Chapter 2 Quiz Pre-Cal (2.1 - 2.4)

Subtract. 7−​(−4+3i​)−​(−5−i​) 7−​(−4+3i​)−​(−5−i​)= ​(Simplify your answer. Type your answer in the form a+bi​.)

16 minus 2 i 16−2i

Find the following product and write the result in standard​ form, a+bi. (−1+i)(−1−i) (−1+i)(−1−i) ​=

2

Find the product and write the result in standard form. −6i(6i−2) −6i(6i−2)= ​(Type your answer in the form a+bi. Use integers or fractions for any numbers in the​ expression.)

36 plus 12 i 36+12i

Perform the indicated operations and write the result in standard​ form, a+bi. 6−25+2−64 6−25+2−64 ​= ​(Simplify your​ answer.)

46 i

Write the expression in the standard form a+bi. (7−8i)+(2+3i) (7−8i)+(2+3i)= _______ ​(Simplify your​ answer.)

9 minus 5 i 9−5i

Perform the indicated operation and write the result in standard form. −16−−9 −16−−9= ​(Simplify your answer. Express complex numbers in terms of i. Type an exact​ answer, using radicals as​ needed.)

i

Write the expression in the standard form a+bi. (2+7i)−(3−3i) (2+7i)−(3−3i)= ​(Simplify your​ answer.)

negative 1 plus 10 i −1+10i

Find the product and write the result in standard form. (3−4i)(−2−8i) (3−4i)(−2−8i)= ​(Simplify your answer. Type your answer in the form a+bi​.)

negative 38 minus 16 i −38−16i

Find the following product and write the result in standard​ form, a+bi. (−6+7i)(6+i) (−6+7i)(6+i) ​=

negative 43 plus 36 i −43+36i

Multiply. ​(2+8i​)2 ​(2+8i​)2= ​(Type your answer in the form a​ + bi​.)

negative 60 plus 32 i −60+32i

Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)=7x2or g(x)=−7x2​, but with the given maximum or minimum. Maximum=4 at x=−5 ​h(x)= ___________

negative 7 left parenthesis x plus 5 right parentheses squared plus 4 −7(x+5)2+4

Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)=7x2or g(x)=−7x2​, but with the given maximum or minimum. Maximum=4 at x=−5 ​h(x)=

negative 7 left parenthesis x plus 5 right parenthesis squared plus 4 −7(x+5)2+4

Perform the indicated operations and write the result in standard form. −12+−4524 −12+−4524= ​(Type an exact​ answer, using radicals as needed. Type your answer in the form a​ + bi​.)

negative one half plus i StartFraction StartRoot 5 EndRoot Over 8 EndFraction −1/2+i5/8