Test 3 Mat 1101 Worksheet With Answers - 2009

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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
)
)____Multiply them.__________________________________________
2) To add and subtract fractions, they must have a __Common denominator_.
3 ) Exponents are a shortcut for repeated ____multiplication_____.
4) Why can we not simplify 4x – 5y any further? ___Because they are not like terms.
___
_________________________________________________________________________________.
2
2
2
5) Combine like terms: 4x
– 5x + 3x – 2x
+ 9 + 12
2x
– 2x + 21
4
4
2
2
6) Add: (5x
7) Subtract: (8x
+ 3x + 8) + (6x
+ 21x – 5)
– x – 5) – (4x
– 5x + 6)
4
2
11x
+ 24x + 3
4x
+ 4 x – 11
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
7
9
8
5
8
y
x
x
7
6
24
3
81y
x
y
5
4
– 3
5
– 1
8
7
11
11)
4
2
12) 2
• 5
• 5
• 2
13)
x
x
x
1
4
200
x
32
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)
3
3
5
4
3
2
2
3
2
6x
y
– 9x
y
+ 3x
y
6x
– 5x – 6
6x
+ 7x
+ x – 28

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