Mat 1101 (Summer 2010) - Simplifying Numerical Expressions Worksheet

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Test 3
MAT 1101
Summer 2010
Name ________________________
Simplify all answers and show your work!
1) Exponents are a shortcut for repeated ______________________________________.
2
4
2) Why can we not simplify 3x
– 7x
any further? ___________________________________________
____________________________________________________________________________________
3) When we have a variable with an exponent raised to another exponent, what do we do with those
4
6
exponents? (Ex: (x
)
)________________________________________________________________
4) To add and subtract fractions, they must have a ___________________________________________.
3
2
3
5) Combine like terms: 5x
+ 2x – 4x
– 6x + 7x
___________________________________________
2
2
2
2
6) Add: (6x
+ 4x – 9) + (3x
– 11x – 2)
7) Subtract: (17x
– 3x – 9) – (11x
– 4x + 15)
Simplify the following:
4
(
)
2
4
3
2
7
12
3
x
y
x
y
11
8
3
3
9)
10)
11)
8)
27
x
x
x
8
2
2
15
x
x
y
2
2
2
+
3
10
+
+
3
40
x
x
x
x
x
x
12) Simplify:
13) Multiply and simplify:
2
2
+
1
5
+
6
12
+
35
x
x
x
x
x
14) Determine if “factoring by grouping” can be used on the following expressions. Justify your answer.
3
2
2
7
9
4
3
3
5
a) 4x
– 2x
+ 16x + 8
b) 8x
y
– 3xy
– 18x
y
+ 7x
y

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