AnswersCommon Core Math III ACompleting The Square

Solving Quadratic Equations: Completing the Square (Continued) Answers

18 verified answers
1
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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.
5

Complete the steps for solving 7 = –2x2 + 10x.

Answers:
Factor out of the variable terms.:–2
inside the parentheses and on the left side of the equation.:Add 25/4
inside the parentheses and on the left side of the equation.:subtract 25/2
Add to both sides.:5/2
6

✔ Add 4Add 16Subtract 4Subtract 16

Answers:
inside the parentheses and .:Add 4
inside the parentheses and .:subtract 24 from 5
The two solutions are .:2
7

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
8

–2–1 1✔ 2

A
–2
B
–1
C
1
D
✔ 2
9

Complete the steps for solving 7 = –2x2 + 10x.

Answers:
Factor out of the variable terms.:–2
inside the parentheses and on the left side of the equation.:Add 25/4
inside the parentheses and on the left side of the equation.:subtract 25/2
Add to both sides.:5/2
10

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

A
Subtract 25/2
B
Add 25/2
C
Subtract 25/4
D
✔ Add 25/4
11

✔ 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
12

–5/2–11/2✔ 5/211/2

A
–5/2
B
–11/2
C
✔ 5/2
D
11/2
13

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 [image 1] = (x + 6)2 [image 2] = (x + 3)2

Question illustration
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
Option E
F
= (x + 3)2
Option F
17

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

Question illustration
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
Option G
18

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

A
x = –2 + [image 1] or x = –2 – [image 2]
Option A
B
x = 2 + [image 1] or x = 2 – [image 2]
Option B
C
x = –2 + [image 1] or x = –2 – [image 2]
Option C
D
x = 2 + [image 1] or x = 2 – [image 2]
Option D

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