COMPLEX NUMBERS WS

FINAL SEQUENCE

LET'S GO WILDCATS (don't forget the apostrophe)

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^= exponent x^2= x squared

(-1-6i)+(-1-3i)

add to make the sequence a+bi -1+(-1)= -2 -6i+(-3i)= -9i answer: -2-9i (C)

(-5-5i)+(5-6i)

add to make the sequence a+bi -5+5=0 -5i-6i=-11i 0-11i answer: 11i (G)

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

add to make the sequence a+bi 5+2= 7 8i+(-i)= 7i answer: 7+7i (T)

(-8-2i)(1-3i)

distribute to make the sequence a+bi -8+24i-2i+6i^2 simplify: -8+22i+6(-1) -8+22i-6 answer: -14+22i (S)

-9-3i/8i

multiply the top and bottom by -i -9-3i(-i)= 9i+3i^2= 9i+3(-1)= 9i-3 8i(-i)= -8i^2= -8(-1)= 8 answer: -3+9i/8 (W)

(5-4i)^2

multiply to make the sequence a+bi (5-4i)(5-4i) 25-20i-20i+16i^2 25-40i+16(-1) 25-40i-16 answer: 9-40i (T)

(3i)(-7i)

multiply to make the sequence a+bi -21i^2 -21(-1) answer: 21 (O)

(7i)(-2+3i)

multiply to make the sequence a+bi = -14i+21i^2 = -14i+21(-1) answer: -21-14i (E)

(3-i)(-4-2i)

multiply to make the sequence a+bi distribute: -12-6i+4i+2i^2 simplify: -12-2i+2(-1) -12-2i-2 answer: -14-2i (I)

2/-3-2i

multiply top and bottom by (-3+2i) 2(-3+2i)= -6+4i -3-2i(-3+2i)= 9-4i^2= 9-4(-1)=9+4=13 answer: -6+4i/13 (S)

-2-2i/7+4i

multiply top and bottom by (7-4i) -2-2i(7-4i)= -14+8i-14i+8i^2= -14-6i+8(-1)= -14-6i-8= -22-6i 7+4i(7-4i)= 49-28i+28i-16i^2= 49-16(-1)= 49+16= 65 answer: -22-6i/65 (A)

-8/-4i

multiply top and bottom by i -8(i)= -8i -4i(i)= -4i^2= -4(-1)= 4 -8i/4 answer: -2i (D)

(-3+5i)-(-8-4i)

subtract to make the sequence a+bi -3-(-8)= 5 5i-(-4i)= -9i answer: 5-9i (L)

START (-4-5i)-(6i)

subtract to make the sequence a+bi: answer: (-4-11i) (L)