MATH 100 Midterm: MATH100 Midterm 1 2006 Spring

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Department of Mathematics
MATH 100, PRECALCULUS
MIDTERM 1
Wednesday February 1, 2006
11.30 – 12.20
Last Name
Given Name(s)
Student Number
Signature
INSTRUCTIONS
1. Do NOT open this booklet until permission is given.
2. Calculators are NOT permitted.
3. Please formulate and motivate your answers.
Well-phrased and complete explanations are more important than just an answer.
4. If the space provided for the answer is insufficient, please use the back side of the PREVIOUS
page. Clearly mark which question you are answering in that case.
5. If a question is unclear or appears to contain an error, please ask for clarification.
6. The maximum mark for this exam is 30. In front of each question, the maximal mark for that
question is given.
7. This exam consists of 7 PAGES, a SCORE PAGE, and contains a single PINK formula
sheet.
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MATH 100, PRECALCULUS Page 2 of 7
1. QUESTION
In this question we consider the line lthrough the points (1,2) and (3,10).
[2] (a) Compute the slope of the line l.
ANSWER
[4] (b) Give the slope-intercept form of the line l.
ANSWER
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MATH 100, PRECALCULUS Page 3 of 7
2. QUESTION
[2] (a) Determine the slope of any line that is perpendicular to the line y=3
4x+5. Motivate
your answer briefly.
ANSWER
3. QUESTION
[4] (a) Determine the values of asuch that the distance between the points (2,7) and
(1, a)is 5.
ANSWER
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Document Summary

Instructions: do not open this booklet until permission is given, calculators are not permitted, please formulate and motivate your answers. Well-phrased and complete explanations are more important than just an answer: if the space provided for the answer is insu cient, please use the back side of the previous page. Clearly mark which question you are answering in that case: if a question is unclear or appears to contain an error, please ask for clari cation, the maximum mark for this exam is 30. In front of each question, the maximal mark for that question is given: this exam consists of 7 pages, a score page, and contains a single pink formula sheet. In this question we consider the line l through the points ( 1, 2) and (3, 10). [2] (a) compute the slope of the line l. [4] (b) give the slope-intercept form of the line l.