Accuplacer Advanced Algebra

Find the value of √-72

• 6i√2
• 6√2i
• -36i
• -72i

Find the value of √-9 + 2√-36

• -15
• -15i
• 15i
• 15i²

1.  Find the value of  (5 - 3i) - (-3 + 2i)

• 8 - 5i
• 2 - i
• 8 + 5i
• 2 + 5i

Find the value of (6 + 4i)(1 - 3i) 

• 6 - 16i
• 6 - 14i
• 6 - 26i
• 18 -14i

Simplify the fraction. Write the value of a complex number in standard form: 4 + 4i ∕ 2 - 9i

• -28 + 44i∕-77
• -28 + 44i∕ 85
• 22 + 22i∕ 43
• 44 - 28i∕ -77

Find the conjugate of 
 – 2 + 7i

• 2 + 7i
• -2 - 7i
• 2 - 7i
• 4 - 49i

1.  What does the imaginary number 'i' represent?

• -1
• √1
• √-1
• 1

1.  You find the value of the discriminant of a quadratic to be 17.  What does the value 17 tell you about the solutions of the quadratic equation?

• There are 0 solutions.
• There is 1 real and 1 complex solution.
• There are 2 real solutions.
• There are 2 complex solutions.

Simplify (5 - 5i) + (6 + 3i) Write the result in the form a + bi

• 2 – 11i
• 11 – 2i
• –1 – 8i
• 10 + 3i

 What is the product of
6i(5 - 2i)?
Write the result in the form a + bi

• 12 + 30i
• -12 - 30i
• 12 - 30i
• -12 + 30i