Test 3 Mat 190 Exponent Worksheet - 2007

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Test 3
MAT 190
Summer 2007
Name _________________________
Simplify all answers and show your work!
3
2
1) Why can’t 2x
– 4x
be combined any further? ______________________________________________
2) Exponents are a shortcut for repeated ______________________.
3) When we have a variable with an exponent raised to another exponent, what do we do with those exponents?
3
2
(Ex: (x
)
)_____________________________
4) In an inequality, when we multiply or divide by a negative number, what must we also do? ______________
________________________________________________________________________________________
x 2 +
7
-1
5) Solve the inequality:
6) Solve the inequality:
7) If f(x) =
, find the inverse (f
(x)).
3
5(x – 4) + 2x > 4x – 7
–3 < 2x + 7 < 5
Simplify the following:
4
3
x 4
y
(
)
4
-5
3
3
7
5
8
4
13
8)
x 3
y
9)
10) 4
• 4
11)
x
y
x
y
5
2
14
x
y
3
2
2
2
2
12) Add:
7 (
3
+
4
)
+
8 (
5
+
) 6
13) Subtract:
(
y 3
+
y 6
) 4
(
y 4
y 5
+
) 8
x
x
x
x
x
2
3
5
3
2
5
14) Multiply: 2x
y
(3xy
– 7x
y
+ 4x
y)
15) Multiply: (2x – 5)(3x – 7)

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