Twa kɔ nsɛm atitiriw so
Log in
Sign up for FREE
arrow_back
Laabri

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

star
star
star
star
star
Last updated 5 months ago
12 Nsɛmmisa

Simplifying Negative Square Roots

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

1st Solution

2nd Solution

Adding and Subtracting Complex Numbers

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Simplify this expression.

Final answers must be in a + bi form.

Multiplying Complex Numbers

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Simplify this expression.

Final answers must be in a + bi form.

Quadratic Equations with Imaginary Solutions

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
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

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve using the square roots method.

Solution 1

Solution 2

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

Finding the discriminant

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
6a.

Put this quadratic equation in Standard Form:

Ɛhia
10
Asemmisa {{asɛmmisaAhyɛnsode}}
6b.

Now that you converted the quadratic equation into standard form, what are the coefficients?

Find

a=

b=

c=

What is the discriminant?

b² - 4ac=

Ɛhia
10
Ɛhia
20

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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:

Using the Quadratic Formula to Solve Quadratic Equations with Complex Solutions

Quadratic Formula

Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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:

Word Problems

Involving Quadratic Equations

Ɛhia
80
Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
6c.

Because the value of the discriminant was