2-4 Imaginary Numbers Study Guide

Which expression is equivalent to 4+ 5i- (2-7i)?

• 2 + 12i

• 4 + 3i

• 6 - 21i

• 6 - i

Tags

CCSS.HSN.CN.A.2

Which is a simplified version of the expression (2+ 3i) (−1 − i)?

• 14 - 35i

• 39 + 10i

• -2

• 1 - 5i

Tags

CCSS.HSN.CN.C.8

Which expression represents (12+ 3i) — 6(1 - 4i)?

• 6 - 21i

• 6 - i

• 6 + 7i

• 6 + 27i

Tags

CCSS.HSN.CN.A.2

Consider the expression. 6(i + 2) — 4i(1 + 2i) Which is the simplified version of this expression?

• -20 + 10i

• 20 + 2i

• -4+10i

• 4 + 2i

Tags

CCSS.HSN.RN.A.2

Consider the expression. (2+3i)(4-i) What is a simplification of the expression?

• 5 - 14i

• 5 + 14i

• 11 - 10i

• 11 + 10i

Tags

CCSS.HSN.CN.C.8

What are the complex solutions to the equation x² + 32 = 0 ?

• -16 and 16

• 11 + 10i

• -4√2 and 4√2

• -4i√2 and 4i√2

What are the solutions to the quadratic equation 3x² + 4 = 0?

• i√4/3

• 2

• -i√4/3

• -2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

The figure shows the plot of x² + 1. What are the roots of this function?

• {-i, i}

• i is a double root.

• There are no roots.

• {-3, 7}

Tags

CCSS.HSN.CN.C.9

What is the result of the expression (4 - 2i) (3 + i)?

• 14 - 2i

• 10 + 2i

• 12 + 2i

• 10 - 2i

Tags

CCSS.HSN.CN.A.2

What is the result of the expression (3+2i) - (1-4i)?

• 2 + 6i

• 2 - 6i

• 4 + 2i

• 4 - 2i

Tags

CCSS.HSN.CN.A.2