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MA129 (11)
Final

# Mock-Ma129

8 Pages
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School
Wilfrid Laurier University
Department
Mathematics
Course
MA129
Professor
Shane Bauman
Semester
Winter

Description
MA129 Mock Midterm Name: Time Allowed: 80 minutes Total Value: 60 marks Number of Pages: 8 Instructions: Non-programmable, non-graphing calculators are permitted. No other aids allowed. Check that your test paper has no missing, blank, or illegible pages. Note that test questions appear on both sides of the paper. Answer in the spaces provided. Show all your work. Insu¢ cient justication will result in a loss of marks. 2 3 ▯ 2 ▯4 3▯ ▯1 0 ▯2▯ ▯1 2 0 1. [4 marks] Let A = , B = and C = 4 4 0 ▯2 5. ▯1 1 ▯2 3 ▯1 ▯1 1 1 3 Determine each of the following: (a) 3A ▯ B (b) BC 1 2. [4 marks] Simplify each of the following expressions. ▯ 3 ▯2 ▯3 2x y (a) 4 ▯2 (xy ) 2 2 x ▯ 4 6x ▯ 3x (b) 2 ▯ 2 x + 3x ▯ 10 x + 7x + 10 3. [5 marks] Solve the following inequality for x. State your answer using interval notation. 2 3 x ▯ x ▯ 2 2 4. [5 marks] Solve the system of linear equations if it is consistent, or prove that there is no solution if the system is inconsistent: x ▯ 2y + z = 2 4x ▯ 5z = ▯1 ▯10x + 4y + 8z = 4 5. [3 marks] A business-copier repair company charges a xed amount F, plus an hourly rate R for a service call. A customer is billed \$159 for a one-hour service call and \$287 for a three-hour service call. Determine the xed amount and the hourly rate the company charges for a service call. 3 6. [3 marks] Determine an equation of the line which has a x-intercept of 3 and passes through the point (5;▯1). 2 7. [6 marks] Consider the parabola given by y = 2x ▯ 8x ▯ 1. (a) Determine the x-intercepts of the parabola. (b) Determine the coordinates of the parabolas vertex. 10 (c) Sketch the graph of the parabola. y 5 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5
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