Test 3 MAT 1101 Winter 2009 Name ________________________
Simplify all answers and show your work!
1) To add and subtract fractions, they must have a __common denominator____.
2) Why can we not simplify 2x + 3y and further? Because 2x and 3y aren’t like terms._
3) Exponents are a shortcut for repeated ___multiplication_______.
4) When we have a variable with an exponent raised to another exponent, what do we do with those
exponents? (Ex: (x3)2 )____We multiply the exponents._____
5) Combine like terms: 2xy + 3x2y – 12x2y + 17xy – 12xy 7xy – 9x2y
6) Add: (4x3 + 5x2 – 7) + (8x3 – 11x2 + 9) 7) Subtract: (7x2 – 2x – 8) – (3x2 – x + 5)
12x3 – 6x2 + 2 4x2 – x – 13
Simplify the following:
8) 75
62
yx16
yx4
−
−
9)
3
35
24
yx2
yx3
10) 324 )yx4( −−
y
x
4
3
33
8
27
yx
12
6
64
x
y
11) 3
4
27
−
12) 4 3 • 3 – 2 • 4 – 1 • 3 4 13) 1276
x
x
x
•
•
−
81
1 144 x11
Multiply the following:
14) 4x2(3x2y + 5xy4 – 4xy) 15) (x – 4)(x + 7) 16) (3x – 5)(6x + 8)
12x4y + 20x3y4 – 16x3y x2 + 3x – 28 18x2 – 6x – 40
17) (3x + 2)2 18) (5x – 6)(x2 – 2x + 3)
9x2 + 12x + 4 5x3 – 16x2 + 27x – 18
