Algebra 2: Chapter 3 Review

Chapter 3 Test Review

How much do you remember?

Multiple Choice

 Find the zeros of the function:  $f\left(x\right)=2x^2-11x+12$  

•  $x=\frac{2}{3},\ x=4$  

•  $x=-\frac{3}{2},\ x=-4$  

•  $x=\frac{3}{2},\ x=4$  

•  $x=-\frac{2}{3},\ x=-4$  

Multiple Choice

Solve  $x^2-4x=45$   by factoring.

•  $\left\{-5,9\right\}$  

•  $\left\{-9,5\right\}$  

•  $\left\{-9,\ -5\right\}$  

Multiple Choice

Solve  $4x^2-31=49$  by using square roots.

•  $x=2\sqrt{5}$  

•  $x=\pm2\sqrt{5}$  

•  $x=\pm5\sqrt{2}$  

•  $x=5\sqrt{2}$  

Multiple Choice

Simplify:  $\sqrt{-54}$  

•  $i\sqrt{54}$  

•  $6i\sqrt{3}$  

•  $3i\sqrt{6}$  

•  $54i$  

Multiple Choice

Simplify:  $\left(7-6i\right)-\left(3-8i\right)$  

•  $4-14i$  

•  $4-2i$  

•  $4+2i$ 

•  $4+14i$  

Multiple Choice

Multiply:  $\left(9-2i\right)\left(-4+7i\right)$  

•  $5+5i$  

•  $-36-14i$  

•  $-22+71i$ 

•  $50+71i$  

Multiple Choice

Find the value of c that makes  $x^2+8x+c$   a perfect square trinomial.

•  $4$  

•  $-16$  

•  $16$ 

•  $-4$  

Multiple Choice

Solve  $x^2-4x+8=0$ by completing the square.

•  $2\pm2i$  

•  $-2\pm2i$  

•  $0,\ 4$  

•  $4$  

Multiple Choice

 Solve  $x^2-6x+4=0$  by using the Quadratic Formula.

•  $3\pm\sqrt{5}$  

•  $-3\pm\sqrt{5}$  

•  $3\pm\sqrt{13}$  

•  $-3\pm\sqrt{13}$  

Multiple Choice

Find the discriminant of  $x^2+2x-3=0$  and describe the number and type of solutions.

• 2 real solutions 

• 2 imaginary soltuions

• 1 real solution

Multiple Choice

Solve the system:  $x^2+x-y=-1$  and  $x+y=4$  

•  $\left(-3,\ 7\right),\ \left(1,\ 3\right)$  

•  $\left(7,\ 1\right),\ \left(4,\ 5\right)$  

•  $\left(-3,\ 1\right),\ \left(1,\ 5\right)$  

Multiple Choice

Solve  $x^2+10x+9<0$  algebraically.

•  $-9<x<-1$  

•  $-1<x<-9$  

•  $x>-9\ or\ x<-1$  

•  $x>9\ or\ x<1$