Algebraic Manipulation Worksheet With Answer Key Page 2
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1
2
3PART II - ELEMENTARY ALGEBRA
−
1. Perform the indicated operations: -2(5 - 7) - 6
2
3 (
x
)
−
=
8. Solve:
5
0
4
at
9. Express as a single fraction in simplest form:
2. Express as a single fraction in simplest form:
a
−
a
x
2x
+
2y
-
r
2
4y
3
1
2
5
+
=
−
10. Solve:
4
3
x
x
12
3. Solve: 3 - 2(x + 4) = x
11. In right triangle BCA, find side b when the
hypotenuse c = 4 and side a = 3.
3x
4. Solve:
- 5
=
2x
4
2
12. Factor completely:
2x
- 128
13. A pharmacist found that she had 8 more prescriptions
5
5. Solve for F:
C
=
(F
-
32)
for antibiotics than she had for tranquilizers. She had
9
64 prescriptions altogether for these two types of
drugs. How many did she have for tranquilizers?
−
−
−
6
4
5 (
) 7
6. Perform the indicated operations:
−
2
x
=
14. Solve for x:
y
3 − 2(x − 4) = x
−
7. Solve:
1
x
PART III - INTERMEDIATE ALGEBRA
1. Rationalize the denominator and simplify:
3. Solve this system of equations:
2x - y = 4
3x - 2y = 1
8
+
3
2
5
3
4. Solve:
3
x
x -
=
2
3
5
3
2. Express in simplest form: ( x
y
)
2
2
5. Factor: 4x
– 9y
2.
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