Mat 190 Test 3 Worksheet With Answers, 2007
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1
2Test 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?
They aren’t like terms._____
2) Exponents are a shortcut for repeated ___multiplication___.
3) When we have a variable with an exponent raised to another exponent, what do we do with those exponents?
3
2
(Ex: (x
)
)____multiply them____
4) In an inequality, when we multiply or divide by a negative number, what must we also do?
Change the
direction of the inequality sign.____________________
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
13
3 −
7
x
x >
-5 < x < -1
y =
3
2
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
5
2
1
y
12
28
9
21
81x
y
x
y
9
7
16
x
3
2
2
2
2
12) Add:
13) Subtract:
7 (
−
3
+
4
)
+
8 (
−
5
+
) 6
(
y 3
+
y 6
−
) 4
−
4 (
y
−
y 5
+
) 8
x
x
x
x
x
3
2
2
7x
+ 5x
– x + 6
–y
+ 11y – 12
2
3
5
3
2
5
14) Multiply: 2x
y
(3xy
– 7x
y
+ 4x
y)
15) Multiply: (2x – 5)(3x – 7)
3
8
5
5
7
4
2
6x
y
– 14x
y
+ 8x
y
6x
– 29x + 35
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