Algebra 2 Chapter 5 Algebraic Manipulation Worksheet
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1
2Algebra 2
Chapter 5 Review Sheet
Graph:
Simplify:
2
=
−
+
− 192
1.
y
x
2
x
3
12.
− −
− − −
13.
4 7
i
8 6
i
2
=
−
+
2.
y
x
4
x
4
14. Multiply: − +
−
2
3 7 8 7
i
i
=
+
+
3.
y
x
6
x
5
Determine whether the given quadratic function has a
−
2 8
i
15. Divide:
maximum or a minimum value, then find the value:
− −
4 2
i
2
= −
+
+
4.
f x
4
x
x
7
Solve by completing the square:
2
2
= −
−
+
5.
f x
2
x
x
4
−
− =
16.
x
4
x
1 0
2
Find the real roots of the equation by graphing:
−
− =
17.
x
10
x
2
0
2
=
−
−
6.
y
2
x
2
x
4
2
+
+
=
18. Solve: x
2
x
10 0
2
=
−
+
7.
y
2
x
12
x
18
Solve by using the quadratic formula:
2
−
− =
19.
3
x
4
x
2
0
2
=
−
+
8.
y
4
x
2
x
3
2
+
− =
20.
3
x
4
x
5 0
Estimate the solutions to 3 decimal places.
9. Find the consecutive integers between which the roots
Find the discriminant and determine the number and kind of
2
−
−
=
of the given equation are located: 4
x
4
x
19
0
roots:
2
−
+ =
21.
3
x
6
x
3 0
Solve by factoring:
2
−
=
10.
4
x
17
x
15
2
−
−
=
22.
2
x
4
x
16 0
2
−
=
11.
4
x
11
x
3
−
=
2
2
x
2
x
3
23.
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