Completing The Square — Unit test Answers

0 verified answers
1
Free Preview

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
2
Free Preview

Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

A
x = –2 – and x = –2 +
Option A
B
x = –2 – and x = –2 +
Option B
C
x = 2 – and x = 2 +
Option C
D
x = 2 – and x = 2 +
Option D
3

What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
4

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

A
5(x2 + 8x + 16) = 30
B
5(x2 + 8x + 16) = 94
C
5(x2 + 8x + 4) = 18
D
5(x2 + 8x + 4) = 34
5

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

A
8 inches by 8 inches
B
9 inches by 9 inches
C
12 inches by 12 inches
D
13 inches by 13 inches
6

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.

Question illustration
A
5(x2 + 4x + 4) = –7 + 20
B
x + 2 =
Option B
C
5(x2 + 4x) = 7
D
5(x2 + 4x + 4) = 7 + 20
E
5(x2 + 4x) = –7
7

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

A
x = –3 or x = –2
B
x = –3 or x = 2
C
x = –2 or x = 3
D
x = 2 or x = 3
8

What are the solutions to the quadratic equation 4(x + 2)2 = 36

A
x = −11 and x = 7
B
x = −7 and x = 11
C
x = −5 and x = 1
D
x = −1 and x = 5
9

Mariya is solving the quadratic equation by completing the square.4x2-20x+3=04x2-20x=-3A(x2-5x)=-3

A
-20
B
3
C
4
D
5
10

What is the greatest possible integer value of x for which is an imaginary number?

Question illustration
A
3
B
4
C
5
D
6
11

Which point shows the location of 5 – 2i on the complex plane below?

Question illustration
A
point A
B
point B
C
point C
D
point D
12

What are the values of x in the equation x2 – 6x + 9 = 25?

A
x = –2 or x = 8
B
x = –1 or x = –11
C
x = 1 or x = 11
D
x = 2 or x = –8
13

Solve for in the equation .

Question illustration
A
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
Option A
B
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
Option B
C
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option D
14

What is the value of i 20+1?

A
1
B
–1
C
–i
D
i
15

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

A
x = or x = 2
Option A
B
x = –2 or x =
Option B
C
x = or x = 1
Option C
D
x = 1 or x =
Option D

Did you find these answers helpful?