MCR3U – Exam Review Topics (Jan 2015)
1.
2.
3.
4.
Simplifying expressions with rational exponents
Simplifying rational expressions (restrictions)
Functions – function notation, domain, range
Transformations of functions – graphing using transformations
 Linear, quadratic, roots, exponentials, rational
5. Inverse of a function – finding the inverse algebraically and graphically
6. Quadratics
 Solving quadratic equations – exact solutions, number of solutions to a quadratic equation (quadratic
formula, factoring, discriminant)
 Determining the intersection points between:
i. a line and a parabola
ii. two parabolas
 Word problems involving solving quadratic equations and finding MIN/MAX (complete the
squares/partial factoring) and ZEROS (factoring/quadratic formula)
7. Exponential functions
 Properties & Graphs
 Solving exponential equations (common bases)
 Exponential growth and decay
 Doubling life and half life
8. Trigonometry
 Basic trig ratios – SOH-CAH-TOA
 Sine Law
 Cosine Law
 Ambiguous cases
 Obtuse angles
 CAST rule
9. Trigonometric functions
 Properties – amplitude, vertical shift, phase shift, period, MIN and MAX value
 Determine the equation from a graph
 Graphing the function given the equation
 Solving trig equations (special triangles, RAA, coterminal angles, CAST)
 Proving trig identities
 Applications
10. Discrete functions
11.Financial applications of sequences and
series
 Arithmetic sequences and series
 Present value of an annuity
 Geometric sequences and series
 Future value of an annuity
 Recursive
 Compounded interest
 Word problems
 Simple interest
 Pascal triangles
 Mortgages
 Binomial theorem
MCR3U – Final Exam Review Questions
REVIEW ALL UNIT TESTS AS WELL!
Textbook Review Questions – All Units
Pg. 165 #1-6, 1-7a-d
Pg.323#1-6, #1-5
Pg.493#1-8, #1-8,10-11
Pg.701#1-4ab
Textbook Additional Practice Questions by Unit
UNIT 1: Rational Expressions
Pg. 90 #9, 10
UNIT 2: Exponential Functions
Pg. 90 #1, 2, 3, 5, 12
(Also review double and half-life word problems handout)
UNIT 3: Quadratic Functions
Pg. 157 #26, 27
Pg. 693 #23
Pg. 156 #17, 19, 23
(Also review the finding the value of the discriminate. For example: Determine the values of k that will give
two real roots)
UNIT 4: Inverses/Transformations of Functions
Pg. 250 #29, 42, 43
Pg. 256 #12, 13
UNIT 5: TRIGONOMETRY
Pg. 314 #13, 14
Pg. 316 #5
UNIT 6: Trig Transformations
Pg. 413 #11, 14, 27, 30, 32
UNIT 7: Sequences and Series
Pg. 470 #10
Pg. 480 #3, 10, 11
UNIT 8: Finance and Binomial Theorem
Pg. 533 #10
Pg. 573 #5, 6, 10, 13, 15, 16
(Also review Expanding Binomials using Pascal’s Triangle handout)