Algebra Worksheets Page 5
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2
3
4
5
6
718.
What number should be added to both sides to complete the square to solve
2
x
+ 16x = 4 ?
A.
4
B.
8
C.
16
D.
64
19.
What number should be added to both sides to complete the square to solve
2
x
– 10x = 2 ?
A.
5
B.
–5
C.
25
D.
–25
20.
Which step is the first incorrect step in solving the following equation?
2
2x
+ 4x – 6 = 0
2
Step 1:
2x
+ 4x = 6
2
Step 2:
x
+ 2x = 3
2
Step 3:
x
+ 2x + 1 = 3
2
Step 4:
(x + 1)
= 3
±
Step 5:
x + 1
=
3
±
Step 6:
x = – 1
3
A.
Step 2
B.
Step 3
C.
Step 4
D.
Step 5
2
21.
Which student solved the following equation correctly? x
+ 12x = 27
Abe
Bill
2
2
x
+ 12x = 27
x
+ 12x = 27
2
x(x + 12) = 27
x
+ 12x + 36 = 27
2
x = 27 or x + 12 = 27
(x + 6)
= 27
x = 27 or
x = 15
±
x + 6 =
27
±
x = –6
3 3
Charles
Dave
2
2
x
+ 12x = 27
x
+ 12x = 27
2
2
x
+ 12x + 36 = 63
x
+ 12x –27 = 0
2
(x + 6)
= 63
(x + 3)(x + 9) = 0
x = – 3 or x = – 9
±
x + 6 =
63
±
x = –6
3 7
Algebra 2 Unit 5
5
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