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Test 3 for Mathematical Modeling Questions - Winter 2009 | MAT 1101, Exams of Mathematics

Material Type: Exam; Professor: Molik; Class: MATHEMATICAL MODELING; Subject: Mathematics; University: Augusta Technical College; Term: Winter 2009;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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Test 3 MAT 1101 Winter 2009 Name ________________________
Simplify all answers and show your work!
1) To add and subtract fractions, they must have a _________________________________________.
2) Why can we not simplify 2x + 3y and further? __________________________________________
_________________________________________________________________________________.
3) Exponents are a shortcut for repeated ______________________________________.
4) When we have a variable with an exponent raised to another exponent, what do we do with those
exponents? (Ex: (x3)2 )_____________________________________________________________
5) Combine like terms: 2xy + 3x2y – 12x2y + 17xy – 12xy
6) Add: (4x3 + 5x2 – 7) + (8x3 – 11x2 + 9) 7) Subtract: (7x2 – 2x – 8) – (3x2 – x + 5)
Simplify the following:
8) 75
62
yx16
yx4
9)
3
35
24
yx2
yx3
10) 324 )yx4(
11) 3
4
27
12) 4 3 3 2 • 4 – 1 • 3 4 13) 1276
x
x
x
Multiply the following:
14) 4x2(3x2y + 5xy4 – 4xy) 15) (x – 4)(x + 7) 16) (3x – 5)(6x + 8)
17) (3x + 2)2 18) (5x – 6)(x2 – 2x + 3)
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Download Test 3 for Mathematical Modeling Questions - Winter 2009 | MAT 1101 and more Exams Mathematics in PDF only on Docsity!

Test 3 MAT 1101 Winter 2009 Name ________________________

Simplify all answers and show your work!

  1. To add and subtract fractions, they must have a _________________________________________.

  2. Why can we not simplify 2x + 3y and further? __________________________________________

_________________________________________________________________________________.

  1. Exponents are a shortcut for repeated ______________________________________.

  2. When we have a variable with an exponent raised to another exponent, what do we do with those

exponents? (Ex: (x^3 )^2 )_____________________________________________________________

  1. Combine like terms: 2xy + 3x^2 y – 12x^2 y + 17xy – 12xy

  2. Add: (4x^3 + 5x^2 – 7) + (8x^3 – 11x^2 + 9) 7) Subtract: (7x^2 – 2x – 8) – (3x^2 – x + 5)

Simplify the following:

2 6

16 x y

4 x y −

3

5 3

4 2

2 x y

3 x y  

  1. ( 4 x^4 y−^2 )−^3

4 27

  1. 4 3 • 3 – 2^ • 4 – 1^ • 3 4 13) x 6 • x−^7 • x^12

Multiply the following:

  1. 4x^2 (3x^2 y + 5xy^4 – 4xy) 15) (x – 4)(x + 7) 16) (3x – 5)(6x + 8)

  2. (3x + 2)^2 18) (5x – 6)(x^2 – 2x + 3)

Factor the following completely:

  1. 25x^4 y^7 + 40x^3 y^5 + 35x^8 y^6 20) x^2 + x – 30 21) x^2 – 81

  2. 9x^2 – 64 23) 15x^3 – 2x^2 + 30x – 4 24) 4x^2 – 4x – 15

  3. Simplify: x x 6

x 3 x 10 2

2

  1. Multiply and simplify: x 3 x 4

2 x 14 x 4 x 21

x 4 x 2 2

2

  1. Divide and simplify: x 5 x

x 6 x 5

3 x 18 x 2

2

÷

  1. Add and simplify: (^) 2 2 x

x

  1. Subtract and simplify: x 3

x 3

4 x −