AnswersTX-Algebra II B-CRUnit Test

Solving Equations Containing Two Radicals Answers

12 verified answers2 views
1
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What is the solution to the equation ?

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A
x = –6
B
x = –1
C
x = 1
D
x = 2
2
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What is the solution to the equation ?

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A
m = –24
B
m = –12
C
m = –6
D
m = –4
3

Which statement describes how to solve ?

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A
Square both sides and then solve the resulting quadratic equation.
B
Square both sides and then solve the resulting cubic equation.
C
Cube both sides and then solve the resulting quadratic equation.
D
Cube both sides and then solve the resulting cubic equation.
4

Which equation shows a valid, practical step in solving ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which statement describes a process to solve ?

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A
Add a radical term to both sides and square both sides only once.
B
Add a constant term to both sides and square both sides only once.
C
Add a radical term to both sides and square both sides twice.
D
Add a constant term to both sides and square both sides twice.
6

Two possible solutions of are –7 and 1. Which statement is true?

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A
Only x = –7 is an extraneous solution.
B
Only x = 1 is an extraneous solution.
C
Both solutions are extraneous.
D
Neither solution is extraneous.
7

What is the solution to the equation ?

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A
x = –12
B
x = –4
C
x = 4
D
x = 12
8

Which statement about is true?

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A
x = –3 is a true solution.
B
x = –3 is an extraneous solution.
C
x = 9 is a true solution.
D
x = 9 is an extraneous solution.
9

What is the solution to the equation ? Assume the range is all real numbers.

Question illustration
A
x = –6
B
x = 5
C
x = 6, x = –5
D
x = –6, x = 5
10

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

What is the solution to the equation ?

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A
n = 2
B
n = 4
C
n = 7
D
n = 14
12

What is the solution to the equation ?

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A
x = –1, x = 11
B
x = –1
C
x = 11
D
no solution
13

What is the solution to the equation ?

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A
x = 1
B
x = 6
C
x = 12
D
x = 24
14

Which comparison of the two equations is accurate?Equation A: Equation B:

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A
Both equations have different solutions because the square root of a number is not the same as the cube root of a number.
B
Both equations result in different equations after eliminating the radicals, so they have the different solutions.
C
Both equations have the same potential solutions, but equation A might have extraneous solutions.
D
Both equations have the same potential solutions, but equation B might have extraneous solutions.
15

Which table represents points on the graph of h(x) = ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

Which is the graph of the function f(x) = x3 – x2 – 17x – 15?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

The graph shows a vertical translation of y = .

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{
{y|y < 0}
{
{y|y ≥ 0}
{
{y|y is a natural number}
{
{y|y is a real number}
18

Which statement about is true?

Question illustration
x
x = 4 is a true solution.
x
x = 4 is an extraneous solution.
x
x = 9 is a true solution.
x
x = 9 is an extraneous solution.
19

best

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T
The domains of g(x) and f(x) are the same, but their ranges are not the same.
T
The ranges of g(x) and f(x) are the same, but their domains are not the same.
T
The ranges of g(x) and f(x) are the same, and their domains are also the same.
T
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
20

What are the solutions to the equation ?

Question illustration
x
x = –6, x = –5
x
x = –6, x = 5
x
x = –5, x = 6
x
x = 5, x = 6

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