Algebra Worksheets Page 4
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2
3
4
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6
7Worksheet 6
Solve each equation by completing the square.
2
2
1. x
+ 4x – 140 = 0
2. x
– 6x = -1
2
2
3. x
+ 2x + 2 = 0
4. x
– 8x = -60
Solve by completing the square.
+
=
−
+
=
−
2
2
5.
2
k
16
k
12
6.
3
x
42
x
24
−
−
=
+
+ =
2
2
7.
4
x
40
x
12 0
8.
3
s
6
s
9 0
+
+
=
2
9.
7
t
28
t
56 0
Find the value of x
10. Area of rectangle = 50
11.
Area of parallelogram = 48
x+6
x
x
x+10
Solve by completing the square.
2
2
12. 4x
– 16x – 11 = 0
13. 2x
+ 24x = -25
+
+ =
2
2
14.
5
x
10
x
7 0
15. 8x
– 48x = -135
2
16.
What is the next step in completing the square to solve x
+ 6x = 1 ?
2
A.
x
+ 6x + 3 = 1 + 3
2
B.
x
+ 6x + 9 = 1 + 9
C.
x(x + 6) = 1
2
D.
x
+ 6x – 1 = 0
2
17.
What is the next step in completing the square to solve 4x
+ 8x = 8 ?
A.
4x(x + 2) = 8
2
B.
x
+ 2x = 8
2
C.
x
+ 2x = 2
2
8
2
D.
4x
+ 8x +
= 8
2
Algebra 2 Unit 5
4
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