Name: 
 

04-02 Sample Quiz - Solving Radical Equations & Inequalities



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Solve the equation for x.

mc001-1.jpg


a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 

Solve the equation for x.

mc002-1.jpg


a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
No Solution
 

 3. 

Completely solve the following equation for x.

  mc003-1.jpg


a.
x = – 4
c.
x = – 2 or  x = – 4
b.
x = 2
d.
x = 4 or x = 2
 

 4. 

Evan is attempting to solve the following radical equation:

mc004-1.jpg

Here is Evan’s work:
mc004-2.jpg

Is his work correct or did he make an error.
a.
Evan’s work is correct.
b.
Evan forgot to put a ± symbol on Step #2.
c.
Evan didn’t square 4 correctly on Step #2.
d.
Evan should have subtracted 3 from both sides on Step #3.
 

 5. 

Solve the radical inequality.

mc005-1.jpg


a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
No Solution
 

 6. 

Below are the steps Hope uses to solve a radical equation. Does Hope do the problem correctly or in which step did she make an error?

Equation: mc006-1.jpg

mc006-2.jpg
a.
In Step 1, Hope should have taken the square root of both sides
b.
In Step 4, Hope didn’t factor correctly.
c.
Hope didn’t verify her answers in Step #5. One solution is extraneous.
d.
Hope did the problem correctly. The answer is x = – 6 or  x = 2.
 

 7. 

Which graph below represents all of the possible values for x that make the following statement true?

mc007-1.jpg


a.
mc007-2.jpg
b.
mc007-3.jpg
c.
mc007-4.jpg
d.
mc007-5.jpg
 



 
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