SAT Complex Numbers & Other Fun Stuff

Find the absolute value of the complex number.
2 + 3i

• √13
• √5
• √11
• √11

Find the absolute value of the complex number.

-3 + i

• √10

• √7

• 2

• 3

Simplify.
(5-i)(5+i)

• 26
• 24
• 25+i²
• 25-i²

The expression (2 + 3i)² is equal to

• -5
• -5 + 12i
• 13
• 13 + 12i

Simplify.
(10i)(-1i)

• -10i²
• 10
• -10
• -10i

(5-2i) + (-7+8i)

• -2+6i
• 12+6i
• -35-16i²
• -35 -16i

Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?

• 14
• 15
• 16
• 18

If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?

• 10
• 17
• 19
• 23

Each side of the smaller square in the figure below is x inches long, and each side of the larger square is c inches longer than a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?

• xc
•  4c
•  (x + c)^2
•  2xc + c^2

A cube with edges inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?

• 1/4
• 3/4
• √3/2
• √2/2