Unit 3 Lesson 2 & 3 Quiz
Name:__________________
Form C
1. Solve each equation and write the solutions in standard complex form a + bi
a. 𝑥 2 + 49 =0
b. −𝑥 2 + 2𝑥 − 2 = 0
c. 6𝑥 2 − 8𝑥 = −3
2. Rewrite each expression in a + bi form.
a. (4 + 3i) + (5 – 5i)
b. (–3 – i) – (5 + i)
c. (5 + 7i)(5 – 7i)
d. (–2 + 2i)(5 + 6i)
e. (5 + 2i) ÷ (8 + 2i)
3. You have an vinegar solution for cleaning windows that is made from 10 gallons of water
and two gallons of vinegar. You add an additional x gallons of vinegar to the solution to
make it a stronger solution.
a. If you were to add 4 gallons of vinegar, what percent of the solution would be
vinegar? Explain your reasoning.
𝑥+2
b. Explain why the function f(x) = 𝑥+12
gives the decimal value for the percent of the
solution that is vinegar.
c. Identify the horizontal asymptote of f(x) and explain what it tells you about the
solution.
d. How many gallons of vinegar should you add if you want the solution to be 40%
vinegar? Explain your reasoning.
4. Identify any vertical, horizontal or oblique asymptotes of each function.
a. y 
2x  2
3x  1
b. y 
2 x2  x  4
x 1
5. Write each expression as a single algebraic fraction in simplified form.
a.
3
5

x  2 x 1
b.
6x
3

5 x7
x2  9
x
c.
*
x 5 x 3
d.
10 x
x
 2
x  6 x  9 x  18
6. Solve each equation or inequality.
a.
x2  x  6
0
x2  3
b.
4
5

0
x 1 x 1
x 2  81
0
c.
x 3