Mat 1101 Test 3 Worksheet - 2010
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1
2Test 3
MAT 1101
Spring 2010
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
2
7
exponents? (Ex: (x
)
)________________________________________________________________
2) To add and subtract fractions, they must have a ___________________________________________.
2
3
3) Why can we not simplify 4x
+ x
any further? ___________________________________________
____________________________________________________________________________________
4) Exponents are a shortcut for repeated ______________________________________.
2
2
5) Combine like terms: 3x
– 5x + 2x
+ 8x – 7 – 4x ________________________________________
2
2
2
2
6) Add: (3x
– 5x + 4) + (8x
+ 2x – 9)
7) Subtract: (4x
+ x – 4) – (16x
+ 5x – 11)
Simplify the following:
3
5
−
3
5
4
6
−
−
−
4
6
x
y
x
y
5
3
9
−
−
3
8)
9)
8
10)
11)
•
•
x
x
x
9
2
−
−
3
14
x
x
y
2
2
5
14
4
12
4
+
−
−
−
+
x
x
x
x
x
12) Simplify:
13) Multiply and simplify:
•
2
2
6
−
3
2
8
12
32
x
−
−
+
+
x
x
x
x
Multiply the following:
3
3
7
2
4
4
2
14) 4x
y (5x
y
–x
y – 6x
y
)
15) (4x – 3)(2x – 7)
16) (x – 3)(7x
+ 3x + 2)
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