ࡱ> NPMf_ Y%bjbj:: X{9\X{9\NN^^^4<LF FFFFFFF$tH*K+F^ 3 ^ +F7@F### l^F# F##R}A2,9D _ rqBEVF0FBK"K<9DK^9D # +F+F" F K N> : Algebra Final Exam Review How to use this study guide: Complete all Practice problems in this packet. Check with the answer key. If you need more work on a topic, see the Extra practice sections and select odd numbered problems. Check answers at the end of the Selected Answers section of your book. Solving Equations (Chapter 3; sections 3.3-3.5): Important skills: Solve multi-step linear equations, equations with variables on both sides, and proportions. Extra practice: pg. 940, sections 3.3-3.5 Practice problems: Solve  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4  Graphing Linear Equations and Functions (Chapter 4; sections 4.1-4.7): Important skills: Identify solutions of linear equations and write equations of horizontal and vertical lines, Calculate the x and y intercepts for a linear equation, calculate slope by using the slope formula, graph using slope and y-intercept, evaluate a function with f(x) notation Extra practice: pg. 941 sections 4.2-4.7 Practice Problems: What is the slope of the line that passes through the points  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  ? through the points (-3,6) and (-3,2)? What are the x and y intercepts of these equations?  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 ? Which of these equations represent direct variation? A)  EMBED Equation.DSMT4  B)  EMBED Equation.DSMT4  What is the constant of variation in the equation  EMBED Equation.DSMT4 ? How do you recognize the graph of a direct variation equation? What is the value of  EMBED Equation.DSMT4  if  EMBED Equation.DSMT4  ? Writing Linear Equations (Chapter 5; sections 5.1-5.7): Important Skills: Write the equation of a line: slope intercept form, point slope form, and standard form (A is an integer!); write equations of parallel and perpendicular lines, write an equation for a line of best fit for a set of points Extra practice: pg. 942 sections 5.1-5.7 Practice Problems: Write the equation of the line that passes through the points  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  in Point-Slope form in Slope-Intercept form in Standard form Write the equations of the vertical and horizontal lines that pass through the point  EMBED Equation.DSMT4  ? How do you recognize the equations of parallel lines? How do you recognize the equations of perpendicular lines? On page 296, do problems # 11, 13, 17 and 19. Write the equation of the line through  EMBED Equation.DSMT4  that is parallel to  EMBED Equation.DSMT4 . Write the equation of the line through  EMBED Equation.DSMT4  that is perpendicular to  EMBED Equation.DSMT4 . On page 329, do problem #8. Solving and Graphing Linear Inequalities (Chapter 6; sections 6.4 - 6.7): Important skills: Find solutions to linear inequalities with two variables, graph linear inequalities with two variables, solve compound inequalities Extra practice: pg. 943, sections 6.4-6.7 Practice problems: Graph the linear inequality  EMBED Equation.DSMT4  Graph the linear inequality  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4 or  EMBED Equation.DSMT4  Systems of Equations and Inequalities (Chapter 7; sections 7.1-7.6): Important skills: Solve systems of linear equations: graphing, substitution, elimination (add/subtract) and write a system of linear equations to represent a word problem Extra practice: pg. 944, sections 7.1-7.6 Practice problems: A linear system can have 0, 1, or infinitely many solutions. How do you determine the number of solutions to a system without actually solving? Solve these systems by any method of your choosing (graphing, substitution, or elimination):  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  Which ordered pair is a solution to the system  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 ?  EMBED Equation.DSMT4  b)  EMBED Equation.DSMT4  c)  EMBED Equation.DSMT4  d)  EMBED Equation.DSMT4  On page 440, do problem #31. Exponents (Chapter 8; sections 8.1-8.4) Important skills: apply all exponent rules to simplify an expression Extra practice: pg. 945, sections 8.1-8.4 Practice problems: Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Simplify EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Polynomials and Factoring (Chapter 9; sections 9.1-9.7) Important skills: Add, subtract, and multiply polynomials, factor polynomials, use the zero product property to solve equations in factored form Extra practice: pg. 946, sections 9.1-9.7 Practice problems: Subtract:  EMBED Equation.DSMT4  Add:  EMBED Equation.DSMT4  Multiply:  EMBED Equation.DSMT4  Simplify:  EMBED Equation.DSMT4  What are the roots of  EMBED Equation.DSMT4  ? Factor:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  e)  EMBED Equation.DSMT4  f)  EMBED Equation.DSMT4  Quadratic Equations (Chapter 10; sections 10.3-10.6): Important skills: Solve quadratic equations by graphing, factoring, taking square roots and using the quadratic formula. Extra practice: pg. 947, sections 10.3 10.6 Practice problems: Where are the zeros on the graph of a quadratic equation? Solve  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4  Find the zeros of  EMBED Equation.DSMT4  What are the solutions of  EMBED Equation.DSMT4 ? Solve  EMBED Equation.DSMT4  Solve using the quadratic formula:  EMBED Equation.DSMT4 . On pg. 655 complete problems 7, 8, and 10. On pg. 674, complete problem 13. Radicals (Chapter 11; sections 11.2, 11.4) Important skills: Evaluate squares and square roots; write an expression in simple radical form; apply Pythagorean Theorem, solve radical equations Extra practice: pg. 948, sections 11.2, 11.4, Practice problems: Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Simplify  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4  Solve  EMBED Equation.DSMT4  On pg. 756, complete problem #29. Chapter 12; sections 12.1, 12.3: Important skills: Dividing polynomials; inverse variation Extra practice: pg. 949, sections 12.1 and 12.3 Practice problems: Find the quotient:  EMBED Equation.DSMT4  ? Find the quotient:  EMBED Equation.DSMT4 . Given that  EMBED Equation.DSMT4  varies inversely with  EMBED Equation.DSMT4 , and  EMBED Equation.DSMT4  when  EMBED Equation.DSMT4 . What is the constant of variation ? On pg. 769, complete problems 3, 5, 7, 29 and 31. Statistics: Important skills: Using the bell curve and z-score formula to interpret data. Z-score:  EMBED Equation.DSMT4  Draw and label a bell curve: If a set of data is normally distributed with a mean of 82 and a standard deviation of 2.5, how many standard deviations away from the mean is the element 87? 58). Use the z-score formula: If the class mean on a test was 91 with a standard deviation of 2.3, what was the test score (to the nearest integer) of a student whose z-score was -1.3 ? #19-20 Graph your solutions on a number line. #17-18 Use graph paper and dont forget to shade!  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