algebra 2a - unit 6: radical
equations questions and
answers 2025(passed)
lesson 25 - answer solving radical equations
why did joey use the exponent of 1/4 in line 2? -
answer joey needed to rewrite the radical as an
exponent to solve the equation, and an exponent
of 1/4 is equivalent to the fourth root of a number.
what is the value of x in the given equation? √7x-
12 = x - answer x = 3 and x = 4
find the solution(s) to the radical equation
2(4)√x^3 - 4 = 12 - answer x = 16
find the solutions to the equation (3)√x^2 = 4
choose the correct reason for each numbered
statement that is used to solve the equation. -
answer 1: given
2: rewrite the expression using a rational
exponent.
3: raise both sides of the equation to the reciprocal
exponent.
, 4: simplify
when solved correctly, the equation √-2x+12 = x-6
has solutions of x = 6 and x = 4. which, if any, of
the solutions are extraneous? - answer only x = 4
is extraneous
when solved correctly, the equation √x = 2 - x has
solutions of x = 1 and x = 4. which, if any, of the
solutions are extraneous? - answer only x = 4 is
extraneous
find the valid solution(s) to the equation x = √x+6 -
answer x = 3
find the solution(s) to the equation √7x-10 = x -
answer x = 2 and x = 5
what is the value of x in the given equation?
√2x+15 - x = 0 - answer x = 5
find the solution(s) to the equation 3√x+1 = 15 -
answer x = 24
why did phoebe use the exponent of 1/3 in line 2? -
answer phoebe needed to rewrite the radical as an
equations questions and
answers 2025(passed)
lesson 25 - answer solving radical equations
why did joey use the exponent of 1/4 in line 2? -
answer joey needed to rewrite the radical as an
exponent to solve the equation, and an exponent
of 1/4 is equivalent to the fourth root of a number.
what is the value of x in the given equation? √7x-
12 = x - answer x = 3 and x = 4
find the solution(s) to the radical equation
2(4)√x^3 - 4 = 12 - answer x = 16
find the solutions to the equation (3)√x^2 = 4
choose the correct reason for each numbered
statement that is used to solve the equation. -
answer 1: given
2: rewrite the expression using a rational
exponent.
3: raise both sides of the equation to the reciprocal
exponent.
, 4: simplify
when solved correctly, the equation √-2x+12 = x-6
has solutions of x = 6 and x = 4. which, if any, of
the solutions are extraneous? - answer only x = 4
is extraneous
when solved correctly, the equation √x = 2 - x has
solutions of x = 1 and x = 4. which, if any, of the
solutions are extraneous? - answer only x = 4 is
extraneous
find the valid solution(s) to the equation x = √x+6 -
answer x = 3
find the solution(s) to the equation √7x-10 = x -
answer x = 2 and x = 5
what is the value of x in the given equation?
√2x+15 - x = 0 - answer x = 5
find the solution(s) to the equation 3√x+1 = 15 -
answer x = 24
why did phoebe use the exponent of 1/3 in line 2? -
answer phoebe needed to rewrite the radical as an
