EOC Weekly Practice Problems for Algebra 1:



Algebra 1 EOC Study Guide: June 2012, Draft #1 (Hafferty/Leake)Table of ContentsChapter 1: Number, operations, expression and variableACompare & Order Real NumbersBEvaluate expressions with variables CUse properties of exponents to simplifyDSimplify square and cube rootsEEvaluate algebraic expressions FSolve for a variable in an equationChapter 2: Characteristics and behaviors of linear and non-linear functionsARelations and Functions B,C,DNot written yetEMultiple representations (symbolic, graph, table, words)FMake Connections (Linear & Exponential)GMake Connections(Quadratic & Absolute Value)HFunction notation ( Find f(x) at x = a)IFunction notation (Solve for x if f(x)=b)JSelect and justify functions (to model and solve problems)KSolve problems (that can be modeled with exponential functions)LSketch the graph (exponential)MDescribe the effect that changes in parameter have on the graph (exponential)NFind and approximate solutions (Exponential Equations).ORecursive & Explicit equations for arithmetic & geometric sequencesPDescribe the effect that changes in parameter have on the graph (absolute vale)Chapter 3: Linear Equations and Inequalities AWrite and Solve Linear EquationsBWrite an equation for a line and graph a lineCWrite equations for horizontal and vertical linesDTranslate between forms of linear equationsEInterpret Slope and interceptsFParallel & perpendicular lines GWrite & Solve systems of two linear equationsHChanging parameters of linear equationsINot finished (practice problems need to be added)JSolve problems with linear equations and Solve problems with linear inequalitiesKSolve problems with systems of linear equationsLNot written yetChapter 4: Data and Statistics ASummary StatisticsB-INot written yetAPPENDIXChapter 1: Number, operations, expression and variable: 5-8 Questions (37 Total) 6-8 Points (40 Total)State Standards Assessed:A1.2.AA1.2.BA1.2.CA1.7.DA1.8 A-G (Problem Solving)Bainbridge (A2, A7) Numbers & Operations File Name& DescriptionState StrandItem SpecificationCh1 ACompare & Order Real NumbersA1.2.AKnow the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.Ch1 BEvaluate expressions with variables A1.2.BRecognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.Ch1 CUse properties of exponents to simplifyA1.2.CInterpret and use integer exponents and apply the laws and properties of exponents to simplify and evaluate exponential expressions.Ch1 DSimplify square and cube rootsInterpret and use square and cube rootsCh1 E Evaluate algebraic expressions & A1.2.BRecognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.Ch1 FSolve for a variable in an equationA1.7.DSolve an equation involving several variables by expressing one variable in terms of the others.For example: Solve for L in A =LWAPPENDIXChapter 2: Characteristics and behaviors of linear and non-linear functions10-12 Questions (37 Total)11-13 Points (40 Total) State Standards Assessed: A1.1.A (may include exponential models)A1.1.E (may include exponential models)A1.3.AA1.3.BA1.3.CA1.4.EA1.7.AA1.7.BA1.7.CA1.8 A-G (Problem SolvingBainbridge (A3) Function Characteristics 11-13 questionsFile Name& DescriptionState StrandItem SpecificationCh2 ARelations and Functions A1.3.ADetermine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.Ch2 BDomain, range, finding roots A1.3.ADetermine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.Ch2 CFunctions defined piecewise In the notes it says, step functions will be described verbally or graphically not symbolicallyCh2 D Independent, dependent variables A1.3.ADetermine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.Ch2 EMultiple representations (symbolic, graph, table, words)A1.3.BRepresent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.Ch2 FMake Connections (Linear & Exponential)A1.3.BRepresent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.Ch2 GMake Connections(Quadratic & Absolute Value)A1.3.BRepresent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.Ch2 HFunction notation ( Find f(x) at x = a)A1.3.CEvaluate f(x) at x=aCh2 IFunction notation (Solve for x if f(x)=b)Solve for x in the equation f(x)=bCh2 B is not written yetCh2 C is not written yet.Ch2 D is not written yet.APPENDIXChapter 2: Characteristics and behaviors of linear and non-linear functions (continued)File Name& DescriptionState StrandItem SpecificationCh2 JSelect and justify functions (to model and solve problems)A.1.1.ASelect and justify functions and equations to model and solve problemsCh2 KSolve problems (that can be modeled with exponential functions)A.1.1.ESolve problems that can be represented by exponential functions and equationsCh2 LSketch the graph (exponential)A.1.7.ASketch the graph for an exponential function of the form y=ab^x where n is an integer.Answer questions that arise in situations that arise in situations modeled by exponential functions.Ch2 MDescribe the effect that changes in parameter have on the graph (exponential)A.1.7.ADescribe the effects that changes in the parameter of exponential functions have on the graph.Ch2 NFind and approximate solutions (Exponential Equations).A1.7.BA1.7.CFind and approximate solutions to exponential equationsCh2 ORecursive & Explicit equations for arithmetic & geometric sequencesExpress arithmetic and geometric sequences in both explicit & recursive forms (& use the forms to find specific terms in the sequence).Ch2 PDescribe the effect that changes in parameter