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Sample Midterm Exam: Mathematics Cumulative Review - Prof. John Redden, Exams of Algebra

College of the Sequoias (COS)Algebra
Prof. John Redden

A midterm exam for a mathematics course, covering topics such as simplification, evaluation, solving equations, and graphing lines. Students are required to answer all questions and show their work where appropriate.

Typology: Exams

2009/2010

Uploaded on 02/24/2010

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koofers-user-pmu ๐Ÿ‡บ๐Ÿ‡ธ

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Chapters 1 โ€“ 4 _ Cumulative Review
Sample Midterm Exam
Please answer all the questions and show work where appropriate.
1. Simplify: 2
5)2(395 โˆ’รทโˆ’
2. Evaluate: acb 4
2โˆ’ when 1
โˆ’
=
a, 3
โˆ’
=
b and 5
=
c
3. Simplify: )45()52(3
โˆ’
โˆ’+ xx
4. Simplify: yxyx 5
3
2
1
2
5
3
2
+
โˆ’+
5. Solve: 873 =โˆ’x
6. Solve: 9)62()123( 2
1
3
2
=
+
โˆ’
โˆ’xx
7. Solve: 217)32(5
<
+
+โˆ’ xx
8. Solve for w: wlP 22 +=
9. A taxi service charges $5.00 for a ride plus $0.70 per mile. How many miles can
you go if you wish to spend at most $40.00?
10. To earn a โ€œBโ€ in a mathematics course your average score must be at least 80. If
you earn a 70, 75 and 82 on the first three exams, what must you score on the 4th
exam to earn a โ€œBโ€?
11. Find the slope of the line in the given graph.
pf3

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Download Sample Midterm Exam: Mathematics Cumulative Review - Prof. John Redden and more Exams Algebra in PDF only on Docsity!

Sample Midterm Exam

Please answer all the questions and show work where appropriate.

  1. Simplify: 5 โˆ’ 9 รท 3 ( 2 )โˆ’ 52
  2. Evaluate: b^2 โˆ’ 4 ac when a =โˆ’ 1 , b =โˆ’ 3 and c = 5
  3. Simplify: 3 ( 2 x + 5 )โˆ’( 5 x โˆ’ 4 )
  4. Simplify: 32 x + 25 y โˆ’ 21 x + 53 y
  5. Solve: 3 x โˆ’ 7 = 8
  6. Solve: 32 ( 3 x โˆ’ 12 )โˆ’ 21 ( 2 x + 6 )= 9
  7. Solve: 5 ( โˆ’ 2 x + 3 )+ 7 x < 21
  8. Solve for w : P = 2 l + 2 w
  9. A taxi service charges $5.00 for a ride plus $0.70 per mile. How many miles can you go if you wish to spend at most $40.00?
  10. To earn a โ€œBโ€ in a mathematics course your average score must be at least 80. If you earn a 70, 75 and 82 on the first three exams, what must you score on the 4 th exam to earn a โ€œBโ€?
  11. Find the slope of the line in the given graph.

Sample Midterm Exam Page 2

  1. Find the x and y โ€“ intercepts of 3 x โˆ’ y =โˆ’ 6 and use them to graph the line.
  2. Determine if the line passing through (โ€“3, โ€“5) and (3, 4) is parallel or perpendicular to โˆ’ 3 x + 2 y = 6. Justify your answer.
  3. Find the equation of the line, in slope intercept form, perpendicular to x + 2 y = 14

passing through the point (โ€“5, 1).

  1. Solve by Graphing: โŽญ

x y

x y

  1. Solve by Substitution: โŽญ

y x

x y

  1. Solve by any method:

a. โŽญ

x y

x y b. โŽญ

x y

x y

  1. The perimeter of a rectangular garden measures 64 feet. If the length is 4 feet less than twice its width, what are the dimensions of the garden?
  2. There are 21 quarters and dimes in a can whose value adds to $3.60. How many of each coin are in the can?
  3. An airplane flying with the wind can travel 690 miles in 3 hours. On the return trip, against the same wind, the plane can only travel 510 miles in the same amount of time. What is the speed of the wind?