AnswersAlgebra IISolving Equations Containing Two Radicals

Pretest Answers

10 verified answers2 views
2
Free Preview

What is the solution to the equation cube root of 5 x minus 4 is equal to cube root of 7 x plus 8 ?

A
x is equal to 1
B
x is equal to negative 6
C
x is equal to 2
D
x is equal to negative 1
3

Which equation shows a valid, practical step in solving 4th root of 2 x minus 8 plus 4th root of 2 x plus 8 is equal to 0 ?

A
open paren 4th root of 2 x minus 8 close paren cubed is equal to negative open paren 4th root of 2 x plus 8 close paren cubed
B
open paren 4th root of 2 x minus 8 close paren to the 4th power is equal to negative open paren 4th root of 2 x plus 8 close paren to the 4th power
C
open paren 4th root of 2 x minus 8 close paren cubed is equal to open paren negative 4th root of 2 x plus 8 close paren cubed
D
open paren 4th root of 2 x minus 8 close paren to the 4th power is equal to open paren negative 4th root of 2 x plus 8 close paren to the 4th power
4

Which statement describes a process to solve square root of b plus 20 end root minus square root of b is equal to 5 ?

A
Add a constant term to both sides and square both sides twice.
B
Add a radical term to both sides and square both sides only once.
C
Add a constant term to both sides and square both sides only once.
D
Add a radical term to both sides and square both sides twice.
5

What is the solution to the equation cube root of x plus 4 plus cube root of 2 x plus 8 is equal to 0 ?

A
x is equal to negative 4
B
x is equal to 4
C
x is equal to 12
D
x is equal to negative 12
6

Which equation results from isolating a radical term and squaring both sides of the equation for the equation square root of c minus 2 end root minus square root of c is equal to 5 ?

A
c minus 2 is equal to 25 plus c plus 10 square root of c
B
c minus 2 is equal to 25 minus c
C
c minus 2 is equal to 25 plus c minus 10 square root of c
D
c minus 2 is equal to 25 plus c
7

What is the solution to the equation cube root of m minus 4 minus cube root of 2 m plus 8 is equal to 0 ?

A
m is equal to negative 6
B
m is equal to negative 12
C
m is equal to negative 4
D
m is equal to negative 24
8

Two possible solutions of square root of 11 minus 2 x end root is equal to square root of x squared plus 4 x plus 4 end root are negative 7 and 1 Which statement is true?

A
Only x is equal to negative 7 is an extraneous solution.
B
Only x is equal to 1 is an extraneous solution.
C
Both solutions are extraneous.
D
Neither solution is extraneous.
9

Which of the following occurs within the solution process for cube root of 5 x minus 2 minus cube root of 4 x is equal to 0 ?

A
cubing both sides once
B
squaring both sides twice
C
cubing both sides twice
D
squaring both sides once

Did you find these answers helpful?