have on the graph (absolute vale)A1.4.EDescribe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent.Note: A.1.7.A (answer questions) is practiced in the A1.1.E (solve problems) EOC reviewAPPENDIXChapter 3: Linear Equations and Inequalities: 10-12 Questions (37 Total)11-13 Points (40 Total)State Standards Assessed:A1.1.BA1.4.CA1.1.CA1.4.DA1.4.AA1.8 A-G (Problem Solving)Bainbridge Island (A4) Linear Functions & Inequalities File Name& DescriptionState StrandItem SpecificationCh3 AWrite and Solve Linear EquationsA1.4.AWrite and Solve linear equations and inequalities in one variableCh3 BWrite an equation for a line and graph a line A1.4.BWrite and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.Ch3 CWrite equations for horizontal and vertical linesA1.4.BWrite and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.Ch3 DTranslate between forms of linear equations A1.4.BWrite and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.Ch3 EInterpret Slope and intercepts A1.4.CIdentify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular linesCh3 FParallel & perpendicular lines A1.4.CIdentify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular linesCh3 GWrite & Solve systems of two linear equations A1.4.DWrite and solve systems of two linear equations and inequalities in two variables.Ch3 HChanging parameters of linear equationsA1.4.Eor A1.4.ADescribe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent. orWrite and solve linear equations in one variable. (in the notes it says it can include absolute value).Ch3 IGraphing inequalitiesA1.1.CSolve problems that can be represented by a system of two linear equations or inequalitiesCh3 JSolve problems with linear equations and Solve problems with linear inequalitiesA1.1.BSolve problems that can be represented by linear functions, equations and inequalitiesCh3 KSolve problems with systems of linear equationsA1.1.CSolve problems that can be represented by a system of two linear equations or inequalitiesCh3 LSolve systems of two linear inequalitiesA1.1.CSolve problems that can be represented by a system of two linear equations or inequalities*Ch3 L has not been written – systems of inequalities, * Ch3 C horizontal and vertical inequalities could be added to Ch3 C* Ch 3 I – is not finished practice problems need to be addedAPPENDIXChapter 4: Data and Statistics : 5-7 Questions (37 Total)6-8 Points (40 Total)State Standards Assessed:A1.6.AA1.6.BA1.6.CA1.6.DA1.6.EA.1.8 A-G (Problem Solving)Bainbridge Island (A6) Data Analysis File Name & DescriptionState StrandItem SpecificationCh4 ASummary Statistics A1.6.AUse and evaluate the accuracy of summary statistics to describe and compare data sets.Ch4 BValid Inferences A1.6.BMake valid inferences and draw conclusions based on data.Ch4 CUnivariate Data A1.6.CDescribe how linear transformations affect the center and spread of univariate data.Ch4 DLinear Transformations A1.6.CDescribe how linear transformations affect the center and spread of univariate data.Ch4 EEffect on Center & Spread A1.6.CDescribe how linear transformations affect the center and spread of univariate data.Ch4 FFit an equation to a line A1.6.DFind the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.Ch4 GBest fit linesA1.6.DFind the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.Ch4 HPredicting from data A1.6.DFind the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.Ch4 ICorrelation of data in Scatter plotsA1.6.EDescribe the correlation of data in scatter plots in terms of strong or weak and positive or negative.Bainbridge Island Review Questions: APPENDIX(A2, A7) Numbers & Operations 6-8 questions 1. Compare & Order Real Numbers 2. Evaluate expressions with variables 3. Exponents, roots, use properties to evaluate 4. Evaluate Algebraic Expressions 5. Solving equations with several variables: ex. (A = prt) (A3) Function Characteristics 11-13 questions 6. Relations and Functions 7. Domain, range, finding roots 8. Functions defined piecewise 9. Independent, dependent variables 10. Multiple representations: symbolic, graph, table, words 11. Connections between representations 12. Evaluate f(x) at a, solving f(x) 13. Select and justify functions and equations to model and solve problems14. Solve problems that can be represented by exponential functions and equations15. Exponential Function models and graphs16a. Approximate the solution to an exponential equations16b. Express Arithmetic & Geometric both as recursive and explicit formula17. Describe how the parameters of linear functions and absolute value affect their graphs.(A4) Linear Functions & Inequalities 11-13 questions 18a. Solve Linear Equations 18b. Write Linear Equations 19a. Write a Linear Equation 19b Graph horizontal and vertical lines19c. Graph a Linear Equation20. Point slope forms, translate between 21. Interpret Slope and intercepts 22. Parallel & perpendicular lines 23. Write & Solve systems of two linear equations 24. Absolute value in equations 25. Graphing Absolute value 26. Solve problems that can e represented by linear functions, equations and inequalities27. Solve problems that can be represented by a system of linear equations and inequalities.(A6) Data Analysis 6-8 questions 28. Summary Statistics 29. Valid Inferences 30. Univariate Data 31. Linear Transformations 32. Effect on Center & Spread 33. Fit an equation to a line 34. Best fit lines 35. Predicting from data ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download