Solving Quadratic Equations Review
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Equations
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Chemistry Chp. 9 Review
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Holt Modern Chemistry Review CHAPTER 9: STOICHIOMETRY The following pages contain the bulk (but not all) of the information for the chapter 9 test. Focus on this content, but make sure to review class notes, activities, handouts, questions, etc. If you study this document and NOTHING else, you should at least be able to PASS the test. ***** Test items will be recall, examples, and/or application of this content. ***** OUTCOMES Collaborate with peer(s) to understand chemistry content (C C) Communicate chemistry content to teacher and peer(s) (E C) 9.1: Determine number of moles from balanced chemical equations. (T & R) 9.2: Perform stoichiometry calculations such as: mole to mole, mole to gram, gram to mole, and gram to gram. (F & PK)
quadratic formula notes
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Section 4-6: The Quadratic Formula and the Discriminant The standard form of a quadratic is: +('' The quadratic formula is: )(. - - , where a, b, and c are real numbers where a # 0. - > What is the purpose of using the quadratic formula? : / What is the expression used to find the discriminant: \ > What information does the discriminant tell you? / (IC IS Value of Discriminant: ( Number and types of 'I \ ( solutions: Graph will look like: Find the discriminant of the quadratic equation and give the number and type of solutions of the equation. Ex 1) a. x2 +6x+11 b.x2 +6x+9 c.x2 +6x+5 1 - - L - Identify the discrimant of-eacb of-the following equations and state how many solutions and what
square roots and imaginary numbers
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?6= ?2 b) 25 c) 7(x-4)2 ?18=10 tt fS )c 100 - f(TI1)jii Solving Quadratic Equations by Finding Square Roots Objective: To solve quadratic equations with real solutions. If R2=S, then Risa (00+ of S. A positive number S has 2 square roots written as ( and . ?O Properties: Product Property: V'-a- Quotient Property:Tb Simplify the expression (radical) a) b) c) id * 1-5 Rationalize Denominators of fractions 1 1 5D re: a, / 1,0 a) J ~S? I- b) 2 rOL - I Steps to solving quadratic equations: Step 1: Write the original equation - V+3f 1:-- ?4 } d) I? '- V64 '4L.f Form of the denominator Multiply numerator and denominator by: (multiply the _by_ _conjugate) puC 3 - j --3)-2 i_i0 (7+) ?- F (p
graphing quadratic equations
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Name: Date: Section 4-2 Notes Graphing Quadratic Functions in ird For Standard form of a quadratic function is E ax - A The parent function of the family of all quadratic functions is f(x) The graph of a quadratic function is a DaYWO01 IA. The vertex of a parabola is the or point on the parabola. .-.J 00 The axis of jcnY1LeA-rJ7 divides the parabola into mirror images and passes through the Graph the function y = CoWare to Graph the function y = (_--x)2. Compare it to -1 '/q 00 Thej X~'M The graph of a parabola is more vertically stretched than the parent function if 1 1k 1 > I The graph of a parabola is more vertically compressed than the parent function if The graph of a parabola is more horizontally stretched than the parent function if" I
Absolute value notes
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1-4, 1-6 Solving Absolute Value Equations and Inequalities Absolute value: distance from zero on a number line. Since distance in a nonnegative, the absolute value of a number is always positive. The symbol lxi is used to represent the absolute value of a number x. I units 4 units I I I I 1 I 3 4 5 Solving Absolute Value Equations: For any real numbers a and b, where b ~! 0, if Jal = then a = b or ?a = b. The second case is often written as a = ?b. Steps 1. Isolate the Absolute Value expression 2. Rewrite equation without the I I symbols. a. One with positive answer b. One with negative answer Ex 1: Jx-51=7 x-c3- ?t-3 k'3 + 3. Solve each equation '7 2\: flL1 - '7 I 2 - \ - 4. Check your answers (plug back into I T
Calculus 1 Exam 3 2of4
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8) Find the inverse function of f. 9) Find the exact solution and rounded to four decimal places solution of the exponential equation. 10) Find the solution using Gaussian elimination or Gauss ? Jordan elimination. 11) Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution. Find the solution using Gaussian elimination or Gauss ? Jordan elimination 12) Graph the solution set of the system of inequality. 13) Use Cramer?s Rule to solve the system.
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Solving Quadratic Equations by Factoring
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Command terms used on IB bio test
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Command ?Terms ? These ?command ?terms ?indicate ?the ?depth ?of ?treatment ?required ?for ?a ?given ?assessment ?statement. ?These ?command ?terms ?will ?be ?used ?in ?examination ?questions, ?so ?it ?is ?important ?that ?students ?are ?familiar ?with ?the ?following ?definitions. ?
Note Taking Guide 1.7
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1.07 Algebraic Properties & Equations Essential Questions After completing this lesson, you will be able to answer the following questions: How are algebraic properties applied in the steps to solving equations? How are equations created from context and used to solve real world problems? Main Idea Definition or Summary Example Algebraic Expression An algebraic expression is a ____________ but has nothing to __________. 2x+3 or x ? 4 Create your own: Equation An equation is _____________ set ________ to each other. 2x + 4 = 12 Create your own: Commutative Property of Addition or Multiplication Numbers can change __________. 2+5 = 5+2 3*2 = 2*3 Create your own: Associative Property of Addition or Multiplication The parenthesis move. 1 + (3 + 2) = (1 + 3) + 2
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