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Material Type: Exam; Professor: Molik; Class: MATHEMATICAL MODELING; Subject: Mathematics; University: Augusta Technical College; Term: Winter 2009;
Typology: Exams
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Test 3 MAT 1101 Winter 2009 Name ________________________
Simplify all answers and show your work!
To add and subtract fractions, they must have a _________________________________________.
Why can we not simplify 2x + 3y and further? __________________________________________
_________________________________________________________________________________.
Exponents are a shortcut for repeated ______________________________________.
When we have a variable with an exponent raised to another exponent, what do we do with those
exponents? (Ex: (x^3 )^2 )_____________________________________________________________
Combine like terms: 2xy + 3x^2 y – 12x^2 y + 17xy – 12xy
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
4 27
−
Multiply the following:
4x^2 (3x^2 y + 5xy^4 – 4xy) 15) (x – 4)(x + 7) 16) (3x – 5)(6x + 8)
(3x + 2)^2 18) (5x – 6)(x^2 – 2x + 3)
Factor the following completely:
25x^4 y^7 + 40x^3 y^5 + 35x^8 y^6 20) x^2 + x – 30 21) x^2 – 81
9x^2 – 64 23) 15x^3 – 2x^2 + 30x – 4 24) 4x^2 – 4x – 15
Simplify: x x 6
x 3 x 10 2
2
2 x 14 x 4 x 21
x 4 x 2 2
2
x 6 x 5
3 x 18 x 2
2
−
x
x 3
4 x −