- Final Exam Topics

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Math 10 Academic – Final Exam Topics
Please note that this is just a list of the major terms/topics that were covered this semester. This list may not
include all minor terms/topics…it is meant to guide you as you prepare for your exam. Besides doing the
practice questions that are on my website, please remember to refer to your notes, old tests/quizzes, ICA’s,
comprehension checks, etc. as well. If you have questions, please seek extra help (sooner rather than later!).
**Basic Skills (i.e. junior high stuff that you should be able to do):
 Order of operations
 Working with integers
 Working with fractions
 Solving linear equations
Unit 1 - Patterns, Relations, Equations and Predictions (linear)
 Basics of graphing (axes, scale, coordinate points, quadrants, origin independent and dependent
variables, linear vs. non-linear, co-linear)
 Word problems (linear) and creating equations
 Domain and range
 The equation of a line (y = mx + b)
 Slope-intercept form of the equation of a line
 Rearranging equations
 Graphing with a table of values
 Graphing with slope & y-intercept
 Graphing with x and y-intercepts, solving for intercepts
 Determining the equation of a line:
o Given 2 points
o Given a point and the slope
o From the graph
 Slope
 Parallel vs. perpendicular lines (and being able to apply those concepts in determining the equation of a
line)
 Comparing 2 (or more) lines
 Solving systems of equations:
o Graphically
o Substitution
o Elimination
o word problems
Unit 2 – Modeling Functional Relationships (quadratics)
 Factoring: GCF, difference of perfect squares, trinomials (trial & error, decomposition)
 Rational expressions: Simplifying, multiplying, dividing, adding, subtracting rational expressions
 Polynomials: degree of a polynomial, type of polynomial (i.e. monomial, binomial, trinomial), variable,
coefficient, term, multiplying, dividing, adding, subtracting
 Functions and the vertical line test
 Function notation
 Modelling (interpreting graphs)

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