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Final

# Mock-Ma129

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Wilfrid Laurier University

Mathematics

MA129

Shane Bauman

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 parabolas 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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