Contributions ? corporate income taxes ? undist. corporate profit + transfer payments DI = PI ? personal taxes = consumption + savings Price Index Nominal GDP/real GDP Inflation rate (Index 2 ? Index 1)/Index 1 Real GDP Nominal GDP/Price Index Unemployment Rate (Unemployed/Labor force)*100 Okun?s Law For every 1% point actual unemployment rate exceeds natural rate, GDP gap of 2% occurs. Real Income Nominal income/Price index APC Consumption/income APS Saving/income MPC Change in consumption/change in income MPS Change in saving/change in income

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