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Per 3 Unit 4 Solving Real and Complex Quadratic Equations Practice Test (2/6/2026)

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Last updated about 4 hours ago
12 questions

Simplifying Negative Square Roots

Required
20
Question 1
1.
Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution
_______
2nd Solution
_______

Adding and Subtracting Complex Numbers

Required
20
Question 2
2.

Simplify this expression.


Final answers must be in a + bi form.

Multiplying Complex Numbers

Required
20
Question 3
3.

Simplify this expression.


Final answers must be in a + bi form.

Quadratic Equations with Imaginary Solutions

Required
20
Question 4
4.
Solve using the square roots method.

Solution 1_______

Solution 2 _______

Write the answer in simplest radical form. (no decimals)

Quadratic Equations with Complex Solutions

Required
20
Question 5
5.
Solve using the square roots method.

Solution 1_______
Solution 2 _______

Write the answer in simplest radical form. (no decimals)

Finding the discriminant


Required
10
Question 6a
6a.

Required
10
Question 6b
6b.
Required
10
Question 6c
6c.
Required
20

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula




Required
20
Question 7
7.

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula




Required
20
Question 8
8.

Word Problems

Involving Quadratic Equations

Required
80
Question 9
9.
Given the diagram below, if the area of the shaded region is 78 ft², what are the
dimensions of the inside rectangle?


Write an expression that represents the area of the unshaded area.
_______
Write an expression that represents the area of the larger rectangle.
_______

Write an equation for the area of the shaded region.
_______

What is the length of x?
_______ ft
Now that you converted the quadratic equation into standard form, what are the coefficients?


Find
a=_______
b=_______
c=_______

What is the discriminant?
b² - 4ac=_______
Because the value of the discriminant was __________, that means the quadratic equation will have ____________________ solutions.
Question 6d
6d.
Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1
x=_______
solution 2
x=_______
Solve this quadratic equation. You may use any method covered in this unit.


Convert this quadratic equation to standard form:
_______

Use the cofficients to find:
a_______
b_______
c_______

Find the solution(s)
(If the equation only has one answer, then enter it in both boxes.)


Solution 1:
_______

Solution 2:
_______
Solve this quadratic equation. You may use any method covered in this unit.


Convert this quadratic equation to standard form:
_______

Use the cofficients to find:
a_______
b_______
c_______

Find the solution(s)
(If the equation only has one answer, then enter it in both boxes.)


Solution 1:
_______

Solution 2:
_______