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equations

Practic problems

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NAME _____________________________________________ DATE _____________________________ PERIOD _____________ Chapter 4 14 Glencoe Algebra 2 4-2 Practice Solving Quadratic Equations By Graphing Use the related graph of each equation to determine its solutions. 1. ?3?2 + 3 = 0 2. 3?2 + ? + 3 = 0 3. ?2 ? 3? + 2 = 0 Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located. 4. ?2?2 ? 6? + 5 = 0 5. ?2 + 10? + 24 = 0 6. 2?2 ? ? ? 6 = 0 7. ??2 + ? + 6 = 0 8. ??2 + 5? ? 8 = 0 9. GRAVITY Use the formula h(t) = ?0? ? 16? 2, where h(t) is the height of an object in feet, ?0 is the object?s initial

Practice worksheet

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NAME DATE PERIOD NAME DATE PERIOD NAME DATE PERIOD 4-2 Practice Solving Quadratic Equations By Graphing Use the related graph of each equation to determine its solutions. 1. 2. 3. Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located. 4. 5. 6. 7. 8. 9. GRAVITY Use the formula h(t) = , where h(t) is the height of an object in feet, is the object?s initial velocity in feet per second, and t is the time in seconds. a. Marta throws a baseball with an initial upward velocity of 60 feet per second. Ignoring Marta?s height, how long after she releases the ball will it hit the ground?

Double Replacement Products - Notes

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Notes - Double Replacement Products TERMS Soluble - substances that can be dissolved in water. Insoluble - substances that cannot be dissolved in water. Precipitate - a substance that falls out of solution when it is one of the products of a reaction. Precipitates are insoluble in water. The symbol for a precipitate is ? and would be a solid (s) for the state of matter RULES In a double replacement reaction the metal parts of each reactant switch places. Write down the new products. Look up the new products in a table of solubilities. If a product is listed as being insoluble, this product is a precipitate. Write the symbol for a precipitate, ? , after any product that is listed in the table of solubilities as being insoluble.

Chemical Reactions - Notes

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REACTANTS ?PRODUCTS 1.? Starting substances (reactants) becomes new substances (products). 2. Bonds are broken and new bonds are formed, but atoms are not created or destroyed (just rearranged). Law of Conservation of Mass PRODUCTS REACTANTS SENTENCE EQUATION Iron reacts with oxygen to produce rust WORD EQUATION Iron + oxygen ? iron (III) oxide SKELETON EQUATION Fe + O2 ?Fe2O3 These DO NOT indicate the relative amounts of the reactants and products. BALANCED EQUATION most correct equation includes the physical states of each substance uses coefficients 4Fe(s) + 3O2(g)?2 Fe2O3(s) Learn chart of symbols on page 206 in text. Skeleton equation Word equation Sentence equation Balanced equation Skeleton equation Word equation Sentence equation

rational equations

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9.6 Solving Rational Equations Part II Name__________________________ Algebra 2B Date____________Per____________ Solve making sure you check for extraneous solutions: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. _1262076101.unknown _1262076397.unknown _1263222840.unknown _1262076194.unknown _1262076247.unknown _1262076157.unknown _1262075781.unknown _1262076062.unknown _1262075727.unknown _1078149229.unknown
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bccalcclassact5bparametric

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 5b: Parametric Equations and Calculus Find the derivative for the following parametric equations: x = t2 + 1 and y = 2t3 ? t2 x = 3 sin t and y = 4cos t ? 1 Find the second derivative for the following parametric equations: x = t2and y = t2 + 6t + 5 x = ln t and y = t2 + t A curve C is defined by the parametric equations x = t2 + t ? 1 and y = . Find in terms of t. Find an equation of the tangent line to C through the point where t = 2. A curve C is defined by parametric equations x = t2 ? t + 1 and y = t3 ? 3t. Find all points where the tangent line is horizontal. Find all points of vertical tangency.

bccalcclassact5aparametric

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Name:________________________ Date:________________________ AP Calculus BC Class Activity 5a: Parametric Equations Complete the value of table below and graph the curve for and y = t x y -2 -1 0 1 2 3 Complete the table below and graph the curve for and . t x y 0 ? 2? For the following problems eliminate the parameter and find y as a function of x. and and Given the function below and an equation for x, find one parametric curve that could represent it: and and Use

Math A Guide

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

alg2 review

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H/GT Algebra II - Semester Exam Final Review 1.) Solve 4 264 16 1 0b b? ? ? 2.) What is the vertex of 23 24 5y x x? ? ?? 3.) Graph 22( 1) 1y x? ? ? 4.) Solve 25 19 4n n? ? 5.) Write an equation of a parabola that passes through the points (0, 2), (-2, 6), and (6, 14). 6.) Write the equation for the graph below. 7.) Write an equation of a parabola (general form) with vertex (0, 0) and directrix y = 2. 8.) Find the vertex of 24 4x y y? ? 9.) Graph 2 3y x? ? 10.) Write an equation of a circle with center (4, -3) and radius 5. (General form) 11.) Find the center and radius: 2 2 8 4 12 0x y x y? ? ? ? ?

Calculus AB #2

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?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.

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