Test 3
MAT 1101
Spring 2009
Name ________________________
Simplify all answers and show your work!
1) When we have a variable with an exponent raised to another exponent, what do we do with those
3
2
exponents? (Ex: (x
)
)_____________________________________________________________
2) To add and subtract fractions, they must have a _________________________________________.
3 ) Exponents are a shortcut for repeated ______________________________________.
4) Why can we not simplify 4x – 5y any further? __________________________________________
_________________________________________________________________________________.
2
2
5) Combine like terms: 4x
– 5x + 3x – 2x
+ 9 + 12
4
4
2
2
6) Add: (5x
7) Subtract: (8x
+ 3x + 8) + (6x
+ 21x – 5)
– x – 5) – (4x
– 5x + 6)
Simplify the following:
3
3
2
5
7
−
25
2
x
y
x
y
2
6
4
−
−
8)
9)
10)
3 (
)
x
y
4
5
2
9
−
15
x
y
x
y
5
−
4
– 3
5
– 1
8
7
11
−
2
11)
4
12) 2
• 5
• 5
• 2
13)
•
•
x
x
x
Multiply the following:
2
2
3
3
2
14) 3x
y(2xy
– 3x
y
+ xy)
15) (2x – 3)(3x + 2)
16) (3x – 4)(2x
+ 5x + 7)