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25 Questions on Mathematical Modeling - Exam 3 | MAT 1101, Exams of Mathematics

Material Type: Exam; Professor: Molik; Class: MATHEMATICAL MODELING; Subject: Mathematics; University: Augusta Technical College; Term: Summer 2008;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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Test 3 MAT 190 Summer 2008 Name ________________________
Simplify all answers and show your work!
1. Solve the inequality: 5(2x – 6) < 3(x + 4) – 2 2. Solve the inequality: 7x428
<
3. If 30 pounds of tomatoes and 10 pounds of bananas cost $23 and 20 pounds of tomatoes and 40
pounds of bananas cost $32, what is the price per pound each of tomatoes and bananas?
4. If f(x) = , find the inverse (f -1(x)). 5. Combine like terms:
14xy + 5x2y3 – 3x2y + 7xy – 6x2y
6. Add: (3x3 – 2x2 + 5x) + (4x3 + 13x2 – 8x)
Simplify the following:
7. 26
34
yx12
yx8
8. 32 • 23 • 3 – 4 • 2 – 2 9.
3
32
25
yx
yx2
10. 4
5
16
11. 298 )yx3( 12. Subtract: (8x2 – 5x + 3) – (6x2 + 2x – 7)
pf2

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4 x + 3

Test 3 MAT 190 Summer 2008 Name ________________________

Simplify all answers and show your work!

  1. Solve the inequality: 5(2x – 6) < 3(x + 4) – 2 2. Solve the inequality: − 8 ≤ 2 − 4 x< 7
  2. If 30 pounds of tomatoes and 10 pounds of bananas cost $23 and 20 pounds of tomatoes and 40 pounds of bananas cost $32, what is the price per pound each of tomatoes and bananas?
  3. If f(x) = , find the inverse (f -1(x)). 5. Combine like terms: 14xy + 5x^2 y^3 – 3x^2 y + 7xy – 6x^2 y
  4. Add: (3x^3 – 2x^2 + 5x) + (4x^3 + 13x^2 – 8x)

Simplify the following:

  1. (^62)

4 3 12 x y

8 x y −

  1. 3^2 • 2^3 • 3 – 4^ • 2 – 2^ 9.

3 2 3

5 2 x y

2 x y 

5 16

  1. ( 3 x^8 y−^9 )−^2 12. Subtract: (8x^2 – 5x + 3) – (6x^2 + 2x – 7)
  1. Multiply: 3x^3 y(2x^2 y^4 – 5xy^2 + 10x^3 y^3 ) 14. Multiply: (2x – 7)(5x + 3)
  2. Multiply: (4x – 7)(2x^2 + x – 9) 16. Multiply: (7x + 5)^2

Factor the following completely:

  1. 72x^9 y^8 + 90x^5 y^4 + 27x^7 y^2 18. x^2 + 4x – 21 19. x^2 – 49
  2. 16x^2 – 81 21. 3x^3 + 6x^2 – 4x – 8 22. 8x^2 – 6x – 9
  3. Simplify: x 15 x 54

x 7 x 18 2

2

  • − 24. Multiply and simplify: x 6 x 5

x 4 x 4

x x 2 2

2 − −

  1. Divide and simplify: x 12 x 35

x 6 x x 11 x 28

x 10 x 24 2

2 2

2

÷ +