AnswersAlgebra III ASolving Quadratic Equations: Completing the Square (Continued)

Solving Quadratic Equations: Completing the Square (Continued) Answers

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What error did Penelope make in her work?

A
Penelope should have subtracted 1 from both sides instead of adding 1.
B
Penelope should have subtracted 4 from both sides instead of adding 1.
C
Penelope should have added 4 to both sides instead of adding 1.
D
Penelope should have subtracted 8 from both sides instead of adding 1.
82195

Add 4Add 16Subtract 4Subtract 16

A
Add 4
B
Add 16
C
Subtract 4
D
Subtract 16
82196

add 4 to 5 add 24 to 5 subtract 4 from 5 subtract 24 from 5

A
add 4 to 5
B
add 24 to 5
C
subtract 4 from 5
D
subtract 24 from 5
82199

–2–125

A
–2
B
–1
C
2
D
5
82200

Subtract 25/2Add 25/2Subtract 25/4Add 25/4

A
Subtract 25/2
B
Add 25/2
C
Subtract 25/4
D
Add 25/4
82201

subtract 25/2add 25/2subtract 25/4add 25/4

A
subtract 25/2
B
add 25/2
C
subtract 25/4
D
add 25/4
82202

–5/2–11/25/211/2

A
–5/2
B
–11/2
C
5/2
D
11/2
83527

–2–1 12

A
–2
B
–1
C
1
D
2
83528

Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.18 + 81 = 9(x2 + 6x + 9)18 + 9 = 9(x2 + 6x + 9)18 + 36 = 9(x2 + 6x + 36)11 = (x + 3)2 StartRoot 342 EndRoot = (x + 6)2 StartRoot 99 EndRoot = (x + 3)2

A
18 + 81 = 9(x2 + 6x + 9)
B
18 + 9 = 9(x2 + 6x + 9)
C
18 + 36 = 9(x2 + 6x + 36)
D
11 = (x + 3)2
E
= (x + 6)2
F
= (x + 3)2
83529

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.3 = 5(x2 + 2x)3 = 5x2 – 10x4 = 5(x2 – 2x + 1)8 = 5(x2 – 2x + 1)3 = 5(x – 1)24 = 5(x – 1)2 StartFraction 8 Over 5 EndFraction = (x – 1)2

A
3 = 5(x2 + 2x)
B
3 = 5x2 – 10x
C
4 = 5(x2 – 2x + 1)
D
8 = 5(x2 – 2x + 1)
E
3 = 5(x – 1)2
F
4 = 5(x – 1)2
G
= (x – 1)2
83530

What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?

A
x = –2 + or x = –2 –
B
x = 2 + or x = 2 –
C
x = –2 + or x = –2 –
D
x = 2 + or x = 2 –

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