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A mathematics test focusing on algebra concepts, including simplifying expressions, adding and subtracting fractions, exponents, and multiplying and factoring expressions. Students are required to show their work.
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Test 3 MAT 1101 Spring 2009 Name ________________________
Simplify all answers and show your work!
exponents? (Ex: (x^3 )^2 )_____________________________________________________________
3 ) Exponents are a shortcut for repeated ______________________________________.
_________________________________________________________________________________.
Combine like terms: 4x^2 – 5x + 3x – 2x^2 + 9 + 12
Add: (5x^4 + 3x + 8) + (6x^4 + 21x – 5) 7) Subtract: (8x^2 – x – 5) – (4x^2 – 5x + 6)
Simplify the following:
3 2
15
−
−
x y
x y
3
2 9
x y
x y
5 4
−
Multiply the following:
Factor the following completely:
12x^3 y^4 + 36x^5 y^6 + 48x^4 y^5 18) x^2 – 12x – 28 19) x^2 – 64
12x^3 – 6x^2 + 10x – 5 21) 2x^2 – 7x – 30
Simplify: 3 6
x
x x
x x x x
x x 2
2
2
2
x
x x x
x x
x x
x − x