Algebra 2 Final Exam

Multiply: 
 $(4–3i)(-7–2i)$  

•  $-23+13i$  

•  $-23-29i$  

•  $-34-29i$  

•  $-34+13i$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What is the complex conjugate of  $4-3i$ ? 

•  $\frac{1}{4-3i}$  

•  $\frac{1}{4+3i}$  

•  $-4+3i$  

•  $4+3i$  

Tags

CCSS.HSN.CN.A.3

Simplify.   $u^{-\frac{5}{4}}\cdot\left(u^{\frac{3}{2}}\right)^{\frac{3}{2}}$  

•  $u^{\frac{1}{4}}$  

•  $u$  

•  $u^{\frac{7}{4}}$  

•  $u^3$  

Tags

CCSS.HSN.RN.A.2

Simplify the expression:
 $3^{\frac{1}{3}}\cdot9^{\frac{1}{3}}$  

• 3

• 9

• 1/3

• 27

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Simplify:
 $32^{\frac{3}{5}}$  

• 2

• 8

• 16

• 32

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Factor
 $2x^2-13x-70$  

•  $(2x-7)(x+10)$  

•  $(7x+5)(x+2)$  

•  $(2x+7)(x-10)$  

•  $2(x+7)(x+10)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 $x^2+16$  

•  $\left(x+4\right)\left(x+4\right)$  

•  $(x-4i)(x+4i)$  

•  $(x-8)(x+8)$  

•  $(x-4)(x+4)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.CN.C.8

Solve By Completing the Square:

 $p^2-10p-52=0$  

•  $5\pm\sqrt{77}$  

•  $-5\pm\sqrt{77}$  

•  $5\pm77$  

•  $5+i\sqrt{77}$  

Tags

CCSS.HSA-REI.B.4B

Solve:
 $x^2+12x-5=0$  

•  $6\pm\sqrt{41}$  

•  $-6\pm2\sqrt{41}$  

•  $-6\pm\sqrt{41}$  

•  $-6\pm\sqrt{164}$  

Tags

CCSS.HSA.REI.B.4

Solve:
 $(2x+1)^{\frac{1}{3}}+3=6$  

• 1

• 13

• 4

• 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2