Department

MathematicsCourse Code

MA129Professor

Shane BaumanStudy Guide

FinalThis

**preview**shows pages 1-2. to view the full**8 pages of the document.**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.

1. [4 marks]Let A=24 3

1 1 2,B=1 0 2

311and C=2

41 2 0

4 0 2

113

3

5.

Determine each of the following:

(a) 3AB

(b) BC

1

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2. [4 marks]Simplify each of the following expressions.

(a) 2x3y23

(xy4)2

(b) x24

x2+ 3x10 6x23x

x2+ 7x+ 10

3. [5 marks]Solve the following inequality for x. State your answer using interval notation.

2

x3

x2

2

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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:

x2y+z= 2

4x5z=1

10x+ 4y+ 8z= 4

5. [3 marks]A business-copier repair company charges a …xed amount F, plus an hourly rate Rfor

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

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