Mat 1101 Test 3 Worksheet With Answers - 2009
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1
2Test 3
MAT 1101
Fall 2009
Name ________________________
Simplify all answers and show your work!
1) To add and subtract fractions, they must have a _common denominator_.
2) When we have a variable with an exponent raised to another exponent, what do we do with those
3
5
exponents? (Ex: (x
)
) _______Multiply them.________________________ _________.
3) Exponents are a shortcut for repeated ______ multiplication_________.
2
4) Why can we not simplify 3x
+ 2y any further? _____They’re not like terms.______________
2
2
2
5) Combine like terms: 5y – 7y
+ 9 + 11 – 8y + 3y
___–4y
– 3y + 20_______
3
2
3
2
2
2
6) Add: (4x
7) Subtract: (12x
+ 5x
– 8) + (2x
– 9x
– 7)
– 3x + 9) – (14x
– 3x – 14)
3
2
2
6x
– 4x
– 15
–2x
+ 23
Simplify the following:
2
3
−
5
8
7
4
−
−
−
42
x
y
x 7
y
4
9
2
−
−
4
8)
9)
y
y
y
10)
11)
16
•
•
7
6
−
−
2
12
x
y
14
2
16
7
1
4
1
x
y
y
7
10
2
8
49
y
x
2
2
x
x 4
21
x
x 3
10
x
3
+
−
−
−
+
12) Simplify:
13) Multiply and simplify:
•
2
2
x
5
−
x 2
17
x
21
x
x 7
12
+
+
+
+
3
2
−
+
x
x
2
3
4
+
+
x
x
Multiply the following:
2
4
5
3
2
6
8
9
2
14) 3x
y
(2x
y
+5x
y
– 7x
y
)
15) (4x – 5)(3x – 4)
16) (3x + 7)(2x
+ 4x – 9)
7
7
4
10
10
13
2
3
2
6x
y
+ 15x
y
– 21x
y
12x
– 31x + 20
6x
+ 26x
+ x – 63
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