IM Alg2.3.14 Practice: More Arithmetic with Complex Numbers

[size=150]Select [b]all[/b] expressions that are equivalent to [math]8+16i[/math].[/size]

[math]2(4+8i)[/math] [math]\text{-}2i(\text{-}8-4i)[/math] [math]4(2i-4)[/math] [math]4i(4-2i)[/math] [math]2i(8-4i)[/math]

[size=150]Which expression is equivalent to [math](\text{-}4+3i)(2-7i)[/math]?[/size]

[math]\text{-}29-22i[/math] [math]13-22i[/math] [math]\text{-}29+34i[/math] [math]13+34i[/math]

Match the equivalent expressions.

Write each expression in a+bi form.

[math](\text{-}8+3i)-(2+5i)[/math]

[math]7i(4-i)[/math]

[math](3i)^3[/math]

[math](3+5i)(4+3i)[/math]

[math](3i)(\text{-}2i)(4i)[/math]

[size=150]Here is a method for solving the equation [math]\sqrt{5+x}+10=6[/math]. Does the method produce the correct solution to the equation? Explain how you know.[br][math]\begin{align} \sqrt{5+x}+10 &= 6 \\ \sqrt{5+x} &= \text-4 &\text{ (after subtracting 10 from each side)} \\ 5+x &= 16 &\text{ (after squaring both sides)} \\ x &= 11 \\ \end{align}[/math][br][/size]

Write each expression in the form , where a and b are real numbers.a+bi

[math]4(3-i)[/math]

[math](4+2i)+(8-2i)[/math]

[math](1+3i)(4+i)[/math]

[math]i(3+5i)[/math]

[math]2i\cdot7i[/math]

Information: IM Alg2.3.14 Practice: More Arithmetic with Complex Numbers