Name Date FINAL EXAM STUDY GUIDE Pre-Algebra Course 3 The following is an outline of key elements that should have been mastered during the course of the year (Grade 8 Green Book Course 3). Use it wisely to help prepare for this important assessment of your math skills! Chapter 1 Rational Numbers and Percent - Includes Rational Numbers, Adding and Subtracting Rational Numbers, Multiplying and Dividing Rational Numbers, Comparing Rational Numbers, Finding Percent of a Number using Proportions, Discounts, Mark-ups, Sales Tax and Percent of Change. : Convert between percents, decimals and fractions Write fractions and percents in lowest terms Find percents of a number (2) Find percent of increase 1
Chapter 2 Real Numbers and Monomials - Includes evaluate monomials with exponents, multiplying and dividing monomials, powers of monomials, use of negative exponents, converting very small and large numbers into scientific notation (and vise-versa), computing with scientific notation, finding square roots and cube roots, estimating roots and comparing real numbers. : Evaluate expressions using PEMDAS (2) Order numbers from least to greatest Evaluate Expressions Write very large and very small numbers using scientific notation (both ways) (2) Use square roots to find the side length of a square Simplify monomials using addition, subtraction, and exponents (2) Write monomials using only positive exponents 2
Chapter 3 Equations and Inequalities - Includes writing equations from word problems, solving equations using addition and subtraction, solving equations using multiplication and division, solving two-step equations, writing two-step equations, graphing inequalities, solving inequalities with addition and subtraction, solving inequalities with multiplication and division, solving two-step equations Needs Mastered Write equations from word problems (3) Graph solution sets of inequalities on a number line Chapter 4 Multi-Equations and Inequalities Includes properties of numbers (commutative, associative, and distributive), simplifying algebraic expressions, solving equations with variables on both sides, solving multi-step equations, solving multi-step inequalities, Simplify expressions containing distributive property Solve equations including those with distributive property 3
Chapter 5 Expressions and Functions Includes translating verbal phases into algebraic equations, evaluating expressions, graphing coordinate pairs on the coordinate grid, finding rules for a pattern, translating information in tables into expressions, translating information in graphs into equations, determining if a relation is a function, complete function tables, determining if a function is linear or non-linear and graphing quadratic functions. Create function tables for any given function Needs Mastered Evaluate functions as linear or non-linear Evaluate functions in the form of f(x) = mx+b 4
Chapter 6 Linear Functions and Systems of Equations Includes finding a constant rate of change (slope), finding slope of a line, finding direct variation (relationship of y to x is constant), graph linear equations using slope and y-intercept, graph functions using only the x- and y- coordinates, solve systems of equations using graphs, solve systems of equations using substitution, Find constant rate of change, or slope given a table, graph, or equations (3) Graph linear equations Identify slope and y-intercept in an equation Find slope of a line through 2 points Write equations given slope and y-intercept Find solutions to a system of equations using graphing Evaluate Data presented in a graph 5
Chapter 7 Two and Three-Dimensionsal Geometry Includes classifying angles, identify vertical and adjacent angles, identify complementary and supplementary angles, find missing angle measures, identify angles formed by two parallel lines cut by a transversal (interior, exterior, alternate and corresponding angles), classify angles by sides and angles, find missing angle measures in ANY polygon, identify and classify quadrilaterals, find the sum of the angle measures for any polygon, find the measure of an angle in a regular polygon Find missing measure of any polygons (2) Classify Angles Find the total number of degrees in any polygons Identify Complementary and Supplementary Angles Identify Interior, Exterior, Alternate and Corresponding Angles Find missing angle measures using Complementary and Supplementary Angles Identify Properties of Quadrilaterals Find Area and Perimeter of Polygons 6
Chapter 8 Triangles and Transformations Includes identify similar polygons and use proportions to find missing measures, use the Pythagorean Theorem to find missing sides of a right triangle, find the distance between two points on a coordinate plane, graph translations, reflections and dilations on a coordinate plane. Solve Proportions for a missing value Prove that triangles are similar Transform figures using translations, reflections, rotations and dilations (2) Use Pythagorean Theorem to find missing sides in a triangle (3) Identify Coordinate Pairs for points that are translated, reflected, rotated, or dilated (2) Use the distance formula to find how far two points are apart on coordinate plane 7
Chapter 12 Area and Volume Includes finding the circumference and area of circles, finding area of composite figures, finding volumes of prisms and cylinders, finding volumes of pyramids, cones and spheres, finding the surface area of prisms and cylinders, and finding the surface area of pyramids and cones. Find Area and Circumference of a Circle (2) Find the Area of Composite Figures (2) Find Surface Area of Prisms and Cylinders Find Volume of a Cone, Pyramid, and Sphere Define terms such as diameter, circumference, Pi, and area 8