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Trig Section 8.1 Quiz

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

 1. 
Write the expression mc001-1.jpg in terms of i.
a.
mc001-2.jpg
b.
mc001-3.jpg
c.
mc001-4.jpg
d.
mc001-5.jpg
e.
mc001-6.jpg
 

 2. 
Write the expression mc002-1.jpg in terms of i and then simplify.
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 
Find x and y (real numbers) so that the equation is true.

mc003-1.jpg
a.
x = - 2 or 5, y = 3
b.
x = - 4 or 5, y = 1
c.
x = - 4 or 6, y = 3
d.
x = - 2 or 6, y = 1
e.
x = - 4 or 6, y = 1
 

 4. 
Find all x and y between 0 and mc004-1.jpg so that the equation is true.

mc004-2.jpg
a.
x = mc004-3.jpg or mc004-4.jpg, y = mc004-5.jpg
b.
x = mc004-6.jpg, y = mc004-7.jpg
c.
x = mc004-8.jpg or mc004-9.jpg, y = mc004-10.jpg
d.
x = mc004-11.jpg or mc004-12.jpg, y = mc004-13.jpg
e.
x = mc004-14.jpg or mc004-15.jpg, y = mc004-16.jpg
 

 5. 
Combine the complex numbers.

(10 - 8i) - (8 - 6i)
a.
2 - 3i
b.
2 - 2i
c.
3 - 3i
d.
2 + 2i
e.
3 - 2i
 

 6. 
Simplify the power of i.

mc006-1.jpg
a.
i
b.
1
c.
- 1
d.
0
e.
- i
 

 7. 
Let mc007-1.jpg and mc007-2.jpg and find mc007-3.jpg.
a.
61 - 60i
b.
61
c.
59
d.
59 - 60i
e.
57
 

 8. 
Is mc008-1.jpg a solution to the equation mc008-2.jpg?
a.
no
b.
yes
 

 9. 
Read the method of solving the system of equations.

mc009-1.jpg

Solving the first equation for y, we have y = 10 - x. Substituting this value of y into the second equation, we have

x(10 - x) = 40

The equation is quadratic. We write it in standard form and apply the quadratic formula.

mc009-2.jpg
mc009-3.jpg
mc009-4.jpg
mc009-5.jpg
mc009-6.jpg
mc009-7.jpg
mc009-8.jpg

mc009-9.jpg

Use the method shown above to solve the system of equations.

mc009-10.jpg
a.
mc009-11.jpg
b.
mc009-12.jpg
c.
mc009-13.jpg
d.
mc009-14.jpg
e.
mc009-15.jpg
 

 10. 
If z is a complex number then the sum of z and its conjugate is an imaginary number.
a.
true
b.
false
 



 
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