AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Radical Equations and Extraneous Roots

Radical Equations and Extraneous Roots — Unit test Answers

15 verified answers3 views
1
Free Preview

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

Question illustration
A
2 feet
B
4 feet
C
11 feet
D
19 feet
2
Free Preview

What is the following product? Assume

Question illustration
A
x StartRoot x EndRoot
Option A
B
RootIndex 12 StartRoot x Superscript 5 EndRoot
Option B
C
x (RootIndex 12 StartRoot x Superscript 5 EndRoot)
Option C
D
x6
3

Pam’s eye-level height is 324 ft above sea level, and Adam’s eye-level height is 400 ft above sea level. How much farther can Adam see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

Question illustration
A
1 mi
B
mi
Option B
C
19 mi
D
mi
Option D
4

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
5

What is the solution of ?

Question illustration
A
x = –10
B
x = 3
C
x = –10 or x = 3
D
no solution
6

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters?

Question illustration
A
m
Option A
B
m
Option B
C
m
Option C
D
m
Option D
7

What is the following product? Assume

Question illustration
A
6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option A
B
6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option B
C
6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot
Option C
D
3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
Option D
8

What is the following sum?

Question illustration
A
6 b squared (RootIndex 3 StartRoot 2 a EndRoot)
Option A
B
12 b squared (RootIndex 3 StartRoot 2 a EndRoot
Option B
C
6 b squared (RootIndex 6 StartRoot 2 a EndRoot)
Option C
D
12 b squared (RootIndex 6 StartRoot 2 a EndRoot)
Option D
9

Which function represents the following graph?

Question illustration
A
y = StartRoot x minus 3 EndRoot + 3
Option A
B
y = StartRoot x + 3 EndRoot + 3
Option B
C
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
Option C
D
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Option D
10

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function has an inflection point at (0, negative 2).
Option A
B
On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)
Option B
C
On a coordinate plane, a cubic function has an inflection point at (0, 2).
Option C
D
On a coordinate plane, a cubic function has an inflection point at (2, 0).
Option D
11

What is the simplified form of the following expression?

Question illustration
A
StartRoot 3 EndRoot
Option A
B
9 StartRoot 3 EndRoot
Option B
C
11 StartRoot 3 EndRoot
Option C
D
15 StartRoot 3 EndRoot
Option D
12

What is the following simplified product? Assume

Question illustration
A
3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
Option A
B
3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot
Option B
C
3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot
Option C
D
3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
Option D
13

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.
Option A
B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.
Option C
D
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Option D
14

Which function has a domain of and a range of ?

Question illustration
A
y = StartRoot x minus 5 EndRoot + 3
Option A
B
y = StartRoot x + 5 EndRoot minus 3
Option B
C
y = negative StartRoot x minus 5 EndRoot + 3
Option C
D
y = negative StartRoot x + 5 EndRoot minus 3
Option D
15

What is the following product?

Question illustration
A
6 StartRoot 2 EndRoot minus 2 StartRoot 30 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option A
B
6 StartRoot 3 EndRoot minus 6 StartRoot 5 EndRoot
Option B
C
3 StartRoot 2 EndRoot minus StartRoot 22 EndRoot + 2 StartRoot 3 EndRoot minus 4
Option C
D
2 StartRoot 3 EndRoot + 6 minus 2 StartRoot 15 EndRoot
Option D

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Radical Equations and Extraneous Roots — Unit…